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Tensor processing infrastructures such as deep learning frameworks and specialized hardware accelerators have revolutionized how computationally intensive code from domains such as deep learning and image processing is executed and…

Programming Languages · Computer Science 2024-12-17 Jie Qiu , Colin Cai , Sahil Bhatia , Niranjan Hasabnis , Sanjit A. Seshia , Alvin Cheung

Sparse prediction with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm for selection…

Methodology · Statistics 2021-12-22 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel

We present a general class of compressed sensing matrices which are then demonstrated to have associated sublinear-time sparse approximation algorithms. We then develop methods for constructing specialized matrices from this class which are…

Numerical Analysis · Mathematics 2011-06-01 J. Bailey , M. A. Iwen , C. V. Spencer

Scientific software is, by its very nature, complex. It is mathematical and highly optimized which makes it prone to subtle bugs not as easily detected by traditional testing. We outline how symbolic execution can be used to write tests…

Software Engineering · Computer Science 2025-10-16 Alexander C. Wilton

A compiler processes the code written in a high level language and produces machine executable code. The compiler writers often face the challenge of keeping the compilation times reasonable. That is because aggressive optimization passes…

Programming Languages · Computer Science 2019-05-30 Sanket Tavarageri

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

Deep code generation is a topic of deep learning for software engineering (DL4SE), which adopts neural models to generate code for the intended functions. Since end-to-end neural methods lack domain knowledge and software hierarchy…

Software Engineering · Computer Science 2023-08-25 Jian Gu , Harald C. Gall

Recently sparse coding have been highly successful in image classification mainly due to its capability of incorporating the sparsity of image representation. In this paper, we propose an improved sparse coding model based on linear spatial…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Chengqiang Bao , Liangtian He , Yilun Wang

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

Heterogeneous deep learning systems (DLS) such as GPUs and ASICs have been widely deployed in industrial data centers, which requires to develop multiple low-level tensor programs for different platforms. An attractive solution to relieve…

Computation and Language · Computer Science 2025-05-06 Shouyang Dong , Yuanbo Wen , Jun Bi , Di Huang , Jiaming Guo , Jianxing Xu , Ruibai Xu , Xinkai Song , Yifan Hao , Xuehai Zhou , Tianshi Chen , Qi Guo , Yunji Chen

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of…

The so called ``cogen approach'' to program specialisation, writing a compiler generator instead of a specialiser, has been used with considerable success in partial evaluation of both functional and imperative languages. This paper…

Programming Languages · Computer Science 2007-05-23 Michael Leuschel , Jesper Joergensen , Wim Vanhoof , Maurice Bruynooghe

Data selection is essential for training deep learning models. An effective data sampler assigns proper sampling probability for training data and helps the model converge to a good local minimum with high performance. Previous studies in…

Machine Learning · Computer Science 2024-10-10 Jiawei Yao , Chuming Li , Canran Xiao

Harnessing the statistical power of neural networks to perform language understanding and symbolic reasoning is difficult, when it requires executing efficient discrete operations against a large knowledge-base. In this work, we introduce a…

Computation and Language · Computer Science 2017-04-25 Chen Liang , Jonathan Berant , Quoc Le , Kenneth D. Forbus , Ni Lao

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

We address the problem of optimizing mixed sparse and dense tensor algebra in a compiler. We show that standard loop transformations, such as strip-mining, tiling, collapsing, parallelization and vectorization, can be applied to irregular…

Mathematical Software · Computer Science 2020-01-03 Ryan Senanayake , Fredrik Kjolstad , Changwan Hong , Shoaib Kamil , Saman Amarasinghe

Registers are the fastest memory components within the GPU's complex memory hierarchy, accessed by names rather than addresses. They are managed entirely by the compiler through a process called register allocation, during which the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Deniz Elbek , Kamer Kaya

Compiler optimization decisions are often based on hand-crafted heuristics centered around a few established benchmark suites. Alternatively, they can be learned from feature and performance data produced during compilation. However,…

Programming Languages · Computer Science 2022-06-29 Raphael Mosaner , David Leopoldseder , Wolfgang Kisling , Lukas Stadler , Hanspeter Mössenböck

Sampling of signals belonging to a low-dimensional subspace has well-documented merits for dimensionality reduction, limited memory storage, and online processing of streaming network data. When the subspace is known, these signals can be…

Information Theory · Computer Science 2019-11-26 Fernando Gama , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

The power of sparse signal modeling with learned over-complete dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical…

Information Theory · Computer Science 2017-04-26 Ignacio Ramírez , Guillermo Sapiro