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Abstraction layers are of paramount importance in software architecture, as they shield the higher-level formulation of payload computations from lower-level details. Since quantum computing (QC) introduces many such details that are often…

Quantum Physics · Physics 2024-09-04 Lukas Schmidbauer , Karen Wintersperger , Elisabeth Lobe , Wolfgang Mauerer

Solving real-world optimization problems with quantum computing requires choosing between a large number of options concerning formulation, encoding, algorithm and hardware. Finding good solution paths is challenging for end users and…

In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems. The methods described here allow for the construction of…

Mathematical Software · Computer Science 2023-06-05 Will Pazner , Tzanio Kolev , Jean-Sylvain Camier

The trend towards highly parallel multi-processing is ubiquitous in all modern computer architectures, ranging from handheld devices to large-scale HPC systems; yet many applications are struggling to fully utilise the multiple levels of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-19 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , Xiaohu Guo , James Southern

Quantum simulation, the simulation of quantum processes on quantum computers, suggests a path forward for the efficient simulation of problems in condensed-matter physics, quantum chemistry, and materials science. While the majority of…

Quantum Physics · Physics 2022-10-03 Paul K. Faehrmann , Mark Steudtner , Richard Kueng , Maria Kieferova , Jens Eisert

Encoding combinatorial optimization problems into physically meaningful Hamiltonians with tractable energy landscapes forms the foundation of quantum optimization. Numerous works have studied such efficient encodings for the class of…

Quantum Physics · Physics 2026-02-12 Sebastian Egginger , Kristina Kirova , Sonja Bruckner , Stefan Hillmich , Richard Kueng

This study develops a framework for a class of constant modulus (CM) optimization problems, which covers binary constraints, discrete phase constraints, semi-orthogonal matrix constraints, non-negative semi-orthogonal matrix constraints,…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Junbin Liu , Ya Liu , Wing-Kin Ma , Mingjie Shao , Anthony Man-Cho So

FEMPAR is an open source object oriented Fortran200X scientific software library for the high-performance scalable simulation of complex multiphysics problems governed by partial differential equations at large scales, by exploiting…

Computational Engineering, Finance, and Science · Computer Science 2017-09-20 Santiago Badia , Alberto F. Martín , Javier Principe

Large language models show promise for automated CUDA programming, however even the strongest coding models (e.g., Claude-Opus-4.6) may still fall short of expert-level, architecture-aware optimization. We introduce CUDAHercules, a…

Machine Learning · Computer Science 2026-05-12 Shiyang Li , Zijian Zhang , Guangyan Sun , Yuebo Luo , Winson Chen , Yanzhi Wang , Mingyi Hong , Caiwen Ding

Hardware accelerations of deep learning systems have been extensively investigated in industry and academia. The aim of this paper is to achieve ultra-high energy efficiency and performance for hardware implementations of deep neural…

Machine Learning · Computer Science 2018-02-20 Yanzhi Wang , Caiwen Ding , Zhe Li , Geng Yuan , Siyu Liao , Xiaolong Ma , Bo Yuan , Xuehai Qian , Jian Tang , Qinru Qiu , Xue Lin

We are motivated by large scale submodular optimization problems, where standard algorithms that treat the submodular functions in the \emph{value oracle model} do not scale. In this paper, we present a model called the…

Machine Learning · Computer Science 2019-02-28 Rishabh Iyer , Jeff Bilmes

Different choices of quantum error-correcting codes can reduce the demands on the physical hardware needed to build a quantum computer. To achieve the full potential of a code, we must develop practical decoding algorithms that can correct…

Quantum Physics · Physics 2025-06-18 Zohar Schwartzman-Nowik , Benjamin J. Brown

Building a quantum computer that surpasses the computational power of its classical counterpart is a great engineering challenge. Quantum software optimizations can provide an accelerated pathway to the first generation of quantum computing…

In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular software architecture is carefully designed to exploit the resources of modern and future supercomputers.…

Mathematical Software · Computer Science 2018-05-28 Nils Kohl , Dominik Thönnes , Daniel Drzisga , Dominik Bartuschat , Ulrich Rüde

The true power of computational research typically can lay in either what it accomplishes or what it enables others to accomplish. In this work, both avenues are simultaneously embraced across several distinct efforts existing at three…

Materials Science · Physics 2024-11-06 Adam M. Krajewski

Recent leaps in large language models (LLMs) caused a revolution in programming tools (like GitHub Copilot) that can help with code generation, debugging, and even performance optimization. In this paper, we focus on the capabilities of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-21 Matyáš Brabec , Jiří Klepl , Michal Töpfer , Martin Kruliš

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

Computational Engineering, Finance, and Science · Computer Science 2020-09-23 Liang Chen , Herman M. H. Shen

Computer architecture design space is vast and complex. Tools are needed to explore new ideas and gain insights quickly, with low efforts and at a desired accuracy. We propose Calipers, a criticality-based framework to model key…

Performance · Computer Science 2022-01-19 Hossein Golestani , Rathijit Sen , Vinson Young , Gagan Gupta

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

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella