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Federated learning involves a mixture of centralized and decentralized processing tasks, where a server regularly selects a sample of the agents and these in turn sample their local data to compute stochastic gradients for their learning…

机器学习 · 计算机科学 2020-10-27 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Variational inequalities are a universal optimization paradigm that is interesting in itself, but also incorporates classical minimization and saddle point problems. Modern realities encourage to consider stochastic formulations of…

最优化与控制 · 数学 2024-03-27 Alexander Pichugin , Maksim Pechin , Aleksandr Beznosikov , Alexander Gasnikov

Tree-based ensembles such as the Random Forest are modern classics among statistical learning methods. In particular, they are used for predicting univariate responses. In case of multiple outputs the question arises whether we separately…

机器学习 · 统计学 2022-01-17 Lena Schmid , Alexander Gerharz , Andreas Groll , Markus Pauly

A random forest prediction can be computed by the scalar product of the labels of the training examples and a set of weights that are determined by the leafs of the forest into which the test object falls; each prediction can hence be…

机器学习 · 计算机科学 2023-11-27 Henrik Boström

As computer resources become increasingly limited, traditional statistical methods face challenges in analyzing massive data, especially in functional data analysis. To address this issue, subsampling offers a viable solution by…

统计方法学 · 统计学 2024-07-01 Jingxiang Pan , Xiaohui Yuan , Xiaohui Yuan

Motion planning problems have been studied by both the robotics and the controls research communities for a long time, and many algorithms have been developed for their solution. Among them, incremental sampling-based motion planning…

机器人学 · 计算机科学 2012-05-01 Oktay Arslan , Panagiotis Tsiotras

We study the optimal sustainable harvesting of a population that lives in a random environment. The novelty of our setting is that we maximize the asymptotic harvesting yield, both in an expected value and almost sure sense, for a large…

概率论 · 数学 2019-04-02 Luis H. R. Alvarez E. , Alexandru Hening

In this paper we have considered the problem of estimating the population mean in systematic sampling using information on an auxiliary variable in presence of non response. Some modified ratio, product and difference type estimators in…

统计方法学 · 统计学 2014-03-06 Hemant K. Verma , R. D. Singh , Rajesh Singh

The aim of this paper is twofold. First, three theoretical principles are formalized: randomization, overrepresentation and restriction. We develop these principles and give a rationale for their use in choosing the sampling design in a…

统计方法学 · 统计学 2016-12-16 Yves Tillé , Matthieu Wilhelm

The main purpose of this article is to prove that, under certain assumptions in a linear prediction setting, optimal methods based upon model reduction and even an optimal predictor can be provided. The optimality is formulated in terms of…

统计理论 · 数学 2024-12-30 Inge S. Helland

In this paper, we consider a statistical problem of learning a linear model from noisy samples. Existing work has focused on approximating the least squares solution by using leverage-based scores as an importance sampling distribution.…

机器学习 · 统计学 2016-02-11 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Neural decoding may be formulated as dynamic state estimation (filtering) based on point process observations, a generally intractable problem. Numerical sampling techniques are often practically useful for the decoding of real neural data.…

神经元与认知 · 定量生物学 2019-01-15 Yuval Harel , Ron Meir , Manfred Opper

Differential evolution possesses a multitude of various strategies for generating new trial solutions. Unfortunately, the best strategy is not known in advance. Moreover, this strategy usually depends on the problem to be solved. This paper…

神经与进化计算 · 计算机科学 2013-07-04 Iztok Fister , Iztok Fister , Janez Brest

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

统计方法学 · 统计学 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Given a sample of independent and identically distributed random variables, a novel nonparametric maximum entropy method is presented to estimate the underlying continuous univariate probability density function (pdf). Estimates are found…

概率论 · 数学 2016-06-30 Jenny Farmer , Donald J. Jacobs

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

统计方法学 · 统计学 2023-09-19 Archer Gong Zhang , Jiahua Chen

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

机器学习 · 计算机科学 2013-01-18 Amos J. Storkey

Nonuniform subsampling methods are effective to reduce computational burden and maintain estimation efficiency for massive data. Existing methods mostly focus on subsampling with replacement due to its high computational efficiency. If the…

统计方法学 · 统计学 2021-07-06 Jun Yu , HaiYing Wang , Mingyao Ai , Huiming Zhang

The tree-based ensembles are known for their outstanding performance in classification and regression problems characterized by feature vectors represented by mixed-type variables from various ranges and domains. However, considering…

机器学习 · 计算机科学 2025-12-16 Patryk Wielopolski , Maciej Zięba
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