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In this paper we focus on the integration of high-performance numerical libraries in ab initio codes and the portability of performance and scalability. The target of our work is FLEUR, a software for electronic structure calculations…

Computational Engineering, Finance, and Science · Computer Science 2016-11-03 Diego Fabregat-Traver , Davor Davidović , Markus Höhnerbach , Edoardo Di Napoli

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš

This dissertation focuses on the design and the implementation of domain-specific compilers for linear algebra matrix equations. The development of efficient libraries for such equations, which lie at the heart of most software for…

Mathematical Software · Computer Science 2014-04-15 Diego Fabregat-Traver

As the capabilities of quantum computing hardware continue to rise, algorithms that exploit them are becoming increasingly complex. These developments increase the need for sophisticated compilation frameworks that translate high-level…

Quantum Physics · Physics 2026-04-13 Lukas Burgholzer , Daniel Haag , Yannick Stade , Damian Rovara , Patrick Hopf , Robert Wille

The rapid growth of deep learning has driven exponential increases in model parameters and computational demands. NVIDIA GPUs and their CUDA-based software ecosystem provide robust support for parallel computing, significantly alleviating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Jiaqi Lv , Xufeng He , Yanchen Liu , Xu Dai , Aocheng Shen , Yinghao Li , Jiachen Hao , Jianrong Ding , Yang Hu , Shouyi Yin

Intermediate Representations (IRs) play a critical role in compiler design and program analysis, yet their comprehension by Large Language Models (LLMs) remains underexplored. In this paper, we present an explorative empirical study…

Machine Learning · Computer Science 2025-06-06 Hailong Jiang , Jianfeng Zhu , Yao Wan , Bo Fang , Hongyu Zhang , Ruoming Jin , Qiang Guan

MLIR has become popular since it was open sourced in 2019. A sub-project of LLVM, the flexibility provided by MLIR to represent Intermediate Representations (IR) as dialects at different abstraction levels, to mix these, and to leverage…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-04 Nick Brown , Maurice Jamieson , Anton Lydike , Emilien Bauer , Tobias Grosser

AI kernel compilation for edge devices depends on the compiler's ability to exploit parallelism and hide memory latency in the presence of hierarchical memory and explicit data movement. This paper reports a benchmark methodology and…

Programming Languages · Computer Science 2026-02-25 Javed Absar , Samarth Narang , Muthu Baskaran

GCC and LLVM underpin much of modern software infrastructure, relying on distinct Intermediate Representations (IRs) to drive optimizations and code generation. However, the semantic and structural differences between these IRs create…

Programming Languages · Computer Science 2026-05-12 Andrea Valenzuela Ramirez , Cristian Gutierrez-Gomez , Marta Barroso , Dario Garcia-Gasulla , Sara Royuela

In recent years, a new kind of accelerated hardware has gained popularity in the Artificial Intelligence (AI) and Machine Learning (ML) communities which enables extremely high-performance tensor contractions in reduced precision for deep…

Computational Physics · Physics 2024-05-01 Adela Habib , Joshua Finkelstein , Anders M. N. Niklasson

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Jennifer A. Loe , Christian A. Glusa , Ichitaro Yamazaki , Erik G. Boman , Sivasankaran Rajamanickam

Many recent computational accelerators provide non-standard (e.g., reduced precision) arithmetic operations to enhance performance for floating-point matrix multiplication. Unfortunately, the properties of these accelerators are not widely…

Hardware Architecture · Computer Science 2025-02-25 Benjamin Valpey , Xinyi Li , Sreepathi Pai , Ganesh Gopalakrishnan

At the heart of deep learning training and inferencing are computationally intensive primitives such as convolutions which form the building blocks of deep neural networks. Researchers have taken two distinct approaches to creating high…

Programming Languages · Computer Science 2020-02-07 Sanket Tavarageri , Alexander Heinecke , Sasikanth Avancha , Gagandeep Goyal , Ramakrishna Upadrasta , Bharat Kaul

In this paper, we propose CUDA-L2, a system that combines large language models (LLMs) and reinforcement learning (RL) to automatically optimize Half-precision General Matrix Multiply (HGEMM) CUDA kernels. Using CUDA execution speed as the…

Machine Learning · Computer Science 2025-12-15 Songqiao Su , Xiaofei Sun , Xiaoya Li , Albert Wang , Jiwei Li , Chris Shum

Traditional Digital Signal Processing ( DSP ) compilers work at low level ( C-level / assembly level ) and hence lose much of the optimization opportunities present at high-level ( domain-level ). The emerging multi-level compiler…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Abhinav Kumar , Atharva Khedkar , Aviral Shrivastava

Computing-in-Memory (CIM) accelerators are a promising solution for accelerating Machine Learning (ML) workloads, as they perform Matrix-Vector Multiplications (MVMs) on crossbar arrays directly in memory. Although the bit widths of the…

Machine Learning · Computer Science 2026-03-20 Rebecca Pelke , Joel Klein , Jose Cubero-Cascante , Nils Bosbach , Jan Moritz Joseph , Rainer Leupers

Scientific programmers often turn to vendor-tuned Basic Linear Algebra Subprograms (BLAS) to obtain portable high performance. However, many numerical algorithms require several BLAS calls in sequence, and those successive calls result in…

Mathematical Software · Computer Science 2012-05-09 Geoffrey Belter , Elizabeth Jessup , Thomas Nelson , Boyana Norris , Jeremy G. Siek

FPGA acceleration is becoming increasingly important to meet the performance demands of modern computing, particularly in big data or machine learning applications. As such, significant effort is being put into the optimization of the…

Hardware Architecture · Computer Science 2023-09-25 Stephanie Soldavini , Christian Pilato

Developing efficient GPU kernels is essential for scaling modern AI systems, yet it remains a complex task due to intricate hardware architectures and the need for specialized optimization expertise. Although Large Language Models (LLMs)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Ali Tehrani , Yahya Emara , Essam Wissam , Wojciech Paluch , Waleed Atallah , Łukasz Dudziak , Mohamed S. Abdelfattah

Optimizing deep learning models is generally performed in two steps: (i) high-level graph optimizations such as kernel fusion and (ii) low level kernel optimizations such as those found in vendor libraries. This approach often leaves…

Machine Learning · Computer Science 2021-03-08 Pratik Fegade , Tianqi Chen , Phillip B. Gibbons , Todd C. Mowry