Leonid Berlyand

27 papers Journal 27

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Random weights of DNNs and emergence of fixed points. Networks Heterog. Media Leonid Berlyand, O. Krupchytskyi, V. Slavin
2025	J	`jnl`	Asymptotic behavior of eigenvalues of large rank perturbations of large random matrices. CoRR Ievgenii Afanasiev, Leonid Berlyand, Mariia Kiyashko
2025	J	`jnl`	Fixed Points of Deep Neural Networks: Emergence, Stability, and Applications. CoRR Leonid Berlyand, V. Slavin
2025	J	`jnl`	Pruning Deep Neural Networks via a Combination of the Marchenko-Pastur Distribution and Regularization. CoRR Leonid Berlyand, Théo Bourdais, Houman Owhadi, Yitzchak Shmalo
2024	J	`jnl`	A novel multi-scale loss function for classification problems in machine learning. J. Comput. Phys. Leonid Berlyand, Robert Creese, Pierre-Emmanuel Jabin
2023	J	`jnl`	Enhancing Accuracy in Deep Learning Using Random Matrix Theory. CoRR Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang
2021	J	`jnl`	A novel multi-scale loss function for classification problems in machine learning. CoRR Leonid Berlyand, Robert Creese, Pierre-Emmanuel Jabin
2021	J	`jnl`	Self-Propulsion and Shear Flow Align Active Particles in Nozzles and Channels. Adv. Intell. Syst. Leonardo Dominguez Rubio, Mykhailo Potomkin, Remmi Danae Baker, Ayusman Sen, Leonid Berlyand, Igor S. Aranson
2020	J	`jnl`	A Kinetic Approach to Active Rods Dynamics in Confined Domains. Multiscale Model. Simul. Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin, Elzbieta Ratajczyk
2020	J	`jnl`	Stability for the Training of Deep Neural Networks and Other Classifiers. CoRR Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
2019	J	`jnl`	Existence of Superconducting Solutions for a Reduced Ginzburg-Landau Model in the Presence of Strong Electric Currents. SIAM J. Math. Anal. Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, Itai Shafrir
2017	J	`jnl`	Sharp interface limit in a phase field model of cell motility. Networks Heterog. Media Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko
2016	J	`jnl`	Complexity Reduction in Many Particle Systems with Random Initial Data. SIAM/ASA J. Uncertain. Quantification Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin
2013	J	`jnl`	A Kinetic Model for Semidilute Bacterial Suspensions. Multiscale Model. Simul. Shawn D. Ryan, Leonid Berlyand, Brian M. Haines, D. A. Karpeev
2013	J	`jnl`	Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes. Networks Heterog. Media Leonid Berlyand, Volodymyr Rybalko
2012	J	`jnl`	Renormalized Ginzburg-Landau energy and location of near boundary vortices. Networks Heterog. Media Leonid Berlyand, Volodymyr Rybalko, Nung Kwan Yip
2010	J	`jnl`	Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates. Multiscale Model. Simul. Lei Zhang, Leonid Berlyand, Maxim V. Fedorov, Houman Owhadi
2008	J	`jnl`	A network model of geometrically constrained deformations of granular materials. Networks Heterog. Media K. A. Ariyawansa, Leonid Berlyand, Alexander Panchenko
2008	J	`jnl`	Rise of Correlations of Transformation Strains in Random Polycrystals. SIAM J. Math. Anal. Leonid Berlyand, Oscar Bruno, Alexei Novikov
2008	J	`jnl`	The homogenized model of small oscillations of complex fluids. Networks Heterog. Media Maksym Berezhnyi, Leonid Berlyand, Evgen Khruslov
2008	J	`jnl`	Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain. Networks Heterog. Media Leonid Berlyand, Petru Mironescu
2006	J	`jnl`	Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Networks Heterog. Media Leonid Berlyand, Giuseppe Cardone, Yuliya Gorb, Gregory Panasenko
2005	J	`jnl`	Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry. SIAM J. Math. Anal. Leonid Berlyand, Liliana Borcea, Alexander Panchenko
2004	J	`jnl`	Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid. SIAM J. Appl. Math. Evgen Khruslov, Leonid Berlyand
2002	J	`jnl`	Error of the Network Approximation for Densely Packed Composites with Irregular Geometry. SIAM J. Math. Anal. Leonid Berlyand, Alexei Novikov
2000	J	`jnl`	Frequency-Dependent Acoustics of Composites with Interfaces. SIAM J. Appl. Math. J. F. Clouet, Leonid Berlyand, Marco Avellaneda
1999	J	`jnl`	Homogenization of Harmonic Maps and Superconducting Composites. SIAM J. Appl. Math. Leonid Berlyand, Evgen Khruslov