Publications related to Degrees of freedom of sparsely connected wireless networks

Influence of advanced footwear technology on sub-2 hour marathon and other top running performances

Raphaël Gérard Théodore Michel Marie de Deloÿe et Fourcade de Fondeville

In 2019, Eliud Kipchoge ran a sub-two hour marathon wearing Nike's Alphafly shoes. Despite being the fastest marathon time ever recorded, it wasn't officially recognized as race conditions were tightly controlled to maximize his success. Besides, Kipchoge' ...

WALTER DE GRUYTER GMBH2022

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Florian Karl Richter

Let T be a measure-preserving Zℓ-action on the probability space (X,B,μ), let q1,…,qm:R→Rℓ be vector polynomials, and let f0,…,fm∈L∞⁡(X). For any ϵ>0 and multicorrelation sequences of the form α⁡(n)=∫Xf0⋅T⌊q1⁡(n)⌋⁢f1⋯T⌊qm⁡(n)⌋⁢fmd⁢μ we show that there exis ...

2021

The Cost of Scaling a Reliable Interconnection Topology

Rachid Guerraoui, Alexandre David Olivier Maurer

In distributed computing, many papers try to evaluate the message complexity of a distributed system as a function of the number of nodes n. But what about the cost of building the distributed system itself? Assuming that we want to reliably connect n node ...

2020

Robust Generalization via $\alpha$-Mutual Information

Michael Christoph Gastpar, Amedeo Roberto Esposito, Ibrahim Issa

The aim of this work is to provide bounds connecting two probability measures of the same event using Rényi

\alpha

-Divergences and Sibson’s

\alpha

-Mutual Information, a generalization of respectively the Kullback-Leibler Divergence and Shannon’s Mutual ...

ETHZ2020

On the Almost Sure Convergence of Stochastic Gradient Descent in Non-Convex Problems

Volkan Cevher, Ali Kavis, Shaul Nadav Hallak

This paper analyzes the trajectories of stochastic gradient descent (SGD) to help understand the algorithm’s convergence properties in non-convex problems. We first show that the sequence of iterates generated by SGD remains bounded and converges with prob ...

2020

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Paolo Perona, Giulio Calvani

The growth and establishment of riparian vegetation on river bedforms is of hydrological as well as ecological importance as it helps in enhancing spatial heterogeneity and thus the biodiversity of river corridors. Yet, during floods, flow drag and scourin ...

AGU2019

Statistical Aspects of Wasserstein Distances

Victor Panaretos, Yoav Zemel

Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover th ...

ANNUAL REVIEWS2019

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Daniel Kuhn, Viet Anh Nguyen, Soroosh Shafieezadeh Abadeh, Wolfram Wiesemann

The likelihood function is a fundamental component in Bayesian statistics. However, evaluating the likelihood of an observation is computationally intractable in many applications. In this paper, we propose a non-parametric approximation of the likelihood ...

2019

Blockage of driftwood and resulting head increase upstream of an ogee spillway with piers

Anton Schleiss, Michael Pfister, José Pedro Gamito de Saldanha Calado Matos, Paloma Furlan

Accumulations of floating debris in reservoirs can have negative impacts on the safe operation of a dam. Thus, adequate spillway design in view of driftwood is of paramount importance. Herein, investigation of driftwood blockage with a reservoir flow appro ...

Canadian Dam Association2019

Gaplessness is not generic for translation-invariant spin chains

Marius Christopher Lemm

The existence of a spectral gap above the ground state has far-reaching consequences for the low-energy physics of a quantum many-body system. A recent work of Movassagh [R. Movassagh, Phys. Rev. Lett. 119, 220504 (2017)] shows that a spatially random loca ...

2019

Degrees of freedom of sparsely connected wireless networks

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Influence of advanced footwear technology on sub-2 hour marathon and other top running performances

Structure of multicorrelation sequences with integer part polynomial iterates along primes

The Cost of Scaling a Reliable Interconnection Topology

Robust Generalization via $\alpha$-Mutual Information

On the Almost Sure Convergence of Stochastic Gradient Descent in Non-Convex Problems

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

Statistical Aspects of Wasserstein Distances

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Blockage of driftwood and resulting head increase upstream of an ogee spillway with piers

Gaplessness is not generic for translation-invariant spin chains

Optimistic Distributionally Robust Optimization for Nonparametric Likelihood Approximation

Influence of advanced footwear technology on sub-2 hour marathon and other top running performances

Statistical Aspects of Wasserstein Distances

Blockage of driftwood and resulting head increase upstream of an ogee spillway with piers

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Gaplessness is not generic for translation-invariant spin chains

Extracting the Critical Rooting Length in Plant Uprooting by Flow From Pullout Experiments

The Cost of Scaling a Reliable Interconnection Topology

On the Almost Sure Convergence of Stochastic Gradient Descent in Non-Convex Problems

Robust Generalization via $\alpha$-Mutual Information