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In this paper, we study the generalization performance of regularized multi-task learning (RMTL) in a vector-valued framework, where MTL is considered as a learning process for vector-valued functions. We are mainly concerned with two…

Machine Learning · Computer Science 2014-08-29 Chao Zhang , Dacheng Tao , Tao Hu , Xiang Li

There is growing body of learning problems for which it is natural to organize the parameters into matrix, so as to appropriately regularize the parameters under some matrix norm (in order to impose some more sophisticated prior knowledge).…

Machine Learning · Computer Science 2010-10-19 Sham M. Kakade , Shai Shalev-Shwartz , Ambuj Tewari

Regardless of the particular task we want them to perform in an environment, there are often shared safety constraints we want our agents to respect. For example, regardless of whether it is making a sandwich or clearing the table, a…

Machine Learning · Computer Science 2023-09-06 Konwoo Kim , Gokul Swamy , Zuxin Liu , Ding Zhao , Sanjiban Choudhury , Zhiwei Steven Wu

In this paper, we address learning problems for high dimensional data. Previously, oblivious random projection based approaches that project high dimensional features onto a random subspace have been used in practice for tackling…

Machine Learning · Computer Science 2016-12-07 Yi Xu , Haiqin Yang , Lijun Zhang , Tianbao Yang

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

Machine Learning · Statistics 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

This paper proposes a simple approach to derive efficient error bounds for learning multiple components with sparsity-inducing regularization. We show that for such regularization schemes, known decompositions of the Rademacher complexity…

Machine Learning · Statistics 2020-01-24 Fabien Lauer

In multi-task learning (MTL) with each task involving graph-dependent data, existing generalization analyses yield a \emph{sub-optimal} risk bound of $O(\frac{1}{\sqrt{n}})$, where $n$ is the number of training samples of each task.…

Machine Learning · Computer Science 2025-05-22 Xiao Shao , Guoqiang Wu

Manifold regularization is a commonly used technique in semi-supervised learning. It enforces the classification rule to be smooth with respect to the data-manifold. Here, we derive sample complexity bounds based on pseudo-dimension for…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Tom Viering , Marco Loog

Trace norm regularization is a widely used approach for learning low rank matrices. A standard optimization strategy is based on formulating the problem as one of low rank matrix factorization which, however, leads to a non-convex problem.…

Machine Learning · Computer Science 2017-08-01 Carlo Ciliberto , Dimitris Stamos , Massimiliano Pontil

This work investigates the use of mixed-norm regularization for sensor selection in Event-Related Potential (ERP) based Brain-Computer Interfaces (BCI). The classification problem is cast as a discriminative optimization framework where…

Machine Learning · Computer Science 2014-03-17 Rémi Flamary , Nisrine Jrad , Ronald Phlypo , Marco Congedo , Alain Rakotomamonjy

Multi-task learning (MTL) has achieved great success in various research domains, such as CV, NLP and IR etc. Due to the complex and competing task correlation, naive training all tasks may lead to inequitable learning, i.e. some tasks are…

Machine Learning · Computer Science 2023-06-21 Jun Yuan , Rui Zhang

In recent years, functional linear models have attracted growing attention in statistics and machine learning, with the aim of recovering the slope function or its functional predictor. This paper considers online regularized learning…

Machine Learning · Statistics 2022-11-28 Yuan Mao , Zheng-Chu Guo

We consider the problem of reinforcement learning when provided with (1) a baseline control policy and (2) a set of constraints that the learner must satisfy. The baseline policy can arise from demonstration data or a teacher agent and may…

Machine Learning · Computer Science 2021-07-13 Tsung-Yen Yang , Justinian Rosca , Karthik Narasimhan , Peter J. Ramadge

In this work we consider the learning setting where, in addition to the training set, the learner receives a collection of auxiliary hypotheses originating from other tasks. We focus on a broad class of ERM-based linear algorithms that can…

Machine Learning · Computer Science 2016-10-19 Ilja Kuzborskij , Francesco Orabona

Multi-task Inverse Reinforcement Learning (IRL) is the problem of inferring multiple reward functions from expert demonstrations. Prior work, built on Bayesian IRL, is unable to scale to complex environments due to computational…

Machine Learning · Computer Science 2018-07-17 Adam Gleave , Oliver Habryka

We provide a statistical analysis of regularization-based continual learning on a sequence of linear regression tasks, with emphasis on how different regularization terms affect the model performance. We first derive the convergence rate…

Machine Learning · Computer Science 2024-06-11 Xuyang Zhao , Huiyuan Wang , Weiran Huang , Wei Lin

Multi-task learning has become increasingly popular in the machine learning field, but its practicality is hindered by the need for large, labeled datasets. Most multi-task learning methods depend on fully labeled datasets wherein each…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Kento Nishi , Junsik Kim , Wanhua Li , Hanspeter Pfister

In multi-task learning several related tasks are considered simultaneously, with the hope that by an appropriate sharing of information across tasks, each task may benefit from the others. In the context of learning linear functions for…

Machine Learning · Computer Science 2008-09-12 Laurent Jacob , Francis Bach , Jean-Philippe Vert

Identifying statistical regularities in solutions to some tasks in multi-task reinforcement learning can accelerate the learning of new tasks. Skill learning offers one way of identifying these regularities by decomposing pre-collected…

Machine Learning · Computer Science 2022-12-12 Yiding Jiang , Evan Zheran Liu , Benjamin Eysenbach , Zico Kolter , Chelsea Finn

Multi-task learning is a very challenging problem in reinforcement learning. While training multiple tasks jointly allow the policies to share parameters across different tasks, the optimization problem becomes non-trivial: It remains…

Machine Learning · Computer Science 2020-12-08 Ruihan Yang , Huazhe Xu , Yi Wu , Xiaolong Wang