Fixed Points of Deep Neural Networks: Emergence, Stability, and Applications. - Berlyand, Leonid; Slavin, V. (CoRR, 2025)

A novel multi-scale loss function for classification problems in machine learning. - Berlyand, Leonid; Creese, Robert; Jabin, Pierre-Emmanuel (J. Comput. Phys., 2024)

Enhancing Accuracy in Deep Learning Using Random Matrix Theory. - Berlyand, Leonid; Sandier, Etienne; Shmalo, Yitzchak; Zhang, Lei (CoRR, 2023)

Self-Propulsion and Shear Flow Align Active Particles in Nozzles and Channels. - Rubio, Leonardo Dominguez; Potomkin, Mykhailo; Baker, Remmi Danae; Sen, Ayusman; Berlyand, Leonid; Aranson, Igor S. (Adv. Intell. Syst., 2021)

A novel multi-scale loss function for classification problems in machine learning. - Berlyand, Leonid; Creese, Robert; Jabin, Pierre-Emmanuel (CoRR, 2021)

A Kinetic Approach to Active Rods Dynamics in Confined Domains. - Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo; Ratajczyk, Elzbieta (Multiscale Model. Simul., 2020)

Stability for the Training of Deep Neural Networks and Other Classifiers. - Berlyand, Leonid; Jabin, Pierre-Emmanuel; Safsten, C. Alex (CoRR, 2020)

Existence of Superconducting Solutions for a Reduced Ginzburg-Landau Model in the Presence of Strong Electric Currents. - Almog, Yaniv; Berlyand, Leonid; Golovaty, Dmitry; Shafrir, Itai (SIAM J. Math. Anal., 2019)

Sharp interface limit in a phase field model of cell motility. - Berlyand, Leonid; Potomkin, Mykhailo; Rybalko, Volodymyr (Networks Heterog. Media, 2017)

Complexity Reduction in Many Particle Systems with Random Initial Data. - Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo (SIAM/ASA J. Uncertain. Quantification, 2016)

A Kinetic Model for Semidilute Bacterial Suspensions. - Ryan, Shawn D.; Berlyand, Leonid; Haines, Brian M.; Karpeev, D. A. (Multiscale Model. Simul., 2013)

Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes. - Berlyand, Leonid; Rybalko, Volodymyr (Networks Heterog. Media, 2013)

Renormalized Ginzburg-Landau energy and location of near boundary vortices. - Berlyand, Leonid; Rybalko, Volodymyr; Yip, Nung Kwan (Networks Heterog. Media, 2012)

Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates. - Zhang, Lei; Berlyand, Leonid; Fedorov, Maxim V.; Owhadi, Houman (Multiscale Model. Simul., 2010)

A network model of geometrically constrained deformations of granular materials. - Ariyawansa, K. A.; Berlyand, Leonid; Panchenko, Alexander (Networks Heterog. Media, 2008)

Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain. - Berlyand, Leonid; Mironescu, Petru (Networks Heterog. Media, 2008)

The homogenized model of small oscillations of complex fluids. - Berezhnyi, Maksym; Berlyand, Leonid; Khruslov, Evgen (Networks Heterog. Media, 2008)

Rise of Correlations of Transformation Strains in Random Polycrystals. - Berlyand, Leonid; Bruno, Oscar; Novikov, Alexei (SIAM J. Math. Anal., 2008)

Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. - Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory (Networks Heterog. Media, 2006)

Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry. - Berlyand, Leonid; Borcea, Liliana; Panchenko, Alexander (SIAM J. Math. Anal., 2005)

Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid. - Khruslov, Evgen; Berlyand, Leonid (SIAM J. Appl. Math., 2004)

Error of the Network Approximation for Densely Packed Composites with Irregular Geometry. - Berlyand, Leonid; Novikov, Alexei (SIAM J. Math. Anal., 2002)

Frequency-Dependent Acoustics of Composites with Interfaces. - Clouet, J. F.; Berlyand, Leonid; Avellaneda, Marco (SIAM J. Appl. Math., 2000)

Homogenization of Harmonic Maps and Superconducting Composites. - Berlyand, Leonid; Khruslov, Evgen (SIAM J. Appl. Math., 1999)