@article{1272,
  abstract     = {We study different means to extend offsetting based on skeletal structures beyond the well-known constant-radius and mitered offsets supported by Voronoi diagrams and straight skeletons, for which the orthogonal distance of offset elements to their respective input elements is constant and uniform over all input elements. Our main contribution is a new geometric structure, called variable-radius Voronoi diagram, which supports the computation of variable-radius offsets, i.e., offsets whose distance to the input is allowed to vary along the input. We discuss properties of this structure and sketch a prototype implementation that supports the computation of variable-radius offsets based on this new variant of Voronoi diagrams.},
  author       = {Held, Martin and Huber, Stefan and Palfrader, Peter},
  journal      = {Computer-Aided Design and Applications},
  number       = {5},
  pages        = {712 -- 721},
  publisher    = {Taylor & Francis},
  title        = {{Generalized offsetting of planar structures using skeletons}},
  doi          = {10.1080/16864360.2016.1150718},
  volume       = {13},
  year         = {2016},
}

@article{1254,
  abstract     = {We use rigorous numerical techniques to compute a lower bound for the exponent of expansivity outside a neighborhood of the critical point for thousands of intervals of parameter values in the quadratic family. We first compute a radius of the critical neighborhood outside which the map is uniformly expanding. This radius is taken as small as possible, yet large enough for our numerical procedure to succeed in proving that the expansivity exponent outside this neighborhood is positive. Then, for each of the intervals, we compute a lower bound for this expansivity exponent, valid for all the parameters in that interval. We illustrate and study the distribution of the radii and the expansivity exponents. The results of our computations are mathematically rigorous. The source code of the software and the results of the computations are made publicly available at http://www.pawelpilarczyk.com/quadratic/.},
  author       = {Golmakani, Ali and Luzzatto, Stefano and Pilarczyk, Pawel},
  journal      = {Experimental Mathematics},
  number       = {2},
  pages        = {116 -- 124},
  publisher    = {Taylor & Francis},
  title        = {{Uniform expansivity outside a critical neighborhood in the quadratic family}},
  doi          = {10.1080/10586458.2015.1048011},
  volume       = {25},
  year         = {2016},
}

@article{1188,
  abstract     = {We consider a population dynamics model coupling cell growth to a diffusion in the space of metabolic phenotypes as it can be obtained from realistic constraints-based modelling. 
In the asymptotic regime of slow
diffusion, that coincides with the relevant experimental range, the resulting
non-linear Fokker–Planck equation is solved for the steady state in the WKB
approximation that maps it into the ground state of a quantum particle in an
Airy potential plus a centrifugal term. We retrieve scaling laws for growth rate
fluctuations and time response with respect to the distance from the maximum
growth rate suggesting that suboptimal populations can have a faster response
to perturbations.},
  author       = {De Martino, Daniele and Masoero, Davide},
  journal      = {Journal of Statistical Mechanics: Theory and Experiment},
  number       = {12},
  publisher    = {IOP Publishing},
  title        = {{Asymptotic analysis of noisy fitness maximization, applied to metabolism &amp; growth}},
  doi          = {10.1088/1742-5468/aa4e8f},
  volume       = {2016},
  year         = {2016},
}

@article{1441,
  abstract     = {Optogenetics and photopharmacology enable the spatio-temporal control of cell and animal behavior by light. Although red light offers deep-tissue penetration and minimal phototoxicity, very few red-light-sensitive optogenetic methods are currently available. We have now developed a red-light-induced homodimerization domain. We first showed that an optimized sensory domain of the cyanobacterial phytochrome 1 can be expressed robustly and without cytotoxicity in human cells. We then applied this domain to induce the dimerization of two receptor tyrosine kinases—the fibroblast growth factor receptor 1 and the neurotrophin receptor trkB. This new optogenetic method was then used to activate the MAPK/ERK pathway non-invasively in mammalian tissue and in multicolor cell-signaling experiments. The light-controlled dimerizer and red-light-activated receptor tyrosine kinases will prove useful to regulate a variety of cellular processes with light. Go deep with red: The sensory domain (S) of the cyanobacterial phytochrome 1 (CPH1) was repurposed to induce the homodimerization of proteins in living cells by red light. By using this domain, light-activated protein kinases were engineered that can be activated orthogonally from many fluorescent proteins and through mammalian tissue. Pr/Pfr=red-/far-red-absorbing state of CPH1.},
  author       = {Gschaider-Reichhart, Eva and Inglés Prieto, Álvaro and Tichy, Alexandra-Madelaine and Mckenzie, Catherine and Janovjak, Harald L},
  journal      = {Angewandte Chemie International Edition},
  number       = {21},
  pages        = {6339 -- 6342},
  publisher    = {Wiley},
  title        = {{A phytochrome sensory domain permits receptor activation by red light}},
  doi          = {10.1002/anie.201601736},
  volume       = {55},
  year         = {2016},
}

@article{1339,
  abstract     = {We present a microelectromechanical system, in which a silicon beam is attached to a comb-drive
actuator, which is used to tune the tension in the silicon beam and thus its resonance frequency. By
measuring the resonance frequencies of the system, we show that the comb-drive actuator and the
silicon beam behave as two strongly coupled resonators. Interestingly, the effective coupling rate
(1.5 MHz) is tunable with the comb-drive actuator (10%) as well as with a side-gate (10%)
placed close to the silicon beam. In contrast, the effective spring constant of the system is insensitive
to either of them and changes only by 60.5%. Finally, we show that the comb-drive actuator
can be used to switch between different coupling rates with a frequency of at least 10 kHz.
},
  author       = {Verbiest, Gerard and Xu, Duo and Goldsche, Matthias and Khodkov, Timofiy and Barzanjeh, Shabir and Von Den Driesch, Nils and Buca, Dan and Stampfer, Christoph},
  journal      = {Applied Physics Letter},
  publisher    = {American Institute of Physics},
  title        = {{Tunable mechanical coupling between driven microelectromechanical resonators}},
  doi          = {10.1063/1.4964122},
  volume       = {109},
  year         = {2016},
}

@article{22171,
  abstract     = {We show that over the binary field [Formula: see text], the Bar-Natan perturbation of Khovanov homology splits as the direct sum of its two reduced theories, which we also prove are isomorphic. This extends Shumakovitch’s analogous result for ordinary Khovanov homology, without the perturbation. },
  author       = {Wigderson, Yuval},
  issn         = {1793-6527},
  journal      = {Journal of Knot Theory and Its Ramifications},
  keywords     = {Khovanov homology, categorification, Bar-Natan theory, link homology},
  number       = {04},
  publisher    = {World Scientific Publishing},
  title        = {{The Bar-Natan theory splits}},
  doi          = {10.1142/s0218216516500140},
  volume       = {25},
  year         = {2016},
}

@article{22202,
  abstract     = {We use modular symmetric designs to study the existence of Hadamard matrices modulo certain primes. We solve the 7-modular and 11-modular versions of the Hadamard conjecture for all but a ﬁnite number of cases. In doing so, we state a conjectural sufﬁcient condition for the existence of a p-modular Hadamard matrix for all but ﬁnitely many cases. When 2 is a primitive root of a prime p, we conditionally solve this conjecture and therefore the p-modular version of the Hadamard conjecture for all but ﬁnitely many cases when p ≡ 3(mod 4), and prove a weaker result for p ≡ 1 (mod 4). Finally, we look at constraints on the existence of m-modular Hadamard matrices when the size of the matrix is small compared to m.},
  author       = {Kuperberg, Vivian Zieve},
  issn         = {1520-6610},
  journal      = {Journal of Combinatorial Designs},
  keywords     = {modular hadamard matrices, modular symmetric designs},
  number       = {9},
  pages        = {393--405},
  publisher    = {Wiley},
  title        = {{Hadamard matrices modulo p and small modular Hadamard matrices}},
  doi          = {10.1002/jcd.21522},
  volume       = {24},
  year         = {2016},
}

@article{1662,
  abstract     = {We introduce a modification of the classic notion of intrinsic volume using persistence moments of height functions. Evaluating the modified first intrinsic volume on digital approximations of a compact body with smoothly embedded boundary in Rn, we prove convergence to the first intrinsic volume of the body as the resolution of the approximation improves. We have weaker results for the other modified intrinsic volumes, proving they converge to the corresponding intrinsic volumes of the n-dimensional unit ball.},
  author       = {Edelsbrunner, Herbert and Pausinger, Florian},
  journal      = {Advances in Mathematics},
  pages        = {674 -- 703},
  publisher    = {Academic Press},
  title        = {{Approximation and convergence of the intrinsic volume}},
  doi          = {10.1016/j.aim.2015.10.004},
  volume       = {287},
  year         = {2016},
}

@phdthesis{1121,
  abstract     = {Horizontal gene transfer (HGT), the lateral acquisition of genes across existing species
boundaries, is a major evolutionary force shaping microbial genomes that facilitates
adaptation to new environments as well as resistance to antimicrobial drugs. As such,
understanding the mechanisms and constraints that determine the outcomes of HGT
events is crucial to understand the dynamics of HGT and to design better strategies to
overcome the challenges that originate from it.
Following the insertion and expression of a newly transferred gene, the success of an
HGT event will depend on the fitness effect it has on the recipient (host) cell. Therefore,
predicting the impact of HGT on the genetic composition of a population critically
depends on the distribution of fitness effects (DFE) of horizontally transferred genes.
However, to date, we have little knowledge of the DFE of newly transferred genes, and
hence little is known about the shape and scale of this distribution.
It is particularly important to better understand the selective barriers that determine
the fitness effects of newly transferred genes. In spite of substantial bioinformatics
efforts to identify horizontally transferred genes and selective barriers, a systematic
experimental approach to elucidate the roles of different selective barriers in defining
the fate of a transfer event has largely been absent. Similarly, although the fact that
environment might alter the fitness effect of a horizontally transferred gene may seem
obvious, little attention has been given to it in a systematic experimental manner.
In this study, we developed a systematic experimental approach that consists of
transferring 44 arbitrarily selected Salmonella typhimurium orthologous genes into an
Escherichia coli host, and estimating the fitness effects of these transferred genes at a
constant expression level by performing competition assays against the wild type.
In chapter 2, we performed one-to-one competition assays between a mutant strain
carrying a transferred gene and the wild type strain. By using flow cytometry we
estimated selection coefficients for the transferred genes with a precision level of 10-3,and obtained the DFE of horizontally transferred genes. We then investigated if these
fitness effects could be predicted by any of the intrinsic properties of the genes, namely,
functional category, degree of complexity (protein-protein interactions), GC content,
codon usage and length. Our analyses revealed that the functional category and length
of the genes act as potential selective barriers. Finally, using the same procedure with
the endogenous E. coli orthologs of these 44 genes, we demonstrated that gene dosage is
the most prominent selective barrier to HGT.
In chapter 3, using the same set of genes we investigated the role of environment on the
success of HGT events. Under six different environments with different levels of stress
we performed more complex competition assays, where we mixed all 44 mutant strains
carrying transferred genes with the wild type strain. To estimate the fitness effects of
genes relative to wild type we used next generation sequencing. We found that the DFEs
of horizontally transferred genes are highly dependent on the environment, with
abundant gene–by-environment interactions. Furthermore, we demonstrated a
relationship between average fitness effect of a gene across all environments and its
environmental variance, and thus its predictability. Finally, in spite of the fitness effects
of genes being highly environment-dependent, we still observed a common shape of
DFEs across all tested environments.},
  author       = {Acar, Hande},
  issn         = {2663-337X},
  pages        = {75},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Selective barriers to horizontal gene transfer}},
  year         = {2016},
}

@phdthesis{1122,
  abstract     = {Computer graphics is an extremely exciting field for two reasons. On the one hand,
there is a healthy injection of pragmatism coming from the visual effects industry
that want robust algorithms that work so they can produce results at an increasingly
frantic pace. On the other hand, they must always try to push the envelope and
achieve the impossible to wow their audiences in the next blockbuster, which means
that the industry has not succumb to conservatism, and there is plenty of room to
try out new and crazy ideas if there is a chance that it will pan into something
useful.
Water simulation has been in visual effects for decades, however it still remains
extremely challenging because of its high computational cost and difficult artdirectability.
The work in this thesis tries to address some of these difficulties.
Specifically, we make the following three novel contributions to the state-of-the-art
in water simulation for visual effects.
First, we develop the first algorithm that can convert any sequence of closed
surfaces in time into a moving triangle mesh. State-of-the-art methods at the time
could only handle surfaces with fixed connectivity, but we are the first to be able to
handle surfaces that merge and split apart. This is important for water simulation
practitioners, because it allows them to convert splashy water surfaces extracted
from particles or simulated using grid-based level sets into triangle meshes that can
be either textured and enhanced with extra surface dynamics as a post-process.
We also apply our algorithm to other phenomena that merge and split apart, such
as morphs and noisy reconstructions of human performances.
Second, we formulate a surface-based energy that measures the deviation of a
water surface froma physically valid state. Such discrepancies arise when there is a
mismatch in the degrees of freedom between the water surface and the underlying
physics solver. This commonly happens when practitioners use a moving triangle
mesh with a grid-based physics solver, or when high-resolution grid-based surfaces
are combined with low-resolution physics. Following the direction of steepest
descent on our surface-based energy, we can either smooth these artifacts or turn
them into high-resolution waves by interpreting the energy as a physical potential.
Third, we extend state-of-the-art techniques in non-reflecting boundaries to handle spatially and time-varying background flows. This allows a novel new
workflow where practitioners can re-simulate part of an existing simulation, such
as removing a solid obstacle, adding a new splash or locally changing the resolution.
Such changes can easily lead to new waves in the re-simulated region that would
reflect off of the new simulation boundary, effectively ruining the illusion of a
seamless simulation boundary between the existing and new simulations. Our
non-reflecting boundaries makes sure that such waves are absorbed.},
  author       = {Bojsen-Hansen, Morten},
  issn         = {2663-337X},
  pages        = {114},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Tracking, correcting and absorbing water surface waves}},
  doi          = {10.15479/AT:ISTA:th_640},
  year         = {2016},
}

@phdthesis{1397,
  abstract     = {We study partially observable Markov decision processes (POMDPs) with objectives used in verification and artificial intelligence. The qualitative analysis problem given a POMDP and an objective asks whether there is a strategy (policy) to ensure that the objective is satisfied almost surely (with probability 1), resp. with positive probability (with probability greater than 0). For POMDPs with limit-average payoff, where a reward value in the interval [0,1] is associated to every transition, and the payoff of an infinite path is the long-run average of the rewards, we consider two types of path constraints: (i) a quantitative limit-average constraint defines the set of paths where the payoff is at least a given threshold L1 = 1. Our main results for qualitative limit-average constraint under almost-sure winning are as follows: (i) the problem of deciding the existence of a finite-memory controller is EXPTIME-complete; and (ii) the problem of deciding the existence of an infinite-memory controller is undecidable. For quantitative limit-average constraints we show that the problem of deciding the existence of a finite-memory controller is undecidable. We present a prototype implementation of our EXPTIME algorithm. For POMDPs with w-regular conditions specified as parity objectives, while the qualitative analysis problems are known to be undecidable even for very special case of parity objectives, we establish decidability (with optimal complexity) of the qualitative analysis problems for POMDPs with parity objectives under finite-memory strategies. We establish optimal (exponential) memory bounds and EXPTIME-completeness of the qualitative analysis problems under finite-memory strategies for POMDPs with parity objectives. Based on our theoretical algorithms we also present a practical approach, where we design heuristics to deal with the exponential complexity, and have applied our implementation on a number of well-known POMDP examples for robotics applications. For POMDPs with a set of target states and an integer cost associated with every transition, we study the optimization objective that asks to minimize the expected total cost of reaching a state in the target set, while ensuring that the target set is reached almost surely. We show that for general integer costs approximating the optimal cost is undecidable. For positive costs, our results are as follows: (i) we establish matching lower and upper bounds for the optimal cost, both double and exponential in the POMDP state space size; (ii) we show that the problem of approximating the optimal cost is decidable and present approximation algorithms that extend existing algorithms for POMDPs with finite-horizon objectives. We show experimentally that it performs well in many examples of interest. We study more deeply the problem of almost-sure reachability, where  given a set of target states, the question is to decide whether there is a strategy to ensure that the target set is reached almost surely. While in general the problem EXPTIME-complete, in many practical cases strategies with a small amount of memory suffice. Moreover, the existing solution to the problem is explicit, which first requires to construct explicitly an exponential reduction to a belief-support MDP. We first study the existence of observation-stationary strategies, which is NP-complete, and then small-memory strategies. We present a symbolic algorithm by an efficient encoding to SAT and using a SAT solver for the problem. We report experimental results demonstrating the scalability of our symbolic (SAT-based) approach. Decentralized POMDPs (DEC-POMDPs) extend POMDPs to a multi-agent setting, where several agents operate in an uncertain environment independently to achieve a joint objective. In this work we consider Goal DEC-POMDPs, where given a set of target states, the objective is to ensure that the target set is reached with minimal cost. We consider the indefinite-horizon (infinite-horizon with either discounted-sum, or undiscounted-sum, where absorbing goal states have zero-cost) problem. We present a new and novel method to solve the problem that extends methods for finite-horizon DEC-POMDPs and the real-time dynamic programming approach for POMDPs. We present experimental results on several examples, and show that our approach presents promising results. In the end we present a short summary of a few other results related to verification of MDPs and POMDPs.},
  author       = {Chmelik, Martin},
  issn         = {2663-337X},
  pages        = {232},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Algorithms for partially observable markov decision processes}},
  year         = {2016},
}

@misc{5558,
  abstract     = {PhD thesis LaTeX source code},
  author       = {Bojsen-Hansen, Morten},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Tracking, Correcting and Absorbing Water Surface Waves}},
  doi          = {10.15479/AT:ISTA:48},
  year         = {2016},
}

@phdthesis{1129,
  abstract     = {Directed cell migration is a hallmark feature, present in almost all multi-cellular
organisms. Despite its importance, basic questions regarding force transduction
or directional sensing are still heavily investigated. Directed migration of cells
guided by immobilized guidance cues - haptotaxis - occurs in key-processes,
such as embryonic development and immunity (Middleton et al., 1997; Nguyen
et al., 2000; Thiery, 1984; Weber et al., 2013). Immobilized guidance cues
comprise adhesive ligands, such as collagen and fibronectin (Barczyk et al.,
2009), or chemokines - the main guidance cues for migratory leukocytes
(Middleton et al., 1997; Weber et al., 2013). While adhesive ligands serve as
attachment sites guiding cell migration (Carter, 1965), chemokines instruct
haptotactic migration by inducing adhesion to adhesive ligands and directional
guidance (Rot and Andrian, 2004; Schumann et al., 2010). Quantitative analysis
of the cellular response to immobilized guidance cues requires in vitro assays
that foster cell migration, offer accurate control of the immobilized cues on a
subcellular scale and in the ideal case closely reproduce in vivo conditions. The
exploration of haptotactic cell migration through design and employment of such
assays represents the main focus of this work.
Dendritic cells (DCs) are leukocytes, which after encountering danger
signals such as pathogens in peripheral organs instruct naïve T-cells and
consequently the adaptive immune response in the lymph node (Mellman and
Steinman, 2001). To reach the lymph node from the periphery, DCs follow
haptotactic gradients of the chemokine CCL21 towards lymphatic vessels
(Weber et al., 2013). Questions about how DCs interpret haptotactic CCL21
gradients have not yet been addressed. The main reason for this is the lack of
an assay that offers diverse haptotactic environments, hence allowing the study
of DC migration as a response to different signals of immobilized guidance cue.
In this work, we developed an in vitro assay that enables us to
quantitatively assess DC haptotaxis, by combining precisely controllable
chemokine photo-patterning with physically confining migration conditions. With this tool at hand, we studied the influence of CCL21 gradient properties and
concentration on DC haptotaxis. We found that haptotactic gradient sensing
depends on the absolute CCL21 concentration in combination with the local
steepness of the gradient. Our analysis suggests that the directionality of
migrating DCs is governed by the signal-to-noise ratio of CCL21 binding to its
receptor CCR7. Moreover, the haptotactic CCL21 gradient formed in vivo
provides an optimal shape for DCs to recognize haptotactic guidance cue.
By reconstitution of the CCL21 gradient in vitro we were also able to
study the influence of CCR7 signal termination on DC haptotaxis. To this end,
we used DCs lacking the G-protein coupled receptor kinase GRK6, which is
responsible for CCL21 induced CCR7 receptor phosphorylation and
desensitization (Zidar et al., 2009). We found that CCR7 desensitization by
GRK6 is crucial for maintenance of haptotactic CCL21 gradient sensing in vitro
and confirm those observations in vivo.
In the context of the organism, immobilized haptotactic guidance cues
often coincide and compete with soluble chemotactic guidance cues. During
wound healing, fibroblasts are exposed and influenced by adhesive cues and
soluble factors at the same time (Wu et al., 2012; Wynn, 2008). Similarly,
migrating DCs are exposed to both, soluble chemokines (CCL19 and truncated
CCL21) inducing chemotactic behavior as well as the immobilized CCL21. To
quantitatively assess these complex coinciding immobilized and soluble
guidance cues, we implemented our chemokine photo-patterning technique in a
microfluidic system allowing for chemotactic gradient generation. To validate
the assay, we observed DC migration in competing CCL19/CCL21
environments.
Adhesiveness guided haptotaxis has been studied intensively over the
last century. However, quantitative studies leading to conceptual models are
largely missing, again due to the lack of a precisely controllable in vitro assay. A
requirement for such an in vitro assay is that it must prevent any uncontrolled
cell adhesion. This can be accomplished by stable passivation of the surface. In
addition, controlled adhesion must be sustainable, quantifiable and dose
dependent in order to create homogenous gradients. Therefore, we developed a novel covalent photo-patterning technique satisfying all these needs. In
combination with a sustainable poly-vinyl alcohol (PVA) surface coating we
were able to generate gradients of adhesive cue to direct cell migration. This
approach allowed us to characterize the haptotactic migratory behavior of
zebrafish keratocytes in vitro. Furthermore, defined patterns of adhesive cue
allowed us to control for cell shape and growth on a subcellular scale.},
  author       = {Schwarz, Jan},
  issn         = {2663-337X},
  pages        = {178},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Quantitative analysis of haptotactic cell migration}},
  year         = {2016},
}

@phdthesis{1123,
  abstract     = {Motivated by topological Tverberg-type problems  in topological combinatorics and by classical
results about embeddings (maps without double points), we study the question whether a finite
simplicial complex K  can be mapped into Rd  without triple, quadruple, or, more generally, r-fold points  (image points with at least r  distinct preimages), for a given multiplicity r ≤ 2. In particular, we are interested in maps f : K → Rd  that have no global r -fold intersection points, i.e., no r -fold points with preimages in r pairwise disjoint  simplices of K , and we seek necessary and sufficient conditions for the existence of such maps.

We present higher-multiplicity analogues of several classical results for embeddings, in particular of the completeness of the Van Kampen obstruction  for embeddability of k -dimensional
complexes into R2k , k ≥ 3. Speciffically, we show that under suitable restrictions on the dimensions(viz., if dimK  = (r ≥ 1)k  and d  = rk \ for some k ≥ 3), a well-known deleted product criterion (DPC ) is not only necessary but also sufficient for the existence of maps without global r -fold points. Our main technical tool is a higher-multiplicity version of the classical Whitney trick , by which pairs of isolated r -fold points of opposite sign  can be eliminated by local modiffications of the map, assuming codimension d – dimK ≥ 3.

An important guiding idea for our work was that suffciency of the DPC, together with an old
result of Özaydin's on the existence of equivariant maps, might yield an approach to disproving the remaining open cases of the the long-standing topological Tverberg conjecture , i.e., to construct maps from the N -simplex σN  to Rd  without r-Tverberg points when r not a prime power  and
N  = (d  + 1)(r – 1). Unfortunately, our proof of the sufficiency of the DPC requires codimension d – dimK ≥ 3, which is not satisfied for K  = σN .

In 2015, Frick [16] found a very elegant way to overcome this \codimension 3 obstacle&quot; and
to construct the first counterexamples to the topological Tverberg conjecture for all parameters(d; r ) with d ≥ 3r  + 1 and r  not a prime power, by a reduction1  to a suitable lower-dimensional skeleton, for which the codimension 3 restriction is satisfied and maps without r -Tverberg points exist by Özaydin's result and sufficiency of the DPC.

In this thesis, we present a different construction (which does not use the constraint method) that yields counterexamples for d ≥ 3r , r  not a prime power.     },
  author       = {Mabillard, Isaac},
  issn         = {2663-337X},
  pages        = {55},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture}},
  year         = {2016},
}

@phdthesis{1126,
  abstract     = {Traditionally machine learning has been focusing on the problem of solving a single
task in isolation. While being quite well understood, this approach disregards an
important aspect of human learning: when facing a new problem, humans are able to
exploit knowledge acquired from previously learned tasks. Intuitively, access to several
problems simultaneously or sequentially could also be advantageous for a machine
learning system, especially if these tasks are closely related. Indeed, results of many
empirical studies have provided justification for this intuition. However, theoretical
justifications of this idea are rather limited.
The focus of this thesis is to expand the understanding of potential benefits of information
transfer between several related learning problems. We provide theoretical
analysis for three scenarios of multi-task learning - multiple kernel learning, sequential
learning and active task selection. We also provide a PAC-Bayesian perspective on
lifelong learning and investigate how the task generation process influences the generalization
guarantees in this scenario. In addition, we show how some of the obtained
theoretical results can be used to derive principled multi-task and lifelong learning
algorithms and illustrate their performance on various synthetic and real-world datasets.},
  author       = {Pentina, Anastasia},
  issn         = {2663-337X},
  pages        = {127},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Theoretical foundations of multi-task lifelong learning}},
  doi          = {10.15479/AT:ISTA:TH_776},
  year         = {2016},
}

@phdthesis{1125,
  abstract     = {Natural environments are never constant but subject to spatial and temporal change on
all scales, increasingly so due to human activity. Hence, it is crucial to understand the
impact of environmental variation on evolutionary processes. In this thesis, I present
three topics that share the common theme of environmental variation, yet illustrate its
effect from different perspectives.
First, I show how a temporally fluctuating environment gives rise to second-order
selection on a modifier for stress-induced mutagenesis. Without fluctuations, when
populations are adapted to their environment, mutation rates are minimized. I argue
that a stress-induced mutator mechanism may only be maintained if the population is
repeatedly subjected to diverse environmental challenges, and I outline implications of
the presented results to antibiotic treatment strategies.
Second, I discuss my work on the evolution of dispersal. Besides reproducing
known results about the effect of heterogeneous habitats on dispersal, it identifies
spatial changes in dispersal type frequencies as a source for selection for increased
propensities to disperse. This concept contains effects of relatedness that are known
to promote dispersal, and I explain how it identifies other forces selecting for dispersal
and puts them on a common scale.
Third, I analyse genetic variances of phenotypic traits under multivariate stabilizing
selection. For the case of constant environments, I generalize known formulae of
equilibrium variances to multiple traits and discuss how the genetic variance of a focal
trait is influenced by selection on background traits. I conclude by presenting ideas and
preliminary work aiming at including environmental fluctuations in the form of moving
trait optima into the model.},
  author       = {Novak, Sebastian},
  issn         = {2663-337X},
  pages        = {124},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Evolutionary proccesses in variable emvironments}},
  year         = {2016},
}

@phdthesis{1128,
  abstract     = {The process of gene expression is central to the modern understanding of how cellular systems
function. In this process, a special kind of regulatory proteins, called transcription factors,
are important to determine how much protein is produced from a given gene. As biological
information is transmitted from transcription factor concentration to mRNA levels to amounts of
protein, various sources of noise arise and pose limits to the fidelity of intracellular signaling.
This thesis concerns itself with several aspects of stochastic gene expression: (i) the mathematical
description of complex promoters responsible for the stochastic production of biomolecules,
(ii) fundamental limits to information processing the cell faces due to the interference from multiple
fluctuating signals, (iii) how the presence of gene expression noise influences the evolution
of regulatory sequences, (iv) and tools for the experimental study of origins and consequences
of cell-cell heterogeneity, including an application to bacterial stress response systems.},
  author       = {Rieckh, Georg},
  issn         = {2663-337X},
  pages        = {114},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Studying the complexities of transcriptional regulation}},
  year         = {2016},
}

@phdthesis{1124,
  author       = {Morri, Maurizio},
  issn         = {2663-337X},
  pages        = {129},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Optical functionalization of human class A orphan G-protein coupled receptors}},
  year         = {2016},
}

@article{1432,
  abstract     = {CA3–CA3 recurrent excitatory synapses are thought to play a key role in memory storage and pattern completion. Whether the plasticity properties of these synapses are consistent with their proposed network functions remains unclear. Here, we examine the properties of spike timing-dependent plasticity (STDP) at CA3–CA3 synapses. Low-frequency pairing of excitatory postsynaptic potentials (EPSPs) and action potentials (APs) induces long-term potentiation (LTP), independent of temporal order. The STDP curve is symmetric and broad (half-width ~150 ms). Consistent with these STDP induction properties, AP–EPSP sequences lead to supralinear summation of spine [Ca2+] transients. Furthermore, afterdepolarizations (ADPs) following APs efficiently propagate into dendrites of CA3 pyramidal neurons, and EPSPs summate with dendritic ADPs. In autoassociative network models, storage and recall are more robust with symmetric than with asymmetric STDP rules. Thus, a specialized STDP induction rule allows reliable storage and recall of information in the hippocampal CA3 network.},
  author       = {Mishra, Rajiv Kumar and Kim, Sooyun and Guzmán, José and Jonas, Peter M},
  journal      = {Nature Communications},
  publisher    = {Nature Publishing Group},
  title        = {{Symmetric spike timing-dependent plasticity at CA3–CA3 synapses optimizes storage and recall in autoassociative networks}},
  doi          = {10.1038/ncomms11552},
  volume       = {7},
  year         = {2016},
}

@phdthesis{1396,
  abstract     = {CA3 pyramidal neurons are thought to pay a key role in memory storage and pattern completion by activity-dependent synaptic plasticity between CA3-CA3 recurrent excitatory synapses. To examine the induction rules of synaptic plasticity at CA3-CA3 synapses, we performed whole-cell patch-clamp recordings in acute hippocampal slices from rats (postnatal 21-24 days) at room temperature. Compound excitatory postsynaptic potentials (ESPSs) were recorded by tract stimulation in stratum oriens in the presence of 10 µM gabazine. High-frequency stimulation (HFS) induced N-methyl-D-aspartate (NMDA) receptor-dependent long-term potentiation (LTP). Although LTP by HFS did not requier postsynaptic spikes, it was blocked by Na+-channel blockers suggesting that local active processes (e.g.) dendritic spikes) may contribute to LTP induction without requirement of a somatic action potential (AP). We next examined the properties of spike timing-dependent plasticity (STDP) at CA3-CA3 synapses. Unexpectedly, low-frequency pairing of EPSPs and backpropagated action potentialy (bAPs) induced LTP, independent of temporal order. The STDP curve was symmetric and broad, with a half-width of ~150 ms. Consistent with these specific STDP induction properties, post-presynaptic sequences led to a supralinear summation of spine [Ca2+] transients. Furthermore, in autoassociative network models, storage and recall was substantially more robust with symmetric than with asymmetric STDP rules. In conclusion, we found associative forms of LTP at CA3-CA3 recurrent collateral synapses with distinct induction rules. LTP induced by HFS may be associated with dendritic spikes. In contrast, low frequency pairing of pre- and postsynaptic activity induced LTP only if EPSP-AP were temporally very close. Together, these induction mechanisms of synaptiic plasticity may contribute to memory storage in the CA3-CA3 microcircuit at different ranges of activity.},
  author       = {Mishra, Rajiv Kumar},
  issn         = {2663-337X},
  pages        = {83},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Synaptic plasticity rules at CA3-CA3 recurrent synapses in hippocampus}},
  year         = {2016},
}

