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The new ingredient of this paper is that we consider infinitely dimensional classes of functions and instead of the relative error setting, which was used in previous papers on norm discretization, we consider the absolute error setting. We…

数值分析 · 数学 2018-12-20 Vladimir Temlyakov

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

机器学习 · 计算机科学 2026-03-02 Sajad Ashkezari

Recently, the authors introduced the theory of high-arity PAC learning, which is well-suited for learning graphs, hypergraphs and relational structures. In the same initial work, the authors proved a high-arity analogue of the Fundamental…

机器学习 · 计算机科学 2025-05-22 Leonardo N. Coregliano , Maryanthe Malliaris

Many fundamental machine learning tasks can be formulated as a problem of learning with vector-valued functions, where we learn multiple scalar-valued functions together. Although there is some generalization analysis on different specific…

机器学习 · 计算机科学 2021-04-30 Liang Wu , Antoine Ledent , Yunwen Lei , Marius Kloft

In multi-task learning, a learner is given a collection of prediction tasks and needs to solve all of them. In contrast to previous work, which required that annotated training data is available for all tasks, we consider a new setting, in…

机器学习 · 统计学 2017-06-09 Anastasia Pentina , Christoph H. Lampert

In this paper, we study three matching problems all of which came up quite recently in the field of machine teaching. The cost of a matching is defined in such a way that, for some formal model of teaching, it equals (or bounds) the number…

组合数学 · 数学 2025-03-19 Hans U. Simon , Jan Arne Telle

Many tasks in natural language processing can be viewed as multi-label classification problems. However, most of the existing models are trained with the standard cross-entropy loss function and use a fixed prediction policy (e.g., a…

计算与语言 · 计算机科学 2019-09-11 Jiawei Wu , Wenhan Xiong , William Yang Wang

Proper learning refers to the setting in which learners must emit predictors in the underlying hypothesis class $H$, and often leads to learners with simple algorithmic forms (e.g. empirical risk minimization (ERM), structural risk…

机器学习 · 计算机科学 2025-12-10 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

Human adaptability relies crucially on learning and merging knowledge from both supervised and unsupervised tasks: the parents point out few important concepts, but then the children fill in the gaps on their own. This is particularly…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Silvia Bucci , Antonio D'Innocente , Yujun Liao , Fabio Maria Carlucci , Barbara Caputo , Tatiana Tommasi

This article conducts a large dimensional study of a simple yet quite versatile classification model, encompassing at once multi-task and semi-supervised learning, and taking into account uncertain labeling. Using tools from random matrix…

机器学习 · 统计学 2024-02-22 Victor Leger , Romain Couillet

Catastrophic forgetting continues to severely restrict the learnability of controllers suitable for multiple task environments. Efforts to combat catastrophic forgetting reported in the literature to date have focused on how control systems…

机器学习 · 计算机科学 2021-05-07 Joshua Powers , Ryan Grindle , Sam Kriegman , Lapo Frati , Nick Cheney , Josh Bongard

Classical machine learners are designed only to tackle one task without capability of adopting new emerging tasks or classes whereas such capacity is more practical and human-like in the real world. To address this shortcoming, continual…

机器学习 · 计算机科学 2021-12-06 Xuejun Han , Yuhong Guo

We introduce a tunable loss function called $\alpha$-loss, parameterized by $\alpha \in (0,\infty]$, which interpolates between the exponential loss ($\alpha = 1/2$), the log-loss ($\alpha = 1$), and the 0-1 loss ($\alpha = \infty$), for…

机器学习 · 计算机科学 2022-12-22 Tyler Sypherd , Mario Diaz , John Kevin Cava , Gautam Dasarathy , Peter Kairouz , Lalitha Sankar

We study strong universal Bayes-consistency in the realizable setting for learning with general metric losses, extending classical characterizations beyond $0$-$1$ classification (Bousquet et al., 2020; Hanneke et al., 2021) and real-valued…

机器学习 · 计算机科学 2026-05-15 Dan Tsir Cohen , Steve Hanneke , Aryeh Kontorovich

We give tight bounds on the relation between the primal and dual of various combinatorial dimensions, such as the pseudo-dimension and fat-shattering dimension, for multi-valued function classes. These dimensional notions play an important…

组合数学 · 数学 2021-08-24 Pieter Kleer , Hans Simon

In this paper, we propose to study language modelling as a multi-task problem, bringing together three strands of research: multi-task learning, linguistics, and interpretability. Based on hypotheses derived from linguistic theory, we…

计算与语言 · 计算机科学 2021-01-28 Lucas Weber , Jaap Jumelet , Elia Bruni , Dieuwke Hupkes

Generalization is a central aspect of learning theory. Here, we propose a framework that explores an auxiliary task-dependent notion of generalization, and attempts to quantitatively answer the following question: given two sets of patterns…

无序系统与神经网络 · 物理学 2020-01-08 Francesco Borra , Marco Cosentino Lagomarsino , Pietro Rotondo , Marco Gherardi

Standard meta-learning for representation learning aims to find a common representation to be shared across multiple tasks. The effectiveness of these methods is often limited when the nuances of the tasks' distribution cannot be captured…

机器学习 · 计算机科学 2021-03-31 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

We study the ability of foundation models to learn representations for classification that are transferable to new, unseen classes. Recent results in the literature show that representations learned by a single classifier over many classes…

机器学习 · 计算机科学 2022-01-05 Tomer Galanti , András György , Marcus Hutter

Robustness, domain adaptation, photometric/occlusion invariance, sensor drift, and alignment style are treated as separate literatures with separate method families. Under label-preserving deployment shift they share one geometric object:…

机器学习 · 计算机科学 2026-05-26 Vishal Rajput