Publications related to Trigonometric Functions, Logarithms and Exponentials

Multiplicative chaos of the Brownian loop soup

Antoine Pierre François Jego, Titus Lupu

We construct a measure on the thick points of a Brownian loop soup in a bounded domain D

D

of the plane with given intensity theta>0

\theta >0

, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...

WILEY2023

GAP: Differentially Private Graph Neural Networks with Aggregation Perturbation

Daniel Gatica-Perez, Sina Sajadmanesh

In this paper, we study the problem of learning Graph Neural Networks (GNNs) with Differential Privacy (DP). We propose a novel differentially private GNN based on Aggregation Perturbation (GAP), which adds stochastic noise to the GNN's aggregation functio ...

Berkeley2023

Graph-based approximate message passing iterations

Raphaël Jean Berthier

Approximate message passing (AMP) algorithms have become an important element of high-dimensional statistical inference, mostly due to their adaptability and concentration properties, the state evolution (SE) equations. This is demonstrated by the growing ...

OXFORD UNIV PRESS2023

Scalable Computation of Dynamic Flow Problems via Multimarginal Graph-Structured Optimal Transport

Isabel Haasler, Axel Ringh, Yiqiang Chen

In this work, we develop a new framework for dynamic network flow pro-blems based on optimal transport theory. We show that the dynamic multicommodity minimum-cost network flow problem can be formulated as a multimarginal optimal transport problem, where t ...

2023

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Robert Dalang, Carsten Hao Ye Chong

We consider a class of parabolic stochastic PDEs on bounded domains D c Rd that includes the stochastic heat equation but with a fractional power gamma of the Laplacian. Viewing the solution as a process with values in a scale of fractional Sobolev spaces ...

INT STATISTICAL INST2023

GRAMM: Fast CGRA Application Mapping Based on A Heuristic for Finding Graph Minors

Mirjana Stojilovic, Guanglei Zhou

A graph H is a minor of a second graph G if G can be transformed into H by two operations: 1) deleting nodes and/or edges, or 2) contracting edges. Coarse-grained reconfigurable array (CGRA) application mapping is closely related to the graph minor problem ...

2023

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod

The transmission eigenvalue problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. In this work, we establish the Weyl law for the eigenvalues and the completeness of the generalized eigenf ...

Philadelphia2023

Geographic clusters of objectively measured physical activity and the characteristics of their built environment in a Swiss urban area

Stéphane Joost, Idris Guessous, Marco André Vieira Ruas, Cédric Gubelmann

Introduction Evidence suggests that the built environment can influence the intensity of physical activity. However, despite the importance of the geographic context, most of the studies do not consider the spatial framework of this association. We aimed t ...

PUBLIC LIBRARY SCIENCE2022

Neural Energy Casimir Control for Port-Hamiltonian Systems

Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu

The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose computation are gener ...

2022

Finite Littlestone Dimension Implies Finite Information Complexity

Michael Christoph Gastpar, Aditya Pradeep, Ido Nachum

We prove that every online learnable class of functions of Littlestone dimension d admits a learning algorithm with finite information complexity. Towards this end, we use the notion of a globally stable algorithm. Generally, the information complexity of ...

2022

Trigonometric Functions, Logarithms and Exponentials

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Multiplicative chaos of the Brownian loop soup

GAP: Differentially Private Graph Neural Networks with Aggregation Perturbation

Graph-based approximate message passing iterations

Scalable Computation of Dynamic Flow Problems via Multimarginal Graph-Structured Optimal Transport

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

GRAMM: Fast CGRA Application Mapping Based on A Heuristic for Finding Graph Minors

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Geographic clusters of objectively measured physical activity and the characteristics of their built environment in a Swiss urban area

Neural Energy Casimir Control for Port-Hamiltonian Systems

Finite Littlestone Dimension Implies Finite Information Complexity

Finite Littlestone Dimension Implies Finite Information Complexity

GAP: Differentially Private Graph Neural Networks with Aggregation Perturbation

Scalable Computation of Dynamic Flow Problems via Multimarginal Graph-Structured Optimal Transport

Graph-based approximate message passing iterations

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Geographic clusters of objectively measured physical activity and the characteristics of their built environment in a Swiss urban area

Multiplicative chaos of the Brownian loop soup

GRAMM: Fast CGRA Application Mapping Based on A Heuristic for Finding Graph Minors

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Neural Energy Casimir Control for Port-Hamiltonian Systems