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Statistical models are an essential tool to model, forecast and understand the hydrological processes in watersheds. In particular, the understanding of time lags associated with the delay between rainfall occurrence and subsequent changes…

Large language models (LLMs) have achieved significant performance gains via scaling up model sizes and/or data. However, recent evidence suggests diminishing returns from such approaches, motivating scaling the computation spent at…

机器学习 · 计算机科学 2025-08-15 Isha Puri , Shivchander Sudalairaj , Guangxuan Xu , Kai Xu , Akash Srivastava

Although a majority of the theoretical literature in high-dimensional statistics has focused on settings which involve fully-observed data, settings with missing values and corruptions are common in practice. We consider the problems of…

机器学习 · 统计学 2017-11-06 Yining Wang , Jialei Wang , Sivaraman Balakrishnan , Aarti Singh

Generative models have made significant impacts across various domains, largely due to their ability to scale during training by increasing data, computational resources, and model size, a phenomenon characterized by the scaling laws.…

计算机视觉与模式识别 · 计算机科学 2025-01-17 Nanye Ma , Shangyuan Tong , Haolin Jia , Hexiang Hu , Yu-Chuan Su , Mingda Zhang , Xuan Yang , Yandong Li , Tommi Jaakkola , Xuhui Jia , Saining Xie

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

数据结构与算法 · 计算机科学 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Survey instruments and assessments are frequently used in many domains of social science. When the constructs that these assessments try to measure become multifaceted, multidimensional item response theory (MIRT) provides a unified…

统计方法学 · 统计学 2025-01-08 Chenchen Ma , Jing Ouyang , Chun Wang , Gongjun Xu

For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

统计方法学 · 统计学 2026-05-08 Haeran Cho , Tobias Kley , Housen Li

Since Pearson [Philosophical Transactions of the Royal Society of London. A, 185 (1894), pp. 71-110] first applied the method of moments (MM) for modeling data as a mixture of one-dimensional Gaussians, moment-based estimation methods have…

机器学习 · 计算机科学 2025-07-29 Liu Zhang , Oscar Mickelin , Sheng Xu , Amit Singer

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential…

统计理论 · 数学 2018-07-02 Alexandre Belloni , Federico Bugni , Victor Chernozhukov

Meta-analysis, because of both logistical convenience and statistical efficiency, is widely popular for synthesizing information on common parameters of interest across multiple studies. We propose developing a generalized meta-analysis…

统计方法学 · 统计学 2018-11-27 Prosenjit Kundu , Runlong Tang , Nilanjan Chatterjee

We consider estimation and inference in panel data models with additive unobserved individual specific heterogeneity in a high dimensional setting. The setting allows the number of time varying regressors to be larger than the sample size.…

统计方法学 · 统计学 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen , Damian Kozbur

This paper proposes a simple and efficient estimation procedure for the model with non-ignorable missing data studied by Morikawa and Kim (2016). Their semiparametrically efficient estimator requires explicit nonparametric estimation and so…

统计方法学 · 统计学 2018-01-15 Chunrong Ai , Oliver Linton , Zheng Zhang

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

统计计算 · 统计学 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

In this contribution we deal with the problem of learning an undirected graph which encodes the conditional dependence relationship between variables of a complex system, given a set of observations of this system. This is a very central…

统计方法学 · 统计学 2019-07-26 Daniela De Canditiis , Armando Guardasole

Identifying dependency in multivariate data is a common inference task that arises in numerous applications. However, existing nonparametric independence tests typically require computation that scales at least quadratically with the sample…

统计方法学 · 统计学 2021-07-08 Shai Gorsky , Li Ma

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

机器学习 · 统计学 2026-03-23 Xinyu Liu , Hai Zhang

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

统计方法学 · 统计学 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

We introduce a new computational framework for estimating parameters in generalized generalized linear models (GGLM), a class of models that extends the popular generalized linear models (GLM) to account for dependencies among observations…

统计方法学 · 统计学 2023-04-28 Anatoli Juditsky , Arkadi Nemirovski , Yao Xie , Chen Xu

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

统计方法学 · 统计学 2020-04-27 Dimitris Korobilis

Imputation methods play a critical role in enhancing the quality of practical time-series data, which often suffer from pervasive missing values. Recently, diffusion-based generative imputation methods have demonstrated remarkable success…

机器学习 · 计算机科学 2025-10-03 Zeqi Ye , Minshuo Chen