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High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

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

Automated code generation remains a persistent challenge in software engineering, as conventional multi-agent frameworks are often constrained by static planning, isolated execution, high computational overhead, and limited adaptability to…

Software Engineering · Computer Science 2026-04-21 Duy Tung Doan , Quang Huy Phung , Dzung Nguyen , Khac-Hoai Nam Bui

The electrical and electronic engineering has used parallel programming to solve its large scale complex problems for performance reasons. However, as parallel programming requires a non-trivial distribution of tasks and data, developers…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-05 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarc'H , Jean-Luc Dekeyser , Yvonnick Le Menach

Hybrid tabular-textual question answering (QA) requires reasoning from heterogeneous information, and the types of reasoning are mainly divided into numerical reasoning and span extraction. Current numerical reasoning methods…

Computation and Language · Computer Science 2023-10-16 Tengxun Zhang , Hongfei Xu , Josef van Genabith , Deyi Xiong , Hongying Zan

Automatic code generation is frequently used to create implementations of algorithms specifically tuned to particular hardware and application parameters. The code generation process involves the selection of adequate code transformations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-08 Dominik Ernst , Markus Holzer , Georg Hager , Matthias Knorr , Gerhard Wellein

Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that expose ultra fine-grain parallelism and maximize the ratio of…

Code generation aims to automatically generate code snippets of specific programming language according to natural language descriptions. The continuous advancements in deep learning, particularly pre-trained models, have empowered the code…

Software Engineering · Computer Science 2025-01-24 Zezhou Yang , Sirong Chen , Cuiyun Gao , Zhenhao Li , Xing Hu , Kui Liu , Xin Xia

In this paper a local Fourier analysis for multigrid methods on tetrahedral grids is presented. Different smoothers for the discretization of the Laplace operator by linear finite elements on such grids are analyzed. A four-color smoother…

Numerical Analysis · Computer Science 2014-10-28 B. Gmeiner , T. Gradl , F. Gaspar , U. Rüde

We introduce a novel hybrid quantum-classical variational optimization method for unconstrained binary combinatorial optimization problems on gate-model quantum computers, integrating a custom variational ansatz, staged feedback-based dual…

Creating high performance implementations of deep learning primitives on CPUs is a challenging task. Multiple considerations including multi-level cache hierarchy, and wide SIMD units of CPU platforms influence the choice of program…

Programming Languages · Computer Science 2021-04-13 Sanket Tavarageri , Gagandeep Goyal , Sasikanth Avancha , Bharat Kaul , Ramakrishna Upadrasta

Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over…

Mathematical Software · Computer Science 2020-08-26 Tianjiao Sun , Lawrence Mitchell , Kaushik Kulkarni , Andreas Klöckner , David A. Ham , Paul H. J. Kelly

Resource scheduling is critical in many industries, especially in power systems. The Unit Commitment problem determines the on/off status and output levels of generators under many constraints. Traditional exact methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Tyler Christeson , Md Habib Ullah , Ali Arabnya , Amin Khodaei , Rui Fan

SIMD vectorization has lately become a key challenge in high-performance computing. However, hand-written explicitly vectorized code often poses a threat to the software's sustainability. In this publication we solve this sustainability and…

Numerical Analysis · Mathematics 2018-12-20 Dominic Kempf , René Heß , Steffen Müthing , Peter Bastian

This work introduces an adaptive mesh refinement technique for hierarchical hybrid grids with the goal to reach scalability and maintain excellent performance on massively parallel computer systems. On the block structured hierarchical…

Numerical Analysis · Mathematics 2025-08-11 Benjamin Mann , Ulrich Rüde

Numerical methods such as the Finite Element Method (FEM) have been successfully adapted to utilize the computational power of GPU accelerators. However, much of the effort around applying FEM to GPU's has been focused on high-order FEM due…

Modern polyhedral compilers excel at aggressively optimizing codes with static control parts, but the state-of-practice to find high-performance polyhedral transformations especially for different hardware targets still largely involves…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-10 Martin Kong , Louis-Noël Pouchet

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

Generation of optimal codes is a well known problem in coding theory. Many computational approaches exist in the literature for finding record breaking codes. However generating codes with long lengths $n$ using serial algorithms is…

Information Theory · Computer Science 2015-07-21 Srajan Paliwal , Saurabh Tiwary , Bhaskar Chaudhury , Manish K. Gupta

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi