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In Gold's framework of inductive inference, the model of partial learning requires the learner to output exactly one correct index for the target object and only the target object infinitely often. Since infinitely many of the learner's…

机器学习 · 计算机科学 2015-07-24 Ziyuan Gao , Frank Stephan , Sandra Zilles

In reinforcement learning, the classic objectives of maximizing discounted and finite-horizon cumulative rewards are PAC-learnable: There are algorithms that learn a near-optimal policy with high probability using a finite amount of samples…

机器学习 · 计算机科学 2023-07-04 Cambridge Yang , Michael Littman , Michael Carbin

The basic problem in the PAC model of computational learning theory is to determine which hypothesis classes are efficiently learnable. There is presently a dearth of results showing hardness of learning problems. Moreover, the existing…

机器学习 · 计算机科学 2014-03-11 Amit Daniely , Nati Linial , Shai Shalev-Shwartz

Statistical learning theory under independent and identically distributed (iid) sampling and online learning theory for worst case individual sequences are two of the best developed branches of learning theory. Statistical learning under…

机器学习 · 统计学 2022-03-14 A. Philip Dawid , Ambuj Tewari

Acquiring new knowledge without forgetting what has been learned in a sequence of tasks is the central focus of continual learning (CL). While tasks arrive sequentially, the training data are often prepared and annotated independently,…

机器学习 · 计算机科学 2024-01-31 Thuy-Trang Vu , Shahram Khadivi , Mahsa Ghorbanali , Dinh Phung , Gholamreza Haffari

Probably Approximately Correct (i.e., PAC) learning is a core concept of sample complexity theory, and efficient PAC learnability is often seen as a natural counterpart to the class P in classical computational complexity. But while the…

计算复杂性 · 计算机科学 2023-04-28 Cornelius Brand , Robert Ganian , Kirill Simonov

About 25 years ago, it came to light that a single combinatorial property determines both an important dividing line in model theory (NIP) and machine learning (PAC-learnability). The following years saw a fruitful exchange of ideas between…

逻辑 · 数学 2019-10-30 Hunter Chase , James Freitag

We consider the problems of robust PAC learning from distributed and streaming data, which may contain malicious errors and outliers, and analyze their fundamental complexity questions. In particular, we establish lower bounds on the…

机器学习 · 计算机科学 2017-03-31 Jiashi Feng

This paper revisits the problem of learning a k-CNF Boolean function from examples in the context of online learning under the logarithmic loss. In doing so, we give a Bayesian interpretation to one of Valiant's celebrated PAC learning…

机器学习 · 计算机科学 2014-03-28 Joel Veness , Marcus Hutter

We propose a general framework for studying adaptive regret bounds in the online learning framework, including model selection bounds and data-dependent bounds. Given a data- or model-dependent bound we ask, "Does there exist some algorithm…

机器学习 · 计算机科学 2020-02-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

To cope with real-world dynamics, an intelligent system needs to incrementally acquire, update, accumulate, and exploit knowledge throughout its lifetime. This ability, known as continual learning, provides a foundation for AI systems to…

机器学习 · 计算机科学 2024-02-07 Liyuan Wang , Xingxing Zhang , Hang Su , Jun Zhu

A classical result in learning theory shows the equivalence of PAC learnability of binary hypothesis classes and the finiteness of VC dimension. Extending this to the multiclass setting was an open problem, which was settled in a recent…

机器学习 · 统计学 2023-03-28 Moses Charikar , Chirag Pabbaraju

This paper introduces a framework for Planning while Learning where an agent is given a goal to achieve in an environment whose behavior is only partially known to the agent. We discuss the tractability of various plan-design processes. We…

人工智能 · 计算机科学 2014-11-17 S. Safra , M. Tennenholtz

The problem of attempting to learn the mapping between data and labels is the crux of any machine learning task. It is, therefore, of interest to the machine learning community on practical as well as theoretical counts to consider the…

机器学习 · 计算机科学 2022-10-21 Sairaam Venkatraman , S Balasubramanian , R Raghunatha Sarma

Continual learning is an online paradigm where a learner continually accumulates knowledge from different tasks encountered over sequential time steps. Importantly, the learner is required to extend and update its knowledge without…

机器学习 · 统计学 2025-10-16 Tameem Adel

There has been much recent interest in understanding the continuum from adversarial to stochastic settings in online learning, with various frameworks including smoothed settings proposed to bridge this gap. We consider the more general and…

机器学习 · 统计学 2025-06-19 Moïse Blanchard , Samory Kpotufe

In Ben-David et al.'s "Learnability Can Be Undecidable," they prove an independence result in theoretical machine learning. In particular, they define a new type of learnability, called Estimating The Maximum (EMX) learnability. They argue…

机器学习 · 计算机科学 2019-09-19 William Taylor

We resolve an open problem of Hanneke on the subject of universally consistent online learning with non-i.i.d. processes and unbounded losses. The notion of an optimistically universal learning rule was defined by Hanneke in an effort to…

机器学习 · 统计学 2022-01-25 Moise Blanchard , Romain Cosson , Steve Hanneke

We propose a new variant of online learning that we call "ambiguous online learning". In this setting, the learner is allowed to produce multiple predicted labels. Such an "ambiguous prediction" is considered correct when at least one of…

机器学习 · 计算机科学 2026-01-13 Vanessa Kosoy

Distance learning is not a novel concept. Education or learning conducted online is a form of distance education. Online learning presents a convenient alternative to traditional learning. Numerous researchers have investigated the usage of…

计算机与社会 · 计算机科学 2023-03-28 J. Dulangi Kanchana , Gayashan Amarasinghe , Vishaka Nanayakkara , Amal Shehan Perera