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We consider the question of learning in general topological vector spaces. By exploiting known (or parametrized) covariance structures, our Main Theorem demonstrates that any continuous linear map corresponds to a certain isomorphism of…

概率论 · 数学 2014-05-06 Tom LaGatta , P. Richard Hahn

A great deal of interest has recently focused on conducting inference on the parameters in a high-dimensional linear model. In this paper, we consider a simple and very na\"{i}ve two-step procedure for this task, in which we (i) fit a lasso…

统计方法学 · 统计学 2020-07-02 Sen Zhao , Daniela Witten , Ali Shojaie

The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

机器学习 · 统计学 2017-07-03 Frank E. Curtis , Katya Scheinberg

Many econometrics textbooks imply that under mean independence of the regressors and the error term, the OLS parameters have a causal interpretation. We show that even when this assumption is satisfied, OLS might identify a pseudo-parameter…

计量经济学 · 经济学 2022-11-18 Federico Crudu , Michael C. Knaus , Giovanni Mellace , Joeri Smits

We study the problem of inferring a sparse vector from random linear combinations of its components. We propose the Accelerated Orthogonal Least-Squares (AOLS) algorithm that improves performance of the well-known Orthogonal Least-Squares…

机器学习 · 统计学 2018-04-17 Abolfazl Hashemi , Haris Vikalo

Assessing variability according to distinct factors in data is a fundamental technique of statistics. The method commonly regarded to as analysis of variance (ANOVA) is, however, typically confined to the case where all levels of a factor…

统计方法学 · 统计学 2013-03-15 Steven Geinitz , Reinhard Furrer

Sequential data collection has emerged as a widely adopted technique for enhancing the efficiency of data gathering processes. Despite its advantages, such data collection mechanism often introduces complexities to the statistical inference…

统计理论 · 数学 2023-11-09 Mufang Ying , Koulik Khamaru , Cun-Hui Zhang

It has recently been discovered that the conclusions of many highly influential econometrics studies can be overturned by removing a very small fraction of their samples (often less than $0.5\%$). These conclusions are typically based on…

机器学习 · 计算机科学 2024-10-11 Ittai Rubinstein , Samuel B. Hopkins

This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

数值分析 · 计算机科学 2019-02-18 Brian A. Freno , Kevin T. Carlberg

Machine learning can provide deep insights into data, allowing machines to make high-quality predictions and having been widely used in real-world applications, such as text mining, visual classification, and recommender systems. However,…

机器学习 · 计算机科学 2020-08-11 Meng Wang , Weijie Fu , Xiangnan He , Shijie Hao , Xindong Wu

This text discusses several popular explanatory methods that go beyond the error measurements and plots traditionally used to assess machine learning models. Some of the explanatory methods are accepted tools of the trade while others are…

机器学习 · 统计学 2020-06-02 Patrick Hall

We discuss the relevance of the recent Machine Learning (ML) literature for economics and econometrics. First we discuss the differences in goals, methods and settings between the ML literature and the traditional econometrics and…

计量经济学 · 经济学 2019-03-26 Susan Athey , Guido Imbens

As increasingly popular metrics of worker and institutional quality, estimated value-added (VA) measures are now widely used as dependent or explanatory variables in regressions. For example, VA is used as an explanatory variable when…

计量经济学 · 经济学 2021-10-12 Antoine Deeb

Sparse linear regression, which entails finding a sparse solution to an underdetermined system of linear equations, can formally be expressed as an $l_0$-constrained least-squares problem. The Orthogonal Least-Squares (OLS) algorithm…

机器学习 · 统计学 2016-08-01 Abolfazl Hashemi , Haris Vikalo

In recent years, there has been increasing interest in causal reasoning for designing fair decision-making systems due to its compatibility with legal frameworks, interpretability for human stakeholders, and robustness to spurious…

机器学习 · 计算机科学 2022-10-27 Aida Rahmattalabi , Alice Xiang

Earth observation (EO) data such as satellite imagery can have far-reaching impacts on our understanding of the geography of poverty, especially when coupled with machine learning (ML) and computer vision. Early research used computer…

机器学习 · 计算机科学 2025-04-23 Kazuki Sakamoto , Connor T. Jerzak , Adel Daoud

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

信号处理 · 电气工程与系统科学 2023-04-25 Nir Shlezinger , Tirza Routtenberg

Causal inference necessarily relies upon untestable assumptions; hence, it is crucial to assess the robustness of obtained results to violations of identification assumptions. However, such sensitivity analysis is only occasionally…

统计方法学 · 统计学 2025-05-19 Tobias Freidling , Qingyuan Zhao

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

统计方法学 · 统计学 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

机器学习 · 计算机科学 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt