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We consider random graphs with a given degree sequence and show, under weak technical conditions, asymptotic normality of the number of components isomorphic to a given tree, first for the random multigraph given by the configuration model…

Probability · Mathematics 2019-02-01 Svante Janson

Resampling is an operation costly in calculation time and accuracy. It regularizes irregular sampling, replacing N data by N periodic estimations. This stage can be suppressed, using formulas built with incoming data and completed by…

Data Analysis, Statistics and Probability · Physics 2019-05-28 Bernard Lacaze

We consider situations where data have been collected such that the sampling depends on the outcome of interest and possibly further covariates, as for instance in case-control studies. Graphical models represent assumptions about the…

Methodology · Statistics 2011-01-06 Vanessa Didelez , Svend Kreiner , Niels Keiding

We describe a method that focuses sampling effort on a user-defined selection of a large system, which can lead to substantial decreases in computational effort by speeding up the calculation of nonbonded interactions. A naive approach can…

Statistical Mechanics · Physics 2023-08-28 Joshua Fass , Forrest York , Matthew Wittmann , Joseph Kaus , Yutong Zhao

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions and abrupt resetting events to a set of reference values. The inclusion of the resetting mechanism not only provides the…

Statistical Mechanics · Physics 2022-12-21 Oriol Artime

Granular convergence is a property of a granular pack as it is repeatedly sheared in a cyclic, quasistatic fashion, as the packing configuration changes via discrete events. Under suitable conditions the set of microscopic configurations…

Soft Condensed Matter · Physics 2023-08-25 Anna Movsheva , Thomas A. Witten

Disentangled representations seek to recover latent factors of variation underlying observed data, yet their identifiability is still not fully understood. We introduce a unified framework in which disentanglement is achieved through…

Machine Learning · Computer Science 2026-05-12 Stefan Matthes , Zhiwei Han , Hao Shen

In Bayesian nonparametric inference, random discrete probability measures are commonly used as priors within hierarchical mixture models for density estimation and for inference on the clustering of the data. Recently, it has been shown…

Statistics Theory · Mathematics 2012-11-26 Stefano Favaro , Antonio Lijoi , Igor Prünster

We consider the problem of recovering conditional independence relationships between $p$ jointly distributed Hilbertian random elements given $n$ realizations thereof. We operate in the sparse high-dimensional regime, where $n \ll p$ and no…

Methodology · Statistics 2023-06-26 Kartik G. Waghmare , Tomas Masak , Victor M. Panaretos

The shape of a cell influences and it is influenced by interactions with its neighbouring partners. Here, we introduce a coarse-grained model of non-reciprocal interactions between single-cell organisms to study emergent morphologies during…

Soft Condensed Matter · Physics 2025-06-17 Maitane Muñoz-Basagoiti , Michael Wassermair , Miguel Amaral , Buzz Baum , Anđela Šarić

We introduce a general form of sequential Monte Carlo algorithm defined in terms of a parameterized resampling mechanism. We find that a suitably generalized notion of the Effective Sample Size (ESS), widely used to monitor algorithm…

Computation · Statistics 2016-01-08 Nick Whiteley , Anthony Lee , Kari Heine

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

Physics and Society · Physics 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

Soft Condensed Matter · Physics 2010-02-01 F. Lechenault , Karen E. Daniels

The aim of this paper is to provide a resampling technique that allows us to make inference on superpopulation parameters in finite population setting. Under complex sampling designs, it is often difficult to obtain explicit results about…

Methodology · Statistics 2018-09-24 Pier Luigi Conti , Alberto Di Iorio

Background properties in experimental particle physics are typically estimated using large data sets. However, different events can exhibit different features because of the quantum mechanical nature of the underlying physics processes.…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Federico Colecchia

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

Generative models can be trained to emulate complex empirical data, but are they useful to make predictions in the context of previously unobserved environments? An intuitive idea to promote such extrapolation capabilities is to have the…

Machine Learning · Computer Science 2022-01-03 Michel Besserve , Rémy Sun , Dominik Janzing , Bernhard Schölkopf

Constraint-based causal discovery algorithms utilize many statistical tests for conditional independence to uncover networks of causal dependencies. These approaches to causal discovery rely on an assumed correspondence between the…

Machine Learning · Computer Science 2025-04-18 Bijan Mazaheri , Jiaqi Zhang , Caroline Uhler

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

Probability · Mathematics 2023-08-01 Aurélien Velleret

Determinantal point process have recently been used as models in machine learning and this has raised questions regarding the characterizations of conditional independence. In this paper we investigate characterizations of conditional…

Probability · Mathematics 2014-07-01 Tvrtko Tadić