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Sparse tensors appear frequently in distributed deep learning, either as a direct artifact of the deep neural network's gradients, or as a result of an explicit sparsification process. Existing communication primitives are agnostic to the…

机器学习 · 计算机科学 2021-02-08 Kelly Kostopoulou , Hang Xu , Aritra Dutta , Xin Li , Alexandros Ntoulas , Panos Kalnis

Tensors, or multidimensional arrays, are data structures that can naturally represent visual data of multiple dimensions. Inherently able to efficiently capture structured, latent semantic spaces and high-order interactions, tensors have a…

计算机视觉与模式识别 · 计算机科学 2021-07-09 Yannis Panagakis , Jean Kossaifi , Grigorios G. Chrysos , James Oldfield , Mihalis A. Nicolaou , Anima Anandkumar , Stefanos Zafeiriou

Domain specific accelerators present new challenges and opportunities for code generation onto novel instruction sets, communication fabrics, and memory architectures. In this paper we introduce an intermediate representation (IR) which…

分布式、并行与集群计算 · 计算机科学 2018-10-24 Matthew Sotoudeh , Anand Venkat , Michael Anderson , Evangelos Georganas , Alexander Heinecke , Jason Knight

This paper shows how to generate efficient tensor algebra code that compute on dynamic sparse tensors, which have sparsity structures that evolve over time. We propose a language for precisely specifying recursive, pointer-based data…

数学软件 · 计算机科学 2021-12-03 Stephen Chou , Saman Amarasinghe

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…

机器学习 · 计算机科学 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

Various hardware accelerators have been developed for energy-efficient and real-time inference of neural networks on edge devices. However, most training is done on high-performance GPUs or servers, and the huge memory and computing costs…

硬件体系结构 · 计算机科学 2021-04-21 Kaiqi Zhang , Cole Hawkins , Xiyuan Zhang , Cong Hao , Zheng Zhang

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

硬件体系结构 · 计算机科学 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

Sparse tensors are prevalent in many data-intensive applications, yet existing differentiable programming frameworks are tailored towards dense tensors. This presents a significant challenge for efficiently computing gradients through…

编程语言 · 计算机科学 2023-03-14 Amir Shaikhha , Mathieu Huot , Shideh Hashemian

Many critical EDA problems suffer from the curse of dimensionality, i.e. the very fast-scaling computational burden produced by large number of parameters and/or unknown variables. This phenomenon may be caused by multiple spatial or…

数值分析 · 计算机科学 2016-11-18 Zheng Zhang , Kim Batselier , Haotian Liu , Luca Daniel , Ngai Wong

This document describes an attempt to develop a compiler-based approach for computations with symmetric tensors. Given a computation and the symmetries of its input tensors, we derive formulas for random access under a storage scheme that…

数学软件 · 计算机科学 2021-10-04 Jessica Shi , Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

分布式、并行与集群计算 · 计算机科学 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

Deep learning (DL) compilers rely on cost models and auto-tuning to optimize tensor programs for target hardware. However, existing approaches depend on large offline datasets, incurring high collection costs and offering suboptimal…

机器学习 · 计算机科学 2026-04-15 Chaoyao Shen , Linfeng Jiang , Yixian Shen , Tao Xu , Guoqing Li , Anuj Pathania , Andy D. Pimentel , Meng Zhang

The CP decomposition for high dimensional non-orthogonal spiked tensors is an important problem with broad applications across many disciplines. However, previous works with theoretical guarantee typically assume restrictive incoherence…

机器学习 · 统计学 2022-09-20 Yuefeng Han , Cun-Hui Zhang

Transfer learning, by leveraging knowledge from pre-trained models, has significantly enhanced the performance of target tasks. However, as deep neural networks scale up, full fine-tuning introduces substantial computational and storage…

图像与视频处理 · 电气工程与系统科学 2025-10-01 Guanghua He , Wangang Cheng , Hancan Zhu , Xiaohao Cai , Gaohang Yu

The Nvidia GPU architecture has introduced new computing elements such as the \textit{tensor cores}, which are special processing units dedicated to perform fast matrix-multiply-accumulate (MMA) operations and accelerate \textit{Deep…

分布式、并行与集群计算 · 计算机科学 2019-03-12 Roberto Carrasco , Raimundo Vega , Cristóbal A. Navarro

In this paper, we demonstrate a compiler that can optimize sparse and recurrent neural networks, both of which are currently outside of the scope of existing neural network compilers (sparse neural networks here stand for networks that can…

As tensors become widespread in modern data analysis, Tucker low-rank Principal Component Analysis (PCA) has become essential for dimensionality reduction and structural discovery in tensor datasets. Motivated by the common scenario where…

统计方法学 · 统计学 2025-04-08 Elynn Chen , Xi Chen , Wenbo Jing , Yichen Zhang

Flow-matching methods for 3D shape assembly learn point-wise velocity fields that transport parts toward assembled configurations, yet they receive no explicit guidance about which cross-part interactions should drive the motion. We…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Nahyuk Lee , Zhiang Chen , Marc Pollefeys , Sunghwan Hong

Scientific problems require resolving multi-scale phenomena across different resolutions and learning solution operators in infinite-dimensional function spaces. Neural operators provide a powerful framework for this, using…

Sparse tensor networks are commonly used to represent contractions over sparse tensors. Tensor contractions are higher-order analogs of matrix multiplication. Tensor networks arise commonly in many domains of scientific computing and data…

编程语言 · 计算机科学 2024-01-11 Saurabh Raje , Yufan Xu , Atanas Rountev , Edward F. Valeev , Saday Sadayappan