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We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

Machine Learning · Statistics 2018-06-04 Reshad Hosseini , Suvrit Sra

Neural networks trained with standard objectives exhibit behaviors characteristic of probabilistic inference: soft clustering, prototype specialization, and Bayesian uncertainty tracking. These phenomena appear across architectures -- in…

Machine Learning · Computer Science 2026-01-01 Alan Oursland

In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the ``Causal Zig-Zag sampler'', that targets a probability distribution over classes…

Machine Learning · Statistics 2024-09-12 Moritz Schauer , Marcel Wienöbst

Domain generalization (DG) aims to learn predictive models that can generalize to unseen domains. Most existing DG approaches focus on learning domain-invariant representations under the assumption of conditional distribution shift (i.e.,…

Machine Learning · Computer Science 2026-02-03 Jewon Yeom , Kyubyung Chae , Hyunggyu Lim , Yoonna Oh , Dongyoon Yang , Taesup Kim

We present an approach for efficiently training Gaussian Mixture Model (GMM) by Stochastic Gradient Descent (SGD) with non-stationary, high-dimensional streaming data. Our training scheme does not require data-driven parameter…

Machine Learning · Computer Science 2021-07-05 Alexander Gepperth , Benedikt Pfülb

The goal of domain generalization (DG) is to enhance the generalization capability of the model learned from a source domain to other unseen domains. The recently developed Sharpness-Aware Minimization (SAM) method aims to achieve this goal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Pengfei Wang , Zhaoxiang Zhang , Zhen Lei , Lei Zhang

An important goal common to domain adaptation and causal inference is to make accurate predictions when the distributions for the source (or training) domain(s) and target (or test) domain(s) differ. In many cases, these different…

Machine Learning · Computer Science 2022-08-31 Sara Magliacane , Thijs van Ommen , Tom Claassen , Stephan Bongers , Philip Versteeg , Joris M. Mooij

We address the problem of unsupervised domain adaptation under the setting of generalized target shift (joint class-conditional and label shifts). For this framework, we theoretically show that, for good generalization, it is necessary to…

Machine Learning · Computer Science 2021-10-20 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Mokhtar Z. Alaya , Maxime Berar , Nicolas Courty

Domain generalization aims to learn a predictive model from multiple different but related source tasks that can generalize well to a target task without the need of accessing any target data. Existing domain generalization methods ignore…

Machine Learning · Computer Science 2022-06-08 William Wei Wang , Gezheng Xu , Ruizhi Pu , Jiaqi Li , Fan Zhou , Changjian Shui , Charles Ling , Christian Gagné , Boyu Wang

Classical supervised learning produces unreliable models when training and target distributions differ, with most existing solutions requiring samples from the target domain. We propose a proactive approach which learns a relationship in…

Machine Learning · Statistics 2019-03-01 Adarsh Subbaswamy , Peter Schulam , Suchi Saria

This paper advances the theory and practice of Domain Generalization (DG) in machine learning. We consider the typical DG setting where the hypothesis is composed of a representation mapping followed by a labeling function. Within this…

Machine Learning · Computer Science 2023-05-23 Boyang Lyu , Thuan Nguyen , Prakash Ishwar , Matthias Scheutz , Shuchin Aeron

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

As machine learning models are increasingly deployed in dynamic environments, it becomes paramount to assess and quantify uncertainties associated with distribution shifts. A distribution shift occurs when the underlying data-generating…

Methodology · Statistics 2024-10-08 Jiawei Ge , Debarghya Mukherjee , Jianqing Fan

We consider the problem of learning causal DAGs in the setting where both observational and interventional data is available. This setting is common in biology, where gene regulatory networks can be intervened on using chemical reagents or…

Methodology · Statistics 2019-02-08 Karren D. Yang , Abigail Katcoff , Caroline Uhler

Existing Unsupervised Domain Adaptation (UDA) literature adopts the covariate shift and conditional shift assumptions, which essentially encourage models to learn common features across domains. However, due to the lack of supervision in…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Zhongqi Yue , Qianru Sun , Xian-Sheng Hua , Hanwang Zhang

Existing calibration algorithms address the problem of covariate shift via unsupervised domain adaptation. However, these methods suffer from the following limitations: 1) they require unlabeled data from the target domain, which may not be…

Machine Learning · Computer Science 2021-10-19 Yunye Gong , Xiao Lin , Yi Yao , Thomas G. Dietterich , Ajay Divakaran , Melinda Gervasio

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

Methodology · Statistics 2022-06-03 Federico Castelletti , Guido Consonni

We develop an algorithm to improve the performance of a pre-trained model under concept shift without retraining the model from scratch when only unannotated samples of initial concepts are accessible. We model this problem as a domain…

Machine Learning · Computer Science 2022-11-22 Mohammad Rostami , Aram Galstyan

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

Artificial Intelligence · Computer Science 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter

Discovering causal structure from purely observational data (i.e., causal discovery), aiming to identify causal relationships among variables, is a fundamental task in machine learning. The recent invention of differentiable score-based DAG…

Machine Learning · Computer Science 2023-12-12 Fangfu Liu , Wenchang Ma , An Zhang , Xiang Wang , Yueqi Duan , Tat-Seng Chua