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In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent's objective function that best…

Optimization and Control · Mathematics 2017-07-25 Peyman Mohajerin Esfahani , Soroosh Shafieezadeh-Abadeh , Grani Adiwena Hanasusanto , Daniel Kuhn

A general information transmission model, under independent and identically distributed Gaussian codebook and nearest neighbor decoding rule with processed channel output, is investigated using the performance metric of generalized mutual…

Information Theory · Computer Science 2019-08-23 Wenyi Zhang , Yizhu Wang , Cong Shen , Ning Liang

The principles of statistical mechanics and information theory play an important role in learning and have inspired both theory and the design of numerous machine learning algorithms. The new aspect in this paper is a focus on integrating…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Susanne Still

Machine learning is the study of computer algorithms that can automatically improve based on data and experience. Machine learning algorithms build a model from sample data, called training data, to make predictions or judgments without…

The contribution of this paper is a generalized formulation of correctional learning using optimal transport, which is about how to optimally transport one mass distribution to another. Correctional learning is a framework developed to…

Machine Learning · Computer Science 2023-04-05 Rebecka Winqvist , Inês Lourenco , Francesco Quinzan , Cristian R. Rojas , Bo Wahlberg

Avoiding overfitting is a central challenge in machine learning, yet many large neural networks readily achieve zero training loss. This puzzling contradiction necessitates new approaches to the study of overfitting. Here we quantify…

Information Theory · Computer Science 2022-10-13 Vudtiwat Ngampruetikorn , David J. Schwab

A central question for active learning (AL) is: "what is the optimal selection?" Defining optimality by classifier loss produces a new characterisation of optimal AL behaviour, by treating expected loss reduction as a statistical target for…

Machine Learning · Statistics 2015-02-06 Lewis P. G. Evans , Niall M. Adams , Christoforos Anagnostopoulos

Recently, the concept of teaching has been introduced into machine learning, in which a teacher model is used to guide the training of a student model (which will be used in real tasks) through data selection, loss function design, etc.…

Machine Learning · Computer Science 2021-01-13 Yang Fan , Yingce Xia , Lijun Wu , Shufang Xie , Weiqing Liu , Jiang Bian , Tao Qin , Xiang-Yang Li

A framework is presented for unsupervised learning of representations based on infomax principle for large-scale neural populations. We use an asymptotic approximation to the Shannon's mutual information for a large neural population to…

Machine Learning · Computer Science 2017-03-13 Wentao Huang , Kechen Zhang

Teaching plays a very important role in our society, by spreading human knowledge and educating our next generations. A good teacher will select appropriate teaching materials, impact suitable methodologies, and set up targeted…

Machine Learning · Computer Science 2018-05-11 Yang Fan , Fei Tian , Tao Qin , Xiang-Yang Li , Tie-Yan Liu

In sequential machine teaching, a teacher's objective is to provide the optimal sequence of inputs to sequential learners in order to guide them towards the best model. In this paper we extend this setting from current static one-data-set…

Machine Learning · Computer Science 2020-09-15 Mustafa Mert Celikok , Pierre-Alexandre Murena , Samuel Kaski

Empirical Risk Minimization (ERM) based machine learning algorithms have suffered from weak generalization performance on data obtained from out-of-distribution (OOD). To address this problem, Invariant Risk Minimization (IRM) objective was…

Machine Learning · Computer Science 2021-03-25 Jun-Hyun Bae , Inchul Choi , Minho Lee

In modern physical education, data-driven evaluation methods have gradually attracted attention, especially the quantitative prediction of students' sports performance through machine learning model. The purpose of this study is to use a…

Machine Learning · Computer Science 2024-11-26 Shaoxuan Sun , Jingao Yuan , Yuelin Yang

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

Data quality is a key element for building and optimizing good learning models. Despite many attempts to characterize data quality, there is still a need for rigorous formalization and an efficient measure of the quality from available…

Machine Learning · Computer Science 2023-12-14 Jouseau Roxane , Salva Sébastien , Samir Chafik

Agentic reasoning enables large reasoning models (LRMs) to dynamically acquire external knowledge, but yet optimizing the retrieval process remains challenging due to the lack of dense, principled reward signals. In this paper, we introduce…

Artificial Intelligence · Computer Science 2026-02-10 Senkang Hu , Yong Dai , Yuzhi Zhao , Yihang Tao , Yu Guo , Zhengru Fang , Sam Tak Wu Kwong , Yuguang Fang

In this paper, we develop a novel efficient and robust nonparametric regression estimator under a framework of feedforward neural network. There are several interesting characteristics for the proposed estimator. First, the loss function is…

Methodology · Statistics 2023-09-25 Xuancheng Wang , Ling Zhou , Huazhen Lin

The emerging field of learning-augmented online algorithms uses ML techniques to predict future input parameters and thereby improve the performance of online algorithms. Since these parameters are, in general, real-valued functions, a…

Machine Learning · Computer Science 2022-05-26 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

Iterative machine teaching is a method for selecting an optimal teaching example that enables a student to efficiently learn a target concept at each iteration. Existing studies on iterative machine teaching are based on supervised machine…

Machine Learning · Computer Science 2020-06-30 Mingzhe Yang , Yukino Baba

We study the intrinsic limitations of sequential convex optimization through the lens of feedback information theory. In the oracle model of optimization, an algorithm queries an {\em oracle} for noisy information about the unknown…

Information Theory · Computer Science 2011-09-12 Maxim Raginsky , Alexander Rakhlin
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