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Related papers: Causal KL: Evaluating Causal Discovery

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Modern machine learning approaches excel in static settings where a large amount of i.i.d. training data are available for a given task. In a dynamic environment, though, an intelligent agent needs to be able to transfer knowledge and…

Machine Learning · Computer Science 2023-03-13 Jonas Wildberger , Siyuan Guo , Arnab Bhattacharyya , Bernhard Schölkopf

Causal discovery, the task of automatically constructing a causal model from data, is of major significance across the sciences. Evaluating the performance of causal discovery algorithms should ideally involve comparing the inferred models…

Artificial Intelligence · Computer Science 2021-08-26 Maxime Peyrard , Robert West

Selecting an appropriate divergence measure is a critical aspect of machine learning, as it directly impacts model performance. Among the most widely used, we find the Kullback-Leibler (KL) divergence, originally introduced in kinetic…

Mathematical Physics · Physics 2025-07-16 Gennaro Auricchio , Giovanni Brigati , Paolo Giudici , Giuseppe Toscani

Estimating the Kullback-Leibler (KL) divergence between two distributions given samples from them is well-studied in machine learning and information theory. Motivated by considerations of multi-group fairness, we seek KL divergence…

Machine Learning · Computer Science 2022-03-01 Parikshit Gopalan , Nina Narodytska , Omer Reingold , Vatsal Sharan , Udi Wieder

We study the problem of closeness testing for continuous distributions and its implications for causal discovery. Specifically, we analyze the sample complexity of distinguishing whether two multidimensional continuous distributions are…

Machine Learning · Computer Science 2025-03-11 Fateme Jamshidi , Sina Akbari , Negar Kiyavash

The estimation of causal effects with observational data continues to be a very active research area. In recent years, researchers have developed new frameworks which use machine learning to relax classical assumptions necessary for the…

Machine Learning · Statistics 2024-05-01 Jonathan Fuhr , Philipp Berens , Dominik Papies

Generative models have achieved remarkable success across a range of applications, yet their evaluation still lacks principled uncertainty quantification. In this paper, we develop a method for comparing how close different generative…

Machine Learning · Statistics 2025-10-24 Zijun Gao , Yan Sun , Han Su

As systems are getting more autonomous with the development of artificial intelligence, it is important to discover the causal knowledge from observational sensory inputs. By encoding a series of cause-effect relations between events,…

Machine Learning · Computer Science 2020-01-16 Yuhao Wang , Vlado Menkovski , Hao Wang , Xin Du , Mykola Pechenizkiy

Neural Network (Deep Learning) is a modern model in Artificial Intelligence and it has been exploited in Survival Analysis. Although several improvements have been shown by previous works, training an excellent deep learning model requires…

Machine Learning · Statistics 2023-04-14 Li Liu , Xiangeng Fang , Di Wang , Weijing Tang , Kevin He

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

The ability to understand causality from data is one of the major milestones of human-level intelligence. Causal Discovery (CD) algorithms can identify the cause-effect relationships among the variables of a system from related…

Artificial Intelligence · Computer Science 2024-03-14 Uzma Hasan , Emam Hossain , Md Osman Gani

Causal learning is the key to obtaining stable predictions and answering \textit{what if} problems in decision-makings. In causal learning, it is central to seek methods to estimate the average treatment effect (ATE) from observational…

Machine Learning · Statistics 2022-12-07 Yiyan Huang , Cheuk Hang Leung , Qi Wu , Xing Yan

Causal discovery from observational data underpins applications in finance, climate modeling, and machine learning. Constraint-based causal discovery reduces structure learning to a sequence of conditional independence (CI) tests, where…

Quantum Physics · Physics 2026-05-05 Shabnam Sodagari

Estimating the Kullback--Leibler (KL) divergence between language models has many applications, e.g., reinforcement learning from human feedback (RLHF), interpretability, and knowledge distillation. However, computing the exact KL…

Computation and Language · Computer Science 2025-10-28 Afra Amini , Tim Vieira , Ryan Cotterell

The Kullback-Leibler (KL) divergence is a fundamental equation of information theory that quantifies the proximity of two probability distributions. Although difficult to understand by examining the equation, an intuition and understanding…

Information Theory · Computer Science 2014-04-09 Jonathon Shlens

This article presents a novel method for causal discovery with generalized structural equation models suited for analyzing diverse types of outcomes, including discrete, continuous, and mixed data. Causal discovery often faces challenges…

Methodology · Statistics 2023-10-26 Minjie Wang , Xiaotong Shen , Wei Pan

Score-driven (SD) models are a standard tool in statistics and econometrics, with applications in hundreds of published articles in the past decade. We provide an information-theoretic characterization of SD updates based on reductions in…

Statistics Theory · Mathematics 2026-03-05 Ramon de Punder , Timo Dimitriadis , Rutger-Jan Lange

Estimating the Kullback-Leibler (KL) divergence between random variables is a fundamental problem in statistical analysis. For continuous random variables, traditional information-theoretic estimators scale poorly with dimension and/or…

Machine Learning · Computer Science 2025-10-08 Mikil Foss , Andrew Lamperski

Causal discovery and causal effect estimation are two fundamental tasks in causal inference. While many methods have been developed for each task individually, statistical challenges arise when applying these methods jointly: estimating…

Methodology · Statistics 2024-08-21 Paula Gradu , Tijana Zrnic , Yixin Wang , Michael I. Jordan

Many practical decision-making problems in economics and healthcare seek to estimate the average treatment effect (ATE) from observational data. The Double/Debiased Machine Learning (DML) is one of the prevalent methods to estimate ATE in…

Econometrics · Economics 2022-12-07 Yiyan Huang , Cheuk Hang Leung , Xing Yan , Qi Wu , Shumin Ma , Zhiri Yuan , Dongdong Wang , Zhixiang Huang
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