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Sufficient dimension reduction (SDR) in regression, which reduces the dimension by replacing original predictors with a minimal set of their linear combinations without loss of information, is very helpful when the number of predictors is…

Statistics Theory · Mathematics 2012-11-15 Xin Chen , Changliang Zou , R. Dennis Cook

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

Econometrics · Economics 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

Conventional representation learning methods learn a universal representation that primarily captures dominant semantics, which may not always align with customized downstream tasks. For instance, in animal habitat analysis, researchers…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Honglin Liu , Chao Sun , Peng Hu , Yunfan Li , Xi Peng

For testing conditional independence (CI) of a response Y and a predictor X given covariates Z, the recently introduced model-X (MX) framework has been the subject of active methodological research, especially in the context of MX knockoffs…

Statistics Theory · Mathematics 2022-11-01 Eugene Katsevich , Aaditya Ramdas

We are interested in learning robust models from insufficient data, without the need for any externally pre-trained checkpoints. First, compared to sufficient data, we show why insufficient data renders the model more easily biased to the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Tan Wang , Qianru Sun , Sugiri Pranata , Karlekar Jayashree , Hanwang Zhang

Constraint-based methods are one of the main approaches for causal structure learning that are particularly valued as they are asymptotically guaranteed to find a structure that is Markov equivalent to the causal graph of the system. On the…

Machine Learning · Computer Science 2021-05-24 Ehsan Mokhtarian , Sina Akbari , AmirEmad Ghassami , Negar Kiyavash

Conditional Random Field (CRF) and recurrent neural models have achieved success in structured prediction. More recently, there is a marriage of CRF and recurrent neural models, so that we can gain from both non-linear dense features and…

Computation and Language · Computer Science 2016-11-15 Shuming Ma , Xu Sun

We investigate the use of a non-parametric independence measure, the Hilbert-Schmidt Independence Criterion (HSIC), as a loss-function for learning robust regression and classification models. This loss-function encourages learning models…

Machine Learning · Computer Science 2020-07-14 Daniel Greenfeld , Uri Shalit

With the widespread accumulation of observational data, researchers obtain a new direction to learn counterfactual effects in many domains (e.g., health care and computational advertising) without Randomized Controlled Trials(RCTs).…

Machine Learning · Computer Science 2021-11-01 Guanglin Zhou , Lina Yao , Xiwei Xu , Chen Wang , Liming Zhu

Measurements of systems taken along a continuous functional dimension, such as time or space, are ubiquitous in many fields, from the physical and biological sciences to economics and engineering.Such measurements can be viewed as…

Mutual Information (MI) and Conditional Mutual Information (CMI) are multi-purpose tools from information theory that are able to naturally measure the statistical dependencies between random variables, thus they are usually of central…

Machine Learning · Computer Science 2022-11-22 Bao Duong , Thin Nguyen

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

Parameterizing the approximate posterior of a generative model with neural networks has become a common theme in recent machine learning research. While providing appealing flexibility, this approach makes it difficult to impose or assess…

Machine Learning · Computer Science 2018-11-30 Romain Lopez , Jeffrey Regier , Michael I. Jordan , Nir Yosef

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

While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

Machine Learning · Computer Science 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with exposure variables. When the number of covariates is big, the issue of variable selection…

Statistics Theory · Mathematics 2013-03-05 Jianqing Fan , Yunbei Ma , Wei Dai

We introduce Conformal Interquantile Regression (CIR), a conformal regression method that efficiently constructs near-minimal prediction intervals with guaranteed coverage. CIR leverages black-box machine learning models to estimate outcome…

Machine Learning · Statistics 2026-01-07 Naixin Guo , Rui Luo , Zhixin Zhou

This paper develops a conditional independence (CI) test from a conditional density ratio (CDR) for weakly dependent data. The main contribution is presenting a closed-form expression for the estimated conditional density ratio function…

Methodology · Statistics 2025-04-25 Chunrong Ai , Zixuan Xu , Zheng Zhang

We propose methods to strengthen the invariance properties of representations obtained by contrastive learning. While existing approaches implicitly induce a degree of invariance as representations are learned, we look to more directly…

Machine Learning · Computer Science 2021-03-23 Adam Foster , Rattana Pukdee , Tom Rainforth

Deep ensembles perform better than a single network thanks to the diversity among their members. Recent approaches regularize predictions to increase diversity; however, they also drastically decrease individual members' performances. In…

Machine Learning · Computer Science 2021-01-15 Alexandre Rame , Matthieu Cord