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In this letter, we introduce a novel message-passing algorithm for a class of problems which can be mathematically understood as estimating volume-related properties of random polytopes. Unlike the usual approach consisting in approximating…

数据结构与算法 · 计算机科学 2011-11-23 Francesc Font-Clos , Francesco Alessandro Massucci , Isaac Pérez Castillo

In this work, we present a new random sampling method for data streams where the probability of an element's inclusion in the sample is proportional to a weight associated with that element. Our method is based on sampling with replacement,…

数据结构与算法 · 计算机科学 2026-03-18 Adriano Meligrana , Adriano Fazzone

We study the performance of a proportional weights algorithm for online capacitated bipartite matching modeling the delivery of impression ads. The algorithm uses predictions on the advertiser nodes to match arriving impression nodes…

数据结构与算法 · 计算机科学 2021-06-03 Thomas Lavastida , Benjamin Moseley , R. Ravi , Chenyang Xu

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a novel Distributed Approx-Newton algorithm that approximates the standard Newton optimization method. A main property of this…

数值分析 · 计算机科学 2017-03-24 Tor Anderson , Chin-Yao Chang , Sonia Martinez

We consider message-efficient continuous random sampling from a distributed stream, where the probability of inclusion of an item in the sample is proportional to a weight associated with the item. The unweighted version, where all weights…

数据结构与算法 · 计算机科学 2019-04-09 Rajesh Jayaram , Gokarna Sharma , Srikanta Tirthapura , David P. Woodruff

The dynamic cavity method provides the most efficient way to evaluate probabilities of dynamic trajectories in systems of stochastic units with unidirectional sparse interactions. It is closely related to sum-product algorithms widely used…

无序系统与神经网络 · 物理学 2021-11-10 Giuseppe Torrisi , Alessia Annibale , Reimer Kühn

Envelope methodology can provide substantial efficiency gains in multivariate statistical problems, but in some applications the estimation of the envelope dimension can induce selection volatility that may mitigate those gains. Current…

统计方法学 · 统计学 2017-04-17 Daniel J. Eck , R. Dennis Cook

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtain robust estimates. The weight, attached to each score contribution, is evaluated by comparing the statistical data depth at the model…

统计方法学 · 统计学 2018-02-16 Claudio Agostinelli

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

统计方法学 · 统计学 2023-03-13 Andressa Cerqueira , Elizaveta Levina

We experimentally study the fundamental problem of computing the volume of a convex polytope given as an intersection of linear inequalities. We implement and evaluate practical randomized algorithms for accurately approximating the…

计算几何 · 计算机科学 2021-04-26 Ioannis Z. Emiris , Vissarion Fisikopoulos

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

统计方法学 · 统计学 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

This paper discusses a methodology for determining a functional representation of a random process from a collection of scattered pointwise samples. The present work specifically focuses onto random quantities lying in a high dimensional…

数值分析 · 数学 2014-01-03 Lionel Mathelin

In this article the issues are discussed with the Bayesian approach, least-square fits, and most-likely fits. Trying to counter these issues, a method, based on weighted confidence, is proposed for estimating probabilities and other…

统计理论 · 数学 2017-01-26 Fetze Pijlman

Envelope methodology is succinctly pitched as a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives \citep[first sentence of page 1]{cook2018introduction}. This description is true…

统计方法学 · 统计学 2020-02-05 Daniel J. Eck

There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

计算物理 · 物理学 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

We consider robust estimation of wrapped models to multivariate circular data that are points on the surface of a $p$-torus based on the weighted likelihood methodology.Robust model fitting is achieved by a set of weighted likelihood…

统计方法学 · 统计学 2024-01-10 Claudio Agostinelli , Luca Greco , Giovanni Saraceno

We introduce a version of the cavity method for diluted mean-field spin models that allows the computation of thermodynamic quantities similar to the Franz-Parisi quenched potential in sparse random graph models. This method is developed in…

无序系统与神经网络 · 物理学 2015-05-13 Federico Ricci-Tersenghi , Guilhem Semerjian

We introduce novel belief propagation algorithms to estimate the marginals of a high dimensional probability distribution. They involve natural (co)homological constructions relevant for a localised description of statistical systems.

代数拓扑 · 数学 2021-07-27 Olivier Peltre

We consider a novel challenge: approximating a distribution without the ability to randomly sample from that distribution. We study how such an approximation can be obtained using *weight queries*. Given some data set of examples, a weight…

机器学习 · 计算机科学 2021-07-15 Nadav Barak , Sivan Sabato

We propose a new weighted average estimator for the high dimensional parameters under the distributed learning system, in which the weight assigned to each coordinate is precisely proportional to the inverse of the variance of the local…

统计方法学 · 统计学 2025-02-06 Jun Lu , Xiaoyu Mao , Mengyao Li , Chenping Hou
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