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Design-based causal inference, also known as randomization-based or finite-population causal inference, is one of the most widely used causal inference frameworks, largely due to the merit that its validity can be guaranteed by study design…

Methodology · Statistics 2025-05-27 Siyu Heng , Jiawei Zhang , Yang Feng

We consider learning from labeled data collected across multiple environments, where the data distribution may vary across these environments. This problem is commonly approached from a causal perspective, seeking invariant representations…

Machine Learning · Statistics 2026-04-30 Yuli Slavutsky , David M. Blei

A general mean field theory is presented for the construction of equilibrium coarse grained models. Inverse methods that reconstruct microscopic models from low resolution experimental data can be derived as particular implementations of…

Statistical Mechanics · Physics 2010-07-13 Luca Larini , Vinod Krishna

Identifying latent representations or causal structures is important for good generalization and downstream task performance. However, both fields have been developed rather independently. We observe that several methods in both…

Machine Learning · Statistics 2025-02-11 Patrik Reizinger , Siyuan Guo , Ferenc Huszár , Bernhard Schölkopf , Wieland Brendel

We consider the problem of statistical inference on parameters of a target population when auxiliary observations are available from related populations. We propose a flexible empirical Bayes approach that can be applied on top of any…

Statistics Theory · Mathematics 2023-12-15 Michael Law , Peter Bühlmann , Ya'acov Ritov

When observations are organized into groups where commonalties exist amongst them, the dependent random measures can be an ideal choice for modeling. One of the propositions of the dependent random measures is that the atoms of the…

Machine Learning · Statistics 2016-06-28 Cheng Luo , Richard Yi Da Xu , Yang Xiang

Constructing valid inferential methods for constrained parameters in normal and Poisson distributions represents two fundamental and important problems in applied statistics, for which there is currently no unified framework for statistical…

Methodology · Statistics 2026-04-13 Hezhi Lu , Qijun Wu

Learning models that offer robust out-of-distribution generalization and fast adaptation is a key challenge in modern machine learning. Modelling causal structure into neural networks holds the promise to accomplish robust zero and few-shot…

Machine Learning · Computer Science 2022-06-10 Nino Scherrer , Anirudh Goyal , Stefan Bauer , Yoshua Bengio , Nan Rosemary Ke

Categorical random variables are a common staple in machine learning methods and other applications across disciplines. Many times, correlation within categorical predictors exists, and has been noted to have an effect on various algorithm…

Probability · Mathematics 2017-01-25 Rachel Traylor

Interpretability of learning-to-rank models is a crucial yet relatively under-examined research area. Recent progress on interpretable ranking models largely focuses on generating post-hoc explanations for existing black-box ranking models,…

Complex data usually results from the interaction of objects produced by different generating mechanisms. Here we introduce a universal, unsupervised and parameter-free model-oriented approach, based upon the seminal concept of algorithmic…

Artificial Intelligence · Computer Science 2018-09-14 Hector Zenil , Narsis A. Kiani , Allan A. Zea , Jesper Tegnér

Selective inference methods are developed for group lasso estimators for use with a wide class of distributions and loss functions. The method includes the use of exponential family distributions, as well as quasi-likelihood modeling for…

Methodology · Statistics 2024-03-28 Yiling Huang , Sarah Pirenne , Snigdha Panigrahi , Gerda Claeskens

The mean field methods, which entail approximating intractable probability distributions variationally with distributions from a tractable family, enjoy high efficiency, guaranteed convergence, and provide lower bounds on the true…

Machine Learning · Computer Science 2012-12-12 Eric P. Xing , Michael I. Jordan , Stuart Russell

Inferring causal structure poses a combinatorial search problem that typically involves evaluating structures with a score or independence test. The resulting search is costly, and designing suitable scores or tests that capture prior…

Machine Learning · Computer Science 2022-12-16 Lars Lorch , Scott Sussex , Jonas Rothfuss , Andreas Krause , Bernhard Schölkopf

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

Machine Learning · Computer Science 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

We propose a way to construct fiducial distributions for a multidimensional parameter using a step-by-step conditional procedure related to the inferential importance of the components of the parameter. For discrete models, in which the…

Statistics Theory · Mathematics 2016-12-07 Piero Veronese , Eugenio Melilli

Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam

Statistical machine learning theory often tries to give generalization guarantees of machine learning models. Those models naturally underlie some fluctuation, as they are based on a data sample. If we were unlucky, and gathered a sample…

Machine Learning · Computer Science 2022-11-21 Alexander Mey

Normalizing flows provide a general mechanism for defining expressive probability distributions, only requiring the specification of a (usually simple) base distribution and a series of bijective transformations. There has been much recent…

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