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A shortcoming of black-box supervised learning models is their lack of interpretability or transparency. To facilitate interpretation, post-hoc global variable importance measures (VIMs) are widely used to assign to each predictor or input…

Methodology · Statistics 2025-12-25 Jingyu Zhu , Daniel W. Apley

Learning from Demonstration~(LfD) should capture not only how a task is executed, but also its high-level task structure that explains the demonstrated behavior. As robots become more autonomous, such task representations must be…

Robotics · Computer Science 2026-05-27 Oleh Borys , Karla Stepanova

Most model-free reinforcement learning methods leverage state representations (embeddings) for generalization, but either ignore structure in the space of actions or assume the structure is provided a priori. We show how a policy can be…

Machine Learning · Computer Science 2019-05-16 Yash Chandak , Georgios Theocharous , James Kostas , Scott Jordan , Philip S. Thomas

Molecular-level understanding of the interactions between the constituents of an atomic structure is essential for designing novel materials in various applications. This need goes beyond the basic knowledge of the number and types of…

Latent action learning infers pseudo-action labels from visual transitions, providing an approach to leverage internet-scale video for embodied AI. However, most methods learn latent actions without structural priors that encode the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Hangxing Wei , Xiaoyu Chen , Chuheng Zhang , Tim Pearce , Jianyu Chen , Alex Lamb , Li Zhao , Jiang Bian

Understanding how features interact with each other is of paramount importance in many scientific discoveries and contemporary applications. Yet interaction identification becomes challenging even for a moderate number of covariates. In…

Methodology · Statistics 2016-05-31 Yingying Fan , Yinfei Kong , Daoji Li , Jinchi Lv

We develop a novel deep learning technique, termed Deep Orthogonal Decomposition (DOD), for dimensionality reduction and reduced order modeling of parameter dependent partial differential equations. The approach consists in the construction…

Numerical Analysis · Mathematics 2024-05-15 Nicola Rares Franco , Andrea Manzoni , Paolo Zunino , Jan S. Hesthaven

We propose a novel approach for learning causal response representations. Our method aims to extract directions in which a multidimensional outcome is most directly caused by a treatment variable. By bridging conditional independence…

Machine Learning · Statistics 2025-03-07 Homer Durand , Gherardo Varando , Gustau Camps-Valls

Applied work under interference typically models outcomes as functions of own treatment and a low-dimensional exposure mapping of others' treatments, even when that mapping may be misspecified. We ask what policy object such exposure-based…

Econometrics · Economics 2026-03-27 Yechan Park , Xiaodong Yang

We consider design-based causal inference for spatial experiments in which treatments may have effects that bleed out and feed back in complex ways. Such spatial spillover effects violate the standard ``no interference'' assumption for…

Methodology · Statistics 2024-08-06 Ye Wang , Cyrus Samii , Haoge Chang , P. M. Aronow

Intrinsic image decomposition is the process of recovering the image formation components (reflectance and shading) from an image. Previous methods employ either explicit priors to constrain the problem or implicit constraints as formulated…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Partha Das , Sezer Karaoglu , Theo Gevers

Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

Machine Learning · Statistics 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

Feature importance measures are widely studied and are essential for understanding model behavior, guiding feature selection, and enhancing interpretability. However, many machine learning fitted models involve complex interactions between…

Machine Learning · Statistics 2025-05-26 Camille Little , Lili Zheng , Genevera Allen

Since its introduction, the partial information decomposition (PID) has emerged as a powerful, information-theoretic technique useful for studying the structure of (potentially higher-order) interactions in complex systems. Despite its…

Information Theory · Computer Science 2023-12-11 Thomas F. Varley

The functional ANOVA, or Hoeffding decomposition, provides a principled framework for interpretability by decomposing a model prediction into main effects and higher-order interactions. For independent inputs, this classical decomposition…

Machine Learning · Statistics 2026-05-19 Baptiste Ferrere , Nicolas Bousquet , Fabrice Gamboa , Jean-Michel Loubes

Decomposition methods are often used for producing counterfactual predictions in non-strategic settings. When the outcome of interest arises from a game-theoretic setting where agents are better off by deviating from their strategies after…

Econometrics · Economics 2024-07-03 Nathan Canen , Kyungchul Song

It is an amazing fact that remarkably complex behaviors could emerge from a large collection of very rudimentary dynamical agents through very simple local interactions. However, it still remains elusive on how to design these local…

Multiagent Systems · Computer Science 2011-01-13 Mohammad Karimadini , Hai Lin

Scientists regularly pose questions about treatment effects on outcomes conditional on a post-treatment event. However, causal inference in such settings requires care, even in perfectly executed randomized experiments. Recently, the…

Methodology · Statistics 2026-02-19 Chan Park , Mats Stensrud , Eric Tchetgen Tchetgen

Domain decomposition (DD) methods for solving time-dependent problems can be classified by (i) the method of domain decomposition used, (ii) the choice of decomposition operators (exchange of boundary conditions), and (iii) the splitting…

Numerical Analysis · Computer Science 2014-07-11 Petr Vabishchevich , Petr Zakharov

In an era where diverse and complex data are increasingly accessible, the precise prediction of individual treatment effects (ITE) becomes crucial across fields such as healthcare, economics, and public policy. Current state-of-the-art…

Machine Learning · Statistics 2025-01-28 Baozhen Wang , Xingye Qiao
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