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Modeling joint probability distributions is an important task in a wide variety of fields. One popular technique for this employs a family of multivariate distributions with uniform marginals called copulas. While the theory of modeling…

Recent advancements in generative models have unlocked the capabilities to render photo-realistic data in a controllable fashion. Trained on the real data, these generative models are capable of producing realistic samples with minimal to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Abhay Rawat , Shubham Dokania , Astitva Srivastava , Shuaib Ahmed , Haiwen Feng , Rahul Tallamraju

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

This paper presents a population synthesis model that utilizes the Wasserstein Generative-Adversarial Network (WGAN) for training on incomplete microsamples. By using a mask matrix to represent missing values, the study proposes a WGAN…

Machine Learning · Computer Science 2025-10-02 Tanay Rastogi , Daniel Jonsson , Anders Karlström

The empirical copula process, a fundamental tool for copula inference, is studied in the high dimensional regime where the dimension is allowed to grow to infinity exponentially in the sample size. Under natural, weak smoothness assumptions…

Statistics Theory · Mathematics 2025-09-25 Axel Bücher , Cambyse Pakzad

Evaluating AI systems that interact with humans requires understanding their behavior across diverse user populations, but collecting representative human data is often expensive or infeasible, particularly for novel technologies or…

Artificial Intelligence · Computer Science 2026-05-27 Davide Paglieri , Logan Cross , William A. Cunningham , Joel Z. Leibo , Alexander Sasha Vezhnevets

Model selection is an important activity in modern data analysis and the conventional Bayesian approach to this problem involves calculation of marginal likelihoods for different models, together with diagnostics which examine specific…

Computation · Statistics 2008-10-31 David J. Nott , Robert J. Kohn , Mark Fielding

Generation of realistic synthetic data has garnered considerable attention in recent years, particularly in the health research domain due to its utility in, for instance, sharing data while protecting patient privacy or determining optimal…

Other Statistics · Statistics 2025-01-30 Niki Z. Petrakos , Erica E. M. Moodie , Nicolas Savy

Cylindrical data frequently arise across various scientific disciplines, including meteorology (e.g., wind direction and speed), oceanography (e.g., marine current direction and speed or wave heights), ecology (e.g., telemetry), and…

Methodology · Statistics 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

A central problem in machine learning and statistics is to model joint densities of random variables from data. Copulas are joint cumulative distribution functions with uniform marginal distributions and are used to capture…

Machine Learning · Computer Science 2020-12-08 Chun Kai Ling , Fei Fang , J. Zico Kolter

Interpolating a skewed conditional spatial random field with missing data is cumbersome in the absence of Gaussianity assumptions. Maintaining spatial homogeneity and continuity around the observed random spatial point is also challenging,…

Methodology · Statistics 2022-05-27 Debjoy Thakur , Ishapathik Das , Shubhashree Chakravarty

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

The purpose of this work is to transport the information from multiple randomized controlled trials to the target population where we only have the control group data. Previous works rely critically on the mean exchangeability assumption.…

Machine Learning · Statistics 2023-09-29 Yuhang Zhang , Yue Liu , Zhihua Zhang

Individuals together with their locations & attributes are essential to feed micro-level applied urban models (for example, spatial micro-simulation and agent-based modeling) for policy evaluation. Existed studies on population…

Other Computer Science · Computer Science 2014-09-03 Ying Long , Zhenjiang Shen

Deep generative models have become useful for synthetic data generation, particularly population synthesis. The models implicitly learn the probability distribution of a dataset and can draw samples from a distribution. Several models have…

Machine Learning · Computer Science 2022-11-28 Daniel Opoku Mensah , Godwin Badu-Marfo , Bilal Farooq

In this manuscript, we consider a finite multivariate nonparametric mixture model where the dependence between the marginal densities is modeled using the copula device. Pseudo EM stochastic algorithms were recently proposed to estimate all…

Computation · Statistics 2022-12-14 Michael Levine , Gildas Mazo

We consider the problem of synthetically generating data that can closely resemble human decisions made in the context of an interactive human-AI system like a computer game. We propose a novel algorithm that can generate synthetic,…

Machine Learning · Computer Science 2023-04-17 Bryan Brandt , Prithviraj Dasgupta

We tackle the challenge of efficiently learning the structure of expressive multivariate real-valued densities of copula graphical models. We start by theoretically substantiating the conjecture that for many copula families the magnitude…

Machine Learning · Computer Science 2013-09-27 Yaniv Tenzer , Gal Elidan

Synthetic data generation, a cornerstone of Generative Artificial Intelligence, promotes a paradigm shift in data science by addressing data scarcity and privacy while enabling unprecedented performance. As synthetic data becomes more…

Machine Learning · Statistics 2024-03-12 Xiaotong Shen , Yifei Liu , Rex Shen