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Refined Support and Entropic Uncertainty Inequalities

Publications associées (32)

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A methodology for the rigorous verification of plasma simulation codes

Paolo Ricci, Joaquim Loizu Cisquella, Paola Paruta, Sébastien Jolliet, Federico David Halpern, Fabio Riva, Annamaria Mosetto, Christoph Wersal, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

2017

Monotonicity of quantum relative entropy and recoverability

Marius Christopher Lemm

The relative entropy is a principal measure of distinguishability in quantum information theory, with its most important property being that it is non-increasing with respect to noisy quantum operations. Here, we establish a remainder term for this inequal ...

2015

Quantifying snowfall and avalanche release synchronization: a case study

Paolo Perona, Benoît Crouzy, Betty Sovilla, Romain Forclaz

We quantify the synchronization between snowfall and natural avalanches in relation to terrain properties at the detachment zone. We analyze field statistics of 549 avalanche events in terms of slope, aspect, timing, coordinate, and release area, identifie ...

Wiley-Blackwell2015

Statistical-thermodynamics modelling of the built environment in relation to urban ecology

Jean-Louis Scartezzini, Nahid Mohajeri Pour Rayeni

Various aspects of the built environment have important effects on ecology. Providing suitable metrics for the built forms so as to quantify and model their internal relations and external ecological footprints, however, remains a challenge. Here we provid ...

Elsevier2015

Quantitative analysis of structural changes during rapid urban growth

Nahid Mohajeri Pour Rayeni

New quantitative measures of urban structural changes are introduced and applied to the fast-growing city of Kerman, Iran. The results of 20,802 street measurements show that the main street orientations are orthogonal, both in the old inner part and in th ...

American Society of Civil Engineers2015

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We are interested in inferring the set of waypoints (or intermediate destinations) of a mobility trajectory in the absence of timing information. We find that, by mining a dataset of real mobility traces, computing the entropy of conditional Markov traject ...

IEEE2015

The entropy power inequality (EPI) yields lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for spe ...

Institute of Electrical and Electronics Engineers2014

Street networks are one of the very few types of complex networks where the history of the network can be traced over long periods of time. Here we introduce methods for quantifying the geometric characteristics of street networks and analyze the details o ...

Wiley-Blackwell2014

Accounting for Observational Uncertainty in Forecast Verification: An Information-Theoretical View on Forecasts, Observations, and Truth

Steven Vincent Weijs, Nicolaas Cornelis van de Giesen

Recently, an information-theoretical decomposition of Kullback–Leibler divergence into uncertainty, reliability, and resolution was introduced. In this article, this decomposition is generalized to the case where the observation is uncertain. Along with a ...

2011

This paper presents a score that can be used for evaluating probabilistic forecasts of multicategory events. The score is a reinterpretation of the logarithmic score or ignorance score, now formulated as the relative entropy or Kullback–Leibler divergence ...

2010