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In this paper, we introduce Partial Information Decomposition of Features (PIDF), a new paradigm for simultaneous data interpretability and feature selection. Contrary to traditional methods that assign a single importance value, our…

Machine Learning · Computer Science 2025-11-17 Charles Westphal , Stephen Hailes , Mirco Musolesi

Machine learning methods often assume that input features are available at no cost. However, in domains like healthcare, where acquiring features could be expensive or harmful, it is necessary to balance a feature's acquisition cost against…

Machine Learning · Statistics 2025-04-18 Henrik von Kleist , Alireza Zamanian , Ilya Shpitser , Narges Ahmidi

Video prediction is a crucial task for intelligent agents such as robots and autonomous vehicles, since it enables them to anticipate and act early on time-critical incidents. State-of-the-art video prediction methods typically model the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Eliyas Suleyman , Paul Henderson , Nicolas Pugeault

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

Interactions play a key role in understanding objects and scenes, for both virtual and real world agents. We introduce a new general representation for proximal interactions among physical objects that is agnostic to the type of objects or…

We study partial fraction decompositions (PFDs) in several variables using tools from commutative algebra. We give criteria for when a rational function with poles on a hyperplane arrangement has a desirable PFD. Our criteria are obtained…

Commutative Algebra · Mathematics 2026-03-25 Claire de Korte , Teresa Yu

The fundamental problem in treatment effect estimation from observational data is confounder identification and balancing. Most of the previous methods realized confounder balancing by treating all observed pre-treatment variables as…

Methodology · Statistics 2021-10-13 Anpeng Wu , Kun Kuang , Junkun Yuan , Bo Li , Runze Wu , Qiang Zhu , Yueting Zhuang , Fei Wu

Despite the impressive performance of biological and artificial networks, an intuitive understanding of how their local learning dynamics contribute to network-level task solutions remains a challenge to this date. Efforts to bring learning…

Information Theory · Computer Science 2025-03-27 Abdullah Makkeh , Marcel Graetz , Andreas C. Schneider , David A. Ehrlich , Viola Priesemann , Michael Wibral

To understand a complex action, multiple sources of information, including appearance, positional, and semantic features, need to be integrated. However, these features are difficult to be fused since they often differ significantly in…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Rui Yan , Lingxi Xie , Xiangbo Shu , Jinhui Tang

Several recent papers investigate Active Learning (AL) for mitigating the data dependence of deep learning for natural language processing. However, the applicability of AL to real-world problems remains an open question. While in…

Computation and Language · Computer Science 2018-09-25 Aditya Siddhant , Zachary C. Lipton

Multi-agent reinforcement learning (MARL) provides a promising paradigm for coordinating multi-agent systems (MAS). However, most existing methods rely on restrictive assumptions, such as a fixed number of agents and fully synchronous…

Multiagent Systems · Computer Science 2026-02-17 Yexin Li , Jinjin Guo , Haoyu Zhang , Yuhan Zhao , Yiwen Sun , Zihao Jiao

Relational DBMSs continue to dominate the database market, and inference problem on external schema of relational DBMS's is still an important issue in terms of data privacy.Especially for the last 10 years, external schema construction for…

Databases · Computer Science 2018-03-02 Ugur Turan , Ismail H. Toroslu , Murat Kantarcioglu

Mediation analysis is concerned with the decomposition of the total effect of an exposure on an outcome into the indirect effect through a given mediator, and the remaining direct effect. This is ideally done using longitudinal measurements…

Statistics Theory · Mathematics 2019-12-04 Murthy N Mittinty , Stijn Vansteelandt

In product design, a decomposition of the overall product function into a set of smaller, interacting functions is usually considered a crucial first step for any computer-supported design tool. Here, we propose a new approach for the…

Artificial Intelligence · Computer Science 2023-02-10 Philipp Rosenthal , Niels Demke , Frank Mantwill , Oliver Niggemann

Treatment effect estimation is essential for informed decision-making in many fields such as healthcare, economics, and public policy. While flexible machine learning models have been widely applied for estimating heterogeneous treatment…

Machine Learning · Computer Science 2025-09-29 Pascal Memmesheimer , Vincent Heuveline , Jürgen Hesser

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

In an ever-increasing interest for Machine Learning (ML) and a favorable data development context, we here propose an original methodology for data-based prediction of two-dimensional physical fields. Polynomial Chaos Expansion (PCE),…

Computational Physics · Physics 2021-02-03 Rem-Sophia Mouradi , Cédric Goeury , Olivier Thual , Fabrice Zaoui , Pablo Tassi

Understanding the behavior of a black-box model with probabilistic inputs can be based on the decomposition of a parameter of interest (e.g., its variance) into contributions attributed to each coalition of inputs (i.e., subsets of inputs).…

Statistics Theory · Mathematics 2023-01-09 Marouane Il Idrissi , Nicolas Bousquet , Fabrice Gamboa , Bertrand Iooss , Jean-Michel Loubes

The Empirical Mode Decomposition (EMD) provides a tool to characterize time series in terms of its implicit components oscillating at different time-scales. We apply this decomposition to intraday time series of the following three…

Computational Engineering, Finance, and Science · Computer Science 2018-04-04 Noemi Nava , T. Di Matteo , Tomaso Aste

Linear least-squares regression with a "design" matrix A approximates a given matrix B via minimization of the spectral- or Frobenius-norm discrepancy ||AX-B|| over every conformingly sized matrix X. Another popular approximation is…

Methodology · Statistics 2024-04-09 Mark Tygert