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Conditional independence (CI) constraints are critical for defining and evaluating fairness in machine learning, as well as for learning unconfounded or causal representations. Traditional methods for ensuring fairness either blindly learn…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Jensen Hwa , Qingyu Zhao , Aditya Lahiri , Adnan Masood , Babak Salimi , Ehsan Adeli

We propose the conditional predictive impact (CPI), a consistent and unbiased estimator of the association between one or several features and a given outcome, conditional on a reduced feature set. Building on the knockoff framework of…

Methodology · Statistics 2021-05-14 David S. Watson , Marvin N. Wright

Conditional independence (CI) is central to causal inference, feature selection, and graphical modeling, yet it is untestable in many settings without additional assumptions. Existing CI tests often rely on restrictive structural…

Machine Learning · Computer Science 2025-12-23 Alek Frohlich , Vladimir Kostic , Karim Lounici , Daniel Perazzo , Massimiliano Pontil

We consider the problem of learning the causal MAG of a system from observational data in the presence of latent variables and selection bias. Constraint-based methods are one of the main approaches for solving this problem, but the…

Machine Learning · Computer Science 2021-10-26 Sina Akbari , Ehsan Mokhtarian , AmirEmad Ghassami , Negar Kiyavash

Invariance learning methods aim to learn invariant features in the hope that they generalize under distributional shifts. Although many tasks are naturally characterized by continuous domains, current invariance learning techniques…

Machine Learning · Computer Science 2024-04-24 Yong Lin , Fan Zhou , Lu Tan , Lintao Ma , Jiameng Liu , Yansu He , Yuan Yuan , Yu Liu , James Zhang , Yujiu Yang , Hao Wang

Notions of counterfactual invariance (CI) have proven essential for predictors that are fair, robust, and generalizable in the real world. We propose graphical criteria that yield a sufficient condition for a predictor to be…

Machine Learning · Computer Science 2024-08-12 Francesco Quinzan , Cecilia Casolo , Krikamol Muandet , Yucen Luo , Niki Kilbertus

Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlations or variations of it. In many…

Statistics Theory · Mathematics 2012-11-02 Emre Barut , Jianqing Fan , Anneleen Verhasselt

We propose a method for inferring the conditional independence graph (CIG) of a high-dimensional Gaussian vector time series (discrete-time process) from a finite-length observation. By contrast to existing approaches, we do not rely on a…

Machine Learning · Statistics 2015-10-28 Alexander Jung

When training a deep neural network for image classification, one can broadly distinguish between two types of latent features of images that will drive the classification. We can divide latent features into (i) "core" or "conditionally…

Machine Learning · Statistics 2019-04-16 Christina Heinze-Deml , Nicolai Meinshausen

Structure learning of Conditional Random Fields (CRFs) can be cast into an L1-regularized optimization problem. To avoid optimizing over a fully linked model, gain-based or gradient-based feature selection methods start from an empty model…

Machine Learning · Computer Science 2014-07-01 Ni Lao , Jun Zhu

Recent methods for learning unsupervised visual representations, dubbed contrastive learning, optimize the noise-contrastive estimation (NCE) bound on mutual information between two views of an image. NCE uses randomly sampled negative…

Machine Learning · Computer Science 2020-10-06 Mike Wu , Milan Mosse , Chengxu Zhuang , Daniel Yamins , Noah Goodman

As a fundamental visual attribute, image complexity significantly influences both human perception and the performance of computer vision models. However, accurately assessing and quantifying image complexity remains a challenging task. (1)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Shipeng Liu , Liang Zhao , Dengfeng Chen

The defining challenge for causal inference from observational data is the presence of `confounders', covariates that affect both treatment assignment and the outcome. To address this challenge, practitioners collect and adjust for the…

Machine Learning · Computer Science 2021-07-28 Claudia Shi , Victor Veitch , David Blei

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

Machine Learning · Computer Science 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar

We propose a coefficient of conditional dependence between two random variables $Y$ and $Z$ given a set of other variables $X_1,\ldots,X_p$, based on an i.i.d. sample. The coefficient has a long list of desirable properties, the most…

Statistics Theory · Mathematics 2021-03-30 Mona Azadkia , Sourav Chatterjee

Bayesian inference for inverse problems involves computing expectations under posterior distributions -- e.g., posterior means, variances, or predictive quantities -- typically via Monte Carlo (MC) estimation. When the quantity of interest…

Machine Learning · Statistics 2026-02-26 Ali Siahkoohi , Hyunwoo Oh

Identifying meaningful and independent factors of variation in a dataset is a challenging learning task frequently addressed by means of deep latent variable models. This task can be viewed as learning symmetry transformations preserving…

Machine Learning · Computer Science 2022-11-01 Maxim Samarin , Vitali Nesterov , Mario Wieser , Aleksander Wieczorek , Sonali Parbhoo , Volker Roth

This paper presents a novel approach that leverages domain variability to learn representations that are conditionally invariant to unwanted variability or distractors. Our approach identifies both spurious and invariant latent features…

Machine Learning · Computer Science 2023-07-04 Hananeh Aliee , Ferdinand Kapl , Soroor Hediyeh-Zadeh , Fabian J. Theis

In this paper, we leverage existing statistical methods to better understand feature learning from data. We tackle this by modifying the model-free variable selection method, Feature Ordering by Conditional Independence (FOCI), which is…

Machine Learning · Statistics 2025-02-14 Krunoslav Lehman Pavasovic , David Lopez-Paz , Giulio Biroli , Levent Sagun

We explore fairness from a statistical perspective by selectively utilizing either conditional distance covariance or distance covariance statistics as measures to assess the independence between predictions and sensitive attributes. We…

Machine Learning · Computer Science 2025-12-22 Ruifan Huang , Haixia Liu
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