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Given two sets of elements (such as cell types and drug compounds), researchers typically only have access to a limited subset of their interactions. The task of causal imputation involves using this subset to predict unobserved…

Machine Learning · Computer Science 2024-10-29 Marco Jiralerspong , Thomas Jiralerspong , Vedant Shah , Dhanya Sridhar , Gauthier Gidel

The lasso is a popular tool for sparse linear regression, especially for problems in which the number of variables p exceeds the number of observations n. But when p>n, the lasso criterion is not strictly convex, and hence it may not have a…

Statistics Theory · Mathematics 2012-11-06 Ryan J. Tibshirani

We consider the problem of identifying significant predictors in large data bases, where the response variable depends on the linear combination of explanatory variables through an unknown link function, corrupted with the noise from the…

Methodology · Statistics 2019-11-19 Wojciech Rejchel , Malgorzata Bogdan

Several strategies have been developed recently to ensure valid inference after model selection; some of these are easy to compute, while others fare better in terms of inferential power. In this paper, we consider a selective inference…

Methodology · Statistics 2022-07-13 Snigdha Panigrahi , Jonathan Taylor

In many real-world scenarios, interested variables are often represented as discretized values due to measurement limitations. Applying Conditional Independence (CI) tests directly to such discretized data, however, can lead to incorrect…

Artificial Intelligence · Computer Science 2025-06-11 Boyang Sun , Yu Yao , Xinshuai Dong , Zongfang Liu , Tongliang Liu , Yumou Qiu , Kun Zhang

Consider the problem of imputing missing values in a dataset. One the one hand, conventional approaches using iterative imputation benefit from the simplicity and customizability of learning conditional distributions directly, but suffer…

Machine Learning · Statistics 2022-06-17 Daniel Jarrett , Bogdan Cebere , Tennison Liu , Alicia Curth , Mihaela van der Schaar

We propose a conditional stochastic interpolation (CSI) method for learning conditional distributions. CSI is based on estimating probability flow equations or stochastic differential equations that transport a reference distribution to the…

Machine Learning · Statistics 2025-08-26 Ding Huang , Jian Huang , Ting Li , Guohao Shen

In the partially-observed outcome setting, a recent set of proposals known as "prediction-powered inference" (PPI) involve (i) applying a pre-trained machine learning model to predict the response, and then (ii) using these predictions to…

Methodology · Statistics 2026-02-12 Runjia Zou , Daniela Witten , Brian Williamson

Although conceptually related, variable selection and relative importance (RI) analysis have been treated quite differently in the literature. While RI is typically used for post-hoc model explanation, this paper explores its potential for…

Machine Learning · Statistics 2026-04-24 Tien-En Chang , Argon Chen

After selection with the Group LASSO (or generalized variants such as the overlapping, sparse, or standardized Group LASSO), inference for the selected parameters is unreliable in the absence of adjustments for selection bias. In the…

Methodology · Statistics 2022-08-16 Snigdha Panigrahi , Peter W. MacDonald , Daniel Kessler

Determining the best model or models for a particular data set, a process known as Bayesian model comparison, is a critical part of probabilistic inference. Typically, this process assumes a fixed model-space (that is, a fixed set of…

Quantitative Methods · Quantitative Biology 2019-01-08 Thomas HB FitzGerald , Dorothea Hammerer , Thomas D Sambrook , Will D Penny

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

Methodology · Statistics 2023-03-14 Sifan Liu , Snigdha Panigrahi

The use of machine learning (ML) in high-stakes societal decisions has encouraged the consideration of fairness throughout the ML lifecycle. Although data integration is one of the primary steps to generate high quality training data, most…

Machine Learning · Computer Science 2022-04-01 Sainyam Galhotra , Karthikeyan Shanmugam , Prasanna Sattigeri , Kush R. Varshney

We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design. Covariate information is incorporated both through the weights and the estimating equations. The estimator is based…

Methodology · Statistics 2019-05-03 Sanjay Chaudhuri , Mark S. Handcock

Recent improvements in conditional generative modeling have made it possible to generate high-quality images from language descriptions alone. We investigate whether these methods can directly address the problem of sequential…

Machine Learning · Computer Science 2023-07-11 Anurag Ajay , Yilun Du , Abhi Gupta , Joshua Tenenbaum , Tommi Jaakkola , Pulkit Agrawal

We present a conditional diffusion model - ConDiSim, for simulation-based inference of complex systems with intractable likelihoods. ConDiSim leverages denoising diffusion probabilistic models to approximate posterior distributions,…

Machine Learning · Computer Science 2025-10-17 Mayank Nautiyal , Andreas Hellander , Prashant Singh

We consider the problem of parametric statistical inference when likelihood computations are prohibitively expensive but sampling from the model is possible. Several so-called likelihood-free methods have been developed to perform inference…

Machine Learning · Statistics 2020-09-14 Owen Thomas , Ritabrata Dutta , Jukka Corander , Samuel Kaski , Michael U. Gutmann

Instrumental variable methods are fundamental to causal inference when treatment assignment is confounded by unobserved variables. In this article, we develop a general nonparametric causal framework for identification and learning with…

Methodology · Statistics 2026-02-10 Shuyuan Chen , Peng Zhang , Yifan Cui

Conditional independence testing is a key problem required by many machine learning and statistics tools. In particular, it is one way of evaluating the usefulness of some features on a supervised prediction problem. We propose a novel…

Machine Learning · Statistics 2019-08-02 Marco Henrique de Almeida Inácio , Rafael Izbicki , Rafael Bassi Stern