Publications related to Statistical Aspects of Wasserstein Distances

Multivariate extremes over a random number of observations

The classical multivariate extreme-value theory concerns the modeling of extremes in a multivariate random sample, suggesting the use of max-stable distributions. In this work, the classical theory is extended to the case where aggregated data, such as max ...

WILEY2020

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

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

From Data to Decisions: Distributionally Robust Optimization is Optimal

Daniel Kuhn, Peyman Mohajerin Esfahani

We study stochastic programs where the decision-maker cannot observe the distribution of the exogenous uncertainties but has access to a finite set of independent samples from this distribution. In this setting, the goal is to find a procedure that transfo ...

2020

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

Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

Jan Sickmann Hesthaven, Caterina Bigoni

We propose a simulation-based decision strategy for the proactive maintenance of complex structures with a particular application to structural health monitoring (SHM). The strategy is based on a data-driven approach which exploits an offline-online decomp ...

2020

Gamma Knife radiosurgery for acromegaly: Evaluating the role of the biological effective dose associated with endocrine remission in a series of 42 consecutive cases

Constantin Tuleasca

Introduction Stereotactic radiosurgery (SRS) is a valuable treatment option for persistent and/or recurrent acromegaly secondary to growth hormone (GH) secreting pituitary adenoma (PA). Here, we assess the role of biological effective dose (BED) received b ...

2020

Equal Loss Distribution in Duty-Cycle Controlled H-Bridge LLC Resonant Converters

Drazen Dujic, Jakub Kucka

The duty-cycle control is a popular option for current limiting in LLC resonant converters. Such current limiting is required to protect the converter either during the start-up or during an overload. Although this method proved to be effective, the switch ...

2020

Statistical Fatigue Investigation and Failure Prediction of a Healable Composite System

Véronique Michaud, Amaël Maximilien Cohades

Fiber reinforced polymers are massively used as an alternative to metals in structural applications. The brittle nature of their matrix, however, makes them more susceptible to crack formation and propagation resulting in costly repair operations and incre ...

2020

Context Mover's Distance & Barycenters: Optimal Transport of Contexts for Building Representations

Martin Jaggi, Aymeric Daphnis Kévin Dieuleveut, Sidak Pal Singh, Andreas Hug

We present a framework for building unsupervised representations of entities and their compositions, where each entity is viewed as a probability distribution rather than a vector embedding. In particular, this distribution is supported over the contexts w ...

ADDISON-WESLEY PUBL CO2020

Statistical Aspects of Wasserstein Distances

Graph Chatbot

Chat with Graph Search

Multivariate extremes over a random number of observations

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

Robust Generalization via $\alpha$-Mutual Information

From Data to Decisions: Distributionally Robust Optimization is Optimal

The Cost of Scaling a Reliable Interconnection Topology

Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

Gamma Knife radiosurgery for acromegaly: Evaluating the role of the biological effective dose associated with endocrine remission in a series of 42 consecutive cases

Equal Loss Distribution in Duty-Cycle Controlled H-Bridge LLC Resonant Converters

Statistical Fatigue Investigation and Failure Prediction of a Healable Composite System

Context Mover's Distance & Barycenters: Optimal Transport of Contexts for Building Representations

Robust Generalization via $\alpha$-Mutual Information

Gamma Knife radiosurgery for acromegaly: Evaluating the role of the biological effective dose associated with endocrine remission in a series of 42 consecutive cases

Statistical Fatigue Investigation and Failure Prediction of a Healable Composite System

Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

Equal Loss Distribution in Duty-Cycle Controlled H-Bridge LLC Resonant Converters

Context Mover's Distance & Barycenters: Optimal Transport of Contexts for Building Representations

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

Multivariate extremes over a random number of observations

From Data to Decisions: Distributionally Robust Optimization is Optimal

The Cost of Scaling a Reliable Interconnection Topology