p7math.CA

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math.CA

15 papers

Convergence and Dynamical Behavior of the ADAM Algorithm for Non-Convex Stochastic Optimization

Anas Barakat, Pascal Bianchi

1810.02263

A general system of differential equations to model first order adaptive algorithms

André Belotto da Silva, Maxime Gazeau

1810.13108

Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds

Daryl Geller, Isaac Z. Pesenson

1002.3841

Approximating the Exponential, the Lanczos Method and an \tilde{O}(m)-Time Spectral Algorithm for Balanced Separator

Lorenzo Orecchia, Sushant Sachdeva, Nisheeth K. Vishnoi

1111.1491

Communication lower bounds and optimal algorithms for programs that reference arrays -- Part 1

Michael Christ, James Demmel, Nicholas Knight, Thomas Scanlon, Katherine Yelick

1308.0068

Understanding the Acceleration Phenomenon via High-Resolution Differential Equations

Bin Shi, Simon S. Du, Michael I. Jordan, Weijie J. Su

1810.08907

The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I

Dong Wang

1012.4144

On the largest eigenvalue of a Hermitian random matrix model with spiked external source I. Rank one case

Jinho Baik, Dong Wang

1010.4604

Uniqueness of solutions of stochastic differential equations

A. M. Davie

0709.4147

On the largest eigenvalue of a Hermitian random matrix model with spiked external source II. Higher rank cases

Jinho Baik, Dong Wang

1104.2915

An entropic interpolation proof of the HWI inequality

Ivan Gentil, Christian Léonard, Luigia Ripani, Luca Tamanini

1807.06893

Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes

Marco Bertola, Robert Buckingham, Seung-Yeop Lee, Virgil U. Pierce

1011.4983

Bulk and soft-edge universality for singular values of products of Ginibre random matrices

Dang-Zheng Liu, Dong Wang, Lun Zhang

1412.6777

Asymptotics for Hermite-Pade rational approximants for two analytic functions with separated pairs of branch points (case of genus 0)

A. I. Aptekarev, A. B. J. Kuijlaars, W. Van Assche

0708.0946

A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights

Weijie Su, Stephen Boyd, Emmanuel J. Candes

1503.01243