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As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

Machine Learning · Computer Science 2021-05-05 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy

As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

Machine Learning · Computer Science 2021-05-24 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy

Leveraging the current generation of quantum devices to solve optimization problems of practical interest necessitates the development of hybrid quantum-classical (HQC) solution approaches. In this paper, a multi-cut Benders decomposition…

Quantum Physics · Physics 2023-02-14 Nikolaos G. Paterakis

Important memory-bound kernels, such as linear algebra, convolutions, and stencils, rely on SIMD instructions as well as optimizations targeting improved vectorized data traversal and data re-use to attain satisfactory performance. On on…

Performance · Computer Science 2024-12-23 Miguel O. Blom , Kristian F. D. Rietveld , Rob V. van Nieuwpoort

The exponential growth of floating point power in graphics processing units (GPUs), together with their low cost, has given rise to an attractive platform upon which to deploy lattice QCD calculations. GPUs are essentially many (O(100))…

High Energy Physics - Lattice · Physics 2010-11-05 M. A. Clark

Stencil computations are widely used in HPC applications. Today, many HPC platforms use GPUs as accelerators. As a result, understanding how to perform stencil computations fast on GPUs is important. While implementation strategies for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-16 Ryuichi Sai , John Mellor-Crummey , Xiaozhu Meng , Mauricio Araya-Polo , Jie Meng

The biggest cost of computing with large matrices in any modern computer is related to memory latency and bandwidth. The average latency of modern RAM reads is 150 times greater than a clock step of the processor. Throughput is a little…

Data Structures and Algorithms · Computer Science 2013-03-04 Crysttian Arantes Paixão , Flávio Codeço Coelho

We propose a quantum-classical hybrid method for solving large-scale mixed-integer quadratic problems (MIQP). Although extended Benders decomposition is effective for MIQP, its master problem which handles the integer and quadratic…

Quantum Physics · Physics 2026-02-19 Takuma Yoshihara , Masayuki Ohzeki

Computing platforms equipped with accelerators like GPUs have proven to provide great computational power. However, exploiting such platforms for existing scientific applications is not a trivial task. Current GPU programming frameworks…

High Energy Physics - Lattice · Physics 2014-08-27 F. T. Winter , M. A. Clark , R. G. Edwards , B. Joó

One of the most promising paths towards large scale fault tolerant quantum computation is the use of quantum error correcting stabilizer codes. Just like every other quantum circuit, these codes must be compiled to hardware in a way to…

Quantum Physics · Physics 2025-08-07 Sahil Khan , Suhas Vittal , Kenneth Brown , Jonathan Baker

Gradient compression (GC) is a promising approach to addressing the communication bottleneck in distributed deep learning (DDL). However, it is challenging to find the optimal compression strategy for applying GC to DDL because of the…

Machine Learning · Computer Science 2022-06-08 Zhuang Wang , Haibin Lin , Yibo Zhu , T. S. Eugene Ng

We present a parallel computing strategy for a hybridizable discontinuous Galerkin (HDG) nested geometric multigrid (GMG) solver. Parallel GMG solvers require a combination of coarse-grain and fine-grain parallelism to improve time to…

Numerical Analysis · Mathematics 2019-07-18 M. S. Fabien , M. G. Knepley , R. T. Mills , B. M. Riviere

Controllable generative models have been widely used to improve the realism of synthetic visual content. However, such models must handle control conditions and content generation computational requirements, resulting in generally low…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Lin Liu , Huixia Ben , Shuo Wang , Jinda Lu , Junxiang Qiu , Shengeng Tang , Yanbin Hao

With the advent of massive data sets much of the computational science and engineering community has moved toward data-intensive approaches in regression and classification. However, these present significant challenges due to increasing…

Computation · Statistics 2024-04-25 Julio E. Castrillon-Candas

Matrix factorization (MF) has been widely used in e.g., recommender systems, topic modeling and word embedding. Stochastic gradient descent (SGD) is popular in solving MF problems because it can deal with large data sets and is easy to do…

Machine Learning · Computer Science 2016-11-11 Xiaolong Xie , Wei Tan , Liana L. Fong , Yun Liang

Linear solvers are key components in any software platform for scientific and engineering computing. The solution of large and sparse linear systems lies at the core of physics-driven numerical simulations relying on partial differential…

Numerical Analysis · Mathematics 2026-04-16 Massimo Bernaschi , Mauro G. Carrozzo , Alessandro Celestini , Giacomo Piperno , Pasqua D'Ambra

We revisit the problem of large-scale bundle adjustment and propose a technique called Multidirectional Conjugate Gradients that accelerates the solution of the normal equation by up to 61%. The key idea is that we enlarge the search space…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Simon Weber , Nikolaus Demmel , Daniel Cremers

We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs. This framework allows us to enforce stabilizer commutation, $X/Z$ balancing,…

Quantum Physics · Physics 2023-04-26 Maxime Tremblay , Guillaume Duclos-Cianci , Stefanos Kourtis

We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We focus on patch smoothers, which offer robust convergence…

Numerical Analysis · Mathematics 2025-06-23 Michał Wichrowski , Peter Munch , Martin Kronbichler , Guido Kanschat

Neural network quantization is frequently used to optimize model size, latency and power consumption for on-device deployment of neural networks. In many cases, a target bit-width is set for an entire network, meaning every layer get…

Machine Learning · Computer Science 2023-02-13 Nilesh Prasad Pandey , Markus Nagel , Mart van Baalen , Yin Huang , Chirag Patel , Tijmen Blankevoort