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One of the primary areas of interest in High Performance Computing is the improvement of performance of parallel workloads. Nowadays, compilable source code-based optimization tasks that employ deep learning often exploit LLVM Intermediate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Akash Dutta , Ali Jannesari

Automated code generation and performance enhancements for sparse tensor algebra have become essential in many real-world applications, such as quantum computing, physical simulations, computational chemistry, and machine learning. General…

Programming Languages · Computer Science 2024-08-20 Adhitha Dias , Logan Anderson , Kirshanthan Sundararajah , Artem Pelenitsyn , Milind Kulkarni

Automatic optimization for tensor programs becomes increasingly important as we deploy deep learning in various environments, and efficient optimization relies on a rich search space and effective search. Most existing efforts adopt a…

Machine Learning · Computer Science 2022-10-11 Junru Shao , Xiyou Zhou , Siyuan Feng , Bohan Hou , Ruihang Lai , Hongyi Jin , Wuwei Lin , Masahiro Masuda , Cody Hao Yu , Tianqi Chen

This report presents some early results on code generation targeting tensor cores on NVIDIA GPUs using the MLIR compiler infrastructure. The state-of-the-art in high-performance deep learning today is primarily driven by manually optimized…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Navdeep Katel , Vivek Khandelwal , Uday Bondhugula

Tensor computations, with matrix multiplication being the primary operation, serve as the fundamental basis for data analysis, physics, machine learning, and deep learning. As the scale and complexity of data continue to grow rapidly, the…

Hardware Architecture · Computer Science 2024-10-24 Qizhe Wu , Yuchen Gui , Zhichen Zeng , Xiaotian Wang , Huawen Liang , Xi Jin

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

This work proposes a compilation flow using open-source compiler passes to build a framework to achieve ninja performance from a generic linear algebra high-level abstraction. We demonstrate this flow with a proof-of-concept MLIR project…

Tensor algebra is widely used in many applications, such as scientific computing, machine learning, and data analytics. The tensors represented real-world data are usually large and sparse. There are tens of storage formats designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-11 Ruiqin Tian , Luanzheng Guo , Jiajia Li , Bin Ren , Gokcen Kestor

High-order tensor decomposition has been widely adopted to obtain compact deep neural networks for edge deployment. However, existing studies focus primarily on its algorithmic advantages such as accuracy and compression ratio-while…

Hardware Architecture · Computer Science 2025-11-26 Jinsong Zhang , Minghe Li , Jiayi Tian , Jinming Lu , Zheng Zhang

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…

Numerical Analysis · Computer Science 2016-11-18 Zheng Zhang , Kim Batselier , Haotian Liu , Luca Daniel , Ngai Wong

Tensor networks (TNs) are a central computational tool in quantum science and artificial intelligence. However, the lack of unified software interface across tensor-computing frameworks severely limits the portability of TN applications,…

Quantum Physics · Physics 2026-01-01 Rong-Yang Sun , Tomonori Shirakawa , Hidehiko Kohshiro , D. N. Sheng , Seiji Yunoki

We consider the problem of automatically decomposing operations over tensors or arrays so that they can be executed in parallel on multiple devices. We address two, closely-linked questions. First, what programming abstraction should…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-04 Daniel Bourgeois , Zhimin Ding , Dimitrije Jankov , Jiehui Li , Mahmoud Sleem , Yuxin Tang , Jiawen Yao , Xinyu Yao , Chris Jermaine

Deep Neural Networks (DNNs) have revolutionized many aspects of our lives. The use of DNNs is becoming ubiquitous including in softwares for image recognition, speech recognition, speech synthesis, language translation, to name a few. he…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-18 Sanket Tavarageri , Alexander Heinecke , Sasikanth Avancha , Gagandeep Goyal , Ramakrishna Upadrasta , Bharat Kaul

As deep learning models nowadays are widely adopted by both cloud services and edge devices, reducing the latency of deep learning model inferences becomes crucial to provide efficient model serving. However, it is challenging to develop…

Machine Learning · Computer Science 2023-02-16 Yaoyao Ding , Cody Hao Yu , Bojian Zheng , Yizhi Liu , Yida Wang , Gennady Pekhimenko

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…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Yannis Panagakis , Jean Kossaifi , Grigorios G. Chrysos , James Oldfield , Mihalis A. Nicolaou , Anima Anandkumar , Stefanos Zafeiriou

Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from quantum simulations to machine learning. Exploiting data…

Numerical Analysis · Mathematics 2024-10-25 Melven Röhrig-Zöllner , Manuel Joey Becklas , Jonas Thies , Achim Basermann

Computation-intensive tensor operators constitute over 90\% of the computations in Large Language Models (LLMs) and Deep Neural Networks.Automatically and efficiently generating high-performance tensor operators with hardware primitives is…

Deep learning models with convolutional and recurrent networks are now ubiquitous and analyze massive amounts of audio, image, video, text and graph data, with applications in automatic translation, speech-to-text, scene understanding,…

Tensor networks are factorizations of high-dimensional tensors into networks of smaller tensors. They have applications in physics and mathematics, and recently have been proposed as promising machine learning architectures. To ease the…

Machine Learning · Computer Science 2024-06-12 José Ramón Pareja Monturiol , David Pérez-García , Alejandro Pozas-Kerstjens

In this work, we develop an optimization framework for problems whose solutions are well-approximated by Hierarchical Tucker (HT) tensors, an efficient structured tensor format based on recursive subspace factorizations. By exploiting the…

Numerical Analysis · Mathematics 2014-05-12 Curt Da Silva , Felix J. Herrmann