Leonid Berlyand

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 9

Top Topics

Complexity Reduction

Top Venues

SIAM/ASA J. Uncertain. Quantification

J. Comput. Phys.

Networks Heterog. Media

Publications

Leonid Berlyand, Robert Creese, Pierre-Emmanuel Jabin
A novel multi-scale loss function for classification problems in machine learning. J. Comput. Phys. 498 (2024)
Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang
Enhancing Accuracy in Deep Learning Using Random Matrix Theory. CoRR (2023)
Leonardo Dominguez Rubio, Mykhailo Potomkin, Remmi Danae Baker, Ayusman Sen, Leonid Berlyand, Igor S. Aranson
Self-Propulsion and Shear Flow Align Active Particles in Nozzles and Channels. Adv. Intell. Syst. 3 (2) (2021)
Leonid Berlyand, Robert Creese, Pierre-Emmanuel Jabin
A novel multi-scale loss function for classification problems in machine learning. CoRR (2021)
Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin, Elzbieta Ratajczyk
A Kinetic Approach to Active Rods Dynamics in Confined Domains. Multiscale Model. Simul. 18 (1) (2020)
Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
Stability for the Training of Deep Neural Networks and Other Classifiers. CoRR (2020)
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, Itai Shafrir
Existence of Superconducting Solutions for a Reduced Ginzburg-Landau Model in the Presence of Strong Electric Currents. SIAM J. Math. Anal. 51 (2) (2019)
Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko
Sharp interface limit in a phase field model of cell motility. Networks Heterog. Media 12 (4) (2017)
Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin
Complexity Reduction in Many Particle Systems with Random Initial Data. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Shawn D. Ryan, Leonid Berlyand, B. M. Haines, D. A. Karpeev
A Kinetic Model for Semidilute Bacterial Suspensions. Multiscale Model. Simul. 11 (4) (2013)
Leonid Berlyand, Volodymyr Rybalko
Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes. Networks Heterog. Media 8 (1) (2013)
Leonid Berlyand, Volodymyr Rybalko, Nung Kwan Yip
Renormalized Ginzburg-Landau energy and location of near boundary vortices. Networks Heterog. Media 7 (1) (2012)
Lei Zhang, Leonid Berlyand, Maxim V. Fedorov, Houman Owhadi
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates. Multiscale Model. Simul. 8 (5) (2010)
K. A. Ariyawansa, Leonid Berlyand, Alexander Panchenko
A network model of geometrically constrained deformations of granular materials. Networks Heterog. Media 3 (1) (2008)
Leonid Berlyand, Oscar Bruno, Alexei Novikov
Rise of Correlations of Transformation Strains in Random Polycrystals. SIAM J. Math. Anal. 40 (4) (2008)
Maksym Berezhnyi, Leonid Berlyand, Evgen Khruslov
The homogenized model of small oscillations of complex fluids. Networks Heterog. Media 3 (4) (2008)
Leonid Berlyand, Petru Mironescu
Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain. Networks Heterog. Media 3 (3) (2008)
Leonid Berlyand, Giuseppe Cardone, Yuliya Gorb, Gregory Panasenko
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Networks Heterog. Media 1 (3) (2006)
Leonid Berlyand, Liliana Borcea, Alexander Panchenko
Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry. SIAM J. Math. Anal. 36 (5) (2005)
Evgen Khruslov, Leonid Berlyand
Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid. SIAM J. Appl. Math. 64 (3) (2004)
Leonid Berlyand, Alexei Novikov
Error of the Network Approximation for Densely Packed Composites with Irregular Geometry. SIAM J. Math. Anal. 34 (2) (2002)
J. F. Clouet, Leonid Berlyand, Marco Avellaneda
Frequency-Dependent Acoustics of Composites with Interfaces. SIAM J. Appl. Math. 60 (6) (2000)
Leonid Berlyand, Evgen Khruslov
Homogenization of Harmonic Maps and Superconducting Composites. SIAM J. Appl. Math. 59 (5) (1999)