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Kernel mean embedding (KME) is a powerful tool to analyze probability measures for data, where the measures are conventionally embedded into a reproducing kernel Hilbert space (RKHS). In this paper, we generalize KME to that of von…

Machine Learning · Statistics 2020-07-30 Yuka Hashimoto , Isao Ishikawa , Masahiro Ikeda , Fuyuta Komura , Yoshinobu Kawahara

While causal models are becoming one of the mainstays of machine learning, the problem of uncertainty quantification in causal inference remains challenging. In this paper, we study the causal data fusion problem, where datasets pertaining…

Machine Learning · Statistics 2021-06-08 Siu Lun Chau , Jean-François Ton , Javier González , Yee Whye Teh , Dino Sejdinovic

Covariate shift occurs prevalently in practice, where the input distributions of the source and target data are substantially different. Despite its practical importance in various learning problems, most of the existing methods only focus…

Machine Learning · Statistics 2023-10-20 Xingdong Feng , Xin He , Caixing Wang , Chao Wang , Jingnan Zhang

This paper provides a link between causal inference and machine learning techniques - specifically, Classification and Regression Trees (CART) - in observational studies where the receipt of the treatment is not randomized, but the…

Machine Learning · Computer Science 2019-05-23 Falco J. Bargagli-Stoffi , Giorgio Gnecco

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

An active area of research in the fields of machine learning and statistics is the development of causal discovery algorithms, the purpose of which is to infer the causal relations that hold among a set of variables from the correlations…

Quantum Physics · Physics 2015-03-10 Christopher J. Wood , Robert W. Spekkens

We address the problem of quickest change detection in Markov processes with unknown transition kernels. The key idea is to learn the conditional score $\nabla_{\mathbf{y}} \log p(\mathbf{y}|\mathbf{x})$ directly from sample pairs $(…

Machine Learning · Computer Science 2025-11-07 Wuxia Chen , Taposh Banerjee , Vahid Tarokh

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

A decision-maker must consider cofounding bias when attempting to apply machine learning prediction, and, while feature selection is widely recognized as important process in data-analysis, it could cause cofounding bias. A causal Bayesian…

Machine Learning · Statistics 2020-03-02 Akihiro Yabe

Much of our experiments are designed to uncover the cause(s) and effect(s) behind a data generating mechanism (i.e., phenomenon) we happen to be interested in. Uncovering such relationships allows us to identify the true working of a…

Machine Learning · Computer Science 2023-07-11 M. Z. Naser

When domain knowledge is limited and experimentation is restricted by ethical, financial, or time constraints, practitioners turn to observational causal discovery methods to recover the causal structure, exploiting the statistical…

A Hilbert space embedding for probability measures has recently been proposed, wherein any probability measure is represented as a mean element in a reproducing kernel Hilbert space (RKHS). Such an embedding has found applications in…

Machine Learning · Statistics 2010-03-04 Bharath K. Sriperumbudur , Kenji Fukumizu , Gert R. G. Lanckriet

We present a novel approach to anomaly detection by integrating Generalized Hyperbolic (GH) processes into kernel-based methods. The GH distribution, known for its flexibility in modeling skewness, heavy tails, and kurtosis, helps to…

Machine Learning · Computer Science 2025-01-28 Pauline Bourigault , Danilo P. Mandic

The consistency of a learning method is usually established under the assumption that the observations are a realization of an independent and identically distributed (i.i.d.) or mixing process. Yet, kernel methods such as support vector…

Machine Learning · Computer Science 2024-06-11 Pierre-François Massiani , Sebastian Trimpe , Friedrich Solowjow

Causal discovery algorithms infer causal relations from data based on several assumptions, including notably the absence of measurement error. However, this assumption is most likely violated in practical applications, which may result in…

Machine Learning · Computer Science 2022-08-31 Tineke Blom , Anna Klimovskaia , Sara Magliacane , Joris M. Mooij

The presence of unobserved common causes and measurement error poses two major obstacles to causal structure learning, since ignoring either source of complexity can induce spurious causal relations among variables of interest. We study…

Machine Learning · Computer Science 2026-04-10 Yuqin Yang , Mohamed Nafea , Negar Kiyavash , Kun Zhang , AmirEmad Ghassami

Causal discovery from time-series data aims to capture both intra-slice (contemporaneous) and inter-slice (time-lagged) causality between variables within the temporal chain, which is crucial for various scientific disciplines. Compared to…

Machine Learning · Computer Science 2026-01-26 Rujia Shen , Boran Wang , Chao Zhao , Yi Guan , Jingchi Jiang

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

Machine Learning · Computer Science 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

Debiased collaborative filtering aims to learn an unbiased prediction model by removing different biases in observational datasets. To solve this problem, one of the simple and effective methods is based on the propensity score, which…

Information Retrieval · Computer Science 2024-05-01 Haoxuan Li , Chunyuan Zheng , Yanghao Xiao , Peng Wu , Zhi Geng , Xu Chen , Peng Cui

Domain shift in histopathology, often caused by differences in acquisition processes or data sources, poses a major challenge to the generalization ability of deep learning models. Existing methods primarily rely on modeling statistical…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Kieu-Anh Truong Thi , Huy-Hieu Pham , Duc-Trong Le