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A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample…

统计方法学 · 统计学 2015-11-24 Rong Zhu , Ping Ma , Michael W. Mahoney , Bin Yu

Modified Hamiltonian Monte Carlo (MHMC) methods combine the ideas behind two popular sampling approaches: Hamiltonian Monte Carlo (HMC) and importance sampling. As in the HMC case, the bulk of the computational cost of MHMC algorithms lies…

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

机器学习 · 统计学 2022-06-16 Daniel Ting

Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

统计方法学 · 统计学 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim

Hamiltonian Monte Carlo (HMC) sampling methods provide a mechanism for defining distant proposals with high acceptance probabilities in a Metropolis-Hastings framework, enabling more efficient exploration of the state space than standard…

统计方法学 · 统计学 2014-05-13 Tianqi Chen , Emily B. Fox , Carlos Guestrin

To tackle massive data, subsampling is a practical approach to select the more informative data points. However, when responses are expensive to measure, developing efficient subsampling schemes is challenging, and an optimal sampling…

统计计算 · 统计学 2022-10-11 Jing Wang , HaiYing Wang , Shifeng Xiong

The aim of survey statistics is to produce estimates with a minimal bias and a corresponding acceptable variance given a specific budget, preferable with a minor response burden for the participants. In recent years, considerable efforts…

统计方法学 · 统计学 2026-04-02 Martin Hyllienmark , Gustaf Strandell

Huber regression (HR) is a popular robust alternative to the least squares regression when the error follows a heavy-tailed distribution. We propose a new method called the enveloped Huber regression (EHR) by considering the envelope…

统计方法学 · 统计学 2020-11-03 Le Zhou , R. Dennis Cook , Hui Zou

We propose the holdout randomization test (HRT), an approach to feature selection using black box predictive models. The HRT is a specialized version of the conditional randomization test (CRT; Candes et al., 2018) that uses data splitting…

统计方法学 · 统计学 2021-03-23 Wesley Tansey , Victor Veitch , Haoran Zhang , Raul Rabadan , David M. Blei

In classical statistics and distribution testing, it is often assumed that elements can be sampled from some distribution $P$, and that when an element $x$ is sampled, the probability $P$ of sampling $x$ is also known. Recent work in…

数据结构与算法 · 计算机科学 2022-08-03 Talya Eden , Jakob Bæk Tejs Houen , Shyam Narayanan , Will Rosenbaum , Jakub Tětek

We study design-unbiased estimation of the finite-population total $\sum_{i=1}^N y_i$ when each outcome satisfies known bounds $y_i\in[a_i,b_i]$. For any sampling design with inclusion probabilities $\pi_i>0$, we prove a sharp lower bound…

统计理论 · 数学 2026-05-21 P. M. Aronow , Patrick Lopatto

Aggregation constraints, arising from geographical or sectoral division, frequently emerge in a large set of time series. Coherent forecasts of these constrained series are anticipated to conform to their hierarchical structure organized by…

应用统计 · 统计学 2026-02-27 Zhichao Wang , Shanshan Wang , Wei Cao , Fei Yang

Estimating the probability that a sum of random variables (RVs) exceeds a given threshold is a well-known challenging problem. Closed-form expression of the sum distribution is usually intractable and presents an open problem. A crude Monte…

信息论 · 计算机科学 2014-09-23 Nadhir Ben Rached , Fatma Benkhelifa , Abla Kammoun , Mohamed-Slim Alouini , Raul Tempone

This pedagogical review examines the use of machine learning methods in finite-population inference for survey sampling, with an emphasis on design-based validity and statistical inference. While flexible prediction tools offer substantial…

统计方法学 · 统计学 2026-05-19 Mehdi Dagdoug , David Haziza

This paper considers a practical scenario where a classical estimation method might have already been implemented on a certain platform when one tries to apply more advanced techniques such as moving horizon estimation (MHE). We are…

系统与控制 · 计算机科学 2018-07-06 He Kong , Salah Sukkarieh

We analyze the convergence rate of the randomized Newton-like method introduced by Qu et. al. (2016) for smooth and convex objectives, which uses random coordinate blocks of a Hessian-over-approximation matrix $\bM$ instead of the true…

数值分析 · 数学 2020-02-13 Mojmír Mutný , Michał Dereziński , Andreas Krause

The problem of sampling constrained continuous distributions has frequently appeared in many machine/statistical learning models. Many Monte Carlo Markov Chain (MCMC) sampling methods have been adapted to handle different types of…

统计计算 · 统计学 2023-02-21 Shiwei Lan , Lulu Kang

Subsampling is an important technique to tackle the computational challenges brought by big data. Many subsampling procedures fall within the framework of importance sampling, which assigns high sampling probabilities to the samples…

机器学习 · 统计学 2022-03-07 Tieliang Gong , Yuxin Dong , Hong Chen , Bo Dong , Chen Li

This paper deals with the nonparametric estimation in heteroscedastic regression $ Y_i=f(X_i)+\xi_i, \: i=1,...,n $, with incomplete information, i.e. each real random variable $ \xi_i $ has a density $ g_{i} $ which is unknown to the…

统计理论 · 数学 2011-05-10 Michaël Chichignoud

To improve the generalizability of impact evaluations, recent research has examined statistical methods for selecting representative samples of sites. However, these methods rely on having rich data on impact moderators for all sites in the…

统计方法学 · 统计学 2022-01-17 Robert B. Olsen