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Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Deep neural networks have achieved impressive supervised classification performance in many tasks including image recognition, speech recognition, and sequence to sequence learning. However, this success has not been translated to…

Machine Learning · Computer Science 2016-08-05 Arvind Neelakantan , Quoc V. Le , Ilya Sutskever

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

Algebraic Geometry · Mathematics 2015-03-03 Tianran Chen , Dhagash Mehta

General Purpose Graphics Processing Unit (GPGPU) computing plays a transformative role in deep learning and machine learning by leveraging the computational advantages of parallel processing. Through the power of Compute Unified Device…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ming Li , Ziqian Bi , Tianyang Wang , Yizhu Wen , Qian Niu , Xinyuan Song , Zekun Jiang , Junyu Liu , Benji Peng , Sen Zhang , Xuanhe Pan , Jiawei Xu , Jinlang Wang , Keyu Chen , Caitlyn Heqi Yin , Pohsun Feng , Ming Liu

We present a way to implement term rewriting on a GPU. We do this by letting the GPU repeatedly perform a massively parallel evaluation of all subterms. We find that if the term rewrite systems exhibit sufficient internal parallelism, GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-16 Johri van Eerd , Jan Friso Groote , Pieter Hijma , Jan Martens , Anton Wijs

This paper explores practical aspects of using a high-level functional language for GPU-based arithmetic on ``midsize'' integers. By this we mean integers of up to about a quarter million bits, which is sufficient for most practical…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Cosmin E. Oancea , Stephen M. Watt

We introduce a fusion of GPU accelerated primal heuristics for Mixed Integer Programming. Leveraging GPU acceleration enables exploration of larger search regions and faster iterations. A GPU-accelerated PDLP serves as an approximate LP…

Optimization and Control · Mathematics 2025-10-31 Akif Çördük , Piotr Sielski , Alice Boucher , Kumar Aatish

Deep neural network has recently shown very promising applications in different research directions and attracted the industry attention as well. Although the idea was introduced in the past but just recently the main limitation of using…

Signal Processing · Electrical Eng. & Systems 2019-04-16 Amin Abbasloo , Alan Salari

Modern graphics computing units (GPUs) are designed and optimized to perform highly parallel numerical calculations. This parallelism has enabled (and promises) significant advantages, both in terms of energy performance and calculation. In…

Hardware Architecture · Computer Science 2021-10-26 Quentin Gallouédec

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

The binary neural network, largely saving the storage and computation, serves as a promising technique for deploying deep models on resource-limited devices. However, the binarization inevitably causes severe information loss, and even…

Neural and Evolutionary Computing · Computer Science 2020-04-08 Haotong Qin , Ruihao Gong , Xianglong Liu , Xiao Bai , Jingkuan Song , Nicu Sebe

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu

Collocating deep learning training tasks improves GPU utilization but risks resource contention, severe slowdowns, and out-of-memory (OOM) failures. Accurate memory estimation is essential for robust collocation, and GPU utilization…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-29 Ehsan Yousefzadeh-Asl-Miandoab , Reza Karimzadeh , Danyal Yorulmaz , Bulat Ibragimov , Pınar Tözün

Constrained optimization problems arise frequently in classical machine learning. There exist frameworks addressing constrained optimization, for instance, CVXPY and GENO. However, in contrast to deep learning frameworks, GPU support is…

Machine Learning · Computer Science 2022-03-31 Sören Laue , Mark Blacher , Joachim Giesen

We introduce a method to train Binarized Neural Networks (BNNs) - neural networks with binary weights and activations at run-time and when computing the parameters' gradient at train-time. We conduct two sets of experiments, each based on a…

Machine Learning · Computer Science 2016-03-11 Itay Hubara , Daniel Soudry , Ran El Yaniv

The Nvidia GPU architecture has introduced new computing elements such as the \textit{tensor cores}, which are special processing units dedicated to perform fast matrix-multiply-accumulate (MMA) operations and accelerate \textit{Deep…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-12 Roberto Carrasco , Raimundo Vega , Cristóbal A. Navarro

The ability to train large-scale neural networks has resulted in state-of-the-art performance in many areas of computer vision. These results have largely come from computational break throughs of two forms: model parallelism, e.g. GPU…

Computer Vision and Pattern Recognition · Computer Science 2013-12-24 Thomas Paine , Hailin Jin , Jianchao Yang , Zhe Lin , Thomas Huang

Recently, the deep neural network (derived from the artificial neural network) has attracted many researchers' attention by its outstanding performance. However, since this network requires high-performance GPUs and large storage, it is…

Neural and Evolutionary Computing · Computer Science 2016-02-25 Song Wang , Dongchun Ren , Li Chen , Wei Fan , Jun Sun , Satoshi Naoi

Current AI code generation systems suffer from significant latency bottlenecks due to CPU-GPU data transfers during compilation, execution, and testing phases. We establish theoretical foundations for three complementary approaches to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Adilet Metinov , Gulida M. Kudakeeva , Gulnara D. Kabaeva

GPUs have significantly accelerated first-order methods for large-scale optimization, especially in continuous optimization. However, this success has not transferred cleanly to problems with discrete variables, combinatorial structure, and…

Machine Learning · Computer Science 2026-05-22 Jiachang Liu , Andrea Lodi