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Simultaneously solving multiple related learning tasks is beneficial under a variety of circumstances, but the prior knowledge necessary to correctly model task relationships is rarely available in practice. In this paper, we develop a…

Machine Learning · Computer Science 2013-07-02 Francesco Dinuzzo

This paper is concerned with the approximation of high-dimensional functions in a statistical learning setting, by empirical risk minimization over model classes of functions in tree-based tensor format. These are particular classes of…

Machine Learning · Statistics 2019-01-15 Erwan Grelier , Anthony Nouy , Mathilde Chevreuil

Multi-Task Learning is a learning paradigm that uses correlated tasks to improve performance generalization. A common way to learn multiple tasks is through the hard parameter sharing approach, in which a single architecture is used to…

Machine Learning · Computer Science 2022-04-15 Angelica Tiemi Mizuno Nakamura , Denis Fernando Wolf , Valdir Grassi

Multi-task learning (MTL) allows deep neural networks to learn from related tasks by sharing parameters with other networks. In practice, however, MTL involves searching an enormous space of possible parameter sharing architectures to find…

Machine Learning · Statistics 2018-11-20 Sebastian Ruder , Joachim Bingel , Isabelle Augenstein , Anders Søgaard

Multi-task learning is a popular machine learning approach that enables simultaneous learning of multiple related tasks, improving algorithmic efficiency and effectiveness. In the hard parameter sharing approach, an encoder shared through…

Machine Learning · Statistics 2024-09-26 Seokwon Shin , Hyungrok Do , Youngdoo Son

We consider the problem of recovering a lowrank matrix M from a small number of random linear measurements. A popular and useful example of this problem is matrix completion, in which the measurements reveal the values of a subset of the…

Information Theory · Computer Science 2009-10-05 Emmanuel J. Candes , Yaniv Plan

We propose a framework for modeling and solving low-rank optimization problems to certifiable optimality. We introduce symmetric projection matrices that satisfy $Y^2=Y$, the matrix analog of binary variables that satisfy $z^2=z$, to model…

Optimization and Control · Mathematics 2021-12-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

We discuss the feasibility of the following learning problem: given unmatched samples from two domains and nothing else, learn a mapping between the two, which preserves semantics. Due to the lack of paired samples and without any…

Machine Learning · Computer Science 2020-01-16 Tomer Galanti , Lior Wolf , Sagie Benaim

The era of Big Data has spawned unprecedented interests in developing hashing algorithms for efficient storage and fast nearest neighbor search. Most existing work learn hash functions that are numeric quantizations of feature values in…

Machine Learning · Computer Science 2015-03-23 Kai Li , Guojun Qi , Jun Ye , Kien A. Hua

In this paper, we propose a new algorithm for recovery of low-rank matrices from compressed linear measurements. The underlying idea of this algorithm is to closely approximate the rank function with a smooth function of singular values,…

Information Theory · Computer Science 2016-11-18 Mohammadreza Malek-Mohammadi , Massoud Babaie-Zadeh , Mikael Skoglund

We solve a weakly supervised regression problem. Under "weakly" we understand that for some training points the labels are known, for some unknown, and for others uncertain due to the presence of random noise or other reasons such as lack…

Machine Learning · Computer Science 2021-04-15 Vladimir Berikov , Alexander Litvinenko

In the paradigm of multi-task learning, mul- tiple related prediction tasks are learned jointly, sharing information across the tasks. We propose a framework for multi-task learn- ing that enables one to selectively share the information…

Machine Learning · Computer Science 2012-07-03 Abhishek Kumar , Hal Daume

In many learning tasks, the structure of the target space of a function holds rich information about the relationships between evaluations of functions on different data points. Existing approaches attempt to exploit this relationship…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Kwang In Kim , James Tompkin , Hanspeter Pfister , Christian Theobalt

This paper proposes a new principled multi-task representation learning framework (InfoMTL) to extract noise-invariant sufficient representations for all tasks. It ensures sufficiency of shared representations for all tasks and mitigates…

Computation and Language · Computer Science 2025-03-07 Dou Hu , Lingwei Wei , Wei Zhou , Songlin Hu

We study a recent model of collaborative PAC learning where $k$ players with $k$ different tasks collaborate to learn a single classifier that works for all tasks. Previous work showed that when there is a classifier that has very small…

Machine Learning · Computer Science 2018-11-01 Huy L. Nguyen , Lydia Zakynthinou

Multi-task learning enables the acquisition of task-generic knowledge by training multiple tasks within a unified architecture. However, training all tasks together in a single architecture can lead to performance degradation, known as…

Machine Learning · Computer Science 2025-04-23 Wooseong Jeong , Kuk-Jin Yoon

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

Machine Learning · Computer Science 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

We propose a new \emph{Transformed Risk Minimization} (TRM) framework as an extension of classical risk minimization. In TRM, we optimize not only over predictive models, but also over data transformations; specifically over distributions…

Machine Learning · Computer Science 2023-10-09 Evangelos Chatzipantazis , Stefanos Pertigkiozoglou , Kostas Daniilidis , Edgar Dobriban

Pairwise human-preference platforms such as Chatbot Arena have become central to large language model (LLM) evaluation, yet reliable task-specific ranking remains challenging. Global leaderboards mask task heterogeneity, while ranking each…

Methodology · Statistics 2026-05-29 Jiachun Li , David Simchi-Levi , Will Wei Sun

We introduce a novel stochastic regularization technique for deep neural networks, which decomposes a layer into multiple branches with different parameters and merges stochastically sampled combinations of the outputs from the branches…

Machine Learning · Computer Science 2019-10-04 Wonpyo Park , Paul Hongsuck Seo , Bohyung Han , Minsu Cho