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We consider learning problems of an intuitive and concise preference model, called lexicographic preference lists (LP-lists). Given a set of examples that are pairwise ordinal preferences over a universe of objects built of attributes of…

Artificial Intelligence · Computer Science 2019-09-20 Ahmed Moussa , Xudong Liu

This paper presents a novel approach at the intersection of machine learning and number theory, focusing on the classification of prime and non-prime numbers. At the core of our research is the development of a highly sparse encoding…

Number Theory · Mathematics 2026-04-01 Serin Lee , S. Kim

Many natural signals exhibit a sparse representation, whenever a suitable describing model is given. Here, a linear generative model is considered, where many sparsity-based signal processing techniques rely on such a simplified model. As…

Machine Learning · Computer Science 2013-06-11 Mehrdad Yaghoobi , Laurent Daudet , Michael E. Davies

Structured sparse coding and the related structured dictionary learning problems are novel research areas in machine learning. In this paper we present a new application of structured dictionary learning for collaborative filtering based…

Optimization and Control · Mathematics 2012-03-08 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

In big data image/video analytics, we encounter the problem of learning an overcomplete dictionary for sparse representation from a large training dataset, which can not be processed at once because of storage and computational constraints.…

Machine Learning · Computer Science 2014-03-20 Subhadip Mukherjee , Chandra Sekhar Seelamantula

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

Methodology · Statistics 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Distributed sparse learning with a cluster of multiple machines has attracted much attention in machine learning, especially for large-scale applications with high-dimensional data. One popular way to implement sparse learning is to use…

Machine Learning · Statistics 2018-10-29 Shen-Yi Zhao , Gong-Duo Zhang , Ming-Wei Li , Wu-Jun Li

FasterAI is a PyTorch-based library, aiming to facilitate the utilization of deep neural networks compression techniques such as sparsification, pruning, knowledge distillation, or regularization. The library is built with the purpose of…

Machine Learning · Computer Science 2022-07-05 Nathan Hubens

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

Machine Learning · Computer Science 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

In machine learning applications, predictive models are trained to serve future queries across the entire data distribution. Real-world data often demands excessively complex models to achieve competitive performance, however, sacrificing…

Machine Learning · Computer Science 2025-09-22 Jizhou Huang , Brendan Juba

Souper is a powerful enumerative superoptimizer that enhances the runtime performance of programs by optimizing LLVM intermediate representation (IR) code. However, its verification process, which relies on a computationally expensive SMT…

Emerging Technologies · Computer Science 2025-09-23 Ange-Thierry Ishimwe , Raghuveer Shivakumar , Heewoo Kim , Tamara Lehman , Joseph Izraelevitz

Complex-valued sparse coding is a data representation which employs a dictionary of two-dimensional subspaces, while imposing a sparse, factorial prior on complex amplitudes. When trained on a dataset of natural image patches, it learns…

Machine Learning · Computer Science 2014-02-19 Wiktor Mlynarski

In scientific fields such as quantum computing, physics, chemistry, and machine learning, high dimensional data are typically represented using sparse tensors. Tensor contraction is a popular operation on tensors to exploit meaning or alter…

Data Structures and Algorithms · Computer Science 2024-10-15 Andrew Ensinger , Gabriel Kulp , Victor Agostinelli , Dennis Lyakhov , Lizhong Chen

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

Machine Learning · Computer Science 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

In many sequence learning tasks, such as program synthesis and document summarization, a key problem is searching over a large space of possible output sequences. We propose to learn representations of the outputs that are specifically…

Machine Learning · Computer Science 2021-08-09 Joey Hong , David Dohan , Rishabh Singh , Charles Sutton , Manzil Zaheer

The SparseStep algorithm is presented for the estimation of a sparse parameter vector in the linear regression problem. The algorithm works by adding an approximation of the exact counting norm as a constraint on the model parameters and…

Methodology · Statistics 2017-01-25 Gerrit J. J. van den Burg , Patrick J. F. Groenen , Andreas Alfons

Deep learning has been the engine powering many successes of data science. However, the deep neural network (DNN), as the basic model of deep learning, is often excessively over-parameterized, causing many difficulties in training,…

Machine Learning · Statistics 2021-03-09 Yan Sun , Qifan Song , Faming Liang

ControlBurn is a Python package to construct feature-sparse tree ensembles that support nonlinear feature selection and interpretable machine learning. The algorithms in this package first build large tree ensembles that prioritize basis…

Machine Learning · Statistics 2022-07-11 Brian Liu , Miaolan Xie , Haoyue Yang , Madeleine Udell

Large Language Models have become the core architecture upon which most modern natural language processing (NLP) systems build. These models can consistently deliver impressive accuracy and robustness across tasks and domains, but their…

Computation and Language · Computer Science 2023-04-07 Daniel Campos , Alexandre Marques , Tuan Nguyen , Mark Kurtz , ChengXiang Zhai

Conformal prediction (CP) is a powerful statistical framework that generates prediction intervals or sets with guaranteed coverage probability. While CP algorithms have evolved beyond traditional classifiers and regressors to sophisticated…

Machine Learning · Computer Science 2026-02-02 Jianguo Huang , Jianqing Song , Xuanning Zhou , Bingyi Jing , Hongxin Wei