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This paper investigates the theoretical foundations of metric learning, focused on three key questions that are not fully addressed in prior work: 1) we consider learning general low-dimensional (low-rank) metrics as well as sparse metrics;…

Machine Learning · Statistics 2018-02-07 Lalit Jain , Blake Mason , Robert Nowak

The low displacement rank (LDR) framework for structured matrices represents a matrix through two displacement operators and a low-rank residual. Existing use of LDR matrices in deep learning has applied fixed displacement operators…

Machine Learning · Computer Science 2019-01-03 Anna T. Thomas , Albert Gu , Tri Dao , Atri Rudra , Christopher Ré

Efficient training and inference algorithms, such as low-rank adaption and model pruning, have shown impressive performance for learning Transformer-based large foundation models. However, due to the technical challenges of the non-convex…

Machine Learning · Computer Science 2024-06-26 Hongkang Li , Meng Wang , Shuai Zhang , Sijia Liu , Pin-Yu Chen

Many reinforcement learning (RL) algorithms are too costly to use in practice due to the large sizes $S, A$ of the problem's state and action space. To resolve this issue, we study transfer RL with latent low rank structure. We consider the…

Machine Learning · Computer Science 2024-10-30 Tyler Sam , Yudong Chen , Christina Lee Yu

Despite increasing focus on data publication and discovery in materials science and related fields, the global view of materials data is highly sparse. This sparsity encourages training models on the union of multiple datasets, but simple…

Machine Learning · Computer Science 2017-11-15 Maxwell L. Hutchinson , Erin Antono , Brenna M. Gibbons , Sean Paradiso , Julia Ling , Bryce Meredig

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

Optimization and Control · Mathematics 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

This paper studies the problem of estimating a large coefficient matrix in a multiple response linear regression model when the coefficient matrix could be both of low rank and sparse in the sense that most nonzero entries concentrate on a…

Methodology · Statistics 2016-03-18 Zhuang Ma , Zongming Ma , Tingni Sun

Large, pre-trained models are problematic to use in resource constrained applications. Fortunately, task-aware structured pruning methods offer a solution. These approaches reduce model size by dropping structural units like layers and…

Computation and Language · Computer Science 2023-11-14 Lucio Dery , David Grangier , Awni Hannun

We consider the problem of learning low-dimensional representations for large-scale Markov chains. We formulate the task of representation learning as that of mapping the state space of the model to a low-dimensional state space, called the…

Machine Learning · Computer Science 2020-04-09 Mahsa Ghasemi , Abolfazl Hashemi , Haris Vikalo , Ufuk Topcu

Performance optimization is an increasingly challenging but often repetitive task. While each platform has its quirks, the underlying code transformations rely on data movement and computational characteristics that recur across…

Software Engineering · Computer Science 2023-03-16 Lukas Trümper , Tal Ben-Nun , Philipp Schaad , Alexandru Calotoiu , Torsten Hoefler

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Transfer learning aims at building robust prediction models by transferring knowledge gained from one problem to another. In the semantic Web, learning tasks are enhanced with semantic representations. We exploit their semantics to augment…

Machine Learning · Computer Science 2019-06-25 Freddy Lecue , Jiaoyan Chen , Jeff Z. Pan , Huajun Chen

Memory constraint of always-on devices is one of the major concerns when deploying speech processing models on these devices. While larger models trained with sufficiently large amount of data generally perform better, making them fit in…

Computation and Language · Computer Science 2024-01-09 Yiming Wang , Jinyu Li

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

Transfer learning research attempts to make model induction transferable across different domains. This method assumes that specific information regarding to which domain each instance belongs is known. This paper helps to extend the…

Machine Learning · Computer Science 2025-06-04 Xinshun Liu , He Xin , Mao Hui , Liu Jing , Lai Weizhong , Ye Qingwen

Overparameterized models have proven to be powerful tools for solving various machine learning tasks. However, overparameterization often leads to a substantial increase in computational and memory costs, which in turn requires extensive…

Machine Learning · Computer Science 2024-03-13 Soo Min Kwon , Zekai Zhang , Dogyoon Song , Laura Balzano , Qing Qu

We consider the task of building compact deep learning pipelines suitable for deployment on storage and power constrained mobile devices. We propose a unified framework to learn a broad family of structured parameter matrices that are…

Machine Learning · Statistics 2015-10-07 Vikas Sindhwani , Tara N. Sainath , Sanjiv Kumar

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

Machine Learning · Statistics 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Transfer learning is widely used to adapt large pretrained models to new tasks with only a small amount of new data. However, a challenge persists -- the features from the original task often do not fully cover what is needed for unseen…

Machine Learning · Computer Science 2026-02-10 Xingyu Alice Yang , Jianyu Zhang , Léon Bottou