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We propose a sequential, anytime-valid method to test the conditional independence of a response $Y$ and a predictor $X$ given a random vector $Z$. The proposed test is based on e-statistics and test martingales, which generalize likelihood…

Methodology · Statistics 2023-02-22 Peter Grünwald , Alexander Henzi , Tyron Lardy

Image Auto-regressive (AR) models have emerged as a powerful paradigm of visual generative models. Despite their promising performance, they suffer from slow generation speed due to the large number of sampling steps required. Although…

Machine Learning · Computer Science 2025-10-27 Enshu Liu , Qian Chen , Xuefei Ning , Shengen Yan , Guohao Dai , Zinan Lin , Yu Wang

Conditional independence (CI) testing is a fundamental and challenging task in modern statistics and machine learning. Many modern methods for CI testing rely on powerful supervised learning methods to learn regression functions or Bayes…

Machine Learning · Statistics 2023-10-31 Felipe Maia Polo , Yuekai Sun , Moulinath Banerjee

Obtaining the free energies of condensed phase chemical reactions remains computationally prohibitive for high-level quantum mechanical methods. We introduce a hierarchical machine learning framework that bridges this gap by distilling…

Chemical Physics · Physics 2026-03-19 Chenghan Li , Garnet Kin-Lic Chan

Independence testing is a classical statistical problem that has been extensively studied in the batch setting when one fixes the sample size before collecting data. However, practitioners often prefer procedures that adapt to the…

Machine Learning · Statistics 2025-05-21 Aleksandr Podkopaev , Patrick Blöbaum , Shiva Prasad Kasiviswanathan , Aaditya Ramdas

Personalized medicine seeks to identify the causal effect of treatment for a particular patient as opposed to a clinical population at large. Most investigators estimate such personalized treatment effects by regressing the outcome of a…

Machine Learning · Statistics 2021-09-02 Eric V. Strobl , Shyam Visweswaran

In this work we aim to obtain computationally-efficient uncertainty estimates with deep networks. For this, we propose a modified knowledge distillation procedure that achieves state-of-the-art uncertainty estimates both for in and…

Machine Learning · Computer Science 2019-06-14 Erik Englesson , Hossein Azizpour

Self-Distillation is a special type of knowledge distillation where the student model has the same architecture as the teacher model. Despite using the same architecture and the same training data, self-distillation has been empirically…

Machine Learning · Computer Science 2024-07-08 Divyansh Pareek , Simon S. Du , Sewoong Oh

Constraint-based causal discovery relies on numerous conditional independence tests (CITs), but its practical applicability is severely constrained by the prohibitive computational cost, especially as CITs themselves have high time…

Machine Learning · Computer Science 2026-03-02 Zhengkang Guan , Kun Kuang

Recent studies have shown that reinforcement learning with verifiable rewards (RLVR) enhances overall accuracy (pass@1) but often fails to improve capability (pass@k) of LLMs in reasoning tasks, while distillation can improve both. In this…

Artificial Intelligence · Computer Science 2025-11-03 Minwu Kim , Anubhav Shrestha , Safal Shrestha , Aadim Nepal , Keith Ross

Modern machine learning models are highly expressive but notoriously difficult to analyze statistically. In particular, while black-box predictors can achieve strong empirical performance, they rarely provide valid hypothesis tests or…

Machine Learning · Computer Science 2026-03-10 Mohamed Salem

Dataset distillation has emerged as a promising approach in deep learning, enabling efficient training with small synthetic datasets derived from larger real ones. Particularly, distribution matching-based distillation methods attract…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Wenxiao Deng , Wenbin Li , Tianyu Ding , Lei Wang , Hongguang Zhang , Kuihua Huang , Jing Huo , Yang Gao

We consider the conditional randomization test as a way to account for covariate imbalance in randomized experiments. The test accounts for covariate imbalance by comparing the observed test statistic to the null distribution of the test…

Randomization tests allow simple and unambiguous tests of null hypotheses, by comparing observed data to a null ensemble in which experimentally-controlled variables are randomly resampled. In behavioral and neuroscience experiments,…

Methodology · Statistics 2023-11-08 Kenneth D. Harris , Kevin J. Miller

Calibrated estimates of uncertainty are critical for many real-world computer vision applications of deep learning. While there are several widely-used uncertainty estimation methods, dropout inference stands out for its simplicity and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Yichen Shen , Zhilu Zhang , Mert R. Sabuncu , Lin Sun

We consider the problem of conditional independence testing of $X$ and $Y$ given $Z$ where $X,Y$ and $Z$ are three real random variables and $Z$ is continuous. We focus on two main cases - when $X$ and $Y$ are both discrete, and when $X$…

Statistics Theory · Mathematics 2021-07-05 Matey Neykov , Sivaraman Balakrishnan , Larry Wasserman

Dataset distillation compresses a large dataset into a small synthetic dataset such that learning on the synthetic dataset approximates learning on the original. Training on the distilled dataset can be performed in as little as one step of…

Machine Learning · Computer Science 2025-08-14 Connor Wilhelm , Dan Ventura

Models trained on data composed of different groups or domains can suffer from severe performance degradation under distribution shifts. While recent methods have largely focused on optimizing the worst-group objective, this often comes at…

Machine Learning · Computer Science 2024-06-06 Hoang Phan , Andrew Gordon Wilson , Qi Lei

Advances in large language models (LLMs) significantly enhance reasoning capabilities but their deployment is restricted in resource-constrained scenarios. Knowledge distillation addresses this by transferring knowledge from powerful…

Computation and Language · Computer Science 2025-08-26 Zhenyu Lei , Zhen Tan , Song Wang , Yaochen Zhu , Zihan Chen , Yushun Dong , Jundong Li

We propose the holdout randomization test (HRT), an approach to feature selection using black box predictive models. The HRT is a specialized version of the conditional randomization test (CRT; Candes et al., 2018) that uses data splitting…

Methodology · Statistics 2021-03-23 Wesley Tansey , Victor Veitch , Haoran Zhang , Raul Rabadan , David M. Blei