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Understanding the black-box prediction for neural networks is challenging. To achieve this, early studies have designed influence function (IF) to measure the effect of removing a single training point on neural networks. However, the…

Machine Learning · Computer Science 2023-11-27 Rui Zhang , Shihua Zhang

Assessing the impact the training data on machine learning models is crucial for understanding the behavior of the model, enhancing the transparency, and selecting training data. Influence function provides a theoretical framework for…

Machine Learning · Computer Science 2026-04-21 Yuchen Zhang , Mohammad Mohammadi Amiri

It has recently become popular to define treatment effects for subsets of the target population characterized by variables not observable at the time a treatment decision is made. Characterizing and estimating such treatment effects is…

Statistics Theory · Mathematics 2007-08-30 Marshall M. Joffe , Dylan Small , Chi-Yuan Hsu

General value functions (GVFs) in the reinforcement learning (RL) literature are long-term predictive summaries of the outcomes of agents following specific policies in the environment. Affordances as perceived action possibilities with…

Artificial Intelligence · Computer Science 2021-05-11 Daniel Graves , Johannes Günther , Jun Luo

The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

Interpretability is central to trustworthy machine learning, yet existing metrics rarely quantify how effectively data support an interpretive representation. We propose Interpretive Efficiency, a normalized, task-aware functional that…

Machine Learning · Computer Science 2025-12-09 Ronald Katende

Physics-based reinforcement learning tasks can benefit from simplified physics simulators as they potentially allow near-optimal policies to be learned in simulation. However, such simulators require the latent factors (e.g. mass, friction…

Machine Learning · Computer Science 2022-02-14 Buddhika Laknath Semage , Thommen George Karimpanal , Santu Rana , Svetha Venkatesh

Learning about causal effects in target populations and their subsets may be facilitated by combining information from multiple sources. One major class of study designs that combine information involves appending an index study with data…

Information Filtering Networks (IFNs) provide a powerful framework for modeling complex systems through globally sparse yet locally dense and interpretable structures that capture multivariate dependencies. This review offers a…

Machine Learning · Computer Science 2025-05-08 Tomaso Aste

Classical influence functions face significant challenges when applied to deep neural networks, primarily due to non-invertible Hessians and high-dimensional parameter spaces. We propose the local Bayesian influence function (BIF), an…

Machine Learning · Computer Science 2026-03-03 Philipp Alexander Kreer , Wilson Wu , Maxwell Adam , Zach Furman , Jesse Hoogland

Influence functions estimate effect of individual data points on predictions of the model on test data and were adapted to deep learning in Koh and Liang [2017]. They have been used for detecting data poisoning, detecting helpful and…

Machine Learning · Computer Science 2022-10-04 Nikunj Saunshi , Arushi Gupta , Mark Braverman , Sanjeev Arora

Robins et al. (2008, 2017) applied the theory of higher order influence functions (HOIFs) to derive an estimator of the mean $\psi$ of an outcome Y in a missing data model with Y missing at random conditional on a vector X of continuous…

Statistics Theory · Mathematics 2026-01-27 Lin Liu , Rajarshi Mukherjee , Whitney K. Newey , James M. Robins

Many reinforcement learning (RL) environments consist of independent entities that interact sparsely. In such environments, RL agents have only limited influence over other entities in any particular situation. Our idea in this work is that…

Machine Learning · Computer Science 2021-12-03 Maximilian Seitzer , Bernhard Schölkopf , Georg Martius

Semiparametric inference on average causal effects from observational data is based on assumptions yielding identification of the effects. In practice, several distinct identifying assumptions may be plausible; an analyst has to make a…

Methodology · Statistics 2025-10-07 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

Approximate statistical inference via determination of the asymptotic distribution of a statistic is routinely used for inference in applied medical statistics (e.g. to estimate the standard error of the marginal or conditional risk ratio).…

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…

When we humans look at a video of human-object interaction, we can not only infer what is happening but we can even extract actionable information and imitate those interactions. On the other hand, current recognition or geometric…

Computer Vision and Pattern Recognition · Computer Science 2020-03-27 Kiana Ehsani , Shubham Tulsiani , Saurabh Gupta , Ali Farhadi , Abhinav Gupta

Researchers are often interested in learning not only the effect of treatments on outcomes, but also the pathways through which these effects operate. A mediator is a variable that is affected by treatment and subsequently affects outcome.…

Methodology · Statistics 2021-12-22 Jeremiah Jones , Ashkan Ertefaie , Robert L. Strawderman

In computational reinforcement learning, a growing body of work seeks to express an agent's model of the world through predictions about future sensations. In this manuscript we focus on predictions expressed as General Value Functions:…

Machine Learning · Computer Science 2021-11-23 Alex Kearney , Anna Koop , Johannes Günther , Patrick M. Pilarski

This paper considers a model with general regressors and unobservable factors. An estimator based on iterated principal components is proposed, which is shown to be not only asymptotically normal and oracle efficient, but under certain…

Econometrics · Economics 2025-04-23 Bin Peng , Liangjun Su , Joakim Westerlund , Yanrong Yang