Kathryn Hess Bellwald
Domaines de compétences
Applications de la topologie algébrique en informatique, en neuroscience, en biologie du cancer et en génie chimique
Her research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science. She has published extensively on topics in pure algebraic topology including homotopy theory, operad theory, and algebraic K-theory. On the applied side, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics. She has also developed and applied innovative topological approaches to network theory, leading to a powerful, parameter-free mathematical framework relating the activity of a neural network to its underlying structure, both locally and globally.
In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017. In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians. She has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize and the Polysphère d’Or.
Overcritical Current Resistivity of YBCO-Coated Conductors Through Combination of PCM and Finite-Element AnalysisIeee Transactions On Applied Superconductivity. 2019-08-01. DOI : 10.1109/TASC.2019.2902038.
Distributed machine learning in networks by consensusNeurocomputing. 2014. DOI : 10.1016/j.neucom.2012.12.055.
Multistable randomly switching oscillators: The odds of meeting a ghostEuropean Physical Journal-Special Topics. 2013. DOI : 10.1140/epjst/e2013-02032-9.
Modelling of 2G HTS Coated Conductors for Fault Current Limiter ApplicationsLausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5916.
Dynamics of Stochastically Blinking Systems. Part II: Asymptotic PropertiesSiam Journal On Applied Dynamical Systems. 2013. DOI : 10.1137/120893410.
Dynamics of Stochastically Blinking Systems. Part I: Finite Time PropertiesSiam Journal On Applied Dynamical Systems. 2013. DOI : 10.1137/120893409.
Evolution of source EEG synchronization in early Alzheimer's diseaseNeurobiology Of Aging. 2013. DOI : 10.1016/j.neurobiolaging.2012.07.012.
Stochastic fragments: A framework for the exact reduction of the stochastic semantics of rule-based modelsInternational Journal of Software and Informatics. 2013.
Topological Measure Locating the Effective Crossover between Segregation and Integration in a Modular NetworkPhysical Review Letters. 2012. DOI : 10.1103/PhysRevLett.108.228701.
Multistability of twisted states in non-locally coupled Kuramoto-type modelsChaos. 2012. DOI : 10.1063/1.3677365.
Effect of Network Architecture on Synchronization and Entrainment Properties of the Circadian Oscillations in the Suprachiasmatic NucleusPlos Computational Biology. 2012. DOI : 10.1371/journal.pcbi.1002419.
Automatic Skill Acquisition in Reinforcement Learning Using Graph Centrality MeasuresInternational Journal of Intelligent Data Analysis. 2012. DOI : 10.3233/IDA-2011-0513.
Mesoscale and clusters of synchrony in networks of bursting neuronsChaos. 2011. DOI : 10.1063/1.3563581.
Efficient characterization of high-dimensional parameter spaces for systems biologyBmc Systems Biology. 2011. DOI : 10.1186/1752-0509-5-142.
Deterministic characterization of phase noise in biomolecular oscillatorsPhysical Biology. 2011. DOI : 10.1088/1478-3975/8/5/055008.
Distributed Dynamics on Networks and their Applications in Network Communities, Sensor Networks and EEG'sLausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-5055.
Definitive Consensus for Distributed Data InferenceLausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-5026.
A lower bound for algebraic connectivity based on the connection-graph-stability methodLinear Algebra and Its Applications. 2011. DOI : 10.1016/j.laa.2010.12.019.
Rational design of robust biomolecular circuits: from specification to parametersDesign and Analysis of Bio-Molecular Circuits; New York: Springer, 2011. p. 253-279.
Network community-detection enhancement by proper weightingPhysical Review E. 2011. DOI : 10.1103/PhysRevE.83.046104.
Information Processing and Structure of Dynamical NetworksLausanne, EPFL, 2011. DOI : 10.5075/epfl-thesis-4976.
Training Distributed Neural Networks by Consensus2011. Distributed machine learning and sparse representation with massive data sets, Sydney, Australia, 18-20, 2011.
Guaranteed and randomized methods for stability analysis of uncertain metabolic networks2011. Bernoulli Workshop Advances in the Theory of Control, Signals and Systems, with Physical Modelling, Lausanne, 2009. p. 297-307. DOI : 10.1007/978-3-642-16135-3_24.
Fire Detection and Localization Using Wireless Sensor Networks2010. 1st International Conference on Sensor Applications, Experimentation, and Logistics, Athens, GREECE, Sep 25, 2009. p. 16-26. DOI : 10.1007/978-3-642-11870-8_2.
Attenuated asymmetry of functional connectivity in schizophrenia: A high-resolution EEG studyPsychophysiology. 2010. DOI : 10.1111/j.1469-8986.2009.00971.x.
Stochastic Simulations in Systems BiologyHandbook of Research on Computational Science and Engineering: Theory and Practice; IGI Global, 2010.
Positive feedbacks contribute to the robustness of the cell cycle with respect to molecular noiseLecture Notes in Control and Information Sciences. 2010. DOI : 10.1007/978-3-642-16135-3_23.
Quantitative Analysis of Robustness in Systems BiologyLausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4907.
A Weighting Scheme for Enhancing Community Detection in Networks2010. ICC 2010 - 2010 IEEE International Conference on Communications, Cape Town, South Africa, 23-27 05 2010. p. 1-4. DOI : 10.1109/ICC.2010.5502187.
Automatic skill acquisition in Reinforcement Learning using connection graph stability centrality2010. ISCAS 2010, Paris, France, May 30 2010-June 2 2010 . p. 697-700. DOI : 10.1109/ISCAS.2010.5537485.
Community detection enhancement in networks using proper weighting and partial synchronization2010. ISCAS 2010, Paris, France, May 30 2010-June 2 2010 . p. 3777-3780. DOI : 10.1109/ISCAS.2010.5537733.
Information Processing in Complex NetworksIEEE Circuits and Systems Magazine. 2010. DOI : 10.1109/MCAS.2010.937881.
Markov Chain Modeling And Analysis Of Complicated Phenomena In Coupled Chaotic OscillatorsJournal of Circuits, Systems, and Computers. 2010. DOI : 10.1142/S0218126610006451.
Stochastic Semantics of Signaling as a Composition of Agent-view Automata2010. SASB 2010, Perpignon, France, September , 2010.
Combining model reductions2010. 26th Conference on the Mathematical Foundations of Programming Semantics (MFPS 2010), Ottawa, Ontario, Canada, 6-10 May 2010. p. 73-96. DOI : 10.1016/j.entcs.2010.08.006.
Lumpability Abstractions of Rule-based Systems2010. MeCBIC. DOI : 10.4204/EPTCS.40.10.
Modeling and Characterization of Coated Conductors Applied to the Design of Superconducting Fault Current LimitersLausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4721.
Maximal Reduction of ODE Semantics of Rule-based Models: Syntax-Independent Setup2010. International Workshop on Computational Systems Biology, Luxembourg, June 16-18.
Stochastic Semantics of Signaling as a Composition of Agent-view Automata2010. International Workshop on Computational Systems Biology, Luxembourg, June 16-18.
Multiple feedback loops in circadian cycles: robustness and entrainment as selection criteria2010. International Workshop on Computational Systems Biology, Luxembourg, June 16-18.
Probability metrics to calibrate stochastic chemical kinetics2010. 2010 IEEE International Symposium on Circuits and Systems, Paris, May 30 - June 2. p. 541-544. DOI : 10.1109/ISCAS.2010.5537549.
Reservoir optimization in recurrent neural networks using properties of Kronecker productLogic Journal of IGPL. 2010. DOI : 10.1093/jigpal/jzp044.
Topography of EEG multivariate phase synchronization in early Alzheimer's diseaseNeurobiology of Aging. 2010. DOI : 10.1016/j.neurobiolaging.2008.07.019.
Evolution amplified processing with temporally dispersed slow neuronal connectivity in primatesProceedings Of The National Academy Of Sciences Of The United States Of America. 2009. DOI : 10.1073/pnas.0907655106.
Evolution of Feedback Loops in Oscillatory Systems2009. 3rd International Conference on Foundations of Systems Biology in Engineering (FOSBE), Denver, CO, August 9-12, 2009.
Semantic Vector Machines2009
Forest fire localization using a distributed consensus algorithm in wireless sensor networks2009. International Workshop on Nonlinear Theoretic Approach to Ambient Network, Sapporo, Japan.
Comment on Rewiring networks for synchronizationJournal of Chaos: An Interdisciplinary Journal of Nonlinear Science. 2009. DOI : 10.1063/1.3130929.
Synchronizability of dynamical networks: different measures and coincidenceInternational Journal of Nonlinear Sciences & Numerical Simulation. 2009.
Evolution of feedback loops in oscillatory systems2009. Foundations of Systems Biology in Engineering, Denver, August 9-12, 2009.
'Glocal' Robustness Analysis and Model Discrimination for Circadian OscillatorsPLoS Computational Biology. 2009. DOI : 10.1371/journal.pcbi.1000534.
A game-theoretical model of deforestation in human-environment relationshipsJournal of Theoretical Biology. 2009. DOI : 10.1016/j.jtbi.2009.01.005.
Early consensus in complex networks under variable graph topology2009. European conference on circuit theory and design 2009 (ECCTD 2009), Antalya, Turkey, Aug. 23-27, 2009. p. 575-578.
Forest fire localization using distributed algorithms in wireless sensor networks2009. Progress in Electromagnetics Research Symposium (PIERS 22009), Moscow, Aug. 18-21, 2009. p. 452-455.
Multiple task learning in recurrent neural networks using layered reservoirs2009. 17-th International Workshop on Nonlinear Dynamics of Electronic Systems (NDES 2009), Rapperswil, Switzerland, June 21-24, 2009. p. 62-65.
Frequency synchronization in a random oscillator network2009. 17-th International Workshop on Nonlinear Dynamics of Electronic Systems (NDES 2009), Rapperswil, Switzerland, June 21-24, 2009. p. 196-198.
Nonlinear Average Consensus2009. International Symposium on Nonlinear Theory and its Applications, Hokaido, Sapporo, October 18-21, 2009. p. 10-13.
Assessment of the Computational Performances of the Semi-Analytical Method (SAM) for Computing 2-D Current distributions in SuperconductorsIEEE transactions on applied superconductivity. 2009. DOI : 10.1109/TASC.2009.2019582.
Numerical studies of the quench propagation in coated conductors for Fault Current LimitersIEEE transactions on applied superconductivity. 2009. DOI : 10.1109/TASC.2009.2019600.
Quench propagation in coated conductors for fault current limitersPhysica C: Superconductivity and its applications. 2009. DOI : 10.1016/j.physc.2009.05.066.
A statistical analysis of receptor clustering using random graphs2009. International Workshop on Computational Systems Biology, Aarhus, Denmark, June 10-12.
Low-Density Codes Based on Chaotic Systems for Low-Density Codes Based on Chaotic Systems for Simple EncodingIEEE Transactions on Circuits and Systems, part I. 2009. DOI : 10.1109/TCSI.2008.2008433.
Turbo-Like Structures for Chaos Encoding and DecodingIEEE Transactions in Communications. 2009. DOI : 10.1109/TCOMM.2009.03.060520.
Motifs, algebraic connectivity and computational performance of two data- based cortical circuit templates2009. International Workshop on Computational Systems Biology, Aarhus, Denmark, June 10-12. p. 4.
Semi-quantitative stability analysis constrains saturation levels in metabolic networks2009. International Workshop on Computational Systems Biology, Aarhus, Denmark, June 10-12, 2009.
Rule-based modeling for protein-protein interaction networks - the cyanobacterial circadian clock as a case study2009. International Workshop on Computational Systems Biology, Aarhus, Denmark, June 10-12, 2009.
Robustness and evolution in oscillatory systems with feedback loops2009. Third International Conference on Foundations of Systems Biology in Engineering, Denver, USA, August 9-12, 2009.
Analysis and Design of Biological Circuits and Systems2009. 2009 IEEE International Symposium on Circuits and Systems, Taipei, Taiwan, May 24-27, 2009. DOI : 10.1109/ISCAS.2009.5117744.
A Local Nonlinear Model for the Approximation and Identification of a Class of SystemsIEEE Transactions on Circuits and Systems Part 2 Express Briefs. 2009. DOI : 10.1109/TCSII.2009.2015383.
Network inference by combining biologically motivated regulatory constraints with penalized regressionAnnals of New York Academy of Sciences. 2009. DOI : 10.1111/j.1749-6632.2008.03751.x.
Rumor Spreading in LiveJournal2008
Identifying system structure from controlled steady-state responsesPhysical Review E. 2008. DOI : 10.1103/PhysRevE.78.017201.
A novel approach for the analysis of synchronization in multivariate EEG time series2008. 14th World Congress of Psychophysiology the Olympics of the Brain, St Petersburg, RUSSIA, Sep 08-13, 2008. p. 201-202. DOI : 10.1016/j.ijpsycho.2008.05.550.
The Hindmarsh-Rose neuron model: Bifurcation analysis and piecewise-linear approximationsChaos. 2008. DOI : 10.1063/1.2975967.
Requirements documentation of a controlled complex motion system2008. AMC '08. 10th IEEE International Workshop on Advanced Motion Control, Trento, March 26-28, 2008. p. 200-205. DOI : 10.1109/AMC.2008.4516066.
Predicting single spikes and spike patterns with the Hindmarsh–Rose modelBiological Cybernetics. 2008. DOI : 10.1007/s00422-008-0260-y.
Motor intention in the posterior parietal cortexLausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4253.
Efficient rewirings for enhancing synchronizability of dynamical networksChaos. 2008. DOI : 10.1063/1.2967738.
Synchronization in dynamical networksLausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4214.
Estimation of the depth of anaesthesia from interacting physiological oscillatorsLausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4197.
Alpha rhythm and hypofrontality in schizophreniaActa Psychiatrica Scandinavica. 2008. DOI : 10.1111/j.1600-0447.2008.01227.x.
Enhancing synchronizability of weighted dynamical networks using betweenness centralityPhysical Review E. 2008. DOI : 10.1103/PhysRevE.78.016105.
Reducing Synchronization Cost in Weighted Dynamical Networks Using Betweenness Centrality Measures2008. IEEE ISCAS 2008, Seattle, WA, May 18-21, 2008. p. 2522-2525.
Reservoir Optimization in Recurrent Neural Networks using Kronecker Kernels2008. IEEE ISCAS 2008, Seattle, WA, May 18-21, 2008. p. 868-871.
Mixed-domain system representation using Volterra series2008. IEEE ISCAS 2008, Seattle, WA, May 18-21, 2008. p. 572-575. DOI : 10.1109/ISCAS.2008.4541482.
Estimating interdependences in networks of weakly coupled deterministic systemsPhysical Review E. 2008. DOI : 10.1103/PhysRevE.77.026711.
Magneto-thermal finite element modeling of 2nd generation HTS for FCL design purposes2008. 8th European Conference on Applied Superconductivity, Brussels, Belgium, 16-20 September 2007. DOI : 10.1088/1742-6596/97/1/012286.
Digitally Enhanced Analog Circuits: System Aspects2008. Seattle, USA.
Minimum Mean-Square Error Equalization for Second-Order Volterra SystemsIEEE Transactions on Signal Processing. 2008. DOI : 10.1109/TSP.2008.928167.
Evaluation of two commercial finite element packages for calculating AC losses in 2-D high temperature superconducting stripsJournal of Physics: Conference Series. 2008. DOI : 10.1088/1742-6596/97/1/012030.
Magneto-Thermal Modeling of Second-Generation HTS for Resistive Fault Current Limiter Design PurposesIEEE Transactions on Applied Superconductivity. 2008. DOI : 10.1109/TASC.2008.917576.
Nonlinear dynamics of cardiovascular agingLancaster University, 2007.
2D Magneto-Thermal Modeling of Coated High-Temperature Superconductors2007. European COMSOL Conference 2007, Grenoble, France, 23-24 October 2007. p. 273-277.
A Novel Interhemispheric Interaction: Modulation of Neuronal Cooperativity in the Visual AreasPLoS ONE. 2007. DOI : 10.1371/journal.pone.0001287.
A Forward Model of Optic Flow for Detecting External Forces2007. International Robots and Systems, San Diego, October 2007. DOI : 10.1109/IROS.2007.4399014.
Dysconnection Topography in Schizophrenia Revealed with State-Space Analysis of EEGPLoS ONE. 2007. DOI : 10.1371/journal.pone.0001059.
On the Projection Dynamic for Selfish Routing2007. Dresden, Germany.
A Low-Rate Identification Method for Digital Predistorters Based on Volterra Kernel InterpolationAnalog Integrated Circuits and Signal Processing. 2007. DOI : 10.1007/s10470-007-9074-4.
An Adaptive Cellular Nonlinear Network and its Application2007. Vancouver, Canada. p. 15-18.
The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis2007. p. 441-444.
Enseignement & Phd
Life Sciences Engineering
DoctorantsEbli Stefania, Ergus Aras, Garin Adélie Eliane, Hacker Celia Camille, Maggs Kelly Spry, Manna Riddha, Wu Haoqing,
A dirigé les thèses EPFL deAmrani Ilias , Blanc Sylvestre , Brunner Jan , Karpova Varvara , Marcone Rachel , Michel Nicolas , Moser Lyne , Müller Patrick , Naïto Théophile , Oberson Chantal , Rovelli Martina , Sauvageot Orin , Simoncini Fabio , Stephan Marc , Werndli Kay Remo , Zaganidis Dimitri ,
The theme of the working group varies from year to year. Examples of recent topics studied include: Galois theory of ring spectra, duality in algebra and topology, and topological algebraic geometry.