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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

General-purpose Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel in scientific computing and deep learning. The emergence of new matrix computation units such as Tensor Cores (TCs) brings more opportunities for SpMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-17 Haisha Zhao , San Li , Jiaheng Wang , Chunbao Zhou , Jue Wang , Zhikuang Xin , Shunde Li , Zhiqiang Liang , Zhijie Pan , Fang Liu , Yan Zeng , Yangang Wang , Xuebin Chi

Arbitrary-precision integer multiplication is the core kernel of many applications in simulation, cryptography, etc. Existing acceleration of arbitrary-precision integer multiplication includes CPUs, GPUs, FPGAs, and ASICs. Among these…

Hardware Architecture · Computer Science 2023-09-22 Zhuoping Yang , Jinming Zhuang , Jiaqi Yin , Cunxi Yu , Alex K. Jones , Peipei Zhou

There is often variation in the shape and size of input data used for deep learning. In many cases, such data can be represented using tensors with non-uniform shapes, or ragged tensors. Due to limited and non-portable support for efficient…

Machine Learning · Computer Science 2022-03-23 Pratik Fegade , Tianqi Chen , Phillip B. Gibbons , Todd C. Mowry

Artificial intelligence (AI) methods have become critical in scientific applications to help accelerate scientific discovery. Large language models (LLMs) are being considered as a promising approach to address some of the challenging…

Scientific computing sometimes involves computation on sensitive data. Depending on the data and the execution environment, the HPC (high-performance computing) user or data provider may require confidentiality and/or integrity guarantees.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-27 Ayaz Akram , Anna Giannakou , Venkatesh Akella , Jason Lowe-Power , Sean Peisert

Computing systems have undergone several inflexion points - while Moore's law guided the semiconductor industry to cram more and more transistors and logic into the same volume, the limits of instruction-level parallelism (ILP) and the end…

Hardware Architecture · Computer Science 2022-03-24 Rajeev Muralidhar , Renata Borovica-Gajic , Rajkumar Buyya

The rapid advancements in artificial intelligence (AI), particularly the Large Language Models (LLMs), have profoundly affected our daily work and communication forms. However, it is still a challenge to deploy LLMs on resource-constrained…

Hardware Architecture · Computer Science 2025-03-03 Mingqiang Huang , Ao Shen , Kai Li , Haoxiang Peng , Boyu Li , Yupeng Su , Hao Yu

The prevailing model for disseminating scientific knowledge relies on individual publications dispersed across numerous journals and archives. This legacy system is ill suited to the recent exponential proliferation of publications,…

We present a versatile open-source framework designed to facilitate efficient, numerically-tailored Matrix-Matrix Multiplications (MMMs). The framework offers two primary contributions: first, a fine-tuned, automated pipeline for arithmetic…

Mathematical Software · Computer Science 2024-06-06 Louis Ledoux , Marc Casas

Mathematical operators whose transformation rules constitute the building blocks of a multi-linear algebra are widely used in physics and engineering applications where they are very often represented as tensors. In the last century, thanks…

Mathematical Software · Computer Science 2013-07-09 Edoardo Di Napoli , Diego Fabregat-Traver , Gregorio Quintana-Ortì , Paolo Bientinesi

Tensor operations are surging as the computational building blocks for a variety of scientific simulations and the development of high-performance kernels for such operations is known to be a challenging task. While for operations on one-…

Mathematical Software · Computer Science 2014-10-02 Elmar Peise , Diego Fabregat-Traver , Paolo Bientinesi

Estimates of energy usage in layers of computing from devices to algorithms have been determined and analyzed. Building on the previous analysis [3], energy needed from single devices and systems including three large-scale computing…

Computers and Society · Computer Science 2023-10-12 Sadasivan Shankar

Scientific applications are often complex, irregular, and computationally-intensive. To accommodate the ever-increasing computational demands of scientific applications, high-performance computing (HPC) systems have become larger and more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Ali Mohammed , Aurelien Cavelan , Florina M. Ciorba , Ruben M. Cabezon , Ioana Banicesu

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…

Edge-AI applications demand high-throughput, low-latency inference on FPGAs under tight resource and power constraints. This survey provides a comprehensive review of two key architectural decisions for FPGA-based neural network…

Hardware Architecture · Computer Science 2025-06-03 Richie Li

We present the design and implementation of PolyBlocks, a modular and reusable MLIR-based compiler infrastructure for AI programming frameworks and AI chips. PolyBlocks is based on pass pipelines that compose transformations on loop nests…

Programming Languages · Computer Science 2026-03-11 Uday Bondhugula , Akshay Baviskar , Navdeep Katel , Vimal Patel , Anoop JS , Arnab Dutta

Progress in AI is hindered by the lack of a programming language with all the requisite features. Libraries like PyTorch and TensorFlow provide automatic differentiation and efficient GPU implementation, but are additions to Python, which…

Artificial Intelligence · Computer Science 2025-10-17 Pedro Domingos

We describe a general-purpose computational toolkit for simulating open quantum systems, which provides numerically exact solutions for composites of zero-dimensional quantum systems that may be strongly coupled to multiple, quite general…

Quantum Physics · Physics 2024-10-03 Moritz Cygorek , Erik M. Gauger

High-performance micro-kernels must fully exploit today's diverse and specialized hardware to deliver peak performance to DNNs. While higher-level optimizations for DNNs are offered by numerous compilers (e.g., MLIR, TVM, OpenXLA),…