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In reinforcement learning, state representations are used to tractably deal with large problem spaces. State representations serve both to approximate the value function with few parameters, but also to generalize to newly encountered…

Machine Learning · Computer Science 2022-03-02 Charline Le Lan , Stephen Tu , Adam Oberman , Rishabh Agarwal , Marc G. Bellemare

We derive analytical expressions for the generalization performance of kernel regression as a function of the number of training samples using theoretical methods from Gaussian processes and statistical physics. Our expressions apply to…

Machine Learning · Computer Science 2021-02-26 Blake Bordelon , Abdulkadir Canatar , Cengiz Pehlevan

Medical and population health science researchers frequently make ambiguous statements about whether they believe their study sample or results are "representative" of some (implicit or explicit) target population. Here, we provide a…

Applications · Statistics 2022-11-14 Jacqueline E. Rudolph , Yongqi Zhong , Priya Duggal , Shruti H. Mehta , Bryan Lau

Generalization and invariance are two essential properties of any machine learning model. Generalization captures a model's ability to classify unseen data while invariance measures consistency of model predictions on transformations of the…

Machine Learning · Computer Science 2022-07-15 Weijian Deng , Stephen Gould , Liang Zheng

With increasing interest in explaining machine learning (ML) models, the first part of this two-part study synthesizes recent research on methods for explaining global and local aspects of ML models. This study distinguishes explainability…

Machine Learning · Statistics 2022-11-17 Montgomery Flora , Corey Potvin , Amy McGovern , Shawn Handler

Explaining decisions of black-box classifiers is both important and computationally challenging. In this paper, we scrutinize explainers that generate feature-based explanations from samples or datasets. We start by presenting a set of…

Artificial Intelligence · Computer Science 2024-08-13 Leila Amgoud , Martin C. Cooper , Salim Debbaoui

Generalization of machine learning models trained on a set of source domains on unseen target domains with different statistics, is a challenging problem. While many approaches have been proposed to solve this problem, they only utilize…

Machine Learning · Computer Science 2021-07-20 Prashant Pandey , Mrigank Raman , Sumanth Varambally , Prathosh AP

We consider a general regularised interpolation problem for learning a parameter vector from data. The well known representer theorem says that under certain conditions on the regulariser there exists a solution in the linear span of the…

Functional Analysis · Mathematics 2019-05-14 Kevin Schlegel

Generative models are invaluable in many fields of science because of their ability to capture high-dimensional and complicated distributions, such as photo-realistic images, protein structures, and connectomes. How do we evaluate the…

Large-scale pretraining instills large amounts of knowledge in deep neural networks. This, in turn, improves the generalization behavior of these models in downstream tasks. What exactly are the limits to the generalization benefits of…

Computation and Language · Computer Science 2022-12-23 A. Emin Orhan

This paper addresses the problem of making statistical inference about a population that can only be identified through classifier predictions. The problem is motivated by scientific studies in which human labels of a population are…

Applications · Statistics 2021-06-15 Ciaran Evans , Zara Y. Weinberg , Manojkumar A. Puthenveedu , Max G'Sell

In this paper, we present a dual representation of the influence functions, whose computational complexity scales with dataset size rather than model size. Both analytically and experimentally, we show that this representation can be an…

Machine Learning · Computer Science 2026-05-13 Zhenhuan Sun , Shahrokh Valaee

Estimating the relative importance of each sample in a training set has important practical and theoretical value, such as in importance sampling or curriculum learning. This kind of focus on individual samples invokes the concept of…

Machine Learning · Computer Science 2019-01-09 Seung-Geon Lee , Jaedeok Kim , Hyun-Joo Jung , Yoonsuck Choe

Combinatorial optimization plays an important role in real-world problem solving. In the big data era, the dimensionality of a combinatorial optimization problem is usually very large, which poses a significant challenge to existing…

Machine Learning · Computer Science 2020-09-09 Yuan Sun , Andreas Ernst , Xiaodong Li , Jake Weiner

We propose to explain the predictions of a deep neural network, by pointing to the set of what we call representer points in the training set, for a given test point prediction. Specifically, we show that we can decompose the pre-activation…

Machine Learning · Computer Science 2018-11-27 Chih-Kuan Yeh , Joon Sik Kim , Ian E. H. Yen , Pradeep Ravikumar

Machine learning (ML) models have difficulty generalizing when the number of training class instances are numerically imbalanced. The problem of generalization in the face of data imbalance has largely been attributed to the lack of…

Machine Learning · Computer Science 2024-07-16 Damien A. Dablain , Nitesh V. Chawla

Practitioners in diverse fields such as healthcare, economics and education are eager to apply machine learning to improve decision making. The cost and impracticality of performing experiments and a recent monumental increase in electronic…

Machine Learning · Computer Science 2023-08-01 Fredrik D. Johansson , Uri Shalit , Nathan Kallus , David Sontag

Interpretability and uncertainty quantification in machine learning can provide justification for decisions, promote scientific discovery and lead to a better understanding of model behavior. Symbolic regression provides inherently…

Neural and Evolutionary Computing · Computer Science 2022-11-23 G. F. Bomarito , P. E. Leser , N. C. M Strauss , K. M. Garbrecht , J. D. Hochhalter

Real-world generalization, e.g., deciding to approach a never-seen-before animal, relies on contextual information as well as previous experiences. Such a seemingly easy behavioral choice requires the interplay of multiple neural…

Neurons and Cognition · Quantitative Biology 2022-01-17 Peer Herholz , Eddy Fortier , Mariya Toneva , Nicolas Farrugia , Leila Wehbe , Valentina Borghesani

Calibration is a pivotal aspect in predictive modeling, as it ensures that the predictions closely correspond with what we observe empirically. The contemporary calibration framework, however, is predominantly focused on prediction models…

Methodology · Statistics 2023-09-18 Bavo De Cock Campo