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Local Intrinsic Dimensionality, Entropy and Statistical Divergences
Entropy, 2022 Properties of data distributions can be assessed at both global and local scales. At a highly localized scale, a fundamental measure is the local intrinsic dimensionality (LID), which assesses growth rates of the cumulative distribution function within a
James Bailey +2 more
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BMC Molecular and Cell Biology, 2019 Background Whole-proteome distributions of protein isoelectric point (pI) values in different organisms are bi- or trimodal with some variations. It was suggested that the observed multimodality of the proteome-wide pI distributions is associated with ...
Atsushi Kurotani +5 more
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Weighted Local Times of a Sub-fractional Brownian Motion as Hida Distributions
Jurnal Matematika Integratif, 2020 The sub-fractional Brownian motion is a Gaussian extension of the Brownian motion. It has the properties of self-similarity, continuity of the sample paths, and short-range dependence, among others.
Herry Pribawanto Suryawan
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Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds [PDF]
, 1999 We present a perturbative construction of interacting quantum field theories on any smooth globally hyperbolic manifold. We develop a purely local version of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using techniques from ...
Brunetti, Romeo, Fredenhagen, Klaus
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Community structure informs species geographic distributions. [PDF]
PLoS ONE, 2018 Understanding what determines species' geographic distributions is crucial for assessing global change threats to biodiversity. Measuring limits on distributions is usually, and necessarily, done with data at large geographic extents and coarse spatial ...
Alicia Montesinos-Navarro +9 more
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Detecting Locally Distributed Predicates [PDF]
ACM Transactions on Autonomous and Adaptive Systems, 2011 In this article, we formalize locally distributed predicates , a concept previously introduced to address specific challenges associated with modular robotics and distributed debugging. A locally distributed predicate (LDP) is a novel construction for representing and detecting distributed properties in sparse ...
Michael DeRosa +4 more
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Free infinite divisibility for beta distributions and related ones [PDF]
, 2014 We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions.
Hasebe, Takahiro
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, 1996 Local porosity distributions for a three-dimensional porous medium and local porosity distributions for a two-dimensional plane-section through the medium are generally different.
B. Virgin +24 more
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The Apparent Constant-Phase-Element Behavior of an Ideally Polarized Blocking Electrode [PDF]
, 2007 Two numerical methods were used to calculate the influence of geometry-induced current and potential distributions on the impedance response of an ideally polarized disk electrode.
Huang, Vicky Mei-Wen +4 more
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Local Decoding in Distributed Compression
IEEE Journal on Selected Areas in Information Theory, 2022 It was recently shown that the lossless compression of a single source $X^n$ is achievable with a notion of strong locality; any $X_i$ can be decoded from a constant number of compressed bits, with a vanishing in $n$ probability of error. By contrast, we show that for two separately encoded sources $(X^n,Y^n)$, lossless compression and strong locality ...
Shashank Vatedka +2 more
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