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We study the problem of learning a structured approximation (low-rank, sparse, banded, etc.) to an unknown matrix $A$ given access to matrix-vector product (matvec) queries of the form $x \rightarrow Ax$ and $x \rightarrow A^Tx$. This…

Data Structures and Algorithms · Computer Science 2025-07-28 Noah Amsel , Pratyush Avi , Tyler Chen , Feyza Duman Keles , Chinmay Hegde , Cameron Musco , Christopher Musco , David Persson

This article introduces the concept of optimization learning, a methodology to design optimization proxies that learn the input/output mapping of parametric optimization problems. These optimization proxies are trustworthy by design: they…

Optimization and Control · Mathematics 2025-01-08 Pascal Van Hentenryck

We develop a new framework for generalizing approximation algorithms from the structural graph algorithm literature so that they apply to graphs somewhat close to that class (a scenario we expect is common when working with real-world…

Beam search is widely used for approximate decoding in structured prediction problems. Models often use a beam at test time but ignore its existence at train time, and therefore do not explicitly learn how to use the beam. We develop an…

Machine Learning · Statistics 2019-06-26 Renato Negrinho , Matthew R. Gormley , Geoffrey J. Gordon

Reduced order models are computationally inexpensive approximations that capture the important dynamical characteristics of large, high-fidelity computer models of physical systems. This paper applies machine learning techniques to improve…

Machine Learning · Computer Science 2015-11-11 Azam Moosavi , Razvan Stefanescu , Adrian Sandu

Hashing has proven a valuable tool for large-scale information retrieval. Despite much success, existing hashing methods optimize over simple objectives such as the reconstruction error or graph Laplacian related loss functions, instead of…

Machine Learning · Computer Science 2014-07-07 Guosheng Lin , Chunhua Shen , Jianxin Wu

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground…

Machine Learning · Statistics 2017-12-19 David Alvarez-Melis , Tommi S. Jaakkola , Stefanie Jegelka

Algorithms for learning decision trees often include heuristic local-search operations such as (1) adjusting the threshold of a cut or (2) also exchanging the feature of that cut. We study minimizing the number of classification errors by…

Machine Learning · Computer Science 2025-10-15 Juha Harviainen , Frank Sommer , Manuel Sorge

We study the problem of structured prediction under test-time budget constraints. We propose a novel approach applicable to a wide range of structured prediction problems in computer vision and natural language processing. Our approach…

Machine Learning · Statistics 2016-06-09 Tolga Bolukbasi , Kai-Wei Chang , Joseph Wang , Venkatesh Saligrama

We describe a method for utilizing the known structure of input data to make learning more efficient. Our work is in the domain of programming languages, and we use deep neural networks to do program analysis. Computer programs include a…

Neural and Evolutionary Computing · Computer Science 2019-04-01 Zehra Sura , Tong Chen , Hyojin Sung

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore

The use of machine learning techniques to improve the performance of branch-and-bound optimization algorithms is a very active area in the context of mixed integer linear problems, but little has been done for non-linear optimization. To…

In this work, we address unconstrained finite-sum optimization problems, with particular focus on instances originating in large scale deep learning scenarios. Our main interest lies in the exploration of the relationship between recent…

Optimization and Control · Mathematics 2026-03-13 Matteo Lapucci , Davide Pucci

We propose and analyze a novel theoretical and algorithmic framework for structured prediction. While so far the term has referred to discrete output spaces, here we consider more general settings, such as manifolds or spaces of probability…

Machine Learning · Statistics 2020-02-14 Carlo Ciliberto , Lorenzo Rosasco , Alessandro Rudi

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

Optimization and Control · Mathematics 2022-08-10 Johannes O. Royset

We propose a general framework for end-to-end learning of data structures. Our framework adapts to the underlying data distribution and provides fine-grained control over query and space complexity. Crucially, the data structure is learned…

Machine Learning · Computer Science 2024-11-06 Omar Salemohamed , Laurent Charlin , Shivam Garg , Vatsal Sharan , Gregory Valiant

Deep structured models are widely used for tasks like semantic segmentation, where explicit correlations between variables provide important prior information which generally helps to reduce the data needs of deep nets. However, current…

Machine Learning · Computer Science 2018-11-02 Colin Graber , Ofer Meshi , Alexander Schwing

Key to structured prediction is exploiting the problem structure to simplify the learning process. A major challenge arises when data exhibit a local structure (e.g., are made by "parts") that can be leveraged to better approximate the…

Machine Learning · Statistics 2019-06-03 Carlo Ciliberto , Francis Bach , Alessandro Rudi

The automation of feature extraction of machine learning has been successfully realized by the explosive development of deep learning. However, the structures and hyperparameters of deep neural network architectures also make huge…

Machine Learning · Computer Science 2024-10-01 Wenzhu Shao

Learning structured models using maximum margin techniques has become an indispensable tool for com- puter vision researchers, as many computer vision applications can be cast naturally as an image labeling problem. Pixel-based or…

Machine Learning · Computer Science 2013-09-17 Andreas Christian Mueller , Sven Behnke