Leonid Berlyand

Affiliations:
  • Penn State, University Park, USA


According to our database1, Leonid Berlyand authored at least 22 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A novel multi-scale loss function for classification problems in machine learning.
J. Comput. Phys., February, 2024

2023
Enhancing Accuracy in Deep Learning Using Random Matrix Theory.
CoRR, 2023

2021
Self-Propulsion and Shear Flow Align Active Particles in Nozzles and Channels.
Adv. Intell. Syst., 2021

2020
A Kinetic Approach to Active Rods Dynamics in Confined Domains.
Multiscale Model. Simul., 2020

Stability for the Training of Deep Neural Networks and Other Classifiers.
CoRR, 2020

2019
Existence of Superconducting Solutions for a Reduced Ginzburg-Landau Model in the Presence of Strong Electric Currents.
SIAM J. Math. Anal., 2019

2017
Sharp interface limit in a phase field model of cell motility.
Networks Heterog. Media, 2017

2016
Complexity Reduction in Many Particle Systems with Random Initial Data.
SIAM/ASA J. Uncertain. Quantification, 2016

2013
Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes.
Networks Heterog. Media, 2013

A Kinetic Model for Semidilute Bacterial Suspensions.
Multiscale Model. Simul., 2013

2012
Renormalized Ginzburg-Landau energy and location of near boundary vortices.
Networks Heterog. Media, 2012

2010
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates.
Multiscale Model. Simul., 2010

2008
Rise of Correlations of Transformation Strains in Random Polycrystals.
SIAM J. Math. Anal., 2008

Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain.
Networks Heterog. Media, 2008

The homogenized model of small oscillations of complex fluids.
Networks Heterog. Media, 2008

A network model of geometrically constrained deformations of granular materials.
Networks Heterog. Media, 2008

2006
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions.
Networks Heterog. Media, 2006

2005
Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry.
SIAM J. Math. Anal., 2005

2004
Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid.
SIAM J. Appl. Math., 2004

2002
Error of the Network Approximation for Densely Packed Composites with Irregular Geometry.
SIAM J. Math. Anal., 2002

2000
Frequency-Dependent Acoustics of Composites with Interfaces.
SIAM J. Appl. Math., 2000

1999
Homogenization of Harmonic Maps and Superconducting Composites.
SIAM J. Appl. Math., 1999


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