---
_id: '1885'
abstract:
- lang: eng
text: 'The concept of positional information is central to our understanding of
how cells determine their location in a multicellular structure and thereby their
developmental fates. Nevertheless, positional information has neither been defined
mathematically nor quantified in a principled way. Here we provide an information-theoretic
definition in the context of developmental gene expression patterns and examine
the features of expression patterns that affect positional information quantitatively.
We connect positional information with the concept of positional error and develop
tools to directly measure information and error from experimental data. We illustrate
our framework for the case of gap gene expression patterns in the early Drosophila
embryo and show how information that is distributed among only four genes is sufficient
to determine developmental fates with nearly single-cell resolution. Our approach
can be generalized to a variety of different model systems; procedures and examples
are discussed in detail. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Gasper
full_name: Tkacik, Gasper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: Julien
full_name: Dubuis, Julien
last_name: Dubuis
- first_name: Mariela
full_name: Petkova, Mariela
last_name: Petkova
- first_name: Thomas
full_name: Gregor, Thomas
last_name: Gregor
citation:
ama: 'Tkačik G, Dubuis J, Petkova M, Gregor T. Positional information, positional
error, and readout precision in morphogenesis: A mathematical framework. Genetics.
2015;199(1):39-59. doi:10.1534/genetics.114.171850'
apa: 'Tkačik, G., Dubuis, J., Petkova, M., & Gregor, T. (2015). Positional information,
positional error, and readout precision in morphogenesis: A mathematical framework.
Genetics. Genetics Society of America. https://doi.org/10.1534/genetics.114.171850'
chicago: 'Tkačik, Gašper, Julien Dubuis, Mariela Petkova, and Thomas Gregor. “Positional
Information, Positional Error, and Readout Precision in Morphogenesis: A Mathematical
Framework.” Genetics. Genetics Society of America, 2015. https://doi.org/10.1534/genetics.114.171850.'
ieee: 'G. Tkačik, J. Dubuis, M. Petkova, and T. Gregor, “Positional information,
positional error, and readout precision in morphogenesis: A mathematical framework,”
Genetics, vol. 199, no. 1. Genetics Society of America, pp. 39–59, 2015.'
ista: 'Tkačik G, Dubuis J, Petkova M, Gregor T. 2015. Positional information, positional
error, and readout precision in morphogenesis: A mathematical framework. Genetics.
199(1), 39–59.'
mla: 'Tkačik, Gašper, et al. “Positional Information, Positional Error, and Readout
Precision in Morphogenesis: A Mathematical Framework.” Genetics, vol. 199,
no. 1, Genetics Society of America, 2015, pp. 39–59, doi:10.1534/genetics.114.171850.'
short: G. Tkačik, J. Dubuis, M. Petkova, T. Gregor, Genetics 199 (2015) 39–59.
corr_author: '1'
date_created: 2018-12-11T11:54:32Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-09-23T09:53:07Z
day: '01'
department:
- _id: GaTk
doi: 10.1534/genetics.114.171850
external_id:
arxiv:
- '1404.5599'
isi:
- '000347712900004'
intvolume: ' 199'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.5599
month: '01'
oa: 1
oa_version: Preprint
page: 39 - 59
publication: Genetics
publication_status: published
publisher: Genetics Society of America
publist_id: '5210'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Positional information, positional error, and readout precision in morphogenesis:
A mathematical framework'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 199
year: '2015'
...
---
_id: '1938'
abstract:
- lang: eng
text: 'We numerically investigate the distribution of extrema of ''chaotic'' Laplacian
eigenfunctions on two-dimensional manifolds. Our contribution is two-fold: (a)
we count extrema on grid graphs with a small number of randomly added edges and
show the behavior to coincide with the 1957 prediction of Longuet-Higgins for
the continuous case and (b) we compute the regularity of their spatial distribution
using discrepancy, which is a classical measure from the theory of Monte Carlo
integration. The first part suggests that grid graphs with randomly added edges
should behave like two-dimensional surfaces with ergodic geodesic flow; in the
second part we show that the extrema are more regularly distributed in space than
the grid Z2.'
acknowledgement: "F.P. was supported by the Graduate School of IST Austria. S.S. was
partially supported by CRC1060 of the DFG\r\nThe authors thank Olga Symonova and
Michael Kerber for sharing their implementation of the persistence algorithm. "
article_processing_charge: No
author:
- first_name: Florian
full_name: Pausinger, Florian
id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
last_name: Pausinger
orcid: 0000-0002-8379-3768
- first_name: Stefan
full_name: Steinerberger, Stefan
last_name: Steinerberger
citation:
ama: Pausinger F, Steinerberger S. On the distribution of local extrema in quantum
chaos. Physics Letters, Section A. 2015;379(6):535-541. doi:10.1016/j.physleta.2014.12.010
apa: Pausinger, F., & Steinerberger, S. (2015). On the distribution of local
extrema in quantum chaos. Physics Letters, Section A. Elsevier. https://doi.org/10.1016/j.physleta.2014.12.010
chicago: Pausinger, Florian, and Stefan Steinerberger. “On the Distribution of Local
Extrema in Quantum Chaos.” Physics Letters, Section A. Elsevier, 2015.
https://doi.org/10.1016/j.physleta.2014.12.010.
ieee: F. Pausinger and S. Steinerberger, “On the distribution of local extrema in
quantum chaos,” Physics Letters, Section A, vol. 379, no. 6. Elsevier,
pp. 535–541, 2015.
ista: Pausinger F, Steinerberger S. 2015. On the distribution of local extrema in
quantum chaos. Physics Letters, Section A. 379(6), 535–541.
mla: Pausinger, Florian, and Stefan Steinerberger. “On the Distribution of Local
Extrema in Quantum Chaos.” Physics Letters, Section A, vol. 379, no. 6,
Elsevier, 2015, pp. 535–41, doi:10.1016/j.physleta.2014.12.010.
short: F. Pausinger, S. Steinerberger, Physics Letters, Section A 379 (2015) 535–541.
corr_author: '1'
date_created: 2018-12-11T11:54:49Z
date_published: 2015-03-06T00:00:00Z
date_updated: 2025-09-23T09:44:12Z
day: '06'
department:
- _id: HeEd
doi: 10.1016/j.physleta.2014.12.010
external_id:
isi:
- '000349586000006'
intvolume: ' 379'
isi: 1
issue: '6'
language:
- iso: eng
month: '03'
oa_version: None
page: 535 - 541
publication: Physics Letters, Section A
publication_status: published
publisher: Elsevier
publist_id: '5152'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the distribution of local extrema in quantum chaos
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 379
year: '2015'
...
---
_id: '1940'
abstract:
- lang: eng
text: We typically think of cells as responding to external signals independently
by regulating their gene expression levels, yet they often locally exchange information
and coordinate. Can such spatial coupling be of benefit for conveying signals
subject to gene regulatory noise? Here we extend our information-theoretic framework
for gene regulation to spatially extended systems. As an example, we consider
a lattice of nuclei responding to a concentration field of a transcriptional regulator
(the "input") by expressing a single diffusible target gene. When input
concentrations are low, diffusive coupling markedly improves information transmission;
optimal gene activation functions also systematically change. A qualitatively
new regulatory strategy emerges where individual cells respond to the input in
a nearly step-like fashion that is subsequently averaged out by strong diffusion.
While motivated by early patterning events in the Drosophila embryo, our framework
is generically applicable to spatially coupled stochastic gene expression models.
article_number: '062710'
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas R
full_name: Sokolowski, Thomas R
id: 3E999752-F248-11E8-B48F-1D18A9856A87
last_name: Sokolowski
orcid: 0000-0002-1287-3779
- first_name: Gasper
full_name: Tkacik, Gasper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
citation:
ama: Sokolowski TR, Tkačik G. Optimizing information flow in small genetic networks.
IV. Spatial coupling. Physical Review E Statistical Nonlinear and Soft Matter
Physics. 2015;91(6). doi:10.1103/PhysRevE.91.062710
apa: Sokolowski, T. R., & Tkačik, G. (2015). Optimizing information flow in
small genetic networks. IV. Spatial coupling. Physical Review E Statistical
Nonlinear and Soft Matter Physics. American Institute of Physics. https://doi.org/10.1103/PhysRevE.91.062710
chicago: Sokolowski, Thomas R, and Gašper Tkačik. “Optimizing Information Flow in
Small Genetic Networks. IV. Spatial Coupling.” Physical Review E Statistical
Nonlinear and Soft Matter Physics. American Institute of Physics, 2015. https://doi.org/10.1103/PhysRevE.91.062710.
ieee: T. R. Sokolowski and G. Tkačik, “Optimizing information flow in small genetic
networks. IV. Spatial coupling,” Physical Review E Statistical Nonlinear and
Soft Matter Physics, vol. 91, no. 6. American Institute of Physics, 2015.
ista: Sokolowski TR, Tkačik G. 2015. Optimizing information flow in small genetic
networks. IV. Spatial coupling. Physical Review E Statistical Nonlinear and Soft
Matter Physics. 91(6), 062710.
mla: Sokolowski, Thomas R., and Gašper Tkačik. “Optimizing Information Flow in Small
Genetic Networks. IV. Spatial Coupling.” Physical Review E Statistical Nonlinear
and Soft Matter Physics, vol. 91, no. 6, 062710, American Institute of Physics,
2015, doi:10.1103/PhysRevE.91.062710.
short: T.R. Sokolowski, G. Tkačik, Physical Review E Statistical Nonlinear and Soft
Matter Physics 91 (2015).
corr_author: '1'
date_created: 2018-12-11T11:54:49Z
date_published: 2015-06-15T00:00:00Z
date_updated: 2025-09-23T09:46:10Z
day: '15'
department:
- _id: GaTk
doi: 10.1103/PhysRevE.91.062710
external_id:
arxiv:
- '1501.04015'
isi:
- '000356131600006'
intvolume: ' 91'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1501.04015
month: '06'
oa: 1
oa_version: Preprint
publication: Physical Review E Statistical Nonlinear and Soft Matter Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5145'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimizing information flow in small genetic networks. IV. Spatial coupling
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 91
year: '2015'
...
---
_id: '1944'
acknowledgement: This work was supported by the European Research Council (project
ERC-2011-StG-20101109-PSDP); the Agency for Innovation by Science and Technology
(IWT) (predoctoral fellowship to H.R.); and the People Programme (Marie Curie Actions)
of the European Union
article_processing_charge: No
author:
- first_name: Hana
full_name: Rakusová, Hana
last_name: Rakusová
- first_name: Matyas
full_name: Fendrych, Matyas
id: 43905548-F248-11E8-B48F-1D18A9856A87
last_name: Fendrych
orcid: 0000-0002-9767-8699
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Rakusová H, Fendrych M, Friml J. Intracellular trafficking and PIN-mediated
cell polarity during tropic responses in plants. Current Opinion in Plant Biology.
2015;23(2):116-123. doi:10.1016/j.pbi.2014.12.002
apa: Rakusová, H., Fendrych, M., & Friml, J. (2015). Intracellular trafficking
and PIN-mediated cell polarity during tropic responses in plants. Current Opinion
in Plant Biology. Elsevier. https://doi.org/10.1016/j.pbi.2014.12.002
chicago: Rakusová, Hana, Matyas Fendrych, and Jiří Friml. “Intracellular Trafficking
and PIN-Mediated Cell Polarity during Tropic Responses in Plants.” Current
Opinion in Plant Biology. Elsevier, 2015. https://doi.org/10.1016/j.pbi.2014.12.002.
ieee: H. Rakusová, M. Fendrych, and J. Friml, “Intracellular trafficking and PIN-mediated
cell polarity during tropic responses in plants,” Current Opinion in Plant
Biology, vol. 23, no. 2. Elsevier, pp. 116–123, 2015.
ista: Rakusová H, Fendrych M, Friml J. 2015. Intracellular trafficking and PIN-mediated
cell polarity during tropic responses in plants. Current Opinion in Plant Biology.
23(2), 116–123.
mla: Rakusová, Hana, et al. “Intracellular Trafficking and PIN-Mediated Cell Polarity
during Tropic Responses in Plants.” Current Opinion in Plant Biology, vol.
23, no. 2, Elsevier, 2015, pp. 116–23, doi:10.1016/j.pbi.2014.12.002.
short: H. Rakusová, M. Fendrych, J. Friml, Current Opinion in Plant Biology 23 (2015)
116–123.
corr_author: '1'
date_created: 2018-12-11T11:54:51Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-23T09:23:09Z
day: '01'
department:
- _id: JiFr
doi: 10.1016/j.pbi.2014.12.002
ec_funded: 1
external_id:
isi:
- '000349880900017'
intvolume: ' 23'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa_version: None
page: 116 - 123
project:
- _id: 25716A02-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '282300'
name: Polarity and subcellular dynamics in plants
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Current Opinion in Plant Biology
publication_status: published
publisher: Elsevier
publist_id: '5140'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Intracellular trafficking and PIN-mediated cell polarity during tropic responses
in plants
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 23
year: '2015'
...
---
_id: '1481'
abstract:
- lang: eng
text: 'Simple board games, like Tic-Tac-Toe and CONNECT-4, play an important role
not only in the development of mathematical and logical skills, but also in the
emotional and social development. In this paper, we address the problem of generating
targeted starting positions for such games. This can facilitate new approaches
for bringing novice players to mastery, and also leads to discovery of interesting
game variants. We present an approach that generates starting states of varying
hardness levels for player 1 in a two-player board game, given rules of the board
game, the desired number of steps required for player 1 to win, and the expertise
levels of the two players. Our approach leverages symbolic methods and iterative
simulation to efficiently search the extremely large state space. We present experimental
results that include discovery of states of varying hardness levels for several
simple grid-based board games. The presence of such states for standard game variants
like 4×4 Tic-Tac-Toe opens up new games to be played that have never been played
as the default start state is heavily biased. '
acknowledgement: "A Technical Report of this paper is available at: \r\nhttps://repository.ist.ac.at/id/eprint/146.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Umair
full_name: Ahmed, Umair
last_name: Ahmed
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Sumit
full_name: Gulwani, Sumit
last_name: Gulwani
citation:
ama: 'Ahmed U, Chatterjee K, Gulwani S. Automatic generation of alternative starting
positions for simple traditional board games. In: Proceedings of the Twenty-Ninth
AAAI Conference on Artificial Intelligence. Vol 2. AAAI Press; 2015:745-752.'
apa: 'Ahmed, U., Chatterjee, K., & Gulwani, S. (2015). Automatic generation
of alternative starting positions for simple traditional board games. In Proceedings
of the Twenty-Ninth AAAI Conference on Artificial Intelligence (Vol. 2, pp.
745–752). Austin, TX, USA: AAAI Press.'
chicago: Ahmed, Umair, Krishnendu Chatterjee, and Sumit Gulwani. “Automatic Generation
of Alternative Starting Positions for Simple Traditional Board Games.” In Proceedings
of the Twenty-Ninth AAAI Conference on Artificial Intelligence, 2:745–52.
AAAI Press, 2015.
ieee: U. Ahmed, K. Chatterjee, and S. Gulwani, “Automatic generation of alternative
starting positions for simple traditional board games,” in Proceedings of the
Twenty-Ninth AAAI Conference on Artificial Intelligence, Austin, TX, USA,
2015, vol. 2, pp. 745–752.
ista: 'Ahmed U, Chatterjee K, Gulwani S. 2015. Automatic generation of alternative
starting positions for simple traditional board games. Proceedings of the Twenty-Ninth
AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial Intelligence
vol. 2, 745–752.'
mla: Ahmed, Umair, et al. “Automatic Generation of Alternative Starting Positions
for Simple Traditional Board Games.” Proceedings of the Twenty-Ninth AAAI Conference
on Artificial Intelligence, vol. 2, AAAI Press, 2015, pp. 745–52.
short: U. Ahmed, K. Chatterjee, S. Gulwani, in:, Proceedings of the Twenty-Ninth
AAAI Conference on Artificial Intelligence, AAAI Press, 2015, pp. 745–752.
conference:
end_date: 2015-01-30
location: Austin, TX, USA
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2015-01-25
date_created: 2018-12-11T11:52:16Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-05-19T11:10:17Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
external_id:
arxiv:
- '1411.4023'
intvolume: ' 2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.aaai.org/ocs/index.php/AAAI/AAAI15/paper/download/9523/9300
month: '01'
oa: 1
oa_version: None
page: 745 - 752
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence
publication_status: published
publisher: AAAI Press
publist_id: '5713'
quality_controlled: '1'
related_material:
record:
- id: '5410'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Automatic generation of alternative starting positions for simple traditional
board games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2015'
...
---
_id: '1483'
abstract:
- lang: eng
text: Topological data analysis offers a rich source of valuable information to
study vision problems. Yet, so far we lack a theoretically sound connection to
popular kernel-based learning techniques, such as kernel SVMs or kernel PCA. In
this work, we establish such a connection by designing a multi-scale kernel for
persistence diagrams, a stable summary representation of topological features
in data. We show that this kernel is positive definite and prove its stability
with respect to the 1-Wasserstein distance. Experiments on two benchmark datasets
for 3D shape classification/retrieval and texture recognition show considerable
performance gains of the proposed method compared to an alternative approach that
is based on the recently introduced persistence landscapes.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan
full_name: Reininghaus, Jan
id: 4505473A-F248-11E8-B48F-1D18A9856A87
last_name: Reininghaus
- first_name: Stefan
full_name: Huber, Stefan
id: 4700A070-F248-11E8-B48F-1D18A9856A87
last_name: Huber
orcid: 0000-0002-8871-5814
- first_name: Ulrich
full_name: Bauer, Ulrich
id: 2ADD483A-F248-11E8-B48F-1D18A9856A87
last_name: Bauer
orcid: 0000-0002-9683-0724
- first_name: Roland
full_name: Kwitt, Roland
last_name: Kwitt
citation:
ama: 'Reininghaus J, Huber S, Bauer U, Kwitt R. A stable multi-scale kernel for
topological machine learning. In: IEEE; 2015:4741-4748. doi:10.1109/CVPR.2015.7299106'
apa: 'Reininghaus, J., Huber, S., Bauer, U., & Kwitt, R. (2015). A stable multi-scale
kernel for topological machine learning (pp. 4741–4748). Presented at the CVPR:
Computer Vision and Pattern Recognition, Boston, MA, USA: IEEE. https://doi.org/10.1109/CVPR.2015.7299106'
chicago: Reininghaus, Jan, Stefan Huber, Ulrich Bauer, and Roland Kwitt. “A Stable
Multi-Scale Kernel for Topological Machine Learning,” 4741–48. IEEE, 2015. https://doi.org/10.1109/CVPR.2015.7299106.
ieee: 'J. Reininghaus, S. Huber, U. Bauer, and R. Kwitt, “A stable multi-scale kernel
for topological machine learning,” presented at the CVPR: Computer Vision and
Pattern Recognition, Boston, MA, USA, 2015, pp. 4741–4748.'
ista: 'Reininghaus J, Huber S, Bauer U, Kwitt R. 2015. A stable multi-scale kernel
for topological machine learning. CVPR: Computer Vision and Pattern Recognition,
4741–4748.'
mla: Reininghaus, Jan, et al. A Stable Multi-Scale Kernel for Topological Machine
Learning. IEEE, 2015, pp. 4741–48, doi:10.1109/CVPR.2015.7299106.
short: J. Reininghaus, S. Huber, U. Bauer, R. Kwitt, in:, IEEE, 2015, pp. 4741–4748.
conference:
end_date: 2015-06-12
location: Boston, MA, USA
name: 'CVPR: Computer Vision and Pattern Recognition'
start_date: 2015-06-07
date_created: 2018-12-11T11:52:17Z
date_published: 2015-10-14T00:00:00Z
date_updated: 2025-06-11T06:37:43Z
day: '14'
department:
- _id: HeEd
doi: 10.1109/CVPR.2015.7299106
external_id:
arxiv:
- '1412.6821'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1412.6821
month: '10'
oa: 1
oa_version: Preprint
page: 4741 - 4748
publication_identifier:
eisbn:
- '978-1-4673-6964-0 '
publication_status: published
publisher: IEEE
publist_id: '5709'
scopus_import: '1'
status: public
title: A stable multi-scale kernel for topological machine learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1495'
abstract:
- lang: eng
text: 'Motivated by biological questions, we study configurations of equal-sized
disks in the Euclidean plane that neither pack nor cover. Measuring the quality
by the probability that a random point lies in exactly one disk, we show that
the regular hexagonal grid gives the maximum among lattice configurations. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Mabel
full_name: Iglesias Ham, Mabel
id: 41B58C0C-F248-11E8-B48F-1D18A9856A87
last_name: Iglesias Ham
- first_name: Vitaliy
full_name: Kurlin, Vitaliy
last_name: Kurlin
citation:
ama: 'Edelsbrunner H, Iglesias Ham M, Kurlin V. Relaxed disk packing. In: Proceedings
of the 27th Canadian Conference on Computational Geometry. Vol 2015-August.
Queen’s University; 2015:128-135.'
apa: 'Edelsbrunner, H., Iglesias Ham, M., & Kurlin, V. (2015). Relaxed disk
packing. In Proceedings of the 27th Canadian Conference on Computational Geometry
(Vol. 2015–August, pp. 128–135). Ontario, Canada: Queen’s University.'
chicago: Edelsbrunner, Herbert, Mabel Iglesias Ham, and Vitaliy Kurlin. “Relaxed
Disk Packing.” In Proceedings of the 27th Canadian Conference on Computational
Geometry, 2015–August:128–35. Queen’s University, 2015.
ieee: H. Edelsbrunner, M. Iglesias Ham, and V. Kurlin, “Relaxed disk packing,” in
Proceedings of the 27th Canadian Conference on Computational Geometry,
Ontario, Canada, 2015, vol. 2015–August, pp. 128–135.
ista: 'Edelsbrunner H, Iglesias Ham M, Kurlin V. 2015. Relaxed disk packing. Proceedings
of the 27th Canadian Conference on Computational Geometry. CCCG: Canadian Conference
on Computational Geometry vol. 2015–August, 128–135.'
mla: Edelsbrunner, Herbert, et al. “Relaxed Disk Packing.” Proceedings of the
27th Canadian Conference on Computational Geometry, vol. 2015–August, Queen’s
University, 2015, pp. 128–35.
short: H. Edelsbrunner, M. Iglesias Ham, V. Kurlin, in:, Proceedings of the 27th
Canadian Conference on Computational Geometry, Queen’s University, 2015, pp. 128–135.
conference:
end_date: 2015-08-12
location: Ontario, Canada
name: 'CCCG: Canadian Conference on Computational Geometry'
start_date: 2015-08-10
date_created: 2018-12-11T11:52:21Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2025-06-11T06:38:01Z
day: '01'
department:
- _id: HeEd
ec_funded: 1
external_id:
arxiv:
- '1505.03402'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1505.03402
month: '08'
oa: 1
oa_version: Submitted Version
page: 128-135
project:
- _id: 255D761E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '318493'
name: Topological Complex Systems
publication: Proceedings of the 27th Canadian Conference on Computational Geometry
publication_status: published
publisher: Queen's University
publist_id: '5684'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Relaxed disk packing
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2015-August
year: '2015'
...
---
_id: '1497'
abstract:
- lang: eng
text: Detecting allelic biases from high-throughput sequencing data requires an
approach that maximises sensitivity while minimizing false positives. Here, we
present Allelome.PRO, an automated user-friendly bioinformatics pipeline, which
uses high-throughput sequencing data from reciprocal crosses of two genetically
distinct mouse strains to detect allele-specific expression and chromatin modifications.
Allelome.PRO extends approaches used in previous studies that exclusively analyzed
imprinted expression to give a complete picture of the ‘allelome’ by automatically
categorising the allelic expression of all genes in a given cell type into imprinted,
strain-biased, biallelic or non-informative. Allelome.PRO offers increased sensitivity
to analyze lowly expressed transcripts, together with a robust false discovery
rate empirically calculated from variation in the sequencing data. We used RNA-seq
data from mouse embryonic fibroblasts from F1 reciprocal crosses to determine
a biologically relevant allelic ratio cutoff, and define for the first time an
entire allelome. Furthermore, we show that Allelome.PRO detects differential enrichment
of H3K4me3 over promoters from ChIP-seq data validating the RNA-seq results. This
approach can be easily extended to analyze histone marks of active enhancers,
or transcription factor binding sites and therefore provides a powerful tool to
identify candidate cis regulatory elements genome wide.
acknowledgement: "Austrian Science Fund [FWF P25185-B22, FWF F4302- B09, FWFW1207-B09].
Funding for open access charge: Austrian Science Fund.\r\nWe thank Florian Breitwieser
for advice during the early stages of this project. High-throughput sequencing was
conducted by the Biomedical Sequencing Facility (BSF) at CeMM in Vienna."
article_number: e146
article_processing_charge: No
author:
- first_name: Daniel
full_name: Andergassen, Daniel
last_name: Andergassen
- first_name: Christoph
full_name: Dotter, Christoph
id: 4C66542E-F248-11E8-B48F-1D18A9856A87
last_name: Dotter
orcid: 0000-0002-9033-9096
- first_name: Tomasz
full_name: Kulinski, Tomasz
last_name: Kulinski
- first_name: Philipp
full_name: Guenzl, Philipp
last_name: Guenzl
- first_name: Philipp
full_name: Bammer, Philipp
last_name: Bammer
- first_name: Denise
full_name: Barlow, Denise
last_name: Barlow
- first_name: Florian
full_name: Pauler, Florian
last_name: Pauler
- first_name: Quanah
full_name: Hudson, Quanah
last_name: Hudson
citation:
ama: Andergassen D, Dotter C, Kulinski T, et al. Allelome.PRO, a pipeline to define
allele-specific genomic features from high-throughput sequencing data. Nucleic
Acids Research. 2015;43(21). doi:10.1093/nar/gkv727
apa: Andergassen, D., Dotter, C., Kulinski, T., Guenzl, P., Bammer, P., Barlow,
D., … Hudson, Q. (2015). Allelome.PRO, a pipeline to define allele-specific genomic
features from high-throughput sequencing data. Nucleic Acids Research.
Oxford University Press. https://doi.org/10.1093/nar/gkv727
chicago: Andergassen, Daniel, Christoph Dotter, Tomasz Kulinski, Philipp Guenzl,
Philipp Bammer, Denise Barlow, Florian Pauler, and Quanah Hudson. “Allelome.PRO,
a Pipeline to Define Allele-Specific Genomic Features from High-Throughput Sequencing
Data.” Nucleic Acids Research. Oxford University Press, 2015. https://doi.org/10.1093/nar/gkv727.
ieee: D. Andergassen et al., “Allelome.PRO, a pipeline to define allele-specific
genomic features from high-throughput sequencing data,” Nucleic Acids Research,
vol. 43, no. 21. Oxford University Press, 2015.
ista: Andergassen D, Dotter C, Kulinski T, Guenzl P, Bammer P, Barlow D, Pauler
F, Hudson Q. 2015. Allelome.PRO, a pipeline to define allele-specific genomic
features from high-throughput sequencing data. Nucleic Acids Research. 43(21),
e146.
mla: Andergassen, Daniel, et al. “Allelome.PRO, a Pipeline to Define Allele-Specific
Genomic Features from High-Throughput Sequencing Data.” Nucleic Acids Research,
vol. 43, no. 21, e146, Oxford University Press, 2015, doi:10.1093/nar/gkv727.
short: D. Andergassen, C. Dotter, T. Kulinski, P. Guenzl, P. Bammer, D. Barlow,
F. Pauler, Q. Hudson, Nucleic Acids Research 43 (2015).
date_created: 2018-12-11T11:52:22Z
date_published: 2015-07-21T00:00:00Z
date_updated: 2025-09-23T07:45:31Z
day: '21'
ddc:
- '570'
department:
- _id: GaNo
doi: 10.1093/nar/gkv727
external_id:
isi:
- '000366410900009'
file:
- access_level: open_access
checksum: 385b83854fd0eb2e4f386867da2823e2
content_type: application/pdf
creator: dernst
date_created: 2018-12-20T14:18:57Z
date_updated: 2020-07-14T12:44:58Z
file_id: '5768'
file_name: 2015_NucleicAcidsRes_Andergassen.pdf
file_size: 6863297
relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: ' 43'
isi: 1
issue: '21'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '07'
oa: 1
oa_version: Published Version
publication: Nucleic Acids Research
publication_status: published
publisher: Oxford University Press
publist_id: '5682'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Allelome.PRO, a pipeline to define allele-specific genomic features from high-throughput
sequencing data
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 43
year: '2015'
...
---
_id: '1498'
abstract:
- lang: eng
text: Fault-tolerant distributed algorithms play an important role in many critical/high-availability
applications. These algorithms are notoriously difficult to implement correctly,
due to asynchronous communication and the occurrence of faults, such as the network
dropping messages or computers crashing. Nonetheless there is surprisingly little
language and verification support to build distributed systems based on fault-tolerant
algorithms. In this paper, we present some of the challenges that a designer has
to overcome to implement a fault-tolerant distributed system. Then we review different
models that have been proposed to reason about distributed algorithms and sketch
how such a model can form the basis for a domain-specific programming language.
Adopting a high-level programming model can simplify the programmer's life and
make the code amenable to automated verification, while still compiling to efficiently
executable code. We conclude by summarizing the current status of an ongoing language
design and implementation project that is based on this idea.
alternative_title:
- LIPIcs
author:
- first_name: Cezara
full_name: Dragoi, Cezara
id: 2B2B5ED0-F248-11E8-B48F-1D18A9856A87
last_name: Dragoi
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Damien
full_name: Zufferey, Damien
id: 4397AC76-F248-11E8-B48F-1D18A9856A87
last_name: Zufferey
orcid: 0000-0002-3197-8736
citation:
ama: Dragoi C, Henzinger TA, Zufferey D. The need for language support for fault-tolerant
distributed systems. 2015;32:90-102. doi:10.4230/LIPIcs.SNAPL.2015.90
apa: 'Dragoi, C., Henzinger, T. A., & Zufferey, D. (2015). The need for language
support for fault-tolerant distributed systems. Presented at the SNAPL: Summit
oN Advances in Programming Languages, Asilomar, CA, United States: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SNAPL.2015.90'
chicago: Dragoi, Cezara, Thomas A Henzinger, and Damien Zufferey. “The Need for
Language Support for Fault-Tolerant Distributed Systems.” Leibniz International
Proceedings in Informatics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2015. https://doi.org/10.4230/LIPIcs.SNAPL.2015.90.
ieee: C. Dragoi, T. A. Henzinger, and D. Zufferey, “The need for language support
for fault-tolerant distributed systems,” vol. 32. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, pp. 90–102, 2015.
ista: Dragoi C, Henzinger TA, Zufferey D. 2015. The need for language support for
fault-tolerant distributed systems. 32, 90–102.
mla: Dragoi, Cezara, et al. The Need for Language Support for Fault-Tolerant
Distributed Systems. Vol. 32, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2015, pp. 90–102, doi:10.4230/LIPIcs.SNAPL.2015.90.
short: C. Dragoi, T.A. Henzinger, D. Zufferey, 32 (2015) 90–102.
conference:
end_date: 2015-05-06
location: Asilomar, CA, United States
name: 'SNAPL: Summit oN Advances in Programming Languages'
start_date: 2015-05-03
corr_author: '1'
date_created: 2018-12-11T11:52:22Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-04-15T06:26:02Z
day: '01'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.SNAPL.2015.90
ec_funded: 1
file:
- access_level: open_access
checksum: cf5e94baa89a2dc4c5de01abc676eda8
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:14:02Z
date_updated: 2020-07-14T12:44:58Z
file_id: '5050'
file_name: IST-2016-499-v1+1_9.pdf
file_size: 489362
relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: ' 32'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 90 - 102
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: Formal methods for the design and analysis of complex systems
publication_identifier:
isbn:
- '978-3-939897-80-4 '
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5681'
pubrep_id: '499'
quality_controlled: '1'
scopus_import: 1
series_title: Leibniz International Proceedings in Informatics
status: public
title: The need for language support for fault-tolerant distributed systems
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2015'
...
---
_id: '1499'
abstract:
- lang: eng
text: "We consider weighted automata with both positive and negative integer weights
on edges and\r\nstudy the problem of synchronization using adaptive strategies
that may only observe whether\r\nthe current weight-level is negative or nonnegative.
We show that the synchronization problem is decidable in polynomial time for deterministic
weighted automata."
acknowledgement: "The research leading to these results has received funding from
the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement
601148 (CASSTING), EU FP7 FET project SENSATION, Sino-Danish Basic Research Center
IDAE4CPS, the European Research Council (ERC) under grant agreement 267989 (QUAREM),
the Austrian Science Fund (FWF) project S11402-N23 (RiSE) and Z211-N23 (Wittgenstein
Award), the Czech Science Foundation under grant agreement P202/12/G061, and People
Programme (Marie Curie Actions) of the European Union’s Seventh Framework\r\nProgramme
(FP7/2007-2013) REA Grant No 291734."
alternative_title:
- LIPIcs
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Kim
full_name: Larsen, Kim
last_name: Larsen
- first_name: Simon
full_name: Laursen, Simon
last_name: Laursen
- first_name: Jiří
full_name: Srba, Jiří
last_name: Srba
citation:
ama: 'Kretinsky J, Larsen K, Laursen S, Srba J. Polynomial time decidability of
weighted synchronization under partial observability. In: Vol 42. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2015:142-154. doi:10.4230/LIPIcs.CONCUR.2015.142'
apa: 'Kretinsky, J., Larsen, K., Laursen, S., & Srba, J. (2015). Polynomial
time decidability of weighted synchronization under partial observability (Vol.
42, pp. 142–154). Presented at the CONCUR: Concurrency Theory, Madrid, Spain:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2015.142'
chicago: Kretinsky, Jan, Kim Larsen, Simon Laursen, and Jiří Srba. “Polynomial Time
Decidability of Weighted Synchronization under Partial Observability,” 42:142–54.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015. https://doi.org/10.4230/LIPIcs.CONCUR.2015.142.
ieee: 'J. Kretinsky, K. Larsen, S. Laursen, and J. Srba, “Polynomial time decidability
of weighted synchronization under partial observability,” presented at the CONCUR:
Concurrency Theory, Madrid, Spain, 2015, vol. 42, pp. 142–154.'
ista: 'Kretinsky J, Larsen K, Laursen S, Srba J. 2015. Polynomial time decidability
of weighted synchronization under partial observability. CONCUR: Concurrency Theory,
LIPIcs, vol. 42, 142–154.'
mla: Kretinsky, Jan, et al. Polynomial Time Decidability of Weighted Synchronization
under Partial Observability. Vol. 42, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2015, pp. 142–54, doi:10.4230/LIPIcs.CONCUR.2015.142.
short: J. Kretinsky, K. Larsen, S. Laursen, J. Srba, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2015, pp. 142–154.
conference:
end_date: 2015-09-04
location: Madrid, Spain
name: 'CONCUR: Concurrency Theory'
start_date: 2015-09-01
date_created: 2018-12-11T11:52:22Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-04-15T06:26:02Z
day: '01'
ddc:
- '000'
- '003'
department:
- _id: ToHe
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2015.142
ec_funded: 1
file:
- access_level: open_access
checksum: 49eb5021caafaabe5356c65b9c5f8c9c
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:12Z
date_updated: 2020-07-14T12:44:58Z
file_id: '4672'
file_name: IST-2016-498-v1+1_32.pdf
file_size: 623563
relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: ' 42'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 142 - 154
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: Formal methods for the design and analysis of complex systems
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5680'
pubrep_id: '498'
quality_controlled: '1'
scopus_import: 1
status: public
title: Polynomial time decidability of weighted synchronization under partial observability
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
year: '2015'
...
---
_id: '1503'
abstract:
- lang: eng
text: A Herman-Avila-Bochi type formula is obtained for the average sum of the top
d Lyapunov exponents over a one-parameter family of double-struck G-cocycles,
where double-struck G is the group that leaves a certain, non-degenerate Hermitian
form of signature (c, d) invariant. The generic example of such a group is the
pseudo-unitary group U(c, d) or, in the case c = d, the Hermitian-symplectic group
HSp(2d) which naturally appears for cocycles related to Schrödinger operators.
In the case d = 1, the formula for HSp(2d) cocycles reduces to the Herman-Avila-Bochi
formula for SL(2, ℝ) cocycles.
article_processing_charge: No
author:
- first_name: Christian
full_name: Sadel, Christian
id: 4760E9F8-F248-11E8-B48F-1D18A9856A87
last_name: Sadel
orcid: 0000-0001-8255-3968
citation:
ama: Sadel C. A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary
and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems.
2015;35(5):1582-1591. doi:10.1017/etds.2013.103
apa: Sadel, C. (2015). A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary
and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems.
Cambridge University Press. https://doi.org/10.1017/etds.2013.103
chicago: Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional
Pseudo-Unitary and Hermitian-Symplectic-Cocycles.” Ergodic Theory and Dynamical
Systems. Cambridge University Press, 2015. https://doi.org/10.1017/etds.2013.103.
ieee: C. Sadel, “A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary
and Hermitian-symplectic-cocycles,” Ergodic Theory and Dynamical Systems,
vol. 35, no. 5. Cambridge University Press, pp. 1582–1591, 2015.
ista: Sadel C. 2015. A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary
and Hermitian-symplectic-cocycles. Ergodic Theory and Dynamical Systems. 35(5),
1582–1591.
mla: Sadel, Christian. “A Herman-Avila-Bochi Formula for Higher-Dimensional Pseudo-Unitary
and Hermitian-Symplectic-Cocycles.” Ergodic Theory and Dynamical Systems,
vol. 35, no. 5, Cambridge University Press, 2015, pp. 1582–91, doi:10.1017/etds.2013.103.
short: C. Sadel, Ergodic Theory and Dynamical Systems 35 (2015) 1582–1591.
date_created: 2018-12-11T11:52:24Z
date_published: 2015-03-14T00:00:00Z
date_updated: 2025-09-22T14:31:00Z
day: '14'
doi: 10.1017/etds.2013.103
extern: '1'
external_id:
isi:
- '000357605900010'
intvolume: ' 35'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1307.8414
month: '03'
oa: 1
oa_version: Preprint
page: 1582 - 1591
publication: Ergodic Theory and Dynamical Systems
publication_status: published
publisher: Cambridge University Press
publist_id: '5675'
quality_controlled: '1'
status: public
title: A Herman-Avila-Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic-cocycles
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 35
year: '2015'
...
---
_id: '1504'
abstract:
- lang: eng
text: Let Q = (Q1, . . . , Qn) be a random vector drawn from the uniform distribution
on the set of all n! permutations of {1, 2, . . . , n}. Let Z = (Z1, . . . , Zn),
where Zj is the mean zero variance one random variable obtained by centralizing
and normalizing Qj , j = 1, . . . , n. Assume that Xi , i = 1, . . . ,p are i.i.d.
copies of 1/√ p Z and X = Xp,n is the p × n random matrix with Xi as its ith row.
Then Sn = XX is called the p × n Spearman's rank correlation matrix which can
be regarded as a high dimensional extension of the classical nonparametric statistic
Spearman's rank correlation coefficient between two independent random variables.
In this paper, we establish a CLT for the linear spectral statistics of this nonparametric
random matrix model in the scenario of high dimension, namely, p = p(n) and p/n→c
∈ (0,∞) as n→∞.We propose a novel evaluation scheme to estimate the core quantity
in Anderson and Zeitouni's cumulant method in [Ann. Statist. 36 (2008) 2553-2576]
to bypass the so-called joint cumulant summability. In addition, we raise a two-step
comparison approach to obtain the explicit formulae for the mean and covariance
functions in the CLT. Relying on this CLT, we then construct a distribution-free
statistic to test complete independence for components of random vectors. Owing
to the nonparametric property, we can use this test on generally distributed random
variables including the heavy-tailed ones.
article_processing_charge: No
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: Liang
full_name: Lin, Liang
last_name: Lin
- first_name: Guangming
full_name: Pan, Guangming
last_name: Pan
- first_name: Wang
full_name: Zhou, Wang
last_name: Zhou
citation:
ama: Bao Z, Lin L, Pan G, Zhou W. Spectral statistics of large dimensional spearman
s rank correlation matrix and its application. Annals of Statistics. 2015;43(6):2588-2623.
doi:10.1214/15-AOS1353
apa: Bao, Z., Lin, L., Pan, G., & Zhou, W. (2015). Spectral statistics of large
dimensional spearman s rank correlation matrix and its application. Annals
of Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/15-AOS1353
chicago: Bao, Zhigang, Liang Lin, Guangming Pan, and Wang Zhou. “Spectral Statistics
of Large Dimensional Spearman s Rank Correlation Matrix and Its Application.”
Annals of Statistics. Institute of Mathematical Statistics, 2015. https://doi.org/10.1214/15-AOS1353.
ieee: Z. Bao, L. Lin, G. Pan, and W. Zhou, “Spectral statistics of large dimensional
spearman s rank correlation matrix and its application,” Annals of Statistics,
vol. 43, no. 6. Institute of Mathematical Statistics, pp. 2588–2623, 2015.
ista: Bao Z, Lin L, Pan G, Zhou W. 2015. Spectral statistics of large dimensional
spearman s rank correlation matrix and its application. Annals of Statistics.
43(6), 2588–2623.
mla: Bao, Zhigang, et al. “Spectral Statistics of Large Dimensional Spearman s Rank
Correlation Matrix and Its Application.” Annals of Statistics, vol. 43,
no. 6, Institute of Mathematical Statistics, 2015, pp. 2588–623, doi:10.1214/15-AOS1353.
short: Z. Bao, L. Lin, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 2588–2623.
date_created: 2018-12-11T11:52:24Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2025-09-23T10:47:55Z
day: '01'
doi: 10.1214/15-AOS1353
extern: '1'
external_id:
isi:
- '000363437900010'
intvolume: ' 43'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1312.5119
month: '12'
oa: 1
oa_version: Published Version
page: 2588 - 2623
publication: Annals of Statistics
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '5674'
quality_controlled: '1'
status: public
title: Spectral statistics of large dimensional spearman s rank correlation matrix
and its application
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 43
year: '2015'
...
---
_id: '1505'
abstract:
- lang: eng
text: This paper is aimed at deriving the universality of the largest eigenvalue
of a class of high-dimensional real or complex sample covariance matrices of the
form W N =Σ 1/2XX∗Σ 1/2 . Here, X = (xij )M,N is an M× N random matrix with independent
entries xij , 1 ≤ i M,≤ 1 ≤ j ≤ N such that Exij = 0, E|xij |2 = 1/N . On dimensionality,
we assume that M = M(N) and N/M → d ε (0, ∞) as N ∞→. For a class of general deterministic
positive-definite M × M matrices Σ , under some additional assumptions on the
distribution of xij 's, we show that the limiting behavior of the largest eigenvalue
of W N is universal, via pursuing a Green function comparison strategy raised
in [Probab. Theory Related Fields 154 (2012) 341-407, Adv. Math. 229 (2012) 1435-1515]
by Erd″os, Yau and Yin for Wigner matrices and extended by Pillai and Yin [Ann.
Appl. Probab. 24 (2014) 935-1001] to sample covariance matrices in the null case
(&Epsi = I ). Consequently, in the standard complex case (Ex2 ij = 0), combing
this universality property and the results known for Gaussian matrices obtained
by El Karoui in [Ann. Probab. 35 (2007) 663-714] (nonsingular case) and Onatski
in [Ann. Appl. Probab. 18 (2008) 470-490] (singular case), we show that after
an appropriate normalization the largest eigenvalue of W N converges weakly to
the type 2 Tracy-Widom distribution TW2 . Moreover, in the real case, we show
that whenΣ is spiked with a fixed number of subcritical spikes, the type 1 Tracy-Widom
limit TW1 holds for the normalized largest eigenvalue of W N , which extends a
result of Féral and Péché in [J. Math. Phys. 50 (2009) 073302] to the scenario
of nondiagonal Σ and more generally distributed X . In summary, we establish the
Tracy-Widom type universality for the largest eigenvalue of generally distributed
sample covariance matrices under quite light assumptions on &Sigma . Applications
of these limiting results to statistical signal detection and structure recognition
of separable covariance matrices are also discussed.
acknowledgement: "B.Z. was supported in part by NSFC Grant 11071213, ZJNSF
\ Grant R6090034 and SRFDP Grant 20100101110001. P.G. was supported in part
by the Ministry of Education, Singapore, under Grant ARC 14/11. Z.W. was supported
\ in part by the Ministry of Education, Singapore, under Grant ARC 14/11,
\ and by a Grant R-155-000-131-112 at the National University of Singapore\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: Guangming
full_name: Pan, Guangming
last_name: Pan
- first_name: Wang
full_name: Zhou, Wang
last_name: Zhou
citation:
ama: Bao Z, Pan G, Zhou W. Universality for the largest eigenvalue of sample covariance
matrices with general population. Annals of Statistics. 2015;43(1):382-421.
doi:10.1214/14-AOS1281
apa: Bao, Z., Pan, G., & Zhou, W. (2015). Universality for the largest eigenvalue
of sample covariance matrices with general population. Annals of Statistics.
Institute of Mathematical Statistics. https://doi.org/10.1214/14-AOS1281
chicago: Bao, Zhigang, Guangming Pan, and Wang Zhou. “Universality for the Largest
Eigenvalue of Sample Covariance Matrices with General Population.” Annals of
Statistics. Institute of Mathematical Statistics, 2015. https://doi.org/10.1214/14-AOS1281.
ieee: Z. Bao, G. Pan, and W. Zhou, “Universality for the largest eigenvalue of sample
covariance matrices with general population,” Annals of Statistics, vol.
43, no. 1. Institute of Mathematical Statistics, pp. 382–421, 2015.
ista: Bao Z, Pan G, Zhou W. 2015. Universality for the largest eigenvalue of sample
covariance matrices with general population. Annals of Statistics. 43(1), 382–421.
mla: Bao, Zhigang, et al. “Universality for the Largest Eigenvalue of Sample Covariance
Matrices with General Population.” Annals of Statistics, vol. 43, no. 1,
Institute of Mathematical Statistics, 2015, pp. 382–421, doi:10.1214/14-AOS1281.
short: Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
date_created: 2018-12-11T11:52:25Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-29T11:02:34Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/14-AOS1281
external_id:
arxiv:
- '1304.5690'
isi:
- '000349738500014'
intvolume: ' 43'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1304.5690
month: '02'
oa: 1
oa_version: Preprint
page: 382 - 421
publication: Annals of Statistics
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '5672'
quality_controlled: '1'
status: public
title: Universality for the largest eigenvalue of sample covariance matrices with
general population
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 43
year: '2015'
...
---
_id: '1506'
abstract:
- lang: eng
text: Consider the square random matrix An = (aij)n,n, where {aij:= a(n)ij , i,
j = 1, . . . , n} is a collection of independent real random variables with means
zero and variances one. Under the additional moment condition supn max1≤i,j ≤n
Ea4ij <∞, we prove Girko's logarithmic law of det An in the sense that as n→∞
log | detAn| ? (1/2) log(n-1)! d/→√(1/2) log n N(0, 1).
article_processing_charge: No
arxiv: 1
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: Guangming
full_name: Pan, Guangming
last_name: Pan
- first_name: Wang
full_name: Zhou, Wang
last_name: Zhou
citation:
ama: Bao Z, Pan G, Zhou W. The logarithmic law of random determinant. Bernoulli.
2015;21(3):1600-1628. doi:10.3150/14-BEJ615
apa: Bao, Z., Pan, G., & Zhou, W. (2015). The logarithmic law of random determinant.
Bernoulli. Bernoulli Society for Mathematical Statistics and Probability.
https://doi.org/10.3150/14-BEJ615
chicago: Bao, Zhigang, Guangming Pan, and Wang Zhou. “The Logarithmic Law of Random
Determinant.” Bernoulli. Bernoulli Society for Mathematical Statistics
and Probability, 2015. https://doi.org/10.3150/14-BEJ615.
ieee: Z. Bao, G. Pan, and W. Zhou, “The logarithmic law of random determinant,”
Bernoulli, vol. 21, no. 3. Bernoulli Society for Mathematical Statistics
and Probability, pp. 1600–1628, 2015.
ista: Bao Z, Pan G, Zhou W. 2015. The logarithmic law of random determinant. Bernoulli.
21(3), 1600–1628.
mla: Bao, Zhigang, et al. “The Logarithmic Law of Random Determinant.” Bernoulli,
vol. 21, no. 3, Bernoulli Society for Mathematical Statistics and Probability,
2015, pp. 1600–28, doi:10.3150/14-BEJ615.
short: Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
date_created: 2018-12-11T11:52:25Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2025-09-23T13:59:56Z
day: '01'
department:
- _id: LaEr
doi: 10.3150/14-BEJ615
external_id:
arxiv:
- '1208.5823'
isi:
- '000356993100012'
intvolume: ' 21'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1208.5823
month: '08'
oa: 1
oa_version: Preprint
page: 1600 - 1628
publication: Bernoulli
publication_status: published
publisher: Bernoulli Society for Mathematical Statistics and Probability
publist_id: '5671'
quality_controlled: '1'
status: public
title: The logarithmic law of random determinant
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 21
year: '2015'
...
---
_id: '1508'
abstract:
- lang: eng
text: We consider generalized Wigner ensembles and general β-ensembles with analytic
potentials for any β ≥ 1. The recent universality results in particular assert
that the local averages of consecutive eigenvalue gaps in the bulk of the spectrum
are universal in the sense that they coincide with those of the corresponding
Gaussian β-ensembles. In this article, we show that local averaging is not necessary
for this result, i.e. we prove that the single gap distributions in the bulk are
universal. In fact, with an additional step, our result can be extended to any
C4(ℝ) potential.
article_processing_charge: No
arxiv: 1
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng
last_name: Yau
citation:
ama: Erdös L, Yau H. Gap universality of generalized Wigner and β ensembles. Journal
of the European Mathematical Society. 2015;17(8):1927-2036. doi:10.4171/JEMS/548
apa: Erdös, L., & Yau, H. (2015). Gap universality of generalized Wigner and
β ensembles. Journal of the European Mathematical Society. European Mathematical
Society. https://doi.org/10.4171/JEMS/548
chicago: Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and
β Ensembles.” Journal of the European Mathematical Society. European Mathematical
Society, 2015. https://doi.org/10.4171/JEMS/548.
ieee: L. Erdös and H. Yau, “Gap universality of generalized Wigner and β ensembles,”
Journal of the European Mathematical Society, vol. 17, no. 8. European
Mathematical Society, pp. 1927–2036, 2015.
ista: Erdös L, Yau H. 2015. Gap universality of generalized Wigner and β ensembles.
Journal of the European Mathematical Society. 17(8), 1927–2036.
mla: Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and β
Ensembles.” Journal of the European Mathematical Society, vol. 17, no.
8, European Mathematical Society, 2015, pp. 1927–2036, doi:10.4171/JEMS/548.
short: L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015)
1927–2036.
date_created: 2018-12-11T11:52:26Z
date_published: 2015-08-01T00:00:00Z
date_updated: 2025-09-23T09:08:38Z
day: '01'
department:
- _id: LaEr
doi: 10.4171/JEMS/548
external_id:
arxiv:
- '1211.3786'
isi:
- '000360822900003'
intvolume: ' 17'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1211.3786
month: '08'
oa: 1
oa_version: Preprint
page: 1927 - 2036
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society
publist_id: '5669'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gap universality of generalized Wigner and β ensembles
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 17
year: '2015'
...
---
_id: '1509'
abstract:
- lang: eng
text: The Auxin Binding Protein1 (ABP1) has been identified based on its ability
to bind auxin with high affinity and studied for a long time as a prime candidate
for the extracellular auxin receptor responsible for mediating in particular the
fast non-transcriptional auxin responses. However, the contradiction between the
embryo-lethal phenotypes of the originally described Arabidopsis T-DNA insertional
knock-out alleles (abp1-1 and abp1-1s) and the wild type-like phenotypes of other
recently described loss-of-function alleles (abp1-c1 and abp1-TD1) questions the
biological importance of ABP1 and relevance of the previous genetic studies. Here
we show that there is no hidden copy of the ABP1 gene in the Arabidopsis genome
but the embryo-lethal phenotypes of abp1-1 and abp1-1s alleles are very similar
to the knock-out phenotypes of the neighboring gene, BELAYA SMERT (BSM). Furthermore,
the allelic complementation test between bsm and abp1 alleles shows that the embryo-lethality
in the abp1-1 and abp1-1s alleles is caused by the off-target disruption of the
BSM locus by the T-DNA insertions. This clarifies the controversy of different
phenotypes among published abp1 knock-out alleles and asks for reflections on
the developmental role of ABP1.
acknowledgement: "This work was supported by ERC Independent Research grant (ERC-2011-StG-20101109-PSDP
to JF). JM internship was supported by the grant “Action Austria – Slovakia”.\r\nData
associated with the article are available under the terms of the Creative Commons
Zero \"No rights reserved\" data waiver (CC0 1.0 Public domain dedication). \r\n\r\nData
availability: \r\nF1000Research: Dataset 1. Dataset 1, 10.5256/f1000research.7143.d104552\r\n\r\nF1000Research:
Dataset 2. Dataset 2, 10.5256/f1000research.7143.d104553\r\n\r\nF1000Research: Dataset
3. Dataset 3, 10.5256/f1000research.7143.d104554"
article_processing_charge: No
author:
- first_name: Jaroslav
full_name: Michalko, Jaroslav
id: 483727CA-F248-11E8-B48F-1D18A9856A87
last_name: Michalko
- first_name: Marta
full_name: Dravecka, Marta
id: 4342E402-F248-11E8-B48F-1D18A9856A87
last_name: Dravecka
orcid: 0000-0002-2519-8004
- first_name: Tobias
full_name: Bollenbach, Tobias
id: 3E6DB97A-F248-11E8-B48F-1D18A9856A87
last_name: Bollenbach
orcid: 0000-0003-4398-476X
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Michalko J, Lukacisinova M, Bollenbach MT, Friml J. Embryo-lethal phenotypes
in early abp1 mutants are due to disruption of the neighboring BSM gene. F1000
Research . 2015;4. doi:10.12688/f1000research.7143.1
apa: Michalko, J., Lukacisinova, M., Bollenbach, M. T., & Friml, J. (2015).
Embryo-lethal phenotypes in early abp1 mutants are due to disruption of the neighboring
BSM gene. F1000 Research . F1000 Research. https://doi.org/10.12688/f1000research.7143.1
chicago: Michalko, Jaroslav, Marta Lukacisinova, Mark Tobias Bollenbach, and Jiří
Friml. “Embryo-Lethal Phenotypes in Early Abp1 Mutants Are Due to Disruption of
the Neighboring BSM Gene.” F1000 Research . F1000 Research, 2015. https://doi.org/10.12688/f1000research.7143.1.
ieee: J. Michalko, M. Lukacisinova, M. T. Bollenbach, and J. Friml, “Embryo-lethal
phenotypes in early abp1 mutants are due to disruption of the neighboring BSM
gene,” F1000 Research , vol. 4. F1000 Research, 2015.
ista: Michalko J, Lukacisinova M, Bollenbach MT, Friml J. 2015. Embryo-lethal phenotypes
in early abp1 mutants are due to disruption of the neighboring BSM gene. F1000
Research . 4.
mla: Michalko, Jaroslav, et al. “Embryo-Lethal Phenotypes in Early Abp1 Mutants
Are Due to Disruption of the Neighboring BSM Gene.” F1000 Research , vol.
4, F1000 Research, 2015, doi:10.12688/f1000research.7143.1.
short: J. Michalko, M. Lukacisinova, M.T. Bollenbach, J. Friml, F1000 Research 4
(2015).
corr_author: '1'
date_created: 2018-12-11T11:52:26Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2025-04-15T07:48:03Z
day: '01'
ddc:
- '570'
department:
- _id: JiFr
- _id: ToBo
doi: 10.12688/f1000research.7143.1
ec_funded: 1
file:
- access_level: open_access
checksum: 8beae5cbe988e1060265ae7de2ee8306
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:12Z
date_updated: 2020-07-14T12:44:59Z
file_id: '5198'
file_name: IST-2016-497-v1+1_10.12688_f1000research.7143.1_20151102.pdf
file_size: 4414248
relation: main_file
file_date_updated: 2020-07-14T12:44:59Z
has_accepted_license: '1'
intvolume: ' 4'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 25716A02-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '282300'
name: Polarity and subcellular dynamics in plants
publication: 'F1000 Research '
publication_status: published
publisher: F1000 Research
publist_id: '5668'
pubrep_id: '497'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Embryo-lethal phenotypes in early abp1 mutants are due to disruption of the
neighboring BSM gene
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2015'
...
---
_id: '1510'
abstract:
- lang: eng
text: 'The concept of well group in a special but important case captures homological
properties of the zero set of a continuous map f from K to R^n on a compact space
K that are invariant with respect to perturbations of f. The perturbations are
arbitrary continuous maps within L_infty distance r from f for a given r >
0. The main drawback of the approach is that the computability of well groups
was shown only when dim K = n or n = 1. Our contribution to the theory of well
groups is twofold: on the one hand we improve on the computability issue, but
on the other hand we present a range of examples where the well groups are incomplete
invariants, that is, fail to capture certain important robust properties of the
zero set. For the first part, we identify a computable subgroup of the well group
that is obtained by cap product with the pullback of the orientation of R^n by
f. In other words, well groups can be algorithmically approximated from below.
When f is smooth and dim K < 2n-2, our approximation of the (dim K-n)th well
group is exact. For the second part, we find examples of maps f, f'' from K to
R^n with all well groups isomorphic but whose perturbations have different zero
sets. We discuss on a possible replacement of the well groups of vector valued
maps by an invariant of a better descriptive power and computability status. '
alternative_title:
- LIPIcs
author:
- first_name: Peter
full_name: Franek, Peter
id: 473294AE-F248-11E8-B48F-1D18A9856A87
last_name: Franek
orcid: 0000-0001-8878-8397
- first_name: Marek
full_name: Krcál, Marek
id: 33E21118-F248-11E8-B48F-1D18A9856A87
last_name: Krcál
citation:
ama: 'Franek P, Krcál M. On computability and triviality of well groups. In: Vol
34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2015:842-856. doi:10.4230/LIPIcs.SOCG.2015.842'
apa: 'Franek, P., & Krcál, M. (2015). On computability and triviality of well
groups (Vol. 34, pp. 842–856). Presented at the SoCG: Symposium on Computational
Geometry, Eindhoven, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.SOCG.2015.842'
chicago: Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well
Groups,” 34:842–56. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015. https://doi.org/10.4230/LIPIcs.SOCG.2015.842.
ieee: 'P. Franek and M. Krcál, “On computability and triviality of well groups,”
presented at the SoCG: Symposium on Computational Geometry, Eindhoven, Netherlands,
2015, vol. 34, pp. 842–856.'
ista: 'Franek P, Krcál M. 2015. On computability and triviality of well groups.
SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34, 842–856.'
mla: Franek, Peter, and Marek Krcál. On Computability and Triviality of Well
Groups. Vol. 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015,
pp. 842–56, doi:10.4230/LIPIcs.SOCG.2015.842.
short: P. Franek, M. Krcál, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2015, pp. 842–856.
conference:
end_date: 2015-06-25
location: Eindhoven, Netherlands
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2015-06-22
date_created: 2018-12-11T11:52:26Z
date_published: 2015-06-11T00:00:00Z
date_updated: 2025-09-18T14:30:52Z
day: '11'
ddc:
- '510'
department:
- _id: UlWa
- _id: HeEd
doi: 10.4230/LIPIcs.SOCG.2015.842
ec_funded: 1
file:
- access_level: open_access
checksum: 49eb5021caafaabe5356c65b9c5f8c9c
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:19Z
date_updated: 2020-07-14T12:44:59Z
file_id: '5001'
file_name: IST-2016-503-v1+1_32.pdf
file_size: 623563
relation: main_file
file_date_updated: 2020-07-14T12:44:59Z
has_accepted_license: '1'
intvolume: ' 34'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 842 - 856
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5667'
pubrep_id: '503'
quality_controlled: '1'
related_material:
record:
- id: '1408'
relation: later_version
status: public
scopus_import: 1
status: public
title: On computability and triviality of well groups
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2015'
...
---
_id: '1511'
abstract:
- lang: eng
text: 'The fact that the complete graph K_5 does not embed in the plane has been
generalized in two independent directions. On the one hand, the solution of the
classical Heawood problem for graphs on surfaces established that the complete
graph K_n embeds in a closed surface M if and only if (n-3)(n-4) is at most 6b_1(M),
where b_1(M) is the first Z_2-Betti number of M. On the other hand, Van Kampen
and Flores proved that the k-skeleton of the n-dimensional simplex (the higher-dimensional
analogue of K_{n+1}) embeds in R^{2k} if and only if n is less or equal to 2k+2.
Two decades ago, Kuhnel conjectured that the k-skeleton of the n-simplex embeds
in a compact, (k-1)-connected 2k-manifold with kth Z_2-Betti number b_k only if
the following generalized Heawood inequality holds: binom{n-k-1}{k+1} is at most
binom{2k+1}{k+1} b_k. This is a common generalization of the case of graphs on
surfaces as well as the Van Kampen--Flores theorem. In the spirit of Kuhnel''s
conjecture, we prove that if the k-skeleton of the n-simplex embeds in a 2k-manifold
with kth Z_2-Betti number b_k, then n is at most 2b_k binom{2k+2}{k} + 2k + 5.
This bound is weaker than the generalized Heawood inequality, but does not require
the assumption that M is (k-1)-connected. Our proof uses a result of Volovikov
about maps that satisfy a certain homological triviality condition.'
acknowledgement: "The work by Z. P. was partially supported by the Charles University
Grant SVV-2014-260103. The\r\nwork by Z. P. and M. T. was partially supported by
the project CE-ITI (GACR P202/12/G061) of\r\nthe Czech Science Foundation and by
the ERC Advanced Grant No. 267165. Part of the research\r\nwork of M. T. was conducted
at IST Austria, supported by an IST Fellowship. The work by U.W.\r\nwas partially
supported by the Swiss National Science Foundation (grants SNSF-200020-138230 and\r\nSNSF-PP00P2-138948)."
alternative_title:
- LIPIcs
author:
- first_name: Xavier
full_name: Goaoc, Xavier
last_name: Goaoc
- first_name: Isaac
full_name: Mabillard, Isaac
id: 32BF9DAA-F248-11E8-B48F-1D18A9856A87
last_name: Mabillard
- first_name: Pavel
full_name: Paták, Pavel
last_name: Paták
- first_name: Zuzana
full_name: Patakova, Zuzana
id: 48B57058-F248-11E8-B48F-1D18A9856A87
last_name: Patakova
orcid: 0000-0002-3975-1683
- first_name: Martin
full_name: Tancer, Martin
id: 38AC689C-F248-11E8-B48F-1D18A9856A87
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. On generalized
Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability
result. In: Vol 34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2015:476-490.
doi:10.4230/LIPIcs.SOCG.2015.476'
apa: 'Goaoc, X., Mabillard, I., Paták, P., Patakova, Z., Tancer, M., & Wagner,
U. (2015). On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type
nonembeddability result (Vol. 34, pp. 476–490). Presented at the SoCG: Symposium
on Computational Geometry, Eindhoven, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.SOCG.2015.476'
chicago: 'Goaoc, Xavier, Isaac Mabillard, Pavel Paták, Zuzana Patakova, Martin Tancer,
and Uli Wagner. “On Generalized Heawood Inequalities for Manifolds: A Van Kampen–Flores-Type
Nonembeddability Result,” 34:476–90. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2015. https://doi.org/10.4230/LIPIcs.SOCG.2015.476.'
ieee: 'X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, and U. Wagner,
“On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability
result,” presented at the SoCG: Symposium on Computational Geometry, Eindhoven,
Netherlands, 2015, vol. 34, pp. 476–490.'
ista: 'Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. 2015. On generalized
Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability
result. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34, 476–490.'
mla: 'Goaoc, Xavier, et al. On Generalized Heawood Inequalities for Manifolds:
A Van Kampen–Flores-Type Nonembeddability Result. Vol. 34, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2015, pp. 476–90, doi:10.4230/LIPIcs.SOCG.2015.476.'
short: X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015, pp. 476–490.
conference:
end_date: 2015-06-25
location: Eindhoven, Netherlands
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2015-06-22
date_created: 2018-12-11T11:52:27Z
date_published: 2015-06-11T00:00:00Z
date_updated: 2025-09-11T07:35:35Z
day: '11'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SOCG.2015.476
ec_funded: 1
file:
- access_level: open_access
checksum: 0945811875351796324189312ca29e9e
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:18Z
date_updated: 2020-07-14T12:44:59Z
file_id: '4871'
file_name: IST-2016-502-v1+1_42.pdf
file_size: 636735
relation: main_file
file_date_updated: 2020-07-14T12:44:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 476 - 490
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5666'
pubrep_id: '502'
quality_controlled: '1'
related_material:
record:
- id: '610'
relation: later_version
status: public
scopus_import: 1
status: public
title: 'On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type
nonembeddability result'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: '34 '
year: '2015'
...
---
_id: '1512'
abstract:
- lang: eng
text: 'We show that very weak topological assumptions are enough to ensure the existence
of a Helly-type theorem. More precisely, we show that for any non-negative integers
b and d there exists an integer h(b,d) such that the following holds. If F is
a finite family of subsets of R^d such that the ith reduced Betti number (with
Z_2 coefficients in singular homology) of the intersection of any proper subfamily
G of F is at most b for every non-negative integer i less or equal to (d-1)/2,
then F has Helly number at most h(b,d). These topological conditions are sharp:
not controlling any of these first Betti numbers allow for families with unbounded
Helly number. Our proofs combine homological non-embeddability results with a
Ramsey-based approach to build, given an arbitrary simplicial complex K, some
well-behaved chain map from C_*(K) to C_*(R^d). Both techniques are of independent
interest.'
acknowledgement: "PP, ZP and MT were partially supported by the Charles University
Grant GAUK 421511. ZP was\r\npartially supported by the Charles University Grant
SVV-2014-260103. ZP and MT were partially\r\nsupported by the ERC Advanced Grant
No. 267165 and by the project CE-ITI (GACR P202/12/G061)\r\nof the Czech Science
Foundation. UW was partially supported by the Swiss National Science Foundation\r\n(grants
SNSF-200020-138230 and SNSF-PP00P2-138948). Part of this work was done when XG was
affiliated with INRIA Nancy Grand-Est and when MT was affiliated with Institutionen
för matematik, Kungliga Tekniska Högskolan, then IST Austria."
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Xavier
full_name: Goaoc, Xavier
last_name: Goaoc
- first_name: Pavel
full_name: Paták, Pavel
last_name: Paták
- first_name: Zuzana
full_name: Patakova, Zuzana
last_name: Patakova
orcid: 0000-0002-3975-1683
- first_name: Martin
full_name: Tancer, Martin
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Bounding Helly numbers via
Betti numbers. In: Vol 34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2015:507-521. doi:10.4230/LIPIcs.SOCG.2015.507'
apa: 'Goaoc, X., Paták, P., Patakova, Z., Tancer, M., & Wagner, U. (2015). Bounding
Helly numbers via Betti numbers (Vol. 34, pp. 507–521). Presented at the SoCG:
Symposium on Computational Geometry, Eindhoven, Netherlands: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SOCG.2015.507'
chicago: Goaoc, Xavier, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner.
“Bounding Helly Numbers via Betti Numbers,” 34:507–21. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2015. https://doi.org/10.4230/LIPIcs.SOCG.2015.507.
ieee: 'X. Goaoc, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “Bounding Helly
numbers via Betti numbers,” presented at the SoCG: Symposium on Computational
Geometry, Eindhoven, Netherlands, 2015, vol. 34, pp. 507–521.'
ista: 'Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. 2015. Bounding Helly numbers
via Betti numbers. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34,
507–521.'
mla: Goaoc, Xavier, et al. Bounding Helly Numbers via Betti Numbers. Vol.
34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015, pp. 507–21, doi:10.4230/LIPIcs.SOCG.2015.507.
short: X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2015, pp. 507–521.
conference:
end_date: 2015-06-25
location: Eindhoven, Netherlands
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2015-06-22
date_created: 2018-12-11T11:52:27Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2025-06-04T08:47:27Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SOCG.2015.507
file:
- access_level: open_access
checksum: e6881df44d87fe0c2529c9f7b2724614
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:09Z
date_updated: 2020-07-14T12:45:00Z
file_id: '4794'
file_name: IST-2016-501-v1+1_46.pdf
file_size: 633712
relation: main_file
file_date_updated: 2020-07-14T12:45:00Z
has_accepted_license: '1'
intvolume: ' 34'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 507 - 521
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5665'
pubrep_id: '501'
quality_controlled: '1'
related_material:
record:
- id: '424'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Bounding Helly numbers via Betti numbers
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2015'
...
---
_id: '1513'
abstract:
- lang: eng
text: "Insects of the order Hemiptera (true bugs) use a wide range of mechanisms
of sex determination, including genetic sex determination, paternal genome elimination,
and haplodiploidy. Genetic sex determination, the prevalent mode, is generally
controlled by a pair of XY sex chromosomes or by an XX/X0 system, but different
configurations that include additional sex chromosomes are also present. Although
this diversity of sex determining systems has been extensively studied at the
cytogenetic level, only the X chromosome of the model pea aphid Acyrthosiphon
pisum has been analyzed at the genomic level, and little is known about X chromosome
biology in the rest of the order.\r\n\r\nIn this study, we take advantage of published
DNA- and RNA-seq data from three additional Hemiptera species to perform a comparative
analysis of the gene content and expression of the X chromosome throughout this
clade. We find that, despite showing evidence of dosage compensation, the X chromosomes
of these species show female-biased expression, and a deficit of male-biased genes,
in direct contrast to the pea aphid X. We further detect an excess of shared gene
content between these very distant species, suggesting that despite the diversity
of sex determining systems, the same chromosomal element is used as the X throughout
a large portion of the order. "
article_processing_charge: No
author:
- first_name: Arka
full_name: Pal, Arka
id: 6AAB2240-CA9A-11E9-9C1A-D9D1E5697425
last_name: Pal
orcid: 0000-0002-4530-8469
- first_name: Beatriz
full_name: Vicoso, Beatriz
id: 49E1C5C6-F248-11E8-B48F-1D18A9856A87
last_name: Vicoso
orcid: 0000-0002-4579-8306
citation:
ama: 'Pal A, Vicoso B. The X chromosome of hemipteran insects: Conservation, dosage
compensation and sex-biased expression. Genome Biology and Evolution. 2015;7(12):3259-3268.
doi:10.1093/gbe/evv215'
apa: 'Pal, A., & Vicoso, B. (2015). The X chromosome of hemipteran insects:
Conservation, dosage compensation and sex-biased expression. Genome Biology
and Evolution. Oxford University Press. https://doi.org/10.1093/gbe/evv215'
chicago: 'Pal, Arka, and Beatriz Vicoso. “The X Chromosome of Hemipteran Insects:
Conservation, Dosage Compensation and Sex-Biased Expression.” Genome Biology
and Evolution. Oxford University Press, 2015. https://doi.org/10.1093/gbe/evv215.'
ieee: 'A. Pal and B. Vicoso, “The X chromosome of hemipteran insects: Conservation,
dosage compensation and sex-biased expression,” Genome Biology and Evolution,
vol. 7, no. 12. Oxford University Press, pp. 3259–3268, 2015.'
ista: 'Pal A, Vicoso B. 2015. The X chromosome of hemipteran insects: Conservation,
dosage compensation and sex-biased expression. Genome Biology and Evolution. 7(12),
3259–3268.'
mla: 'Pal, Arka, and Beatriz Vicoso. “The X Chromosome of Hemipteran Insects: Conservation,
Dosage Compensation and Sex-Biased Expression.” Genome Biology and Evolution,
vol. 7, no. 12, Oxford University Press, 2015, pp. 3259–68, doi:10.1093/gbe/evv215.'
short: A. Pal, B. Vicoso, Genome Biology and Evolution 7 (2015) 3259–3268.
corr_author: '1'
date_created: 2018-12-11T11:52:27Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2025-09-23T14:18:15Z
day: '01'
ddc:
- '570'
department:
- _id: BeVi
doi: 10.1093/gbe/evv215
ec_funded: 1
external_id:
isi:
- '000366498700008'
file:
- access_level: open_access
checksum: 2b56b8c2e2a1d4cc3c9cb8daba26dd9b
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:29Z
date_updated: 2020-07-14T12:45:00Z
file_id: '5284'
file_name: IST-2016-496-v1+1_Genome_Biol_Evol-2015-Pal-3259-68.pdf
file_size: 858027
relation: main_file
file_date_updated: 2020-07-14T12:45:00Z
has_accepted_license: '1'
intvolume: ' 7'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 3259 - 3268
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Genome Biology and Evolution
publication_status: published
publisher: Oxford University Press
publist_id: '5664'
pubrep_id: '496'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The X chromosome of hemipteran insects: Conservation, dosage compensation
and sex-biased expression'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 7
year: '2015'
...