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Understanding how well a deep generative model captures a distribution of high-dimensional data remains an important open challenge. It is especially difficult for certain model classes, such as Generative Adversarial Networks and Diffusion…

Machine Learning · Computer Science 2023-08-08 Suman Ravuri , Mélanie Rey , Shakir Mohamed , Marc Deisenroth

Classifying the training data correctly without over-fitting is one of the goals in machine learning. In this paper, we propose a generalization-memorization mechanism, including a generalization-memorization decision and a memory modeling…

Machine Learning · Computer Science 2024-04-09 Zhen Wang , Yuan-Hai Shao

We propose generalized random forests, a method for non-parametric statistical estimation based on random forests (Breiman, 2001) that can be used to fit any quantity of interest identified as the solution to a set of local moment…

Methodology · Statistics 2018-04-06 Susan Athey , Julie Tibshirani , Stefan Wager

The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the…

Computation · Statistics 2018-05-14 Chanseok Park

Bayesian inference for survival regression modeling offers numerous advantages, especially for decision-making and external data borrowing, but demands the specification of the baseline hazard function, which may be a challenging task. We…

There is growing interest in improving our algorithmic understanding of fundamental statistical problems such as mean estimation, driven by the goal of understanding the limits of what we can extract from valuable data. The state of the art…

Statistics Theory · Mathematics 2023-11-22 Trung Dang , Jasper C. H. Lee , Maoyuan Song , Paul Valiant

Marginal model is a popular instrument for studying longitudinal data and cluster data. This paper investigates the estimator of marginal model with subgroup auxiliary information. To marginal model, we propose a new type of auxiliary…

Methodology · Statistics 2018-06-11 Jie He , Xiaogang Duan , Shumei Zhang , Hui Li

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , Weijie Su

Offline reinforcement learning (RL) can fit strong value functions from fixed datasets, yet reliable deployment still hinges on the action selection interface used to query them. When the dataset induces a branched or multimodal action…

Machine Learning · Computer Science 2026-03-25 Haoyu Wang , Jingcheng Wang , Shunyu Wu , Xinwei Xiao

Data analyses in particle physics rely on an accurate simulation of particle collisions and a detailed simulation of detector effects to extract physics knowledge from the recorded data. Event generators together with a GEANT-based…

High Energy Physics - Experiment · Physics 2025-05-12 CMS Collaboration

Model selection plays an important role in longitudinal data analysis, especially when models are estimated using the generalized method of moments (GMM) in the presence of time-dependent covariates. In this setting, the number of valid…

Methodology · Statistics 2026-05-08 Mahmud Hasan , Mathias Nthiani Muia , Mous-Abou Hamadou , Niloofar Ramezani

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

We present a novel theoretical framework, Q-MMR, for off-policy evaluation in finite-horizon MDPs. Q-MMR learns a set of scalar weights, one for each data point, such that the reweighted rewards approximate the expected return under the…

Machine Learning · Computer Science 2026-05-11 Xiang Li , Nan Jiang

Finite mixtures of regression models provide a flexible modeling framework for many phenomena. Using moment-based estimation of the regression parameters, we develop unbiased estimators with a minimum of assumptions on the mixture…

Statistics Theory · Mathematics 2019-05-17 Claus Thorn Ekstrøm , Christian Bressen Pipper

The extremal index $\theta$, a number in the interval $[0,1]$, is known to be a measure of primal importance for analyzing the extremes of a stationary time series. New rank-based estimators for $\theta$ are proposed which rely on the…

Statistics Theory · Mathematics 2020-06-30 Axel Bücher , Tobias Jennessen

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Recent work has shown that standard training via empirical risk minimization (ERM) can produce models that achieve high accuracy on average but low accuracy on underrepresented groups due to the prevalence of spurious features. A…

Machine Learning · Computer Science 2023-05-11 Yachuan Liu , Bohan Zhang , Qiaozhu Mei , Paramveer Dhillon

The consistency of a learning method is usually established under the assumption that the observations are a realization of an independent and identically distributed (i.i.d.) or mixing process. Yet, kernel methods such as support vector…

Machine Learning · Computer Science 2024-06-11 Pierre-François Massiani , Sebastian Trimpe , Friedrich Solowjow

Generalized linear models are a popular tool in applied statistics, with their maximum likelihood estimators enjoying asymptotic Gaussianity and efficiency. As all models are wrong, it is desirable to understand these estimators' behaviours…

Methodology · Statistics 2024-12-10 Elliot H. Young , Rajen D. Shah

In finite samples, the use of a slightly endogenous but highly relevant instrument can reduce mean-squared error (MSE). Building on this observation, I propose a novel moment selection procedure for GMM -- the Focused Moment Selection…

Methodology · Statistics 2026-02-24 Francis J. DiTraglia