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Scientific experimentation is largely driven by statistical hypothesis testing to determine significant differences in interventions. Traditionally, experimenters allocate samples uniformly between each intervention. However, such an…

Response-adaptive randomization has recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the Cramer--Rao lower bounds on the…

统计理论 · 数学 2009-08-25 Feifang Hu , Li-Xin Zhang , Xuming He

Simultaneous perturbation stochastic approximation (SPSA) is widely used in stochastic optimization due to its high efficiency, asymptotic stability, and reduced number of required loss function measurements. However, the standard SPSA…

最优化与控制 · 数学 2023-02-07 Zhichao Jia , Ziyi Wei , James C. Spall

We consider the procedure proposed by Bhandari et al. (2009) in the context of two-treatment clinical trials, with the objective of minimizing the applications of the less effective drug to the least number of patients. Our focus is on an…

统计理论 · 数学 2025-06-30 Sampurna Kundu , Jayant Jha , Subir Kumar Bhandari

Contemporary domain adaptation methods are very effective at aligning feature distributions of source and target domains without any target supervision. However, we show that these techniques perform poorly when even a few labeled examples…

计算机视觉与模式识别 · 计算机科学 2019-09-17 Kuniaki Saito , Donghyun Kim , Stan Sclaroff , Trevor Darrell , Kate Saenko

$Q$-learning is one of the most fundamental reinforcement learning (RL) algorithms. Despite its widespread success in various applications, it is prone to overestimation bias in the $Q$-learning update. To address this issue, double…

机器学习 · 计算机科学 2026-01-13 Hyunjun Na , Donghwan Lee

A sensor network is considered where a sequence of random variables is observed at each sensor. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

统计理论 · 数学 2014-08-21 Taposh Banerjee , Venugopal. V. Veeravalli

In this dissertation we propose alternative analysis of distributed stochastic gradient descent (SGD) algorithms that rely on spectral properties of the data covariance. As a consequence we can relate questions pertaining to speedups and…

最优化与控制 · 数学 2016-09-03 Avleen S. Bijral

Stochastic gradient descent (SGD) is a cornerstone of machine learning. When the number N of data items is large, SGD relies on constructing an unbiased estimator of the gradient of the empirical risk using a small subset of the original…

机器学习 · 统计学 2021-12-14 Remi Bardenet , Subhro Ghosh , Meixia Lin

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

统计方法学 · 统计学 2025-10-28 Zikai Li

We present algorithms for nonparametric regression in settings where the data are obtained sequentially. While traditional estimators select bandwidths that depend upon the sample size, for sequential data the effective sample size is…

统计方法学 · 统计学 2012-07-03 Haijie Gu , John Lafferty

We describe an adaptive importance sampling algorithm for rare events that is based on a dual stochastic control formulation of a path sampling problem. Specifically, we focus on path functionals that have the form of cumulate generating…

动力系统 · 数学 2019-01-30 Omar Kebiri , Lara Neureither , Carsten Hartmann

Tensor ring (TR) decomposition is a simple but effective tensor network for analyzing and interpreting latent patterns of tensors. In this work, we propose a doubly randomized optimization framework for computing TR decomposition. It can be…

数值分析 · 数学 2023-03-30 Yajie Yu , Hanyu Li , Jingchun Zhou

Stochastic gradient descent-ascent (SGDA) is one of the main workhorses for solving finite-sum minimax optimization problems. Most practical implementations of SGDA randomly reshuffle components and sequentially use them (i.e.,…

最优化与控制 · 数学 2023-02-21 Hanseul Cho , Chulhee Yun

The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

最优化与控制 · 数学 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

This paper studies a decentralized stochastic gradient tracking (DSGT) algorithm for non-convex empirical risk minimization problems over a peer-to-peer network of nodes, which is in sharp contrast to the existing DSGT only for convex…

机器学习 · 计算机科学 2020-08-31 Jiaqi Zhang , Keyou You

We show how one can obtain nonaccelerated randomized coordinate descent method (Yu. Nesterov, 2010) and nonaccelerated method of randomization of sum-type functional (Le Roux-Schmidt-Bach, 2012) from the optimal method for the stochastic…

最优化与控制 · 数学 2018-05-29 Alexander Gasnikov , Pavel Dvurechensky , Ilnura Usmanova

The doubly robust (DR) estimator, which consists of two nuisance parameters, the conditional mean outcome and the logging policy (the probability of choosing an action), is crucial in causal inference. This paper proposes a DR estimator for…

机器学习 · 计算机科学 2021-06-22 Masahiro Kato , Shota Yasui , Kenichiro McAlinn

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

机器学习 · 统计学 2016-11-01 Michalis K. Titsias

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

统计方法学 · 统计学 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song
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