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Probably Approximately Correct (PAC) bounds are widely used to derive probabilistic guarantees for the generalisation of machine learning models. They highlight the components of the model which contribute to its generalisation capacity.…

Machine Learning · Computer Science 2024-07-30 Thomas Walker , Alessio Lomuscio

We provide two main contributions in PAC-Bayesian theory for domain adaptation where the objective is to learn, from a source distribution, a well-performing majority vote on a different, but related, target distribution. Firstly, we…

Machine Learning · Statistics 2019-11-19 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

The goal of active learning is to achieve the same accuracy achievable by passive learning, while using much fewer labels. Exponential savings in terms of label complexity have been proved in very special cases, but fundamental lower bounds…

Machine Learning · Statistics 2026-01-01 Yinglun Zhu , Robert Nowak

Learning tasks play an increasingly prominent role in quantum information and computation. They range from fundamental problems such as state discrimination and metrology over the framework of quantum probably approximately correct (PAC)…

Generalization error bounds are critical to understanding the performance of machine learning models. In this work, we propose a new information-theoretic based generalization error upper bound applicable to supervised learning scenarios.…

Information Theory · Computer Science 2021-01-11 Gholamali Aminian , Laura Toni , Miguel R. D. Rodrigues

In this paper, we are proposing a unified and principled method for both the querying and training processes in deep batch active learning. We are providing theoretical insights from the intuition of modeling the interactive procedure in…

Machine Learning · Computer Science 2020-02-27 Changjian Shui , Fan Zhou , Christian Gagné , Boyu Wang

Active learning aims to achieve greater accuracy with less training data by selecting the most useful data samples from which it learns. Single-criterion based methods (i.e., informativeness and representativeness based methods) are simple…

Machine Learning · Computer Science 2021-07-06 Xueying Zhan , Qing Li , Antoni B. Chan

We study the issue of PAC-Bayesian domain adaptation: We want to learn, from a source domain, a majority vote model dedicated to a target one. Our theoretical contribution brings a new perspective by deriving an upper-bound on the target…

Machine Learning · Statistics 2016-07-27 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

Lengthy evaluation times are common in many optimization problems such as direct policy search tasks, especially when they involve conducting evaluations in the physical world, e.g. in robotics applications. Often when evaluating solution…

Machine Learning · Statistics 2024-03-22 Etor Arza , Leni K. Le Goff , Emma Hart

Deep learning is renowned for its theory-practice gap, whereby principled theory typically fails to provide much beneficial guidance for implementation in practice. This has been highlighted recently by the benign overfitting phenomenon:…

Machine Learning · Statistics 2023-11-14 Liam Hodgkinson , Chris van der Heide , Robert Salomone , Fred Roosta , Michael W. Mahoney

Constraining the parameters of physical models with $>5-10$ parameters is a widespread problem in fields like particle physics and astronomy. The generation of data to explore this parameter space often requires large amounts of…

Machine Learning · Computer Science 2019-11-26 Sascha Caron , Tom Heskes , Sydney Otten , Bob Stienen

In automated machine learning, scientific discovery, and other applications of Bayesian optimization, deciding when to stop evaluating expensive black-box functions in a cost-aware manner is an important but underexplored practical…

Machine Learning · Computer Science 2025-12-29 Qian Xie , Linda Cai , Alexander Terenin , Peter I. Frazier , Ziv Scully

Over the past couple of decades, many active learning acquisition functions have been proposed, leaving practitioners with an unclear choice of which to use. Bayesian-based active learning offers principled objectives with explainable…

Machine Learning · Computer Science 2026-05-12 Kangping Hu , Stephen Mussmann

LLMs utilizing chain-of-thought reasoning often waste substantial compute by producing long, incorrect responses. Abstention can mitigate this by withholding outputs unlikely to be correct. While most abstention methods decide to withhold…

Machine Learning · Computer Science 2026-05-26 Hen Davidov , Nachshon Cohen , Oren Kalinsky , Yaron Fairstein , Guy Kushilevitz , Ram Yazdi , Patrick Rebeschini

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

Machine Learning · Computer Science 2013-05-21 Mehrdad Mahdavi , Rong Jin

The cost of annotating transcriptions for large speech corpora becomes a bottleneck to maximally enjoy the potential capacity of deep neural network-based automatic speech recognition models. In this paper, we present a new training…

Audio and Speech Processing · Electrical Eng. & Systems 2020-11-06 Jihwan Bang , Heesu Kim , YoungJoon Yoo , Jung-Woo Ha

A/B testing is ubiquitous within the machine learning and data science operations of internet companies. Generically, the idea is to perform a statistical test of the hypothesis that a new feature is better than the existing platform---for…

Statistics Theory · Mathematics 2017-10-11 David Goldberg , James E. Johndrow

Minimising upper bounds on the population risk or the generalisation gap has been widely used in structural risk minimisation (SRM) -- this is in particular at the core of PAC-Bayesian learning. Despite its successes and unfailing surge of…

Machine Learning · Statistics 2023-10-30 Paul Viallard , Maxime Haddouche , Umut Şimşekli , Benjamin Guedj

We investigate the in-distribution generalization of machine learning algorithms. We depart from traditional complexity-based approaches by analyzing information-theoretic bounds that quantify the dependence between a learning algorithm and…

Machine Learning · Statistics 2024-08-27 Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

A learning method is self-certified if it uses all available data to simultaneously learn a predictor and certify its quality with a tight statistical certificate that is valid on unseen data. Recent work has shown that neural network…

Machine Learning · Computer Science 2021-12-13 Maria Perez-Ortiz , Omar Rivasplata , Emilio Parrado-Hernandez , Benjamin Guedj , John Shawe-Taylor