Publications: Dr Omer Bobrowski

Bobrowski O, Yogeshwaran D ( 2024 ) . Advances in random topology . Journal of Applied and Computational Topology vol. 8 , ( 6 ) 1445 - 1448 .

Reani Y, Bobrowski O ( 2024 ) . Morse Theory for the k-NN Distance Function . Leibniz International Proceedings in Informatics, LIPIcs . vol. 293 ,

Bobrowski O, Skraba P ( 2023 ) . Cluster Persistence for Weighted Graphs . Entropy vol. 25 , ( 12 )

Reani Y, Bobrowski O ( 2023 ) . A COUPLED ALPHA COMPLEX . Journal of Computational Geometry vol. 14 , ( 1 ) 221 - 256 .

Onaran E, Bobrowski O, Adler RJ ( 2023 ) . Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic Regime . Annals of Applied Probability vol. 33 , ( 5 ) 3958 - 3986 .

Bobrowski O, Skraba P ( 2023 ) . A universal null-distribution for topological data analysis . Scientific Reports vol. 13 , ( 1 )

Brown A, Bobrowski O, Munch E, Wang B ( 2022 ) . Probabilistic convergence and stability of random mapper graphs . Journal of Applied and Computational Topology vol. 5 , Article 1 , 99 - 140 .

Bobrowski O, Schulte M, Yogeshwaran D ( 2022 ) . Poisson process approximation under stabilization and Palm coupling . Annales Henri Lebesgue vol. 5 , 1489 - 1534 .

Reani Y, Bobrowski O ( 2022 ) . Cycle Registration in Persistent Homology with Applications in Topological Bootstrap . IEEE Transactions on Pattern Analysis and Machine Intelligence vol. PP ,

Bobrowski O ( 2022 ) . Homological connectivity in random Čech complexes . Probability Theory and Related Fields vol. 183 , ( 3-4 ) 715 - 788 .

Adhikari K, Adler RJ, Bobrowski O, Rosenthal R ( 2022 ) . On the spectrum of dense random geometric graphs . Annals of Applied Probability vol. 32 , ( 3 )

Fireaizen T, Ron S, Bobrowski O ( 2022 ) . Alarm Sound Detection Using Topological Signal Processing . Conference: ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) vol. 00 , 211 - 215 .

Bobrowski O, Krioukov D ( 2022 ) . Random Simplicial Complexes: Models and Phenomena . Higher-Order Systems , Editors: BATTISTON, F, Petri, G , Edition. 1 , Springer, Cham

Haim Meirom S, Bobrowski O ( 2022 ) . Unsupervised Geometric and Topological Approaches for Cross-Lingual Sentence Representation and Comparison . Conference: Proceedings of the 7th Workshop on Representation Learning for NLP173 - 183 .

Aloni L, Bobrowski O, Talmon R ( 2021 ) . Joint Geometric and Topological Analysis of Hierarchical Datasets . https://link.springer.com/chapter/10.1007/978-3-030-86523-8_29 . Conference: ECML PKDD 2021

Skraba P, Bobrowski O ( 2020 ) . Homological Percolation: The Formation of Giant k-Cycles . International Mathematics Research Notices vol. 2022 , ( 8 ) Article 6019979 , 6186 - 6213 .

Bobrowski O, Skraba P ( 2020 ) . Homological percolation and the Euler characteristic . Physical Review E vol. 101 , ( 3 )

Owada T, Bobrowski O ( 2020 ) . Convergence of persistence diagrams for topological crackle . Bernoulli vol. 26 , Article 3 , 2275 - 2310 .

Bobrowski O, Oliveira G ( 2019 ) . Random \v Cech Complexes on Riemannian Manifolds . Random Structures & Algorithms vol. 54 , Article 3 , 373 - 412 .

Bobrowski O, Kahle M ( 2018 ) . Topology of random geometric complexes: a survey . Journal of Applied and Computational Topology vol. 1 , Article 3 , 331 - 364 .

Bobrowski O, Kahle M, Skraba P ( 2017 ) . Maximally persistent cycles in random geometric complexes . The Annals of Applied Probability vol. 27 , ( 4 ) 2032 - 2060 .

Bobrowski O, Mukherjee S, Taylor JE ( 2017 ) . Topological consistency via kernel estimation . Bernoulli vol. 23 , Article 1 , 288 - 328 .

Bobrowski O, Weinberger S ( 2017 ) . On the vanishing of homology in random \v Cech complexes . Random Structures & Algorithms vol. 51 , Article 1 , 14 - 51 .

Adler RJ, Bobrowski O, Weinberger S ( 2014 ) . Crackle: The Homology of Noise . Discrete & Computational Geometry vol. 52 , Article 4 , 680 - 704 .

Bobrowski O, Adler RJ ( 2014 ) . Distance functions, critical points, and the topology of random \v Cech complexes . Homology, Homotopy and Applications vol. 16 , Article 2 , 311 - 344 .

Bobrowski O, Mukherjee S ( 2014 ) . The topology of probability distributions on manifolds . Probability Theory and Related Fields vol. 161 , Article 3-4 , 651 - 686 .

Bobrowski O, Borman MS ( 2012 ) . Euler integration of gaussian random fields and persistent homology . Journal of Topology and Analysis vol. 4 , Article 01 , 49 - 70 .

Adler RJ, Bobrowski O, Borman MS, Subag E, Weinberger S ( 2010 ) . Persistent homology for random fields and complexes . Borrowing Strength: Theory Powering Applications–A Festschrift for Lawrence D. Brown , Institute of Mathematical Statistics

Bobrowski O, Meir R, Eldar YC ( 2009 ) . Bayesian filtering in spiking neural networks: Noise, adaptation, and multisensory integration . Neural computation vol. 21 , Article 5 , 1277 - 1320 .

Bobrowski O, Meir R, Shoham S, Eldar Y ( 2007 ) . A neural network implementing optimal state estimation based on dynamic spike train decoding . Advances in Neural Information Processing Systems . 145 - 152 .