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A major problem in machine learning is that of inductive bias: how to choose a learner's hypothesis space so that it is large enough to contain a solution to the problem being learnt, yet small enough to ensure reliable generalization from…

Artificial Intelligence · Computer Science 2011-06-02 J. Baxter

We consider the problem of estimating the expected value of information (the knowledge gradient) for Bayesian learning problems where the belief model is nonlinear in the parameters. Our goal is to maximize some metric, while simultaneously…

Machine Learning · Statistics 2016-11-23 Xinyu He , Warren B. Powell

We introduce the hyperparameter search problem in the field of machine learning and discuss its main challenges from an optimization perspective. Machine learning methods attempt to build models that capture some element of interest based…

Machine Learning · Computer Science 2015-04-07 Marc Claesen , Bart De Moor

In singular models, the optimal set of parameters forms an analytic set with singularities and classical statistical inference cannot be applied to such models. This is significant for deep learning as neural networks are singular and thus…

Machine Learning · Computer Science 2023-12-05 Daniel Murfet , Susan Wei , Mingming Gong , Hui Li , Jesse Gell-Redman , Thomas Quella

Distributed learning provides an attractive framework for scaling the learning task by sharing the computational load over multiple nodes in a network. Here, we investigate the performance of distributed learning for large-scale linear…

Machine Learning · Statistics 2021-11-03 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

We study a class of constrained reinforcement learning (RL) problems in which multiple constraint specifications are not identified before training. It is challenging to identify appropriate constraint specifications due to the undefined…

Optimization and Control · Mathematics 2024-01-02 Dongsheng Ding , Zhengyan Huan , Alejandro Ribeiro

As machine learning is increasingly used to help make decisions, there is a demand for these decisions to be explainable. Arguably, the most explainable machine learning models use decision rules. This paper focuses on decision sets, a type…

Artificial Intelligence · Computer Science 2020-07-31 Jinqiang Yu , Alexey Ignatiev , Peter J. Stuckey , Pierre Le Bodic

We study the problem of detecting planted solutions in a random satisfiability formula. Adopting the formalism of hypothesis testing in statistical analysis, we describe the minimax optimal rates of detection. Our analysis relies on the…

Statistics Theory · Mathematics 2015-02-10 Quentin Berthet

Today's high-stakes adversarial interactions feature attackers who constantly breach the ever-improving security measures. Deception mitigates the defender's loss by misleading the attacker to make suboptimal decisions. In order to formally…

Artificial Intelligence · Computer Science 2020-06-11 Zheyuan Ryan Shi , Ariel D. Procaccia , Kevin S. Chan , Sridhar Venkatesan , Noam Ben-Asher , Nandi O. Leslie , Charles Kamhoua , Fei Fang

Many high dimensional sparse learning problems are formulated as nonconvex optimization. A popular approach to solve these nonconvex optimization problems is through convex relaxations such as linear and semidefinite programming. In this…

Machine Learning · Statistics 2015-03-17 Zhaoran Wang , Quanquan Gu , Han Liu

We consider the following basic learning task: given independent draws from an unknown distribution over a discrete support, output an approximation of the distribution that is as accurate as possible in $\ell_1$ distance (i.e. total…

Machine Learning · Computer Science 2015-11-12 Gregory Valiant , Paul Valiant

Unsupervised and self-supervised learning approaches have become a crucial tool to learn representations for downstream prediction tasks. While these approaches are widely used in practice and achieve impressive empirical gains, their…

Machine Learning · Computer Science 2020-10-23 Siddhant Garg , Yingyu Liang

We present algorithms for efficiently learning regularizers that improve generalization. Our approach is based on the insight that regularizers can be viewed as upper bounds on the generalization gap, and that reducing the slack in the…

Machine Learning · Computer Science 2019-02-25 Matthew Streeter

We propose a scalable method for semi-supervised (transductive) learning from massive network-structured datasets. Our approach to semi-supervised learning is based on representing the underlying hypothesis as a graph signal with small…

Machine Learning · Computer Science 2016-11-03 Alexander Jung , Alfred O. Hero , Alexandru Mara , Sabeur Aridhi

Recognition is the fundamental task of visual cognition, yet how to formalize the general recognition problem for computer vision remains an open issue. The problem is sometimes reduced to the simplest case of recognizing matching pairs,…

Computer Vision and Pattern Recognition · Computer Science 2013-02-20 Walter J. Scheirer , Michael J. Wilber , Michael Eckmann , Terrance E. Boult

Zero-shot recognition (ZSR) deals with the problem of predicting class labels for target domain instances based on source domain side information (e.g. attributes) of unseen classes. We formulate ZSR as a binary prediction problem. Our…

Computer Vision and Pattern Recognition · Computer Science 2016-08-22 Ziming Zhang , Venkatesh Saligrama

Semi-supervised learning is a setting in which one has labeled and unlabeled data available. In this survey we explore different types of theoretical results when one uses unlabeled data in classification and regression tasks. Most methods…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Marco Loog

Applying deep learning to solve real-life instances of hard combinatorial problems has tremendous potential. Research in this direction has focused on the Boolean satisfiability (SAT) problem, both because of its theoretical centrality and…

Artificial Intelligence · Computer Science 2023-06-06 Dimitris Achlioptas , Amrit Daswaney , Periklis A. Papakonstantinou

By the recent advances in computer technology leading to the invention of more powerful processors, the importance of creating models using data training is even greater than ever. Given the significance of this issue, this work tries to…

Optimization and Control · Mathematics 2023-12-27 Saman Khoramian

We present an algorithm for solving binary classification problems when the dataset is not fully representative of the problem being solved, and obtaining more data is not possible. It relies on a trained model with loose accuracy…

Machine Learning · Computer Science 2025-07-11 Adrian de Wynter