Publications related to Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

A class of deep Boltzmann machines is considered in the simplified framework of a quenched system with Gaussian noise and independent entries. The quenched pressure of a K-layers spin glass model is studied allowing interactions only among consecutive laye ...

2021

A first-order primal-dual method with adaptivity to local smoothness

Volkan Cevher, Maria-Luiza Vladarean

We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

2021

Convex Combination of Diffusion Strategies Over Networks

Ali H. Sayed, Jie Chen

Combining diffusion strategies with complementary properties enables enhanced performance when they can be run simultaneously. In this article, we first propose two schemes for the convex combination of two diffusion strategies, namely, the power-normalize ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

Matthieu Martin Jean-André Simeoni

Many scientific inquiries in natural sciences involve approximating a spherical field -namely a scalar quantity defined over a continuum of directions- from generalised samples of the latter (e.g. directional samples, local averages, etc). Such an approxim ...

EPFL2020

A simple proof for a forbidden subposet problem

Abhishek Methuku

The poset Y-k,Y-2 consists of k + 2 distinct elements x(1), x(2), ..., x(k), y(1), y(2), such that x(1)

ELECTRONIC JOURNAL OF COMBINATORICS2020

Learning Generalized Nash Equilibria in a Class of Convex Games

Maryam Kamgarpour

We consider multiagent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we propose a novel dis ...

2019

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Emilio Maddalena

The problem of allocating the closed-loop poles of linear systems in specific regions of the complex plane defined by discrete time-domain requirements is addressed. The resulting non-convex set is inner-approximated by a convex region described with linea ...

2019

A lower bound on opaque sets

János Pach

It is proved that the total length of any set of countably many rectifiable curves whose union meets all straight lines that intersect the unit square U is at least 2.00002. This is the first improvement on the lower bound of 2 known since 1964. A similar ...

ELSEVIER SCIENCE BV2019

Generalized convex hull construction for materials discovery

Michele Ceriotti, Edgar Albert Engel, Andrea Anelli

Searching for novel materials involves identifying potential candidates and selecting those that have desirable properties and facile synthesis. It is relatively easy to generate large numbers of potential candidates, for instance, by computational searche ...

2018

Optical Tomography Based On A Nonlinear Model That Handles Multiple Scattering

Michaël Unser, Demetri Psaltis, Ulugbek Kamilov, Alexandre Goy, Joowon Lim

Learning Tomography (LT) is a nonlinear optimization algorithm for computationally imaging three-dimensional (3D) distribution of the refractive index in semi-transparent samples. Since the energy function in LT is generally non-convex, the solution it obt ...

Ieee2017

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

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Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

A first-order primal-dual method with adaptivity to local smoothness

Convex Combination of Diffusion Strategies Over Networks

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

A simple proof for a forbidden subposet problem

Learning Generalized Nash Equilibria in a Class of Convex Games

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

A lower bound on opaque sets

Generalized convex hull construction for materials discovery

Optical Tomography Based On A Nonlinear Model That Handles Multiple Scattering

A first-order primal-dual method with adaptivity to local smoothness

Functional Inverse Problems on Spheres: Theory, Algorithms and Applications

A simple proof for a forbidden subposet problem

Learning Generalized Nash Equilibria in a Class of Convex Games

Convex Combination of Diffusion Strategies Over Networks

A lower bound on opaque sets

Deep Boltzmann Machines: Rigorous Results at Arbitrary Depth

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Generalized convex hull construction for materials discovery

Optical Tomography Based On A Nonlinear Model That Handles Multiple Scattering