---
_id: '3792'
abstract:
- lang: eng
  text: The yolk syncytial layer (YSL) plays crucial roles in early zebrafish development.
    The YSL is a transient extra-embryonic syncytial tissue that forms during early
    cleavage stages and persists until larval stages. During gastrulation, the YSL
    undergoes highly dynamic movements, which are tightly coordinated with the movements
    of the overlying germ layer progenitor cells, and has critical functions in cell
    fate specification and morphogenesis of the early germ layers. Movement coordination
    between the YSL and blastoderm cells is dependent on contact between these tissues,
    and is probably required for the patterning and morphogenetic function of the
    YSL. In this review, we will discuss recent advances in elucidating the molecular
    and cellular mechanisms underlying the YSL morphogenesis and movement coordination
    between the YSL and blastoderm during early development.
acknowledgement: "We are grateful to Valerie Virta and Jennifer Regan for reading
  earlier versions of the review.\r\n"
article_processing_charge: No
author:
- first_name: Lara
  full_name: Carvalho, Lara
  last_name: Carvalho
- first_name: Carl-Philipp J
  full_name: Heisenberg, Carl-Philipp J
  id: 39427864-F248-11E8-B48F-1D18A9856A87
  last_name: Heisenberg
  orcid: 0000-0002-0912-4566
citation:
  ama: Carvalho L, Heisenberg C-PJ. The yolk syncytial layer in early, zebrafish development.
    <i>Trends in Cell Biology</i>. 2010;20(10):586-592. doi:<a href="https://doi.org/10.1016/j.tcb.2010.06.009">10.1016/j.tcb.2010.06.009</a>
  apa: Carvalho, L., &#38; Heisenberg, C.-P. J. (2010). The yolk syncytial layer in
    early, zebrafish development. <i>Trends in Cell Biology</i>. Cell Press. <a href="https://doi.org/10.1016/j.tcb.2010.06.009">https://doi.org/10.1016/j.tcb.2010.06.009</a>
  chicago: Carvalho, Lara, and Carl-Philipp J Heisenberg. “The Yolk Syncytial Layer
    in Early, Zebrafish Development.” <i>Trends in Cell Biology</i>. Cell Press, 2010.
    <a href="https://doi.org/10.1016/j.tcb.2010.06.009">https://doi.org/10.1016/j.tcb.2010.06.009</a>.
  ieee: L. Carvalho and C.-P. J. Heisenberg, “The yolk syncytial layer in early, zebrafish
    development,” <i>Trends in Cell Biology</i>, vol. 20, no. 10. Cell Press, pp.
    586–592, 2010.
  ista: Carvalho L, Heisenberg C-PJ. 2010. The yolk syncytial layer in early, zebrafish
    development. Trends in Cell Biology. 20(10), 586–592.
  mla: Carvalho, Lara, and Carl-Philipp J. Heisenberg. “The Yolk Syncytial Layer in
    Early, Zebrafish Development.” <i>Trends in Cell Biology</i>, vol. 20, no. 10,
    Cell Press, 2010, pp. 586–92, doi:<a href="https://doi.org/10.1016/j.tcb.2010.06.009">10.1016/j.tcb.2010.06.009</a>.
  short: L. Carvalho, C.-P.J. Heisenberg, Trends in Cell Biology 20 (2010) 586–592.
date_created: 2018-12-11T12:05:12Z
date_published: 2010-10-01T00:00:00Z
date_updated: 2025-09-30T09:39:30Z
day: '01'
doi: 10.1016/j.tcb.2010.06.009
external_id:
  isi:
  - '000283399800005'
intvolume: '        20'
isi: 1
issue: '10'
language:
- iso: eng
month: '10'
oa_version: None
page: 586 - 592
publication: Trends in Cell Biology
publication_status: published
publisher: Cell Press
publist_id: '2435'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The yolk syncytial layer in early, zebrafish development
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 20
year: '2010'
...
---
_id: '3793'
abstract:
- lang: eng
  text: "Recent progress in per-pixel object class labeling of natural images can
    be attributed to the use of multiple types of image features and sound statistical
    learning approaches. Within the latter, Conditional Random Fields (CRF) are prominently
    used for their ability to represent interactions between random variables. Despite
    their popularity in computer vision, parameter learning for CRFs has remained
    difficult, popular approaches being cross-validation and piecewise training.\r\nIn
    this work, we propose a simple yet expressive tree-structured CRF based on a recent
    hierarchical image segmentation method. Our model combines and weights multiple
    image features within a hierarchical representation and allows simple and efficient
    globally-optimal learning of ≈ 105 parameters. The tractability of our model allows
    us to pose and answer some of the open questions regarding parameter learning
    applying to CRF-based approaches. The key findings for learning CRF models are,
    from the obvious to the surprising, i) multiple image features always help, ii)
    the limiting dimension with respect to current models is the amount of training
    data, iii) piecewise training is competitive, iv) current methods for max-margin
    training fail for models with many parameters.\r\n"
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Nowozin, Sebastian
  last_name: Nowozin
- first_name: Peter
  full_name: Gehler, Peter
  last_name: Gehler
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Nowozin S, Gehler P, Lampert C. On parameter learning in CRF-based approaches
    to object class image segmentation. In: Vol 6316. Springer; 2010:98-111. doi:<a
    href="https://doi.org/10.1007/978-3-642-15567-3_8">10.1007/978-3-642-15567-3_8</a>'
  apa: 'Nowozin, S., Gehler, P., &#38; Lampert, C. (2010). On parameter learning in
    CRF-based approaches to object class image segmentation (Vol. 6316, pp. 98–111).
    Presented at the ECCV: European Conference on Computer Vision, Heraklion, Crete,
    Greece: Springer. <a href="https://doi.org/10.1007/978-3-642-15567-3_8">https://doi.org/10.1007/978-3-642-15567-3_8</a>'
  chicago: Nowozin, Sebastian, Peter Gehler, and Christoph Lampert. “On Parameter
    Learning in CRF-Based Approaches to Object Class Image Segmentation,” 6316:98–111.
    Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15567-3_8">https://doi.org/10.1007/978-3-642-15567-3_8</a>.
  ieee: 'S. Nowozin, P. Gehler, and C. Lampert, “On parameter learning in CRF-based
    approaches to object class image segmentation,” presented at the ECCV: European
    Conference on Computer Vision, Heraklion, Crete, Greece, 2010, vol. 6316, pp.
    98–111.'
  ista: 'Nowozin S, Gehler P, Lampert C. 2010. On parameter learning in CRF-based
    approaches to object class image segmentation. ECCV: European Conference on Computer
    Vision, LNCS, vol. 6316, 98–111.'
  mla: Nowozin, Sebastian, et al. <i>On Parameter Learning in CRF-Based Approaches
    to Object Class Image Segmentation</i>. Vol. 6316, Springer, 2010, pp. 98–111,
    doi:<a href="https://doi.org/10.1007/978-3-642-15567-3_8">10.1007/978-3-642-15567-3_8</a>.
  short: S. Nowozin, P. Gehler, C. Lampert, in:, Springer, 2010, pp. 98–111.
conference:
  end_date: 2010-09-11
  location: Heraklion, Crete, Greece
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2010-09-05
date_created: 2018-12-11T12:05:12Z
date_published: 2010-11-04T00:00:00Z
date_updated: 2021-01-12T07:52:14Z
day: '04'
ddc:
- '000'
department:
- _id: ChLa
doi: 10.1007/978-3-642-15567-3_8
file:
- access_level: open_access
  checksum: 3716e10e161f7c714fd17ec193a223c3
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-19T16:27:34Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '7871'
  file_name: 2010_ECCV_Nowozin.pdf
  file_size: 4087332
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
intvolume: '      6316'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: 98 - 111
publication_status: published
publisher: Springer
publist_id: '2431'
quality_controlled: '1'
scopus_import: 1
status: public
title: On parameter learning in CRF-based approaches to object class image segmentation
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6316
year: '2010'
...
---
OA_type: closed access
_id: '3794'
abstract:
- lang: eng
  text: 'We study the problem of multimodal dimensionality reduction assuming that
    data samples can be missing at training time, and not all data modalities may
    be present at application time. Maximum covariance analysis, as a generalization
    of PCA, has many desirable properties, but its application to practical problems
    is limited by its need for perfectly paired data. We overcome this limitation
    by a latent variable approach that allows working with weakly paired data and
    is still able to efficiently process large datasets using standard numerical routines.
    The resulting weakly paired maximum covariance analysis often finds better representations
    than alternative methods, as we show in two exemplary tasks: texture discrimination
    and transfer learning.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Oliver
  full_name: Krömer, Oliver
  last_name: Krömer
citation:
  ama: 'Lampert C, Krömer O. Weakly-paired maximum covariance analysis for multimodal
    dimensionality reduction and transfer learning. In: <i>11th European Conference
    on Computer Vision</i>. Vol 6312. Springer; 2010:566-579. doi:<a href="https://doi.org/10.1007/978-3-642-15552-9_41">10.1007/978-3-642-15552-9_41</a>'
  apa: 'Lampert, C., &#38; Krömer, O. (2010). Weakly-paired maximum covariance analysis
    for multimodal dimensionality reduction and transfer learning. In <i>11th European
    Conference on Computer Vision</i> (Vol. 6312, pp. 566–579). Heraklion, Crete,
    Greece: Springer. <a href="https://doi.org/10.1007/978-3-642-15552-9_41">https://doi.org/10.1007/978-3-642-15552-9_41</a>'
  chicago: Lampert, Christoph, and Oliver Krömer. “Weakly-Paired Maximum Covariance
    Analysis for Multimodal Dimensionality Reduction and Transfer Learning.” In <i>11th
    European Conference on Computer Vision</i>, 6312:566–79. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15552-9_41">https://doi.org/10.1007/978-3-642-15552-9_41</a>.
  ieee: C. Lampert and O. Krömer, “Weakly-paired maximum covariance analysis for multimodal
    dimensionality reduction and transfer learning,” in <i>11th European Conference
    on Computer Vision</i>, Heraklion, Crete, Greece, 2010, vol. 6312, pp. 566–579.
  ista: 'Lampert C, Krömer O. 2010. Weakly-paired maximum covariance analysis for
    multimodal dimensionality reduction and transfer learning. 11th European Conference
    on Computer Vision. ECCV: European Conference on Computer Vision, LNCS, vol. 6312,
    566–579.'
  mla: Lampert, Christoph, and Oliver Krömer. “Weakly-Paired Maximum Covariance Analysis
    for Multimodal Dimensionality Reduction and Transfer Learning.” <i>11th European
    Conference on Computer Vision</i>, vol. 6312, Springer, 2010, pp. 566–79, doi:<a
    href="https://doi.org/10.1007/978-3-642-15552-9_41">10.1007/978-3-642-15552-9_41</a>.
  short: C. Lampert, O. Krömer, in:, 11th European Conference on Computer Vision,
    Springer, 2010, pp. 566–579.
conference:
  end_date: 2010-09-11
  location: Heraklion, Crete, Greece
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2010-09-05
date_created: 2018-12-11T12:05:12Z
date_published: 2010-11-10T00:00:00Z
date_updated: 2025-05-20T06:43:33Z
day: '10'
department:
- _id: ChLa
doi: 10.1007/978-3-642-15552-9_41
intvolume: '      6312'
language:
- iso: eng
month: '11'
oa_version: None
page: 566 - 579
publication: 11th European Conference on Computer Vision
publication_identifier:
  eisbn:
  - '9783642155529'
  eissn:
  - 1611-3349
publication_status: published
publisher: Springer
publist_id: '2433'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Weakly-paired maximum covariance analysis for multimodal dimensionality reduction
  and transfer learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6312
year: '2010'
...
---
_id: '3795'
abstract:
- lang: eng
  text: 'The (apparent) contour of a smooth mapping from a 2-manifold to the plane,
    f: M → R2 , is the set of critical values, that is, the image of the points at
    which the gradients of the two component functions are linearly dependent. Assuming
    M is compact and orientable and measuring difference with the erosion distance,
    we prove that the contour is stable.'
acknowledgement: This research is partially supported by the Defense Advanced Research
  Projects Agency (DARPA) under grants HR0011-05-1-0007 and HR0011-05-1-0057.
alternative_title:
- Mathematics and Visualization
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Dmitriy
  full_name: Morozov, Dmitriy
  last_name: Morozov
- first_name: Amit
  full_name: Patel, Amit
  id: 34A254A0-F248-11E8-B48F-1D18A9856A87
  last_name: Patel
citation:
  ama: 'Edelsbrunner H, Morozov D, Patel A. The stability of the apparent contour
    of an orientable 2-manifold. In: <i>Topological Data Analysis and Visualization:
    Theory, Algorithms and Applications</i>. Springer; 2010:27-42. doi:<a href="https://doi.org/10.1007/978-3-642-15014-2_3">10.1007/978-3-642-15014-2_3</a>'
  apa: 'Edelsbrunner, H., Morozov, D., &#38; Patel, A. (2010). The stability of the
    apparent contour of an orientable 2-manifold. In <i>Topological Data Analysis
    and Visualization: Theory, Algorithms and Applications</i> (pp. 27–42). Springer.
    <a href="https://doi.org/10.1007/978-3-642-15014-2_3">https://doi.org/10.1007/978-3-642-15014-2_3</a>'
  chicago: 'Edelsbrunner, Herbert, Dmitriy Morozov, and Amit Patel. “The Stability
    of the Apparent Contour of an Orientable 2-Manifold.” In <i>Topological Data Analysis
    and Visualization: Theory, Algorithms and Applications</i>, 27–42. Springer, 2010.
    <a href="https://doi.org/10.1007/978-3-642-15014-2_3">https://doi.org/10.1007/978-3-642-15014-2_3</a>.'
  ieee: 'H. Edelsbrunner, D. Morozov, and A. Patel, “The stability of the apparent
    contour of an orientable 2-manifold,” in <i>Topological Data Analysis and Visualization:
    Theory, Algorithms and Applications</i>, Springer, 2010, pp. 27–42.'
  ista: 'Edelsbrunner H, Morozov D, Patel A. 2010.The stability of the apparent contour
    of an orientable 2-manifold. In: Topological Data Analysis and Visualization:
    Theory, Algorithms and Applications. Mathematics and Visualization, , 27–42.'
  mla: 'Edelsbrunner, Herbert, et al. “The Stability of the Apparent Contour of an
    Orientable 2-Manifold.” <i>Topological Data Analysis and Visualization: Theory,
    Algorithms and Applications</i>, Springer, 2010, pp. 27–42, doi:<a href="https://doi.org/10.1007/978-3-642-15014-2_3">10.1007/978-3-642-15014-2_3</a>.'
  short: 'H. Edelsbrunner, D. Morozov, A. Patel, in:, Topological Data Analysis and
    Visualization: Theory, Algorithms and Applications, Springer, 2010, pp. 27–42.'
corr_author: '1'
date_created: 2018-12-11T12:05:13Z
date_published: 2010-12-22T00:00:00Z
date_updated: 2024-10-09T20:54:11Z
day: '22'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/978-3-642-15014-2_3
file:
- access_level: open_access
  checksum: f03a44c3d1c3e2d4fedb3b94404f3fd5
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:40Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '4896'
  file_name: IST-2016-538-v1+1_2011-B-02-ApparentContour.pdf
  file_size: 210710
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
page: 27 - 42
publication: 'Topological Data Analysis and Visualization: Theory, Algorithms and
  Applications'
publication_status: published
publisher: Springer
publist_id: '2428'
pubrep_id: '538'
quality_controlled: '1'
scopus_import: 1
status: public
title: The stability of the apparent contour of an orientable 2-manifold
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '3829'
abstract:
- lang: eng
  text: To determine the number of open Ca(2+) channels necessary for transmitter
    release at the inhibitory basket cell-granule cell synapse in rat hippocampus,
    we combined presynaptic Ca(2+) imaging, recording of postsynaptic currents and
    modeling. We found that that the opening of three or fewer Ca(2+) channels triggered
    transmitter release. Furthermore, a small number of Ca(2+) channels were able
    to evoke release with high temporal precision, despite stochastic Ca(2+) channel
    opening.
author:
- first_name: Iancu
  full_name: Bucurenciu, Iancu
  last_name: Bucurenciu
- first_name: Josef
  full_name: Bischofberger, Josef
  last_name: Bischofberger
- first_name: Peter M
  full_name: Peter Jonas
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: Bucurenciu I, Bischofberger J, Jonas PM. A small number of open Ca(2+) channels
    trigger transmitter release at a central GABAergic synapse. <i>Nature Neuroscience</i>.
    2010;13(1):19-21. doi:<a href="https://doi.org/10.1038/nn.2461 ">10.1038/nn.2461
    </a>
  apa: Bucurenciu, I., Bischofberger, J., &#38; Jonas, P. M. (2010). A small number
    of open Ca(2+) channels trigger transmitter release at a central GABAergic synapse.
    <i>Nature Neuroscience</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/nn.2461
    ">https://doi.org/10.1038/nn.2461 </a>
  chicago: Bucurenciu, Iancu, Josef Bischofberger, and Peter M Jonas. “A Small Number
    of Open Ca(2+) Channels Trigger Transmitter Release at a Central GABAergic Synapse.”
    <i>Nature Neuroscience</i>. Nature Publishing Group, 2010. <a href="https://doi.org/10.1038/nn.2461
    ">https://doi.org/10.1038/nn.2461 </a>.
  ieee: I. Bucurenciu, J. Bischofberger, and P. M. Jonas, “A small number of open
    Ca(2+) channels trigger transmitter release at a central GABAergic synapse,” <i>Nature
    Neuroscience</i>, vol. 13, no. 1. Nature Publishing Group, pp. 19–21, 2010.
  ista: Bucurenciu I, Bischofberger J, Jonas PM. 2010. A small number of open Ca(2+)
    channels trigger transmitter release at a central GABAergic synapse. Nature Neuroscience.
    13(1), 19–21.
  mla: Bucurenciu, Iancu, et al. “A Small Number of Open Ca(2+) Channels Trigger Transmitter
    Release at a Central GABAergic Synapse.” <i>Nature Neuroscience</i>, vol. 13,
    no. 1, Nature Publishing Group, 2010, pp. 19–21, doi:<a href="https://doi.org/10.1038/nn.2461
    ">10.1038/nn.2461 </a>.
  short: I. Bucurenciu, J. Bischofberger, P.M. Jonas, Nature Neuroscience 13 (2010)
    19–21.
date_created: 2018-12-11T12:05:24Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T07:52:29Z
day: '01'
doi: '10.1038/nn.2461 '
extern: 1
intvolume: '        13'
issue: '1'
month: '01'
page: 19 - 21
publication: Nature Neuroscience
publication_status: published
publisher: Nature Publishing Group
publist_id: '2380'
quality_controlled: 0
status: public
title: A small number of open Ca(2+) channels trigger transmitter release at a central
  GABAergic synapse
type: journal_article
volume: 13
year: '2010'
...
---
_id: '3830'
abstract:
- lang: eng
  text: Fast-spiking, parvalbumin-expressing basket cells (BCs) are important for
    feedforward and feedback inhibition. During network activity, BCs respond with
    short latency and high temporal precision. It is thought that the specific properties
    of input synapses are responsible for rapid recruitment. However, a potential
    contribution of active dendritic conductances has not been addressed. We combined
    confocal imaging and patch-clamp techniques to obtain simultaneous somatodendritic
    recordings from BCs. Action potentials were initiated in the BC axon and backpropagated
    into the dendrites with reduced amplitude and little activity dependence. These
    properties were explained by a high K+ to Na+ conductance ratio in BC dendrites.
    Computational analysis indicated that dendritic K+ channels convey unique integration
    properties to BCs, leading to the rapid and temporally precise activation by excitatory
    inputs.
author:
- first_name: Hua
  full_name: Hua Hu
  id: 4AC0145C-F248-11E8-B48F-1D18A9856A87
  last_name: Hu
- first_name: Marco
  full_name: Martina, Marco
  last_name: Martina
- first_name: Peter M
  full_name: Peter Jonas
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: Hu H, Martina M, Jonas PM. Dendritic mechanisms underlying rapid synaptic activation
    of fast-spiking hippocampal interneurons. <i>Science</i>. 2010;327(5961):52-58.
    doi:<a href="https://doi.org/10.1126/science.1177876">10.1126/science.1177876</a>
  apa: Hu, H., Martina, M., &#38; Jonas, P. M. (2010). Dendritic mechanisms underlying
    rapid synaptic activation of fast-spiking hippocampal interneurons. <i>Science</i>.
    American Association for the Advancement of Science. <a href="https://doi.org/10.1126/science.1177876">https://doi.org/10.1126/science.1177876</a>
  chicago: Hu, Hua, Marco Martina, and Peter M Jonas. “Dendritic Mechanisms Underlying
    Rapid Synaptic Activation of Fast-Spiking Hippocampal Interneurons.” <i>Science</i>.
    American Association for the Advancement of Science, 2010. <a href="https://doi.org/10.1126/science.1177876">https://doi.org/10.1126/science.1177876</a>.
  ieee: H. Hu, M. Martina, and P. M. Jonas, “Dendritic mechanisms underlying rapid
    synaptic activation of fast-spiking hippocampal interneurons,” <i>Science</i>,
    vol. 327, no. 5961. American Association for the Advancement of Science, pp. 52–8,
    2010.
  ista: Hu H, Martina M, Jonas PM. 2010. Dendritic mechanisms underlying rapid synaptic
    activation of fast-spiking hippocampal interneurons. Science. 327(5961), 52–8.
  mla: Hu, Hua, et al. “Dendritic Mechanisms Underlying Rapid Synaptic Activation
    of Fast-Spiking Hippocampal Interneurons.” <i>Science</i>, vol. 327, no. 5961,
    American Association for the Advancement of Science, 2010, pp. 52–58, doi:<a href="https://doi.org/10.1126/science.1177876">10.1126/science.1177876</a>.
  short: H. Hu, M. Martina, P.M. Jonas, Science 327 (2010) 52–8.
date_created: 2018-12-11T12:05:24Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T07:52:30Z
day: '01'
doi: 10.1126/science.1177876
extern: 1
intvolume: '       327'
issue: '5961'
month: '01'
page: 52 - 8
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '2381'
quality_controlled: 0
status: public
title: Dendritic mechanisms underlying rapid synaptic activation of fast-spiking hippocampal
  interneurons
type: journal_article
volume: 327
year: '2010'
...
---
_id: '3831'
abstract:
- lang: eng
  text: Fast-spiking, parvalbumin-expressing basket cells (BCs) play a key role in
    feedforward and feedback inhibition in the hippocampus. However, the dendritic
    mechanisms underlying rapid interneuron recruitment have remained unclear. To
    quantitatively address this question, we developed detailed passive cable models
    of BCs in the dentate gyrus based on dual somatic or somatodendritic recordings
    and complete morphologic reconstructions. Both specific membrane capacitance and
    axial resistivity were comparable to those of pyramidal neurons, but the average
    somatodendritic specific membrane resistance (R(m)) was substantially lower in
    BCs. Furthermore, R(m) was markedly nonuniform, being lowest in soma and proximal
    dendrites, intermediate in distal dendrites, and highest in the axon. Thus, the
    somatodendritic gradient of R(m) was the reverse of that in pyramidal neurons.
    Further computational analysis revealed that these unique cable properties accelerate
    the time course of synaptic potentials at the soma in response to fast inputs,
    while boosting the efficacy of slow distal inputs. These properties will facilitate
    both rapid phasic and efficient tonic activation of BCs in hippocampal microcircuits.
author:
- first_name: Anja
  full_name: Norenberg, Anja
  last_name: Norenberg
- first_name: Hua
  full_name: Hua Hu
  id: 4AC0145C-F248-11E8-B48F-1D18A9856A87
  last_name: Hu
- first_name: Imre
  full_name: Vida, Imre
  last_name: Vida
- first_name: Marlene
  full_name: Bartos, Marlene
  last_name: Bartos
- first_name: Peter M
  full_name: Peter Jonas
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: Norenberg A, Hu H, Vida I, Bartos M, Jonas PM. Distinct nonuniform cable properties
    optimize rapid and efficient activation of fast-spiking GABAergic interneurons.
    <i>PNAS</i>. 2010;107(2):894-899. doi:<a href="https://doi.org/10.1073/pnas.0910716107">10.1073/pnas.0910716107</a>
  apa: Norenberg, A., Hu, H., Vida, I., Bartos, M., &#38; Jonas, P. M. (2010). Distinct
    nonuniform cable properties optimize rapid and efficient activation of fast-spiking
    GABAergic interneurons. <i>PNAS</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.0910716107">https://doi.org/10.1073/pnas.0910716107</a>
  chicago: Norenberg, Anja, Hua Hu, Imre Vida, Marlene Bartos, and Peter M Jonas.
    “Distinct Nonuniform Cable Properties Optimize Rapid and Efficient Activation
    of Fast-Spiking GABAergic Interneurons.” <i>PNAS</i>. National Academy of Sciences,
    2010. <a href="https://doi.org/10.1073/pnas.0910716107">https://doi.org/10.1073/pnas.0910716107</a>.
  ieee: A. Norenberg, H. Hu, I. Vida, M. Bartos, and P. M. Jonas, “Distinct nonuniform
    cable properties optimize rapid and efficient activation of fast-spiking GABAergic
    interneurons,” <i>PNAS</i>, vol. 107, no. 2. National Academy of Sciences, pp.
    894–9, 2010.
  ista: Norenberg A, Hu H, Vida I, Bartos M, Jonas PM. 2010. Distinct nonuniform cable
    properties optimize rapid and efficient activation of fast-spiking GABAergic interneurons.
    PNAS. 107(2), 894–9.
  mla: Norenberg, Anja, et al. “Distinct Nonuniform Cable Properties Optimize Rapid
    and Efficient Activation of Fast-Spiking GABAergic Interneurons.” <i>PNAS</i>,
    vol. 107, no. 2, National Academy of Sciences, 2010, pp. 894–99, doi:<a href="https://doi.org/10.1073/pnas.0910716107">10.1073/pnas.0910716107</a>.
  short: A. Norenberg, H. Hu, I. Vida, M. Bartos, P.M. Jonas, PNAS 107 (2010) 894–9.
date_created: 2018-12-11T12:05:24Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T07:52:31Z
day: '01'
doi: 10.1073/pnas.0910716107
extern: 1
intvolume: '       107'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2818894/#!po=4.16667
month: '01'
oa: 1
page: 894 - 9
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '2379'
quality_controlled: 0
status: public
title: Distinct nonuniform cable properties optimize rapid and efficient activation
  of fast-spiking GABAergic interneurons
type: journal_article
volume: 107
year: '2010'
...
---
_id: '3832'
abstract:
- lang: eng
  text: A recent paper by von Engelhardt et al. identifies a novel auxiliary subunit
    of native AMPARs, termedCKAMP44. Unlike other auxiliary subunits, CKAMP44 accelerates
    desensitization and prolongs recovery from desensitization. CKAMP44 is highly
    expressed in hippocampal dentate gyrus granule cells and decreases the paired-pulse
    ratio at perforant path input synapses. Thus, both principal and auxiliary AMPAR
    subunits control the time course of signaling at glutamatergic synapses.
article_processing_charge: No
author:
- first_name: José
  full_name: Guzmán, José
  id: 30CC5506-F248-11E8-B48F-1D18A9856A87
  last_name: Guzmán
  orcid: 0000-0003-2209-5242
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
citation:
  ama: 'Guzmán J, Jonas PM. Beyond TARPs: The growing list of auxiliary AMPAR subunits.
    <i>Neuron</i>. 2010;66(1):8-10. doi:<a href="https://doi.org/10.1016/j.neuron.2010.04.003">10.1016/j.neuron.2010.04.003</a>'
  apa: 'Guzmán, J., &#38; Jonas, P. M. (2010). Beyond TARPs: The growing list of auxiliary
    AMPAR subunits. <i>Neuron</i>. Elsevier. <a href="https://doi.org/10.1016/j.neuron.2010.04.003">https://doi.org/10.1016/j.neuron.2010.04.003</a>'
  chicago: 'Guzmán, José, and Peter M Jonas. “Beyond TARPs: The Growing List of Auxiliary
    AMPAR Subunits.” <i>Neuron</i>. Elsevier, 2010. <a href="https://doi.org/10.1016/j.neuron.2010.04.003">https://doi.org/10.1016/j.neuron.2010.04.003</a>.'
  ieee: 'J. Guzmán and P. M. Jonas, “Beyond TARPs: The growing list of auxiliary AMPAR
    subunits,” <i>Neuron</i>, vol. 66, no. 1. Elsevier, pp. 8–10, 2010.'
  ista: 'Guzmán J, Jonas PM. 2010. Beyond TARPs: The growing list of auxiliary AMPAR
    subunits. Neuron. 66(1), 8–10.'
  mla: 'Guzmán, José, and Peter M. Jonas. “Beyond TARPs: The Growing List of Auxiliary
    AMPAR Subunits.” <i>Neuron</i>, vol. 66, no. 1, Elsevier, 2010, pp. 8–10, doi:<a
    href="https://doi.org/10.1016/j.neuron.2010.04.003">10.1016/j.neuron.2010.04.003</a>.'
  short: J. Guzmán, P.M. Jonas, Neuron 66 (2010) 8–10.
corr_author: '1'
date_created: 2018-12-11T12:05:25Z
date_published: 2010-04-15T00:00:00Z
date_updated: 2026-06-18T18:47:22Z
day: '15'
ddc:
- '570'
department:
- _id: PeJo
doi: 10.1016/j.neuron.2010.04.003
external_id:
  isi:
  - '000277016200004'
  pmid:
  - '20399724'
intvolume: '        66'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pubmed/20399724
month: '04'
oa: 1
oa_version: Published Version
page: 8 - 10
pmid: 1
publication: Neuron
publication_status: published
publisher: Elsevier
publist_id: '2377'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Beyond TARPs: The growing list of auxiliary AMPAR subunits'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 66
year: '2010'
...
---
_id: '3833'
article_processing_charge: No
author:
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
- first_name: Stefan
  full_name: Hefft, Stefan
  last_name: Hefft
citation:
  ama: 'Jonas PM, Hefft S. GABA release at terminals of CCK-interneurons: Synchrony,
    asynchrony and modulation by cannabinoid receptors (commentary on Ali &#38;amp;
    Todorova). <i>The European Journal of Neuroscience</i>. 2010;31(7):1194-1195.
    doi:<a href="https://doi.org/10.1111/j.1460-9568.2010.07189.x">10.1111/j.1460-9568.2010.07189.x</a>'
  apa: 'Jonas, P. M., &#38; Hefft, S. (2010). GABA release at terminals of CCK-interneurons:
    Synchrony, asynchrony and modulation by cannabinoid receptors (commentary on Ali
    &#38;amp; Todorova). <i>The European Journal of Neuroscience</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1111/j.1460-9568.2010.07189.x">https://doi.org/10.1111/j.1460-9568.2010.07189.x</a>'
  chicago: 'Jonas, Peter M, and Stefan Hefft. “GABA Release at Terminals of CCK-Interneurons:
    Synchrony, Asynchrony and Modulation by Cannabinoid Receptors (Commentary on Ali
    &#38;amp; Todorova).” <i>The European Journal of Neuroscience</i>. Wiley-Blackwell,
    2010. <a href="https://doi.org/10.1111/j.1460-9568.2010.07189.x">https://doi.org/10.1111/j.1460-9568.2010.07189.x</a>.'
  ieee: 'P. M. Jonas and S. Hefft, “GABA release at terminals of CCK-interneurons:
    Synchrony, asynchrony and modulation by cannabinoid receptors (commentary on Ali
    &#38;amp; Todorova),” <i>The European Journal of Neuroscience</i>, vol. 31, no.
    7. Wiley-Blackwell, pp. 1194–1195, 2010.'
  ista: 'Jonas PM, Hefft S. 2010. GABA release at terminals of CCK-interneurons: Synchrony,
    asynchrony and modulation by cannabinoid receptors (commentary on Ali &#38;amp;
    Todorova). The European Journal of Neuroscience. 31(7), 1194–1195.'
  mla: 'Jonas, Peter M., and Stefan Hefft. “GABA Release at Terminals of CCK-Interneurons:
    Synchrony, Asynchrony and Modulation by Cannabinoid Receptors (Commentary on Ali
    &#38;amp; Todorova).” <i>The European Journal of Neuroscience</i>, vol. 31, no.
    7, Wiley-Blackwell, 2010, pp. 1194–95, doi:<a href="https://doi.org/10.1111/j.1460-9568.2010.07189.x">10.1111/j.1460-9568.2010.07189.x</a>.'
  short: P.M. Jonas, S. Hefft, The European Journal of Neuroscience 31 (2010) 1194–1195.
corr_author: '1'
date_created: 2018-12-11T12:05:25Z
date_published: 2010-03-19T00:00:00Z
date_updated: 2025-09-30T09:38:44Z
day: '19'
department:
- _id: PeJo
doi: 10.1111/j.1460-9568.2010.07189.x
external_id:
  isi:
  - '000276245400005'
intvolume: '        31'
isi: 1
issue: '7'
language:
- iso: eng
month: '03'
oa_version: None
page: 1194 - 1195
publication: The European Journal of Neuroscience
publication_status: published
publisher: Wiley-Blackwell
publist_id: '2378'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'GABA release at terminals of CCK-interneurons: Synchrony, asynchrony and modulation
  by cannabinoid receptors (commentary on Ali &amp; Todorova)'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 31
year: '2010'
...
---
_id: '3834'
abstract:
- lang: eng
  text: "Background\r\n\r\nThe chemical master equation (CME) is a system of ordinary
    differential equations that describes the evolution of a network of chemical reactions
    as a stochastic process. Its solution yields the probability density vector of
    the system at each point in time. Solving the CME numerically is in many cases
    computationally expensive or even infeasible as the number of reachable states
    can be very large or infinite. We introduce the sliding window method, which computes
    an approximate solution of the CME by performing a sequence of local analysis
    steps. In each step, only a manageable subset of states is considered, representing
    a &quot;window&quot; into the state space. In subsequent steps, the window follows
    the direction in which the probability mass moves, until the time period of interest
    has elapsed. We construct the window based on a deterministic approximation of
    the future behavior of the system by estimating upper and lower bounds on the
    populations of the chemical species.\r\nResults\r\n\r\nIn order to show the effectiveness
    of our approach, we apply it to several examples previously described in the literature.
    The experimental results show that the proposed method speeds up the analysis
    considerably, compared to a global analysis, while still providing high accuracy.\r\n\r\n\r\nConclusions\r\n\r\nThe
    sliding window method is a novel approach to address the performance problems
    of numerical algorithms for the solution of the chemical master equation. The
    method efficiently approximates the probability distributions at the time points
    of interest for a variety of chemically reacting systems, including systems for
    which no upper bound on the population sizes of the chemical species is known
    a priori."
acknowledgement: This research has been partially funded by the Swiss National Science
  Foundation under grant 205321-111840 and by the Cluster of Excellence on Multimodal
  Computing and Interaction at Saarland University.
article_processing_charge: No
author:
- first_name: Verena
  full_name: Wolf, Verena
  last_name: Wolf
- first_name: Rushil
  full_name: Goel, Rushil
  last_name: Goel
- first_name: Maria
  full_name: Mateescu, Maria
  id: 3B43276C-F248-11E8-B48F-1D18A9856A87
  last_name: Mateescu
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: Wolf V, Goel R, Mateescu M, Henzinger TA. Solving the chemical master equation
    using sliding windows. <i>BMC Systems Biology</i>. 2010;4(42):1-19. doi:<a href="https://doi.org/10.1186/1752-0509-4-42">10.1186/1752-0509-4-42</a>
  apa: Wolf, V., Goel, R., Mateescu, M., &#38; Henzinger, T. A. (2010). Solving the
    chemical master equation using sliding windows. <i>BMC Systems Biology</i>. BioMed
    Central. <a href="https://doi.org/10.1186/1752-0509-4-42">https://doi.org/10.1186/1752-0509-4-42</a>
  chicago: Wolf, Verena, Rushil Goel, Maria Mateescu, and Thomas A Henzinger. “Solving
    the Chemical Master Equation Using Sliding Windows.” <i>BMC Systems Biology</i>.
    BioMed Central, 2010. <a href="https://doi.org/10.1186/1752-0509-4-42">https://doi.org/10.1186/1752-0509-4-42</a>.
  ieee: V. Wolf, R. Goel, M. Mateescu, and T. A. Henzinger, “Solving the chemical
    master equation using sliding windows,” <i>BMC Systems Biology</i>, vol. 4, no.
    42. BioMed Central, pp. 1–19, 2010.
  ista: Wolf V, Goel R, Mateescu M, Henzinger TA. 2010. Solving the chemical master
    equation using sliding windows. BMC Systems Biology. 4(42), 1–19.
  mla: Wolf, Verena, et al. “Solving the Chemical Master Equation Using Sliding Windows.”
    <i>BMC Systems Biology</i>, vol. 4, no. 42, BioMed Central, 2010, pp. 1–19, doi:<a
    href="https://doi.org/10.1186/1752-0509-4-42">10.1186/1752-0509-4-42</a>.
  short: V. Wolf, R. Goel, M. Mateescu, T.A. Henzinger, BMC Systems Biology 4 (2010)
    1–19.
corr_author: '1'
date_created: 2018-12-11T12:05:25Z
date_published: 2010-04-08T00:00:00Z
date_updated: 2025-09-30T09:37:27Z
day: '08'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.1186/1752-0509-4-42
external_id:
  isi:
  - '000277612700001'
file:
- access_level: open_access
  checksum: 220239fae76f7b03c4d7f05d74ef426f
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:29Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '5217'
  file_name: IST-2012-72-v1+1_Solving_the_chemical_master_equation_using_sliding_windows.pdf
  file_size: 1919130
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
intvolume: '         4'
isi: 1
issue: '42'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '04'
oa: 1
oa_version: Published Version
page: 1 - 19
publication: BMC Systems Biology
publication_status: published
publisher: BioMed Central
publist_id: '2374'
pubrep_id: '72'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Solving the chemical master equation using sliding windows
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: 4
year: '2010'
...
---
_id: '3838'
abstract:
- lang: eng
  text: We present a numerical approximation technique for the analysis of continuous-time
    Markov chains that describe net- works of biochemical reactions and play an important
    role in the stochastic modeling of biological systems. Our approach is based on
    the construction of a stochastic hybrid model in which certain discrete random
    variables of the original Markov chain are approximated by continuous deterministic
    variables. We compute the solution of the stochastic hybrid model using a numerical
    algorithm that discretizes time and in each step performs a mutual update of the
    transient prob- ability distribution of the discrete stochastic variables and
    the values of the continuous deterministic variables. We im- plemented the algorithm
    and we demonstrate its usefulness and efficiency on several case studies from
    systems biology.
author:
- 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: Maria
  full_name: Mateescu, Maria
  last_name: Mateescu
- first_name: Linar
  full_name: Mikeev, Linar
  last_name: Mikeev
- first_name: Verena
  full_name: Wolf, Verena
  last_name: Wolf
citation:
  ama: 'Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the
    chemical master equation. In: Springer; 2010:55-65. doi:<a href="https://doi.org/10.1145/1839764.1839772">10.1145/1839764.1839772</a>'
  apa: 'Henzinger, T. A., Mateescu, M., Mikeev, L., &#38; Wolf, V. (2010). Hybrid
    numerical solution of the chemical master equation (pp. 55–65). Presented at the
    CMSB: Computational Methods in Systems Biology, Trento, Italy: Springer. <a href="https://doi.org/10.1145/1839764.1839772">https://doi.org/10.1145/1839764.1839772</a>'
  chicago: Henzinger, Thomas A, Maria Mateescu, Linar Mikeev, and Verena Wolf. “Hybrid
    Numerical Solution of the Chemical Master Equation,” 55–65. Springer, 2010. <a
    href="https://doi.org/10.1145/1839764.1839772">https://doi.org/10.1145/1839764.1839772</a>.
  ieee: 'T. A. Henzinger, M. Mateescu, L. Mikeev, and V. Wolf, “Hybrid numerical solution
    of the chemical master equation,” presented at the CMSB: Computational Methods
    in Systems Biology, Trento, Italy, 2010, pp. 55–65.'
  ista: 'Henzinger TA, Mateescu M, Mikeev L, Wolf V. 2010. Hybrid numerical solution
    of the chemical master equation. CMSB: Computational Methods in Systems Biology,
    55–65.'
  mla: Henzinger, Thomas A., et al. <i>Hybrid Numerical Solution of the Chemical Master
    Equation</i>. Springer, 2010, pp. 55–65, doi:<a href="https://doi.org/10.1145/1839764.1839772">10.1145/1839764.1839772</a>.
  short: T.A. Henzinger, M. Mateescu, L. Mikeev, V. Wolf, in:, Springer, 2010, pp.
    55–65.
conference:
  end_date: 2010-10-01
  location: Trento, Italy
  name: 'CMSB: Computational Methods in Systems Biology'
  start_date: 2010-09-29
date_created: 2018-12-11T12:05:27Z
date_published: 2010-09-29T00:00:00Z
date_updated: 2021-01-12T07:52:33Z
day: '29'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.1145/1839764.1839772
file:
- access_level: open_access
  checksum: 81cb6f0babd97151b171d1ce86582831
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:55Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '5179'
  file_name: IST-2012-68-v1+1_Hybrid_Numerical_Solution_of_the_Chemical_Master_Equation.pdf
  file_size: 671790
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 55 - 65
publication_status: published
publisher: Springer
publist_id: '2356'
pubrep_id: '68'
quality_controlled: '1'
scopus_import: 1
status: public
title: Hybrid numerical solution of the chemical master equation
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '3839'
abstract:
- lang: eng
  text: We present a loop property generation method for loops iterating over multi-dimensional
    arrays. When used on matrices, our method is able to infer their shapes (also
    called types), such as upper-triangular, diagonal, etc. To gen- erate loop properties,
    we first transform a nested loop iterating over a multi- dimensional array into
    an equivalent collection of unnested loops. Then, we in- fer quantified loop invariants
    for each unnested loop using a generalization of a recurrence-based invariant
    generation technique. These loop invariants give us conditions on matrices from
    which we can derive matrix types automatically us- ing theorem provers. Invariant
    generation is implemented in the software package Aligator and types are derived
    by theorem provers and SMT solvers, including Vampire and Z3. When run on the
    Java matrix package JAMA, our tool was able to infer automatically all matrix
    types describing the matrix shapes guaranteed by JAMA’s API.
acknowledgement: The research was supported by the Swiss NSF.
alternative_title:
- LNCS
author:
- 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: Thibaud
  full_name: Hottelier, Thibaud
  last_name: Hottelier
- first_name: Laura
  full_name: Kovács, Laura
  last_name: Kovács
- first_name: Andrei
  full_name: Voronkov, Andrei
  last_name: Voronkov
citation:
  ama: 'Henzinger TA, Hottelier T, Kovács L, Voronkov A. Invariant and type inference
    for matrices. In: Vol 5944. Springer; 2010:163-179. doi:<a href="https://doi.org/10.1007/978-3-642-11319-2_14">10.1007/978-3-642-11319-2_14</a>'
  apa: 'Henzinger, T. A., Hottelier, T., Kovács, L., &#38; Voronkov, A. (2010). Invariant
    and type inference for matrices (Vol. 5944, pp. 163–179). Presented at the VMCAI:
    Verification, Model Checking and Abstract Interpretation, Madrid, Spain: Springer.
    <a href="https://doi.org/10.1007/978-3-642-11319-2_14">https://doi.org/10.1007/978-3-642-11319-2_14</a>'
  chicago: Henzinger, Thomas A, Thibaud Hottelier, Laura Kovács, and Andrei Voronkov.
    “Invariant and Type Inference for Matrices,” 5944:163–79. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-11319-2_14">https://doi.org/10.1007/978-3-642-11319-2_14</a>.
  ieee: 'T. A. Henzinger, T. Hottelier, L. Kovács, and A. Voronkov, “Invariant and
    type inference for matrices,” presented at the VMCAI: Verification, Model Checking
    and Abstract Interpretation, Madrid, Spain, 2010, vol. 5944, pp. 163–179.'
  ista: 'Henzinger TA, Hottelier T, Kovács L, Voronkov A. 2010. Invariant and type
    inference for matrices. VMCAI: Verification, Model Checking and Abstract Interpretation,
    LNCS, vol. 5944, 163–179.'
  mla: Henzinger, Thomas A., et al. <i>Invariant and Type Inference for Matrices</i>.
    Vol. 5944, Springer, 2010, pp. 163–79, doi:<a href="https://doi.org/10.1007/978-3-642-11319-2_14">10.1007/978-3-642-11319-2_14</a>.
  short: T.A. Henzinger, T. Hottelier, L. Kovács, A. Voronkov, in:, Springer, 2010,
    pp. 163–179.
conference:
  end_date: 2010-01-19
  location: Madrid, Spain
  name: 'VMCAI: Verification, Model Checking and Abstract Interpretation'
  start_date: 2010-01-17
date_created: 2018-12-11T12:05:27Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T07:52:33Z
day: '01'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.1007/978-3-642-11319-2_14
file:
- access_level: open_access
  checksum: da69b13a2d9a7a316c909e09c1090cef
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:09Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '4989'
  file_name: IST-2012-69-v1+1_Invariant_and_type_inference_for_matrices.pdf
  file_size: 251265
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
intvolume: '      5944'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 163 - 179
publication_status: published
publisher: Springer
publist_id: '2357'
pubrep_id: '69'
quality_controlled: '1'
scopus_import: 1
status: public
title: Invariant and type inference for matrices
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 5944
year: '2010'
...
---
_id: '3840'
abstract:
- lang: eng
  text: 'Classical formalizations of systems and properties are boolean: given a system
    and a property, the property is either true or false of the system. Correspondingly,
    classical methods for system analysis determine the truth value of a property,
    preferably giving a proof if the property is true, and a counterexample if the
    property is false; classical methods for system synthesis construct a system for
    which a property is true; classical methods for system transformation, composition,
    and abstraction aim to preserve the truth of properties. The boolean view is prevalent
    even if the system, the property, or both refer to numerical quantities, such
    as the times or probabilities of events. For example, a timed automaton either
    satisfies or violates a formula of a real-time logic; a stochastic process either
    satisfies or violates a formula of a probabilistic logic. The classical black-and-white
    view partitions the world into "correct" and "incorrect" systems, offering few
    nuances. In reality, of several systems that satisfy a property in the boolean
    sense, often some are more desirable than others, and of the many systems that
    violate a property, usually some are less objectionable than others. For instance,
    among the systems that satisfy the response property that every request be granted,
    we may prefer systems that grant requests quickly (the quicker, the better), or
    we may prefer systems that issue few unnecessary grants (the fewer, the better);
    and among the systems that violate the response property, we may prefer systems
    that serve many initial requests (the more, the better), or we may prefer systems
    that serve many requests in the long run (the greater the fraction of served to
    unserved requests, the better). Formally, while a boolean notion of correctness
    is given by a preorder on systems and properties, a quantitative notion of correctness
    is defined by a directed metric on systems and properties, where the distance
    between a system and a property provides a measure of "fit" or "desirability."
    There are many ways how such distances can be defined. In a linear-time framework,
    one assigns numerical values to individual behaviors before assigning values to
    systems and properties, which are sets of behaviors. For example, the value of
    a single behavior may be a discounted value, which is largely determined by a
    prefix of the behavior, e.g., by the number of requests that are granted before
    the first request that is not granted; or a limit value, which is independent
    of any finite prefix. A limit value may be an average, such as the average response
    time over an infinite sequence of requests and grants, or a supremum, such as
    the worst-case response time. Similarly, the value of a set of behaviors may be
    an extremum or an average across the values of all behaviors in the set: in this
    way one can measure the worst of all possible average-case response times, or
    the average of all possible worst-case response times, etc. Accordingly, the distance
    between two sets of behaviors may be defined as the worst or average difference
    between the values of corresponding behaviors. In summary, we propagate replacing
    boolean specifications for the correctness of systems with quantitative measures
    for the desirability of systems. In quantitative analysis, the aim is to compute
    the distance between a system and a property (or between two systems, or two properties);
    in quantitative synthesis, the objective is to construct a system that has minimal
    distance from a given property. Multiple quantitative measures can be prioritized
    (e.g., combined lexicographically into a single measure) or studied along the
    Pareto curve. Quantitative transformations, compositions, and abstractions of
    systems are useful if they allow us to bound the induced change in distance from
    a property. We present some initial results in some of these directions. We also
    give some potential applications, which not only generalize tradiditional correctness
    concerns in the functional, timed, and probabilistic domains, but also capture
    such system measures as resource use, performance, cost, reliability, and robustness.'
acknowledgement: This talk surveys joint work with Roderick Bloem, Krishnendu Chatterjee,
  Laurent Doyen, and Barbara Jobstmann.
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Henzinger TA. From boolean to quantitative notions of correctness. In: Vol
    45. ACM; 2010:157-158. doi:<a href="https://doi.org/10.1145/1706299.1706319">10.1145/1706299.1706319</a>'
  apa: 'Henzinger, T. A. (2010). From boolean to quantitative notions of correctness
    (Vol. 45, pp. 157–158). Presented at the POPL: Principles of Programming Languages,
    Madrid, Spain: ACM. <a href="https://doi.org/10.1145/1706299.1706319">https://doi.org/10.1145/1706299.1706319</a>'
  chicago: Henzinger, Thomas A. “From Boolean to Quantitative Notions of Correctness,”
    45:157–58. ACM, 2010. <a href="https://doi.org/10.1145/1706299.1706319">https://doi.org/10.1145/1706299.1706319</a>.
  ieee: 'T. A. Henzinger, “From boolean to quantitative notions of correctness,” presented
    at the POPL: Principles of Programming Languages, Madrid, Spain, 2010, vol. 45,
    no. 1, pp. 157–158.'
  ista: 'Henzinger TA. 2010. From boolean to quantitative notions of correctness.
    POPL: Principles of Programming Languages vol. 45, 157–158.'
  mla: Henzinger, Thomas A. <i>From Boolean to Quantitative Notions of Correctness</i>.
    Vol. 45, no. 1, ACM, 2010, pp. 157–58, doi:<a href="https://doi.org/10.1145/1706299.1706319">10.1145/1706299.1706319</a>.
  short: T.A. Henzinger, in:, ACM, 2010, pp. 157–158.
conference:
  end_date: 2010-01-23
  location: Madrid, Spain
  name: 'POPL: Principles of Programming Languages'
  start_date: 2010-01-17
corr_author: '1'
date_created: 2018-12-11T12:05:27Z
date_published: 2010-01-17T00:00:00Z
date_updated: 2025-09-30T09:36:44Z
day: '17'
department:
- _id: ToHe
doi: 10.1145/1706299.1706319
external_id:
  isi:
  - '000281053800014'
intvolume: '        45'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 157 - 158
publication_status: published
publisher: ACM
publist_id: '2354'
quality_controlled: '1'
scopus_import: '1'
status: public
title: From boolean to quantitative notions of correctness
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 45
year: '2010'
...
---
_id: '3842'
abstract:
- lang: eng
  text: Within systems biology there is an increasing interest in the stochastic behavior
    of biochemical reaction networks. An appropriate stochastic description is provided
    by the chemical master equation, which represents a continuous-time Markov chain
    (CTMC). The uniformization technique is an efficient method to compute probability
    distributions of a CTMC if the number of states is manageable. However, the size
    of a CTMC that represents a biochemical reaction network is usually far beyond
    what is feasible. In this paper we present an on-the-fly variant of uniformization,
    where we improve the original algorithm at the cost of a small approximation error.
    By means of several examples, we show that our approach is particularly well-suited
    for biochemical reaction networks.
article_processing_charge: No
author:
- first_name: Frédéric
  full_name: Didier, Frédéric
  last_name: Didier
- 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: Maria
  full_name: Mateescu, Maria
  last_name: Mateescu
- first_name: Verena
  full_name: Wolf, Verena
  last_name: Wolf
citation:
  ama: Didier F, Henzinger TA, Mateescu M, Wolf V. Fast adaptive uniformization of
    the chemical master equation. <i>IET Systems Biology</i>. 2010;4(6):441-452. doi:<a
    href="https://doi.org/10.1049/iet-syb.2010.0005">10.1049/iet-syb.2010.0005</a>
  apa: Didier, F., Henzinger, T. A., Mateescu, M., &#38; Wolf, V. (2010). Fast adaptive
    uniformization of the chemical master equation. <i>IET Systems Biology</i>. Institution
    of Engineering and Technology. <a href="https://doi.org/10.1049/iet-syb.2010.0005">https://doi.org/10.1049/iet-syb.2010.0005</a>
  chicago: Didier, Frédéric, Thomas A Henzinger, Maria Mateescu, and Verena Wolf.
    “Fast Adaptive Uniformization of the Chemical Master Equation.” <i>IET Systems
    Biology</i>. Institution of Engineering and Technology, 2010. <a href="https://doi.org/10.1049/iet-syb.2010.0005">https://doi.org/10.1049/iet-syb.2010.0005</a>.
  ieee: F. Didier, T. A. Henzinger, M. Mateescu, and V. Wolf, “Fast adaptive uniformization
    of the chemical master equation,” <i>IET Systems Biology</i>, vol. 4, no. 6. Institution
    of Engineering and Technology, pp. 441–452, 2010.
  ista: Didier F, Henzinger TA, Mateescu M, Wolf V. 2010. Fast adaptive uniformization
    of the chemical master equation. IET Systems Biology. 4(6), 441–452.
  mla: Didier, Frédéric, et al. “Fast Adaptive Uniformization of the Chemical Master
    Equation.” <i>IET Systems Biology</i>, vol. 4, no. 6, Institution of Engineering
    and Technology, 2010, pp. 441–52, doi:<a href="https://doi.org/10.1049/iet-syb.2010.0005">10.1049/iet-syb.2010.0005</a>.
  short: F. Didier, T.A. Henzinger, M. Mateescu, V. Wolf, IET Systems Biology 4 (2010)
    441–452.
date_created: 2018-12-11T12:05:28Z
date_published: 2010-11-15T00:00:00Z
date_updated: 2025-09-30T09:54:51Z
day: '15'
ddc:
- '570'
department:
- _id: ToHe
doi: 10.1049/iet-syb.2010.0005
external_id:
  isi:
  - '000284108800011'
file:
- access_level: open_access
  checksum: 9a3bde48f43203991a0b3c6a277c2f5b
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:02Z
  date_updated: 2020-07-14T12:46:16Z
  file_id: '5254'
  file_name: IST-2012-66-v1+1_Fast_adaptive_uniformization_of_the_chemical_master_equation.pdf
  file_size: 222890
  relation: main_file
file_date_updated: 2020-07-14T12:46:16Z
has_accepted_license: '1'
intvolume: '         4'
isi: 1
issue: '6'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: 441 - 452
publication: IET Systems Biology
publication_status: published
publisher: Institution of Engineering and Technology
publist_id: '2349'
pubrep_id: '66'
quality_controlled: '1'
related_material:
  record:
  - id: '3843'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Fast adaptive uniformization of the chemical master equation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 4
year: '2010'
...
---
_id: '3845'
abstract:
- lang: eng
  text: This paper presents Aligators, a tool for the generation of universally quantified
    array invariants. Aligators leverages recurrence solving and algebraic techniques
    to carry out inductive reasoning over array content. The Aligators’ loop extraction
    module allows treatment of multi-path loops by exploiting their commutativity
    and serializability properties. Our experience in applying Aligators on a collection
    of loops from open source software projects indicates the applicability of recurrence
    and algebraic solving techniques for reasoning about arrays.
alternative_title:
- LNCS
article_processing_charge: No
author:
- 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: Thibaud
  full_name: Hottelier, Thibaud
  last_name: Hottelier
- first_name: Laura
  full_name: Kovács, Laura
  last_name: Kovács
- first_name: Andrey
  full_name: Rybalchenko, Andrey
  last_name: Rybalchenko
citation:
  ama: 'Henzinger TA, Hottelier T, Kovács L, Rybalchenko A. Aligators for arrays.
    In: Vol 6397. Springer; 2010:348-356. doi:<a href="https://doi.org/10.1007/978-3-642-16242-8_25">10.1007/978-3-642-16242-8_25</a>'
  apa: 'Henzinger, T. A., Hottelier, T., Kovács, L., &#38; Rybalchenko, A. (2010).
    Aligators for arrays (Vol. 6397, pp. 348–356). Presented at the LPAR: Logic for
    Programming, Artificial Intelligence, and Reasoning, Yogyakarta, Indonesia: Springer.
    <a href="https://doi.org/10.1007/978-3-642-16242-8_25">https://doi.org/10.1007/978-3-642-16242-8_25</a>'
  chicago: Henzinger, Thomas A, Thibaud Hottelier, Laura Kovács, and Andrey Rybalchenko.
    “Aligators for Arrays,” 6397:348–56. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-16242-8_25">https://doi.org/10.1007/978-3-642-16242-8_25</a>.
  ieee: 'T. A. Henzinger, T. Hottelier, L. Kovács, and A. Rybalchenko, “Aligators
    for arrays,” presented at the LPAR: Logic for Programming, Artificial Intelligence,
    and Reasoning, Yogyakarta, Indonesia, 2010, vol. 6397, pp. 348–356.'
  ista: 'Henzinger TA, Hottelier T, Kovács L, Rybalchenko A. 2010. Aligators for arrays.
    LPAR: Logic for Programming, Artificial Intelligence, and Reasoning, LNCS, vol.
    6397, 348–356.'
  mla: Henzinger, Thomas A., et al. <i>Aligators for Arrays</i>. Vol. 6397, Springer,
    2010, pp. 348–56, doi:<a href="https://doi.org/10.1007/978-3-642-16242-8_25">10.1007/978-3-642-16242-8_25</a>.
  short: T.A. Henzinger, T. Hottelier, L. Kovács, A. Rybalchenko, in:, Springer, 2010,
    pp. 348–356.
conference:
  end_date: 2010-10-15
  location: Yogyakarta, Indonesia
  name: 'LPAR: Logic for Programming, Artificial Intelligence, and Reasoning'
  start_date: 2010-10-10
corr_author: '1'
date_created: 2018-12-11T12:05:29Z
date_published: 2010-10-01T00:00:00Z
date_updated: 2025-09-30T09:35:47Z
day: '01'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.1007/978-3-642-16242-8_25
external_id:
  isi:
  - '000288062700025'
file:
- access_level: open_access
  checksum: 913af269da6710f2174f470b48ab7a82
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:10:05Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '4790'
  file_name: IST-2012-64-v1+1_Aligators_for_arrays.pdf
  file_size: 186143
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: '      6397'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 348 - 356
publication_status: published
publisher: Springer
publist_id: '2342'
pubrep_id: '64'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Aligators for arrays
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 6397
year: '2010'
...
---
_id: '3847'
abstract:
- lang: eng
  text: The importance of stochasticity within biological systems has been shown repeatedly
    during the last years and has raised the need for efficient stochastic tools.
    We present SABRE, a tool for stochastic analysis of biochemical reaction networks.
    SABRE implements fast adaptive uniformization (FAU), a direct numerical approximation
    algorithm for computing transient solutions of biochemical reaction networks.
    Biochemical reactions networks represent biological systems studied at a molecular
    level and these reactions can be modeled as transitions of a Markov chain. SABRE
    accepts as input the formalism of guarded commands, which it interprets either
    as continuous-time or as discrete-time Markov chains. Besides operating in a stochastic
    mode, SABRE may also perform a deterministic analysis by directly computing a
    mean-field approximation of the system under study. We illustrate the different
    functionalities of SABRE by means of biological case studies.
author:
- first_name: Frédéric
  full_name: Didier, Frédéric
  last_name: Didier
- 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: Maria
  full_name: Mateescu, Maria
  last_name: Mateescu
- first_name: Verena
  full_name: Wolf, Verena
  last_name: Wolf
citation:
  ama: 'Didier F, Henzinger TA, Mateescu M, Wolf V. SABRE: A tool for the stochastic
    analysis of biochemical reaction networks. In: IEEE; 2010:193-194. doi:<a href="https://doi.org/10.1109/QEST.2010.33">10.1109/QEST.2010.33</a>'
  apa: 'Didier, F., Henzinger, T. A., Mateescu, M., &#38; Wolf, V. (2010). SABRE:
    A tool for the stochastic analysis of biochemical reaction networks (pp. 193–194).
    Presented at the QEST: Quantitative Evaluation of Systems, Williamsburg, USA:
    IEEE. <a href="https://doi.org/10.1109/QEST.2010.33">https://doi.org/10.1109/QEST.2010.33</a>'
  chicago: 'Didier, Frédéric, Thomas A Henzinger, Maria Mateescu, and Verena Wolf.
    “SABRE: A Tool for the Stochastic Analysis of Biochemical Reaction Networks,”
    193–94. IEEE, 2010. <a href="https://doi.org/10.1109/QEST.2010.33">https://doi.org/10.1109/QEST.2010.33</a>.'
  ieee: 'F. Didier, T. A. Henzinger, M. Mateescu, and V. Wolf, “SABRE: A tool for
    the stochastic analysis of biochemical reaction networks,” presented at the QEST:
    Quantitative Evaluation of Systems, Williamsburg, USA, 2010, pp. 193–194.'
  ista: 'Didier F, Henzinger TA, Mateescu M, Wolf V. 2010. SABRE: A tool for the stochastic
    analysis of biochemical reaction networks. QEST: Quantitative Evaluation of Systems,
    193–194.'
  mla: 'Didier, Frédéric, et al. <i>SABRE: A Tool for the Stochastic Analysis of Biochemical
    Reaction Networks</i>. IEEE, 2010, pp. 193–94, doi:<a href="https://doi.org/10.1109/QEST.2010.33">10.1109/QEST.2010.33</a>.'
  short: F. Didier, T.A. Henzinger, M. Mateescu, V. Wolf, in:, IEEE, 2010, pp. 193–194.
conference:
  end_date: 2010-09-18
  location: Williamsburg, USA
  name: 'QEST: Quantitative Evaluation of Systems'
  start_date: 2010-09-15
date_created: 2018-12-11T12:05:29Z
date_published: 2010-10-14T00:00:00Z
date_updated: 2021-01-12T07:52:37Z
day: '14'
ddc:
- '004'
department:
- _id: ToHe
- _id: CaGu
doi: 10.1109/QEST.2010.33
file:
- access_level: open_access
  checksum: 38707b149d2174f01be406e794ffa849
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:03Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '4726'
  file_name: IST-2012-63-v1+1_SABRE-A_tool_for_the_stochastic_analysis_of_biochemical_reaction_networks.pdf
  file_size: 433824
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 193 - 194
publication_status: published
publisher: IEEE
publist_id: '2339'
pubrep_id: '63'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'SABRE: A tool for the stochastic analysis of biochemical reaction networks'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '3848'
abstract:
- lang: eng
  text: We define the robustness of a level set homology class of a function f:XR
    as the magnitude of a perturbation necessary to kill the class. Casting this notion
    into a group theoretic framework, we compute the robustness for each class, using
    a connection to extended persistent homology. The special case X=R3 has ramifications
    in medical imaging and scientific visualization.
alternative_title:
- LNCS
author:
- first_name: Paul
  full_name: Bendich, Paul
  id: 43F6EC54-F248-11E8-B48F-1D18A9856A87
  last_name: Bendich
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Dmitriy
  full_name: Morozov, Dmitriy
  last_name: Morozov
- first_name: Amit
  full_name: Patel, Amit
  id: 34A254A0-F248-11E8-B48F-1D18A9856A87
  last_name: Patel
citation:
  ama: 'Bendich P, Edelsbrunner H, Morozov D, Patel A. The robustness of level sets.
    In: Vol 6346. Springer; 2010:1-10. doi:<a href="https://doi.org/10.1007/978-3-642-15775-2_1">10.1007/978-3-642-15775-2_1</a>'
  apa: 'Bendich, P., Edelsbrunner, H., Morozov, D., &#38; Patel, A. (2010). The robustness
    of level sets (Vol. 6346, pp. 1–10). Presented at the ESA: European Symposium
    on Algorithms, Liverpool, UK: Springer. <a href="https://doi.org/10.1007/978-3-642-15775-2_1">https://doi.org/10.1007/978-3-642-15775-2_1</a>'
  chicago: Bendich, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “The
    Robustness of Level Sets,” 6346:1–10. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15775-2_1">https://doi.org/10.1007/978-3-642-15775-2_1</a>.
  ieee: 'P. Bendich, H. Edelsbrunner, D. Morozov, and A. Patel, “The robustness of
    level sets,” presented at the ESA: European Symposium on Algorithms, Liverpool,
    UK, 2010, vol. 6346, pp. 1–10.'
  ista: 'Bendich P, Edelsbrunner H, Morozov D, Patel A. 2010. The robustness of level
    sets. ESA: European Symposium on Algorithms, LNCS, vol. 6346, 1–10.'
  mla: Bendich, Paul, et al. <i>The Robustness of Level Sets</i>. Vol. 6346, Springer,
    2010, pp. 1–10, doi:<a href="https://doi.org/10.1007/978-3-642-15775-2_1">10.1007/978-3-642-15775-2_1</a>.
  short: P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel, in:, Springer, 2010, pp.
    1–10.
conference:
  end_date: 2010-09-08
  location: Liverpool, UK
  name: 'ESA: European Symposium on Algorithms'
  start_date: 2010-09-06
corr_author: '1'
date_created: 2018-12-11T12:05:30Z
date_published: 2010-09-01T00:00:00Z
date_updated: 2024-10-09T20:54:09Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/978-3-642-15775-2_1
intvolume: '      6346'
language:
- iso: eng
month: '09'
oa_version: None
page: 1 - 10
publication_status: published
publisher: Springer
publist_id: '2336'
quality_controlled: '1'
scopus_import: 1
status: public
title: The robustness of level sets
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6346
year: '2010'
...
---
_id: '3849'
abstract:
- lang: eng
  text: Using ideas from persistent homology, the robustness of a level set of a real-valued
    function is defined in terms of the magnitude of the perturbation necessary to
    kill the classes. Prior work has shown that the homology and robustness information
    can be read off the extended persistence diagram of the function. This paper extends
    these results to a non-uniform error model in which perturbations vary in their
    magnitude across the domain.
alternative_title:
- LNCS
author:
- first_name: Paul
  full_name: Bendich, Paul
  id: 43F6EC54-F248-11E8-B48F-1D18A9856A87
  last_name: Bendich
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
- first_name: Amit
  full_name: Patel, Amit
  id: 34A254A0-F248-11E8-B48F-1D18A9856A87
  last_name: Patel
citation:
  ama: 'Bendich P, Edelsbrunner H, Kerber M, Patel A. Persistent homology under non-uniform
    error. In: Vol 6281. Springer; 2010:12-23. doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_2">10.1007/978-3-642-15155-2_2</a>'
  apa: 'Bendich, P., Edelsbrunner, H., Kerber, M., &#38; Patel, A. (2010). Persistent
    homology under non-uniform error (Vol. 6281, pp. 12–23). Presented at the MFCS:
    Mathematical Foundations of Computer Science, Brno, Czech Republic: Springer.
    <a href="https://doi.org/10.1007/978-3-642-15155-2_2">https://doi.org/10.1007/978-3-642-15155-2_2</a>'
  chicago: Bendich, Paul, Herbert Edelsbrunner, Michael Kerber, and Amit Patel. “Persistent
    Homology under Non-Uniform Error,” 6281:12–23. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15155-2_2">https://doi.org/10.1007/978-3-642-15155-2_2</a>.
  ieee: 'P. Bendich, H. Edelsbrunner, M. Kerber, and A. Patel, “Persistent homology
    under non-uniform error,” presented at the MFCS: Mathematical Foundations of Computer
    Science, Brno, Czech Republic, 2010, vol. 6281, pp. 12–23.'
  ista: 'Bendich P, Edelsbrunner H, Kerber M, Patel A. 2010. Persistent homology under
    non-uniform error. MFCS: Mathematical Foundations of Computer Science, LNCS, vol.
    6281, 12–23.'
  mla: Bendich, Paul, et al. <i>Persistent Homology under Non-Uniform Error</i>. Vol.
    6281, Springer, 2010, pp. 12–23, doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_2">10.1007/978-3-642-15155-2_2</a>.
  short: P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp.
    12–23.
conference:
  end_date: 2010-08-27
  location: Brno, Czech Republic
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2010-08-23
date_created: 2018-12-11T12:05:30Z
date_published: 2010-08-10T00:00:00Z
date_updated: 2021-01-12T07:52:38Z
day: '10'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/978-3-642-15155-2_2
file:
- access_level: open_access
  checksum: af61e1c2bb42f3d556179d4692caeb1b
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:13Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '4994'
  file_name: IST-2016-537-v1+1_2010-P-05-NonuniformError.pdf
  file_size: 142357
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: '      6281'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 12 - 23
publication_status: published
publisher: Springer
publist_id: '2333'
pubrep_id: '537'
quality_controlled: '1'
scopus_import: 1
status: public
title: Persistent homology under non-uniform error
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6281
year: '2010'
...
---
_id: '385'
abstract:
- lang: eng
  text: 'Scanning tunneling spectroscopy studies on high-quality Bi2Te3 crystals exhibit
    perfect correspondence to angle-resolved photoemission spectroscopy data, hence
    enabling identification of different regimes measured in the local density of
    states (LDOS). Oscillations of LDOS near a step are analyzed. Within the main
    part of the surface band oscillations are strongly damped, supporting the hypothesis
    of topological protection. At higher energies, as the surface band becomes concave,
    oscillations appear, dispersing with a wave vector that may result from a hexagonal
    warping term. '
author:
- first_name: Zhanybek
  full_name: Alpichshev, Zhanybek
  id: 45E67A2A-F248-11E8-B48F-1D18A9856A87
  last_name: Alpichshev
  orcid: 0000-0002-7183-5203
- first_name: James
  full_name: Analytis, James
  last_name: Analytis
- first_name: Jiunhaw
  full_name: Chu, Jiunhaw
  last_name: Chu
- first_name: Ian
  full_name: Fisher, Ian
  last_name: Fisher
- first_name: Yulin
  full_name: Chen, Yulin
  last_name: Chen
- first_name: Zhixun
  full_name: Shen, Zhixun
  last_name: Shen
- first_name: Aiping
  full_name: Fang, Aiping
  last_name: Fang
- first_name: Aharon
  full_name: Kapitulnik, Aharon
  last_name: Kapitulnik
citation:
  ama: Alpichshev Z, Analytis J, Chu J, et al. STM imaging of electronic waves on
    the surface of Bi2Te3 Topologically protected surface states and hexagonal warping
    effects. <i>Physical Review Letters</i>. 2010;104(1). doi:<a href="https://doi.org/10.1103/PhysRevLett.104.016401">10.1103/PhysRevLett.104.016401</a>
  apa: Alpichshev, Z., Analytis, J., Chu, J., Fisher, I., Chen, Y., Shen, Z., … Kapitulnik,
    A. (2010). STM imaging of electronic waves on the surface of Bi2Te3 Topologically
    protected surface states and hexagonal warping effects. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.104.016401">https://doi.org/10.1103/PhysRevLett.104.016401</a>
  chicago: Alpichshev, Zhanybek, James Analytis, Jiunhaw Chu, Ian Fisher, Yulin Chen,
    Zhixun Shen, Aiping Fang, and Aharon Kapitulnik. “STM Imaging of Electronic Waves
    on the Surface of Bi2Te3 Topologically Protected Surface States and Hexagonal
    Warping Effects.” <i>Physical Review Letters</i>. American Physical Society, 2010.
    <a href="https://doi.org/10.1103/PhysRevLett.104.016401">https://doi.org/10.1103/PhysRevLett.104.016401</a>.
  ieee: Z. Alpichshev <i>et al.</i>, “STM imaging of electronic waves on the surface
    of Bi2Te3 Topologically protected surface states and hexagonal warping effects,”
    <i>Physical Review Letters</i>, vol. 104, no. 1. American Physical Society, 2010.
  ista: Alpichshev Z, Analytis J, Chu J, Fisher I, Chen Y, Shen Z, Fang A, Kapitulnik
    A. 2010. STM imaging of electronic waves on the surface of Bi2Te3 Topologically
    protected surface states and hexagonal warping effects. Physical Review Letters.
    104(1).
  mla: Alpichshev, Zhanybek, et al. “STM Imaging of Electronic Waves on the Surface
    of Bi2Te3 Topologically Protected Surface States and Hexagonal Warping Effects.”
    <i>Physical Review Letters</i>, vol. 104, no. 1, American Physical Society, 2010,
    doi:<a href="https://doi.org/10.1103/PhysRevLett.104.016401">10.1103/PhysRevLett.104.016401</a>.
  short: Z. Alpichshev, J. Analytis, J. Chu, I. Fisher, Y. Chen, Z. Shen, A. Fang,
    A. Kapitulnik, Physical Review Letters 104 (2010).
date_created: 2018-12-11T11:46:10Z
date_published: 2010-01-04T00:00:00Z
date_updated: 2021-01-12T07:52:39Z
day: '04'
doi: 10.1103/PhysRevLett.104.016401
extern: '1'
intvolume: '       104'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/pdf/0908.0371.pdf
month: '01'
oa: 1
oa_version: None
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '7444'
status: public
title: STM imaging of electronic waves on the surface of Bi2Te3 Topologically protected
  surface states and hexagonal warping effects
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 104
year: '2010'
...
---
_id: '3850'
abstract:
- lang: eng
  text: Given a polygonal shape Q with n vertices, can it be expressed, up to a tolerance
    ε in Hausdorff distance, as the Minkowski sum of another polygonal shape with
    a disk of fixed radius? If it does, we also seek a preferably simple solution
    shape P;P’s offset constitutes an accurate, vertex-reduced, and smoothened approximation
    of Q. We give a decision algorithm for fixed radius in O(nlogn) time that handles
    any polygonal shape. For convex shapes, the complexity drops to O(n), which is
    also the time required to compute a solution shape P with at most one more vertex
    than a vertex-minimal one.
author:
- first_name: Eric
  full_name: Berberich, Eric
  last_name: Berberich
- first_name: Dan
  full_name: Halperin, Dan
  last_name: Halperin
- first_name: Michael
  full_name: Kerber, Michael
  id: 36E4574A-F248-11E8-B48F-1D18A9856A87
  last_name: Kerber
  orcid: 0000-0002-8030-9299
- first_name: Roza
  full_name: Pogalnikova, Roza
  last_name: Pogalnikova
citation:
  ama: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. Polygonal reconstruction
    from approximate offsets. In: TU Dortmund; 2010:12-23.'
  apa: 'Berberich, E., Halperin, D., Kerber, M., &#38; Pogalnikova, R. (2010). Polygonal
    reconstruction from approximate offsets (pp. 12–23). Presented at the EuroCG:
    European Workshop on Computational Geometry, Dortmund, Germany: TU Dortmund.'
  chicago: Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Polygonal
    Reconstruction from Approximate Offsets,” 12–23. TU Dortmund, 2010.
  ieee: 'E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Polygonal reconstruction
    from approximate offsets,” presented at the EuroCG: European Workshop on Computational
    Geometry, Dortmund, Germany, 2010, pp. 12–23.'
  ista: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. 2010. Polygonal reconstruction
    from approximate offsets. EuroCG: European Workshop on Computational Geometry,
    12–23.'
  mla: Berberich, Eric, et al. <i>Polygonal Reconstruction from Approximate Offsets</i>.
    TU Dortmund, 2010, pp. 12–23.
  short: E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010,
    pp. 12–23.
conference:
  end_date: 2010-03-24
  location: Dortmund, Germany
  name: 'EuroCG: European Workshop on Computational Geometry'
  start_date: 2010-03-22
date_created: 2018-12-11T12:05:30Z
date_published: 2010-01-01T00:00:00Z
date_updated: 2021-01-12T07:52:39Z
day: '01'
department:
- _id: HeEd
language:
- iso: eng
month: '01'
oa_version: None
page: 12 - 23
publication_status: published
publisher: TU Dortmund
publist_id: '2334'
quality_controlled: '1'
status: public
title: Polygonal reconstruction from approximate offsets
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
