Professor Omer BobrowskiProfessor in Mathematical Data ScienceCentre: Probability, Statistics, and Data ScienceEmail: o.bobrowski@qmul.ac.ukRoom Number: Mathematical Sciences Building, Room: MB-111ProfilePublicationsGrantsProfileOmer Bobrowski is a Professor in Mathematical Data Science. His research primarily centres on stochastic topology and its applications in data analysis. His theoretical work studies phase transitions in stochastic topology and the distribution of noise in applied topological tools. On the applied side, he develops statistical methods for topological data analysis (TDA) and explores the use of TDA in fields such as signal processing and natural language processing.ResearchPublicationsPREPRINTS: [31] Weak Universality in Random Persistent Homology and Scale-Invariant FunctionalsO. Bobrowski and P. Skraba, arXiv:2406.05553 [ arXiv ] [30] Functional Limit Theorems for Local Functionals of Dynamic Point ProcessesE. Onaran, O. Bobrowski, and R. Adler, arXiv:2310:17775 [ arXiv ] PUBLISHED PAPERS: [29] Morse Theory for the k-NN Distance FunctionY. Reani and O. Bobrowski, arXiv:2403:12792 [ Journal ] [ arXiv ] [28] Cluster-Persistence for Weighted GraphsO. Bobrowski and P. Skraba, Entropy 25(12), 1587, 2023 [ Journal ] [ arXiv ] [27] A Coupled Alpha ComplexY. Reani and O. Bobrowski, Journal of Computational Geometry 14(1), 221-256, 2023 [ Journal ] [ arXiv ] [26] A Universal Null-Distribution for Topological Data AnalysisO. Bobrowski and P. Skraba, Scientific Reports 13(1), 12274, 2023 [ Journal ] [ arXiv ] [25] Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic RegimeE. Onaran, O. Bobrowski, and R. Adler,The Annals of Applied Probability, 33(5), 3958-3986, 2023 [ Journal ] [ arXiv ] [24] Cycle Registration in Persistent Homology with Applications in Topological BootstrapY. Reani and O. Bobrowski. IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(5), 5579-5593, 2023 [ Journal ] [ arXiv ] [23] Poisson Process Approximation Under Stabilization and Palm CouplingO. Bobrowski, M. Schulte, D. Yogeshwaran, Annales Henri Lebesgue (5), 1489-1534, 2022 [ Journal ] [ arXiv ] [22] Homological Connectivity in Random Čech ComplexesO. Bobrowski, Probability Theory and Related Fields 183(3-4), 715-788, 2022 [ Journal ] [ arXiv ] [21] Unsupervised Geometric and Topological Approaches for Cross-Lingual Sentence Representation and ComparisonS.H. Meirom and O. Bobrowski, Proceedings of the 7th Workshop on Representation Learning for NLP, 173-183, 2022 [ Journal ] [20] Alarm Sound Detection Using Topological Signal ProcessingT. Fireaizen, S. Ron, and O. Bobrowski, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2022 [ Journal ] [19] On the Spectrum of Dense Random Geometric GraphsK. Adhikari, R. Adler, O. Bobrowski, and R. Rosenthal, The Annals of Applied Probability 32(3), 1734-1773, 2022 [ Journal ] [ arXiv ] [18] Random Simplicial Complexes: Models and Phenomena (Book Chapter)O. Bobrowski and D. Krioukov. High-Order Systems, 59-96, 2022 [ Journal ] [ arXiv ] [17] Homological Percolation: The Formation of Giant k-CyclesO. Bobrowski and P. Skraba, International Mathematics Research Notices 2022(8), 6186-6213, 2022 [ Journal ] [ arXiv ] [16] Joint Geometric and Topological Analysis of Hierarchical DatasetsL. Aloni, O. Bobrowski, and R. Talmon. Joint European Conference on Machine Learning and Knowledge Discovery in Databases (ECML PKDD), 478-493, 2021 [ Journal ] [ arXiv ] [15] Probabilistic Convergence and Stability of Random Mapper GraphsA. Brown, O. Bobrowski, E. Munch, and B. Wang, Journal of Applied and Computational Topology 5, 99-140, 2021. [ Journal ] [ arXiv ] [14] Convergence of Persistence Diagrams for Topological CrackleT. Owada and O. Bobrowski, Bernoulli 26(3), 2275-2310, 2020 [ Journal ] [ arXiv ] [13] Homological Percolation and the Euler CharacteristicO. Bobrowski and P. Skraba, Physical Review E. 101, 032404:1-16, 2020 [ Journal ] [ arXiv ] [12] Random Čech Complexes on Riemannian ManifoldsO. Bobrowski and G. Oliveira, Random Structures & Algorithms 54(3), 373-412, 2019 [ Journal ] [ arXiv ] [11] Topology of Random Geometric Complexes: A SurveyO. Bobrowski and M. Kahle, Journal of Applied and Computational Topology 1(3-4): 331-364, 2018 [ Journal ] [ arXiv ] [10] Maximally Persistent Cycles in Random Geometric ComplexesO. Bobrowski, M. Kahle and P. Skraba, The Annals of Applied Probability 27(4): 2032-2060, 2017 [ Journal ] [ arXiv ] [9] On the Vanishing of Homology in Random Čech ComplexesO. Bobrowski and S. Weinberger, Random Structures & Algorithms 51(1): 14-51, 2017 [ Journal ] [ arXiv ] [8] Topological Consistency via Kernel EstimationO. Bobrowski, S.Mukherjee, and J. Taylor, Bernoulli 23 (1): 288-328, 2017 [ Journal ] [ arXiv ] [7] The Topology of Probability Distributions on ManifoldsO. Bobrowski and S.Mukherjee, Probability Theory and Related Fields 161 (3-4): 651-686, 2015 [ Journal ] [ arXiv ] [6] Crackle: The Homology of NoiseR.J. Adler, O. Bobrowski, and S. Weinberger, Discrete & Computational Geometry 52 (4): 680-704, 2014 [ Journal ] [ arXiv ] [5] Distance Functions, Critical Points and the Topology of Random Čech ComplexesO. Bobrowski and R.J. Adler, Homology, Homotopy and Applications 16 (2): 311-344, 2014 [ Journal ] [ arXiv ] [4] Euler Integration of Gaussian Random Fields and Persistent HomologyO. Bobrowski and M.S. Borman, Journal of Topology and Analysis 4 (01): 49-70, 2012 [ Journal ] [ arXiv ] [3] Persistent Homology for Random Fields and ComplexesR.J. Adler, O. Bobrowski, M.S. Borman, E. Subag, and S. Weinberger, IMS Collections Vol. 6: 124-143, 2010 [ Journal ] [ arXiv ] [2] Bayesian Filtering in Spiking Neural Networks: Noise, Adaptation and Multisensory IntegrationO. Bobrowski, R. Meir, and Y.C. Eldar, Neural Computation 21 (5): 1277-1320, 2009 [ Journal ] [1] A Neural Network Implementing Optimal State Estimation Based on Dynamic Spike Train DecodingO. Bobrowski, R. Meir, S. Shoham, and Y.C. Eldar, Advances in Neural Information Processing Systems (NIPS) 20: 145-152, 2007 [ Journal ] GrantsTopological Phase Transitions in Stochastic GeometryOmer Bobrowski£396,018 EPSRC Engineering and Physical Sciences Research Council (01-04-2024 - 31-03-2027) Universality in Topological Data AnalysisOmer Bobrowski and Primoz Skraba£330,778 Leverhulme Trust (01-02-2024 - 31-01-2027)