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The effort to understand network systems in increasing detail has resulted in a diversity of methods designed to extract their large-scale structure from data. Unfortunately, many of these methods yield diverging descriptions of the same…

Data Analysis, Statistics and Probability · Physics 2015-03-27 Tiago P. Peixoto

We introduce a framework for calibrating machine learning models so that their predictions satisfy explicit, finite-sample statistical guarantees. Our calibration algorithms work with any underlying model and (unknown) data-generating…

Machine Learning · Computer Science 2022-10-03 Anastasios N. Angelopoulos , Stephen Bates , Emmanuel J. Candès , Michael I. Jordan , Lihua Lei

Information field theory (IFT), the information theory for fields, is a mathematical framework for signal reconstruction and non-parametric inverse problems. Artificial intelligence (AI) and machine learning (ML) aim at generating…

Machine Learning · Statistics 2022-03-08 Torsten Enßlin

Ensuring a neural network is not relying on protected attributes (e.g., race, sex, age) for predictions is crucial in advancing fair and trustworthy AI. While several promising methods for removing attribute bias in neural networks have…

Machine Learning · Computer Science 2023-11-17 Jiazhi Li , Mahyar Khayatkhoei , Jiageng Zhu , Hanchen Xie , Mohamed E. Hussein , Wael AbdAlmageed

A common assumption in semi-supervised learning is that the labeled, unlabeled, and test data are drawn from the same distribution. However, this assumption is not satisfied in many applications. In many scenarios, the data is collected…

Information Theory · Computer Science 2022-02-25 Gholamali Aminian , Mahed Abroshan , Mohammad Mahdi Khalili , Laura Toni , Miguel R. D. Rodrigues

In the era of deep learning, understanding over-fitting phenomenon becomes increasingly important. It is observed that carefully designed deep neural networks achieve small testing error even when the training error is close to zero. One…

Machine Learning · Statistics 2018-12-04 Yue Xing , Qifan Song , Guang Cheng

Despite its great success, machine learning can have its limits when dealing with insufficient training data. A potential solution is the additional integration of prior knowledge into the training process which leads to the notion of…

The broad range of neural network training techniques that invoke optimization but rely on ad hoc modification for validity suggests that optimization-based training is misguided. Shortcomings of optimization-based training are brought to…

Machine Learning · Computer Science 2026-02-20 Irina Babayan , Hazhir Aliahmadi , Greg van Anders

In many high-impact applications, it is important to ensure the quality of output of a machine learning algorithm as well as its reliability in comparison with the complexity of the algorithm used. In this paper, we have initiated a…

Machine Learning · Computer Science 2023-03-03 Katarina Doctor , Tong Mao , Hrushikesh Mhaskar

How do we formalize the challenge of credit assignment in reinforcement learning? Common intuition would draw attention to reward sparsity as a key contributor to difficult credit assignment and traditional heuristics would look to temporal…

Machine Learning · Computer Science 2021-03-11 Dilip Arumugam , Peter Henderson , Pierre-Luc Bacon

Information-theoretic bounded rationality describes utility-optimizing decision-makers whose limited information-processing capabilities are formalized by information constraints. One of the consequences of bounded rationality is that…

Machine Learning · Computer Science 2020-06-30 Heinke Hihn , Sebastian Gottwald , Daniel A. Braun

A fundamental question in theoretical machine learning is generalization. Over the past decades, the PAC-Bayesian approach has been established as a flexible framework to address the generalization capabilities of machine learning…

Machine Learning · Computer Science 2024-03-28 Fredrik Hellström , Giuseppe Durisi , Benjamin Guedj , Maxim Raginsky

Machine unlearning seeks to remove the influence of specific training data from a model, a need driven by privacy regulations and robustness concerns. Existing approaches typically modify model parameters, but such updates can be unstable,…

Machine Learning · Computer Science 2026-05-29 Antonio Almudévar , Alfonso Ortega

The accuracy of machine learning systems is a widely studied research topic. Established techniques such as cross-validation predict the accuracy on unseen data of the classifier produced by applying a given learning method to a given…

Machine Learning · Computer Science 2012-12-06 J. E. Smith , P. Caleb-Solly , M. A. Tahir , D. Sannen , H. van-Brussel

Synthetic data has been proposed as a solution to address the issue of high-quality data scarcity in the training of large language models (LLMs). Studies have shown that synthetic data can effectively improve the performance of LLMs on…

Computation and Language · Computer Science 2024-06-19 Jie Chen , Yupeng Zhang , Bingning Wang , Wayne Xin Zhao , Ji-Rong Wen , Weipeng Chen

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Robin A. A. Ince , Simon R. Schultz , Stefano Panzeri

Though deep learning has pushed the boundaries of classification forward, in recent years hints of the limits of standard classification have begun to emerge. Problems such as fooling, adding new classes over time, and the need to retrain…

Artificial Intelligence · Computer Science 2018-07-10 Navid Kardan , Kenneth O. Stanley

In this short note we extend some of the recent results on matrix completion under the assumption that the columns of the matrix can be grouped (clustered) into subspaces (not necessarily disjoint or independent). This model deviates from…

Information Theory · Computer Science 2017-08-04 Vaneet Aggarwal , Shuchin Aeron

Early stopping is a simple and widely used method to prevent over-training neural networks. We develop theoretical results to reveal the relationship between the optimal early stopping time and model dimension as well as sample size of the…

Machine Learning · Computer Science 2022-02-25 Ruoqi Shen , Liyao Gao , Yi-An Ma

One of the greatest research challenges of this century is to understand the neural basis for how behavior emerges in brain-body-environment systems. To this end, research has flourished along several directions but have predominantly…

Neurons and Cognition · Quantitative Biology 2021-06-10 Madhavun Candadai