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Causal inference methods such as instrumental variables, regression discontinuity, and difference-in-differences are widely used to identify and estimate treatment effects. However, when outcomes are qualitative, their application poses…

Econometrics · Economics 2025-06-30 Riccardo Di Francesco , Giovanni Mellace

We propose and axiomatize the categorical thinking model (CTM) in which the framing of the decision problem affects how agents categorize alternatives, that in turn affects their evaluation of it. Prominent models of salience, status quo…

Theoretical Economics · Economics 2021-02-02 Andrew Ellis , Yusufcan Masatlioglu

Explaining the decision process of machine learning algorithms is nowadays crucial for both model's performance enhancement and human comprehension. This can be achieved by assessing the variable importance of single variables, even for…

Machine Learning · Computer Science 2023-12-19 Ahmad Chamma , Bertrand Thirion , Denis A. Engemann

Generalised Bayesian Inference (GBI) attempts to address model misspecification in a standard Bayesian setup by tempering the likelihood. The likelihood is raised to a fractional power, called the learning rate, which reduces its importance…

Methodology · Statistics 2025-01-22 Schyan Zafar , Geoff K. Nicholls

Correlation and similarity measures are widely used in all the areas of sciences and social sciences. Often the variables are not numbers but are instead qualitative descriptors called categorical data. We define and study similarity…

Data Analysis, Statistics and Probability · Physics 2015-10-08 Aashay Patil , M. S. Santhanam

This paper clarifies a fundamental difference between causal inference and traditional statistical inference by formalizing a mathematical distinction between their respective parameters. We connect two major approaches to causal inference,…

Methodology · Statistics 2025-08-29 Muye Liu , Jun Xie

Graph Neural Networks (GNNs) are able to achieve high classification accuracy on many important real world datasets, but provide no rigorous notion of predictive uncertainty. Quantifying the confidence of GNN models is difficult due to the…

Machine Learning · Statistics 2024-01-10 Jase Clarkson

In recent years, there has been a growing interest in using machine learning techniques for the estimation of treatment effects. Most of the best-performing methods rely on representation learning strategies that encourage shared behavior…

Machine Learning · Computer Science 2024-04-19 Roger Pros , Jordi Vitrià

We present a methodology for model evaluation and selection where the sampling mechanism violates the i.i.d. assumption. Our methodology involves a formulation of the bias between the standard Cross-Validation (CV) estimator and the mean…

Methodology · Statistics 2025-03-14 Oren Yuval , Saharon Rosset

Zero-inflated outcomes, where responses are zero with positive probability and otherwise continuous, are common in biomedical, environmental, and social science studies. We propose a conformal prediction based framework that provides…

Conformal inference, cross-validation+, and the jackknife+ are hold-out methods that can be combined with virtually any machine learning algorithm to construct prediction sets with guaranteed marginal coverage. In this paper, we develop…

Methodology · Statistics 2021-02-24 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

While generative adversarial networks (GAN) are popular for their higher sample quality as opposed to other generative models like the variational autoencoders (VAE) and Boltzmann machines, they suffer from the same difficulty of the…

Machine Learning · Computer Science 2021-12-17 Harshvardhan GM , Aanchal Sahu , Mahendra Kumar Gourisaria

Conditional Feature Importance (CFI) is a classical variable importance measure that accounts for the relationship between the studied feature and the others. However, CFI has not yet been studied from a theoretical perspective because the…

Statistics Theory · Mathematics 2026-02-03 Angel Reyero-Lobo , Pierre Neuvial , Bertrand Thirion

We consider sequential decision making problems for binary classification scenario in which the learner takes an active role in repeatedly selecting samples from the action pool and receives the binary label of the selected alternatives.…

Machine Learning · Statistics 2015-10-09 Yingfei Wang , Chu Wang , Warren Powell

The logic of Dependence and Independence Bunched Implications (DIBI) is a logic to reason about conditional independence (CI); for instance, DIBI formulas can characterise CI in probability distributions and relational databases, using the…

Logic in Computer Science · Computer Science 2024-01-12 Tao Gu , Jialu Bao , Justin Hsu , Alexandra Silva , Fabio Zanasi

This paper introduces Kernel-based Information Criterion (KIC) for model selection in regression analysis. The novel kernel-based complexity measure in KIC efficiently computes the interdependency between parameters of the model using a…

Machine Learning · Statistics 2014-12-16 Somayeh Danafar , Kenji Fukumizu , Faustino Gomez

Generalized Category Discovery (GCD) aims to discover novel categories in unlabelled datasets using knowledge learned from labelled samples. Previous studies argued that parametric classifiers are prone to overfitting to seen categories,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Xin Wen , Bingchen Zhao , Xiaojuan Qi

This paper introduces a novel approach to Generalized Category Discovery (GCD) by leveraging the concept of contextuality to enhance the identification and classification of categories in unlabeled datasets. Drawing inspiration from human…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Tingzhang Luo , Mingxuan Du , Jiatao Shi , Xinxiang Chen , Bingchen Zhao , Shaoguang Huang

Accurate conditional prediction in the regression setting plays an important role in many real-world problems. Typically, a point prediction often falls short since no attempt is made to quantify the prediction accuracy. Classically, under…

Methodology · Statistics 2025-09-04 Kejin Wu , Dimitris N. Politis

Proximal causal inference (PCI) has emerged as a promising framework for identifying and estimating causal effects in the presence of unobserved confounders. While many traditional causal inference methods rely on the assumption of no…

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