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Statistical Aspects of Wasserstein Distances

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Jigsaw: Efficient Optimization Over Uncertain Enterprise Data

Probabilistic databases, in particular ones that allow users to externally define models or probability distributions – so called VG-Functions – are an ideal tool for constructing, simulating and analyzing hypothetical business scenarios. Enterprises often ...

2011

Quantum fluctuations of one-dimensional free fermions and Fisher-Hartwig formula for Toeplitz determinants

We revisit the problem of finding the probability distribution of a fermionic number of one-dimensional spinless free fermions on a segment of a given length. The generating function for this probability distribution can be expressed as a determinant of a ...

2011

Probability distribution of steady-state errors and adaptation over networks

Ali H. Sayed

In this work, we derive a near-optimal combination rule for adaptation over networks. To do so, we first establish a useful result pertaining to the steady-state distribution of the estimator of an LMS filter. Specifically, under small step-sizes and some ...

IEEE2011

Statistics for the Clinician: Diagnostic Questionnaires

The goal of this column is to help working clinicians understand the statistical calculations involved in interpreting the results of diagnostic questionnaires. Using the Patient Health Questionnaire-9 as an example, the author explains how to determine th ...

2011

The Contact Process

Daniel Rodrigues Valesin

This work is a study of three interacting particle systems that are modified versions of the contact process. The contact process is a spin system defined on a graph and is commonly taken as a model for the spread of an infection in a population; transmiss ...

EPFL2011

Prescription-induced jump distributions in multiplicative Poisson processes

Andrea Rinaldo, Samir Suweis, Amos Maritan

Generalized Langevin equations (GLE) with multiplicative white Poisson noise pose the usual prescription dilemma leading to different evolution equations (master equations) for the probability distribution. Contrary to the case of multiplicative gaussian w ...

2011

Ecohydrological Footprints

Samir Suweis

Ecohydrological footprints are defined as the response of ecosystem functions or services to changes in their hydrologic drivers. In this thesis, several diverse footprints are addressed: noise-driven effects on storage-discharge relations and catchment st ...

EPFL2011

Fuzzy Prophet: Parameter Exploration in Uncertain Enterprise Scenarios

We present Fuzzy Prophet, a probabilistic database tool for constructing, simulating and analyzing business scenarios with uncertain data. Fuzzy Prophet takes externally defined probability distribution (so called VG-Functions) and a declarative descriptio ...

2011

Diffusional Monte Carlo model of liquid-phase sintering

Aitor Luque Gomez

Liquid-phase sintering (LPS) is a consolidation process for metallic and ceramic powders. At given temperature conditions, the process occurs with constant amount of liquid phase. However, the evolution of solid-particle shape is observed, namely, the roun ...

Elsevier2011

Risk, Unexpected Uncertainty, and Estimation Uncertainty: Bayesian Learning in Unstable Settings

Recently, evidence has emerged that humans approach learning using Bayesian updating rather than (model-free) reinforcement algorithms in a six-arm restless bandit problem. Here, we investigate what this implies for human appreciation of uncertainty. In ou ...

2011