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Related papers: MOM: Matrix Operations in MLIR

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As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

Data Structures and Algorithms · Computer Science 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

There is a growing interest in enhancing compiler optimizations with ML models, yet interactions between compilers and ML frameworks remain challenging. Some optimizations require tightly coupled models and compiler internals,raising issues…

Large language models (LLMs) have demonstrated impressive capabilities in aiding developers with tasks like code comprehension, generation, and translation. Supporting multilingual programming -- i.e., coding tasks across multiple…

Programming Languages · Computer Science 2025-06-25 Yifan Zong , Yuntian Deng , Pengyu Nie

Sparse tensors arise in problems in science, engineering, machine learning, and data analytics. Programs that operate on such tensors can exploit sparsity to reduce storage requirements and computational time. Developing and maintaining…

Programming Languages · Computer Science 2022-09-20 Aart J. C. Bik , Penporn Koanantakool , Tatiana Shpeisman , Nicolas Vasilache , Bixia Zheng , Fredrik Kjolstad

In 1981 Hong and Kung proved a lower bound on the amount of communication needed to perform dense, matrix-multiplication using the conventional $O(n^3)$ algorithm, where the input matrices were too large to fit in the small, fast memory. In…

Computational Complexity · Computer Science 2011-09-20 Grey Ballard , James Demmel , Olga Holtz , Oded Schwartz

Leveraging machine-learning (ML) techniques for compiler optimizations has been widely studied and explored in academia. However, the adoption of ML in general-purpose, industry strength compilers has yet to happen. We propose MLGO, a…

Programming Languages · Computer Science 2021-01-14 Mircea Trofin , Yundi Qian , Eugene Brevdo , Zinan Lin , Krzysztof Choromanski , David Li

Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of modern computations. The efficiency of its performance depends on various factors, in particular vectorization, data movement and arithmetic…

Data Structures and Algorithms · Computer Science 2015-02-09 Victor Y. Pan

Deep Neural Networks (DNNs) have revolutionized many aspects of our lives. The use of DNNs is becoming ubiquitous including in softwares for image recognition, speech recognition, speech synthesis, language translation, to name a few. he…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-18 Sanket Tavarageri , Alexander Heinecke , Sasikanth Avancha , Gagandeep Goyal , Ramakrishna Upadrasta , Bharat Kaul

An important linear algebra routine, GEneral Matrix Multiplication (GEMM), is a fundamental operator in deep learning. Compilers need to translate these routines into low-level code optimized for specific hardware. Compiler-level…

Machine Learning · Computer Science 2019-09-25 Huaqing Zhang , Xiaolin Cheng , Hui Zang , Dae Hoon Park

A typical compiler flow relies on a uni-directional sequence of translation/optimization steps that lower the program abstract representation, making it hard to preserve higher-level program information across each transformation step. On…

Programming Languages · Computer Science 2022-02-10 Vinicius Couto , Luciano Zago , Hervé Yviquel , Guido Araújo

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

The trend towards specialization of software and hardware - fuelled by the end of Moore's law and the still accelerating interest in domain-specific computing, such as machine learning - forces us to radically rethink our compiler designs.…

Programming Languages · Computer Science 2022-01-12 Michel Steuwer , Thomas Koehler , Bastian Köpcke , Federico Pizzuti

In the past two decades, some major efforts have been made to reduce exact (e.g. integer, rational, polynomial) linear algebra problems to matrix multiplication in order to provide algorithms with optimal asymptotic complexity. To provide…

Symbolic Computation · Computer Science 2009-01-14 Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet

Providing machine learning (ML) over relational data is a mainstream requirement for data analytics systems. While almost all the ML tools require the input data to be presented as a single table, many datasets are multi-table, which forces…

Databases · Computer Science 2017-06-28 Lingjiao Chen , Arun Kumar , Jeffrey Naughton , Jignesh M. Patel

Mixed integer linear programming (MILP) solvers expose hundreds of parameters that have an outsized impact on performance but are difficult to configure for all but expert users. Existing machine learning (ML) approaches require training on…

Machine Learning · Computer Science 2025-09-25 Connor Lawless , Yingxi Li , Anders Wikum , Madeleine Udell , Ellen Vitercik

Matrix multiplication is the dominant computation during Machine Learning (ML) inference. To efficiently perform such multiplication operations, Compute-in-memory (CiM) paradigms have emerged as a highly energy efficient solution. However,…

Hardware Architecture · Computer Science 2025-03-03 Tanvi Sharma , Mustafa Ali , Indranil Chakraborty , Kaushik Roy

Quantum computing promises remarkable approaches for processing information, but new tools are needed to compile program representations into the physical instructions required by a quantum computer. Here we present a novel adaptation of…

A central challenge in developing Multimodal Large Language Models (MLLMs) is effectively integrating heterogeneous inputs into a cohesive reasoning engine. Current paradigms predominantly rely on modular architectures that introduce…

Genomics · Quantitative Biology 2026-05-12 Yanan Li , Christina Yi Jin , Yuan Jin , Manli Luo , Tie Xu , Shuai Jiao , Wei He , Qing Zhang