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Sign-Perturbed Sum (SPS) is a powerful finite-sample system identification algorithm which can construct confidence regions for the true data generating system with exact coverage probabilities, for any finite sample size. SPS was developed…

机器学习 · 统计学 2024-01-30 Szabolcs Szentpéteri , Balázs Csanád Csáji

Reduced Rank Regression (RRR) is a widely used method for multi-response regression. However, RRR assumes a linear relationship between features and responses. While linear models are useful and often provide a good approximation, many…

机器学习 · 统计学 2025-03-11 Leia Greenberg , Haim Avron

In the Monte Carlo simulation of both Lattice field-theories and of models of Statistical Mechanics, identities verified by exact mean-values such as Schwinger-Dyson equations, Guerra relations, Callen identities, etc., provide well known…

统计力学 · 物理学 2009-05-14 L. A. Fernandez , V. Martin-Mayor

A method for tuning parameters in Monte Carlo generators is described and applied to a specific case. The method works in the following way: each observable is generated several times using different values of the parameters to be tuned.…

高能物理 - 唯象学 · 物理学 2011-02-09 Alessandro Bacchetta , Hannes Jung , Albert Knutsson , Krzysztof Kutak , Federico von Samson-Himmelstjerna

The past decade has seen a revived interest in the unavoidable or intrinsic noise in biochemical and genetic networks arising from the finite copy number of the participating species. That is, rather than modeling regulatory networks in…

分子网络 · 定量生物学 2015-03-17 Aleksandra M. Walczak , Andrew Mugler , Chris H. WIggins

Observing system simulation experiments (OSSEs) have been widely used as a rigorous and cost-effective way to guide development of new observing systems, and to evaluate the performance of new data assimilation algorithms. Nature runs…

统计方法学 · 统计学 2018-09-05 Pulong Ma , Emily L. Kang , Amy Braverman , Hai Nguyen

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

统计方法学 · 统计学 2023-10-27 Kimia Vahdat , Sara Shashaani

We consider an alternative to the Monte Carlo method for dust continuous radiative transfer simulations: the Quasi-Monte Carlo method. We briefly discuss what it is, its history, and possible implementations. We compare the Monte Carlo…

太阳与恒星天体物理 · 物理学 2024-06-25 S. G. Shulman

The spectrum of cosmic-ray electrons depends sensitively on the history and spatial distribution of nearby sources. Given our limited observational handle on cosmic-ray sources, any model remains necessarily probabilistic. Previously,…

高能天体物理现象 · 物理学 2025-08-08 Nikolas Frediani , Michael Krämer , Philipp Mertsch , Kathrin Nippel

Two classes of gamma-ray bursts (GRBs), short and long, have been determined without any doubts, and are usually ascribed to different progenitors, yet these classes overlap for a variety of descriptive parameters. A subsample of 46 long…

高能天体物理现象 · 物理学 2015-10-05 Mariusz Tarnopolski

In the last fifteen the subset sampling method has often been used in reliability problems as a tool for calculating small probabilities. This method is extrapolating from an initial Monte Carlo estimate for the probability content of a…

统计计算 · 统计学 2017-05-15 Karl Breitung

This article proposes an artificial data generating algorithm that is simple and easy to customize. The fundamental concept is to perform random permutation of Monte Carlo generated random numbers which conform to the unconditional…

计算金融 · 定量金融 2021-02-17 A. Christian Silva , Fernando F. Ferreira

Recently, Giraitis et al. (2003, [10]) proposed the $V/S$ statistic for testing long memory in random sequences. We generalize this statistic to the setting of random fields. The null hypothesis is concerned with short memory random fields…

统计理论 · 数学 2008-12-30 Frédéric Lavancier

This work considers the deployment of pseudo-random number generators (PRNGs) on graphics processing units (GPUs), developing an approach based on the xorgens generator to rapidly produce pseudo-random numbers of high statistical quality.…

分布式、并行与集群计算 · 计算机科学 2013-03-13 Nimalan Nandapalan , Richard P. Brent , Lawrence M. Murray , Alistair Rendell

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

统计理论 · 数学 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

We examine the sources of error in the histogram reweighting method for Monte Carlo data analysis. We demonstrate that, in addition to the standard statistical error which has been studied elsewhere, there are two other sources of error,…

统计力学 · 物理学 2015-06-25 M. E. J. Newman , R. G. Palmer

A sequential test is proposed for detection and isolation of hubs in a correlation graph. Hubs in a correlation graph of a random vector are variables (nodes) that have a strong correlation edge. It is assumed that the random vectors are…

统计理论 · 数学 2017-02-07 Taposh Banerjee , Alfred O. Hero

We propose a new approach, the calibrated nonparametric scan statistic (CNSS), for more accurate detection of anomalous patterns in large-scale, real-world graphs. Scan statistics identify connected subgraphs that are interesting or…

统计方法学 · 统计学 2022-06-28 Chunpai Wang , Daniel B. Neill , Feng Chen

Stochastic Differential Equations (SDEs) are used as statistical models in many disciplines. However, intractable likelihood functions for SDEs make inference challenging, and we need to resort to simulation-based techniques to estimate and…

统计方法学 · 统计学 2014-08-12 Grant Schneider , Peter F. Craigmile , Radu Herbei

We present a new method for learning Soft Random Geometric Graphs (SRGGs), drawn in probabilistic metric spaces, with the connection function of the graph defined as the marginal posterior probability of an edge random variable, given the…

统计方法学 · 统计学 2020-02-05 Kangrui Wang , Dalia Chakrabarty