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We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

Optimizing compilers are mainly equipped to optimize control flow. The optimization of data structures is left to the programmer and it is the programmer's responsibility to design the data structures to suit the target hardware. Very…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-15 K. F. D. Rietveld , H. A. G. Wijshoff

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

SimTensor is a multi-platform, open-source software for generating artificial tensor data (either with CP/PARAFAC or Tucker structure) for reproducible research on tensor factorization algorithms. SimTensor is a stand-alone application…

Mathematical Software · Computer Science 2016-12-13 Hadi Fanaee-T , Joao Gama

This paper provides a novel approach for finding sparse state-space realizations of linear systems (e.g., controllers). Sparse controllers are commonly used in distributed control, where a controller is synthesized with some sparsity…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yaozhi Du , Jing Shuang Li

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

Optimization and Control · Mathematics 2021-04-27 Shenglong Zhou

Deploying deep learning models on various devices has become an important topic. The wave of hardware specialization brings a diverse set of acceleration primitives for multi-dimensional tensor computations. These new acceleration…

Machine Learning · Computer Science 2022-10-31 Siyuan Feng , Bohan Hou , Hongyi Jin , Wuwei Lin , Junru Shao , Ruihang Lai , Zihao Ye , Lianmin Zheng , Cody Hao Yu , Yong Yu , Tianqi Chen

We develop and implement in this paper a fast sparse assembly algorithm, the fundamental operation which creates a compressed matrix from raw index data. Since it is often a quite demanding and sometimes critical operation, it is of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-28 Stefan Engblom , Dimitar Lukarski

Statistical learning methods show great promise in providing an accurate prediction of materials and molecular properties, while minimizing the need for computationally demanding electronic structure calculations. The accuracy and…

Materials Science · Physics 2018-01-24 Andrea Grisafi , David M. Wilkins , Gábor Csányi , Michele Ceriotti

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

The uninterpretability of DNNs has led to the adoption of abstract interpretation-based certification as a practical means to establish trust in real-world systems that rely on DNNs. However, the current landscape supports only a limited…

Computation and Language · Computer Science 2025-07-29 Avaljot Singh , Yamin Chandini Sarita , Aditya Mishra , Ishaan Goyal , Gagandeep Singh , Charith Mendis

High-dimensional data has become ubiquitous across the sciences but presents computational and statistical challenges. A common approach to addressing these challenges is through sparsity. In this paper, we introduce a new concept of…

Statistics Theory · Mathematics 2025-09-03 Ali Mohades , Johannes Lederer

Modern artificial intelligence has revolutionized our ability to extract rich and versatile data representations across scientific disciplines. Yet, the statistical properties of these representations remain poorly controlled, causing…

Machine Learning · Computer Science 2025-11-06 Gaia Grosso , Sai Sumedh R. Hindupur , Thomas Fel , Samuel Bright-Thonney , Philip Harris , Demba Ba

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

Performance · Computer Science 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

Tensor completion is a natural higher-order generalization of matrix completion where the goal is to recover a low-rank tensor from sparse observations of its entries. Existing algorithms are either heuristic without provable guarantees,…

Data Structures and Algorithms · Computer Science 2023-07-14 Allen Liu , Ankur Moitra

Despite significant investment in software infrastructure, machine learning systems, runtimes and compilers do not compose properly. We propose a new design aiming at providing unprecedented degrees of modularity, composability and…

In this paper, we investigate effective sketching schemes via sparsification for high dimensional multilinear arrays or tensors. More specifically, we propose a novel tensor sparsification algorithm that retains a subset of the entries of a…

Methodology · Statistics 2017-11-17 Dong Xia , Ming Yuan

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

Machine Learning · Computer Science 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou
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