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Trace norm regularization is a popular method of multitask learning. We give excess risk bounds with explicit dependence on the number of tasks, the number of examples per task and properties of the data distribution. The bounds are…

Machine Learning · Statistics 2013-01-15 Andreas Maurer , Massimiliano Pontil

Multi-task learning has been observed by many researchers, which supposes that different tasks can share a low-rank common yet latent subspace. It means learning multiple tasks jointly is better than learning them independently. In this…

Machine Learning · Computer Science 2021-12-10 Wei Chang , Feiping Nie , Rong Wang , Xuelong Li

We propose a framework for training multiple neural networks simultaneously. The parameters from all models are regularised by the tensor trace norm, so that each neural network is encouraged to reuse others' parameters if possible -- this…

Machine Learning · Computer Science 2017-02-20 Yongxin Yang , Timothy M. Hospedales

A learning task, understood as the problem of fitting a parametric model from supervised data, fundamentally requires the dataset to be large enough to be representative of the underlying distribution of the source. When data is limited,…

Machine Learning · Computer Science 2025-11-18 Leopoldo Agorio , Juan Cerviño , Miguel Calvo-Fullana , Alejandro Ribeiro , Juan Andrés Bazerque

This paper addresses the meta-learning problem in sparse linear regression with infinite tasks. We assume that the learner can access several similar tasks. The goal of the learner is to transfer knowledge from the prior tasks to a similar…

Machine Learning · Computer Science 2021-02-19 Zhanyu Wang , Jean Honorio

We study the problem of transfer-learning in the setting of stochastic linear bandit tasks. We consider that a low dimensional linear representation is shared across the tasks, and study the benefit of learning this representation in the…

Machine Learning · Statistics 2023-08-16 Leonardo Cella , Karim Lounici , Grégoire Pacreau , Massimiliano Pontil

In modern supervised learning, there are a large number of tasks, but many of them are associated with only a small amount of labeled data. These include data from medical image processing and robotic interaction. Even though each…

Machine Learning · Computer Science 2020-02-21 Weihao Kong , Raghav Somani , Zhao Song , Sham Kakade , Sewoong Oh

We study the interplay between surrogate methods for structured prediction and techniques from multitask learning designed to leverage relationships between surrogate outputs. We propose an efficient algorithm based on trace norm…

Machine Learning · Computer Science 2019-03-05 Giulia Luise , Dimitris Stamos , Massimiliano Pontil , Carlo Ciliberto

An overarching goal in machine learning is to build a generalizable model with few samples. To this end, overparameterization has been the subject of immense interest to explain the generalization ability of deep nets even when the size of…

Machine Learning · Computer Science 2022-01-19 Yue Sun , Adhyyan Narang , Halil Ibrahim Gulluk , Samet Oymak , Maryam Fazel

The ability to learn new concepts with small amounts of data is a critical aspect of intelligence that has proven challenging for deep learning methods. Meta-learning has emerged as a promising technique for leveraging data from previous…

Machine Learning · Computer Science 2020-04-29 Mingzhang Yin , George Tucker , Mingyuan Zhou , Sergey Levine , Chelsea Finn

Multi-task learning (MTL) aims to improve generalization performance by learning multiple related tasks simultaneously. While sometimes the underlying task relationship structure is known, often the structure needs to be estimated from data…

Regularization by the sum of singular values, also referred to as the trace norm, is a popular technique for estimating low rank rectangular matrices. In this paper, we extend some of the consistency results of the Lasso to provide…

Machine Learning · Computer Science 2007-10-16 Francis Bach

Meta-learning, or learning-to-learn, seeks to design algorithms that can utilize previous experience to rapidly learn new skills or adapt to new environments. Representation learning -- a key tool for performing meta-learning -- learns a…

Machine Learning · Computer Science 2022-01-04 Nilesh Tripuraneni , Chi Jin , Michael I. Jordan

We show that matrix completion with trace-norm regularization can be significantly hurt when entries of the matrix are sampled non-uniformly. We introduce a weighted version of the trace-norm regularizer that works well also with…

Machine Learning · Computer Science 2010-02-16 Ruslan Salakhutdinov , Nathan Srebro

Meta-learning has emerged as an effective methodology to model several real-world tasks and problems due to its extraordinary effectiveness in the low-data regime. There are many scenarios ranging from the classification of rare diseases to…

Machine Learning · Computer Science 2023-12-29 Prabhat Agarwal , Shreya Singh

In this paper, we consider the framework of multi-task representation (MTR) learning where the goal is to use source tasks to learn a representation that reduces the sample complexity of solving a target task. We start by reviewing recent…

Machine Learning · Computer Science 2023-10-27 Quentin Bouniot , Ievgen Redko , Romaric Audigier , Angélique Loesch , Amaury Habrard

Training a single model on multiple input domains and/or output tasks allows for compressing information from multiple sources into a unified backbone hence improves model efficiency. It also enables potential positive knowledge transfer…

Machine Learning · Computer Science 2023-10-16 Amelie Royer , Tijmen Blankevoort , Babak Ehteshami Bejnordi

Meta-learning synthesizes and leverages the knowledge from a given set of tasks to rapidly learn new tasks using very little data. Meta-learning of linear regression tasks, where the regressors lie in a low-dimensional subspace, is an…

Machine Learning · Computer Science 2021-05-19 Kiran Koshy Thekumparampil , Prateek Jain , Praneeth Netrapalli , Sewoong Oh

Continual learning of multiple tasks remains a major challenge for neural networks. Here, we investigate how task order influences continual learning and propose a strategy for optimizing it. Leveraging a linear teacher-student model with…

Machine Learning · Statistics 2025-07-22 Ziyan Li , Naoki Hiratani

Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

Machine Learning · Computer Science 2024-07-31 Weiyu Chen , James T. Kwok
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