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Computational Explorations of Total Variation Distance
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Bhattacharyya, Arnab +5 more
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GUARANTEED DETERMINISTIC BOUNDS ON THE TOTAL VARIATION DISTANCE BETWEEN UNIVARIATE MIXTURES [PDF]
2018 IEEE 28th International Workshop on Machine Learning for Signal Processing (MLSP), 2018 The total variation distance is a core statistical distance between probability measures that satisfies the metric axioms, with value always falling in $[0,1]$. This distance plays a fundamental role in machine learning and signal processing: It is a member of the broader class of $f$-divergences, and it is related to the probability of error in ...
Nielsen, Frank, Sun, Ke
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Spectral analysis of random walk operators on euclidian space [PDF]
, 2010 We study the operator associated to a random walk on $\R^d$ endowed with a probability measure. We give a precise description of the spectrum of the operator near $1$ and use it to estimate the total variation distance between the iterated kernel and its
Guillarmou, Colin, Michel, Laurent
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Quantitative bounds on convergence of time-inhomogeneous Markov chains
, 2004 Convergence rates of Markov chains have been widely studied in recent years. In particular, quantitative bounds on convergence rates have been studied in various forms by Meyn and Tweedie [Ann. Appl. Probab. 4 (1994) 981-1101], Rosenthal [J.
Douc, R. +2 more
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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Accuracy of Approximation for Discrete Distributions
Journal of Probability and Statistics, 2016 The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0,1].
Tamás F. Móri
doaj +1 more source
The total variation distance between two double Wiener–Itô integrals [PDF]
Statistics & Probability Letters, 2013 The author considers the total variation distance between two double Wiener-Itō integrals, improving upon a bound due to \textit{Yu. A. Davydov} and \textit{G. V. Martynova} [in: Statistics and control of stochastic processes. Moskva: Collect. Artic., 55--57 (1989; Zbl 0709.60056)] under an additional assumption concerning the eigenvalues of a certain ...
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Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
wiley +1 more source
Rechercher des limites écologiques dans une végétation
Revue d’Elevage et de Médecine Vétérinaire des Pays Tropicaux, 1997 La différence entre deux listes floristiques peut être mesurée par la distance relative de Hamming, c'est-à-dire par le nombre d'espèces qui n'existent que dans un seul des deux relevés rapporté au nombre total d'espèces de l'ensemble des deux listes. L'
Jean César, Philippe Daget
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Wasserstein and total variation distance between marginals of Lévy processes
Electronic Journal of Statistics, 2018 32 pages.
Mariucci, Ester, Reiß, Markus
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