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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

A superoptimizing compiler--one that performs a meaningful search of the program space as part of the optimization process--can find optimization opportunities that are missed by even the best existing optimizing compilers. We created…

Programming Languages · Computer Science 2024-09-04 Zhengyang Liu , Stefan Mada , John Regehr

Precise hardware performance models play a crucial role in code optimizations. They can assist compilers in making heuristic decisions or aid autotuners in identifying the optimal configuration for a given program. For example, the…

Computer architectures become more and more complex. It requires more effort to develop techniques that improve the programs of performance and allow to exploit material resources efficiently. As a result, many transformations are applied…

Programming Languages · Computer Science 2019-08-06 Asma Balamane , Zina Taklit

We use TensorNetwork [C. Roberts et al., arXiv: 1905.01330], a recently developed API for performing tensor network contractions using accelerated backends such as TensorFlow, to implement an optimization algorithm for the Multi-scale…

Computational Physics · Physics 2019-07-01 Martin Ganahl , Ashley Milsted , Stefan Leichenauer , Jack Hidary , Guifre Vidal

In this paper, we demonstrate a compiler that can optimize sparse and recurrent neural networks, both of which are currently outside of the scope of existing neural network compilers (sparse neural networks here stand for networks that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Riyadh Baghdadi , Abdelkader Nadir Debbagh , Kamel Abdous , Fatima Zohra Benhamida , Alex Renda , Jonathan Elliott Frankle , Michael Carbin , Saman Amarasinghe

The real-world effectiveness of deep neural networks often depends on their latency, thereby necessitating optimization techniques that can reduce a model's inference time while preserving its performance. One popular approach is to…

Machine Learning · Computer Science 2024-10-10 Jakob Hartmann , Guoliang He , Eiko Yoneki

This work deals with the optimization of computer programs targeting Graphics Processing Units (GPUs). The goal is to lift, from programmers to optimizing compilers, the heavy burden of determining program details that are dependent on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Xiaohui Chen , Marc Moreno-Maza , Jeeva Paudel , Ning Xie

High-performance tensor programs are crucial to guarantee efficient execution of deep neural networks. However, obtaining performant tensor programs for different operators on various hardware platforms is notoriously challenging.…

ReLU neural networks have been modelled as constraints in mixed integer linear programming (MILP), enabling surrogate-based optimisation in various domains and efficient solution of machine learning certification problems. However, previous…

Optimization and Control · Mathematics 2023-12-05 Tom McDonald , Calvin Tsay , Artur M. Schweidtmann , Neil Yorke-Smith

Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-17 Alexandros Nikolaos Ziogas , Grzegorz Kwasniewski , Tal Ben-Nun , Timo Schneider , Torsten Hoefler

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

Optimization and Control · Mathematics 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

Kernel orchestration is the task of mapping the computation defined in different operators of a deep neural network (DNN) to the execution of GPU kernels on modern hardware platforms. Prior approaches optimize kernel orchestration by…

Data Structures and Algorithms · Computer Science 2024-06-17 Muyan Hu , Ashwin Venkatram , Shreyashri Biswas , Balamurugan Marimuthu , Bohan Hou , Gabriele Oliaro , Haojie Wang , Liyan Zheng , Xupeng Miao , Jidong Zhai

Tensor program tuning is essential for the efficient deployment of deep neural networks. Search-based approaches have demonstrated scalability and effectiveness in automatically finding high-performance programs for specific hardware.…

Machine Learning · Computer Science 2025-04-10 Liang Qiao , Jun Shi , Xiaoyu Hao , Xi Fang , Sen Zhang , Minfan Zhao , Ziqi Zhu , Junshi Chen , Hong An , Xulong Tang , Bing Li , Honghui Yuan , Xinyang Wang

Maximal Biclique Enumeration (MBE) holds critical importance in graph theory with applications extending across fields such as bioinformatics, social networks, and recommendation systems. However, its computational complexity presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-23 Chou-Ying Hsieh , Chia-Ming Chang , Po-Hsiu Cheng , Sy-Yen Kuo

Optimizing programs requires deep expertise. On one hand, it is a tedious task, because it requires a lot of tests to find out the best combination of optimizations to apply with their best factors. On the other hand, this task is critical,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Asma Balamane , Zina Taklit

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We present the first exact algorithm, called PEA, that fully utilizes the multicore architecture of…

Optimization and Control · Mathematics 2026-02-13 Kathrin Prinz , Levin Nemesch , Stefan Ruzika

Many real-world optimisation problems involve multiple objectives. When considered concurrently, they give rise to a set of optimal trade-off solutions, also known as efficient solutions. These solutions have the property that neither…

Optimization and Control · Mathematics 2022-05-09 Duleabom An , Sophie N. Parragh , Markus Sinnl , Fabien Tricoire