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Related papers: Masked Matrix Multiplication for Emergent Sparsity

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Most artificial networks today rely on dense representations, whereas biological networks rely on sparse representations. In this paper we show how sparse representations can be more robust to noise and interference, as long as the…

Machine Learning · Computer Science 2019-04-03 Subutai Ahmad , Luiz Scheinkman

Random masks define surprisingly effective sparse neural network models, as has been shown empirically. The resulting sparse networks can often compete with dense architectures and state-of-the-art lottery ticket pruning algorithms, even…

Machine Learning · Computer Science 2023-06-01 Advait Gadhikar , Sohom Mukherjee , Rebekka Burkholz

Multiplying matrices is among the most fundamental and compute-intensive operations in machine learning. Consequently, there has been significant work on efficiently approximating matrix multiplies. We introduce a learning-based algorithm…

Machine Learning · Computer Science 2021-08-17 Davis Blalock , John Guttag

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

This article proposes a sparse computation-based method for optimizing neural networks for reinforcement learning (RL) tasks. This method combines two ideas: neural network pruning and taking into account input data correlations; it makes…

Machine Learning · Computer Science 2022-04-11 Dmitry Ivanov , Mikhail Kiselev , Denis Larionov

Hierarchical matrices approximate a given matrix by a decomposition into low-rank submatrices that can be handled efficiently in factorized form. $\mathcal{H}^2$-matrices refine this representation following the ideas of fast multipole…

Numerical Analysis · Mathematics 2024-04-24 Steffen Börm

This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a…

Mathematical Software · Computer Science 2018-10-18 Hongbo Rong

Deep neural networks (DNN) have shown remarkable success in a variety of machine learning applications. The capacity of these models (i.e., number of parameters), endows them with expressive power and allows them to reach the desired…

Machine Learning · Computer Science 2022-04-12 Arturo Marban , Daniel Becking , Simon Wiedemann , Wojciech Samek

From the moment Neural Networks dominated the scene for image processing, the computational complexity needed to solve the targeted tasks skyrocketed: against such an unsustainable trend, many strategies have been developed, ambitiously…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Riccardo Renzulli , Marco Grangetto

The demand for efficient processing of deep neural networks (DNNs) on embedded devices is a significant challenge limiting their deployment. Exploiting sparsity in the network's feature maps is one of the ways to reduce its inference…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Matteo Grimaldi , Darshan C. Ganji , Ivan Lazarevich , Sudhakar Sah

Neural networks augmented with external memory have the ability to learn algorithmic solutions to complex tasks. These models appear promising for applications such as language modeling and machine translation. However, they scale poorly in…

Machine Learning · Computer Science 2016-10-31 Jack W Rae , Jonathan J Hunt , Tim Harley , Ivo Danihelka , Andrew Senior , Greg Wayne , Alex Graves , Timothy P Lillicrap

Exploring deep convolutional neural networks of high efficiency and low memory usage is very essential for a wide variety of machine learning tasks. Most of existing approaches used to accelerate deep models by manipulating parameters or…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Chuanjian Liu , Yunhe Wang , Kai Han , Chunjing Xu , Chang Xu

Many useful tasks in data science and machine learning applications can be written as simple variations of matrix multiplication. However, users have difficulty performing such tasks as existing matrix/vector libraries support only a…

Programming Languages · Computer Science 2023-05-17 Junyoung Kim , Kenneth Ross , Eric Sedlar , Lukas Stadler

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

Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

One of the most common, but at the same time expensive operations in linear algebra, is multiplying two matrices $A$ and $B$. With the rapid development of machine learning and increases in data volume, performing fast matrix intensive…

Information Theory · Computer Science 2020-11-20 Neophytos Charalambides , Mert Pilanci , Alfred Hero

We propose a novel algorithm for efficiently computing a sparse directed adjacency matrix from a group of time series following a causal graph process. Our solution is scalable for both dense and sparse graphs and automatically selects the…

Machine Learning · Statistics 2019-11-19 Théophile Griveau-Billion , Ben Calderhead

Conventional deep convolutional neural networks (CNNs) apply convolution operators uniformly in space across all feature maps for hundreds of layers - this incurs a high computational cost for real-time applications. For many problems such…

Computer Vision and Pattern Recognition · Computer Science 2018-06-08 Mengye Ren , Andrei Pokrovsky , Bin Yang , Raquel Urtasun

Mixture-of-Experts (MoE) language models can reduce computational costs by 2-4$\times$ compared to dense models without sacrificing performance, making them more efficient in computation-bounded scenarios. However, MoE models generally…

Machine Learning · Computer Science 2024-04-09 Bowen Pan , Yikang Shen , Haokun Liu , Mayank Mishra , Gaoyuan Zhang , Aude Oliva , Colin Raffel , Rameswar Panda

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

Machine Learning · Computer Science 2023-09-26 Mo Tiwari
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