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ORCIDLeonid Berlyand
Person information
- affiliation: Penn State, University Park, USA
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2020 – today
- 2024
[j20]Leonid Berlyand, Robert Creese
, Pierre-Emmanuel Jabin:
A novel multi-scale loss function for classification problems in machine learning. J. Comput. Phys. 498: 112679 (2024)- 2023
- [i3]Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang:
Enhancing Accuracy in Deep Learning Using Random Matrix Theory. CoRR abs/2310.03165 (2023) - 2021
- [j19]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): 2000178 (2021) - [i2]Leonid Berlyand, Robert Creese, Pierre-Emmanuel Jabin:
A novel multi-scale loss function for classification problems in machine learning. CoRR abs/2106.02676 (2021) - 2020
- [j18]Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin, Elzbieta Ratajczyk:
A Kinetic Approach to Active Rods Dynamics in Confined Domains. Multiscale Model. Simul. 18(1): 1-20 (2020) - [i1]Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten:
Stability for the Training of Deep Neural Networks and Other Classifiers. CoRR abs/2002.04122 (2020)
2010 – 2019
- 2019
- [j17]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): 873-912 (2019) - 2017
- [j16]Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko:
Sharp interface limit in a phase field model of cell motility. Networks Heterog. Media 12(4): 551-590 (2017) - 2016
- [j15]Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin:
Complexity Reduction in Many Particle Systems with Random Initial Data. SIAM/ASA J. Uncertain. Quantification 4(1): 446-474 (2016) - 2013
- [j14]Shawn D. Ryan, Leonid Berlyand, Brian M. Haines, D. A. Karpeev:
A Kinetic Model for Semidilute Bacterial Suspensions. Multiscale Model. Simul. 11(4): 1176-1196 (2013) - [j13]Leonid Berlyand, Volodymyr Rybalko:
Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes. Networks Heterog. Media 8(1): 115-130 (2013) - 2012
- [j12]Leonid Berlyand, Volodymyr Rybalko, Nung Kwan Yip:
Renormalized Ginzburg-Landau energy and location of near boundary vortices. Networks Heterog. Media 7(1): 179-196 (2012) - 2010
- [j11]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): 1958-1980 (2010)
2000 – 2009
- 2008
- [j10]K. A. Ariyawansa, Leonid Berlyand, Alexander Panchenko:
A network model of geometrically constrained deformations of granular materials. Networks Heterog. Media 3(1): 125-148 (2008) - [j9]Leonid Berlyand, Petru Mironescu:
Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain. Networks Heterog. Media 3(3): 461-487 (2008) - [j8]Maksym Berezhnyi, Leonid Berlyand, Evgen Khruslov:
The homogenized model of small oscillations of complex fluids. Networks Heterog. Media 3(4): 831-862 (2008) - [j7]Leonid Berlyand, Oscar Bruno, Alexei Novikov:
Rise of Correlations of Transformation Strains in Random Polycrystals. SIAM J. Math. Anal. 40(4): 1550-1584 (2008) - 2006
- [j6]Leonid Berlyand, Giuseppe Cardone, Yuliya Gorb, Gregory Panasenko:
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Networks Heterog. Media 1(3): 353-377 (2006) - 2005
- [j5]Leonid Berlyand, Liliana Borcea, Alexander Panchenko:
Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry. SIAM J. Math. Anal. 36(5): 1580-1628 (2005) - 2004
- [j4]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): 1002-1034 (2004) - 2002
- [j3]Leonid Berlyand, Alexei Novikov:
Error of the Network Approximation for Densely Packed Composites with Irregular Geometry. SIAM J. Math. Anal. 34(2): 385-408 (2002) - 2000
- [j2]J. F. Clouet, Leonid Berlyand, Marco Avellaneda:
Frequency-Dependent Acoustics of Composites with Interfaces. SIAM J. Appl. Math. 60(6): 2143-2181 (2000)
1990 – 1999
- 1999
- [j1]Leonid Berlyand, Evgen Khruslov:
Homogenization of Harmonic Maps and Superconducting Composites. SIAM J. Appl. Math. 59(5): 1892-1916 (1999)
Coauthor Index
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