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Effective relaxation methods are necessary for good multigrid convergence. For many equations, standard Jacobi and Gau{\ss}-Seidel are inadequate, and more sophisticated space decompositions are required; examples include problems with…

Mathematical Software · Computer Science 2021-07-06 Patrick E. Farrell , Matthew G. Knepley , Lawrence Mitchell , Florian Wechsung

Cooperative Co-evolution, through the decomposition of the problem space, is a primary approach for solving large-scale global optimization problems. Typically, when the subspaces are disjoint, the algorithms demonstrate significantly both…

Neural and Evolutionary Computing · Computer Science 2025-03-31 Wenjie Qiu , Hongshu Guo , Zeyuan Ma , Yue-Jiao Gong

Semidefinite Programming (SDP) provides tight lower bounds for Optimal Power Flow problems. However, solving large-scale SDP problems requires exploiting sparsity. In this paper, we experiment several clique decomposition algorithms that…

Optimization and Control · Mathematics 2019-12-20 Julie Sliwak , Miguel Anjos , Lucas Létocart , Jean Maeght , Emiliano Traversi

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee

In the era of the Big Data revolution, methods for the automatic discovery of regularities in large datasets are becoming essential tools in applied sciences. This article presents an open software package, named MODULO (MODal mULtiscale…

Data Analysis, Statistics and Probability · Physics 2020-11-12 Davide Ninni , Miguel A. Mendez

This position paper proposes a systematic approach towards developing a framework to help select the most effective embedding models for natural language processing (NLP) tasks, addressing the challenge posed by the proliferation of both…

Computation and Language · Computer Science 2024-09-02 Vivek Khetan

The knowledge of the users' electricity consumption pattern is an important coordinating mechanism between the utility company and the electricity consumers in terms of key decision makings. The load decomposition is therefore crucial to…

Machine Learning · Computer Science 2022-03-30 Jia Cui , Yonghui Jin , Renzhe Yu , Martin Onyeka Okoye , Yang Li , Junyou Yang , Shunjiang Wang

We present the Open MatSci ML Toolkit: a flexible, self-contained, and scalable Python-based framework to apply deep learning models and methods on scientific data with a specific focus on materials science and the OpenCatalyst Dataset. Our…

Machine Learning · Computer Science 2023-09-01 Santiago Miret , Kin Long Kelvin Lee , Carmelo Gonzales , Marcel Nassar , Matthew Spellings

The Massive Parallel Computation (MPC) model is a theoretical framework for popular parallel and distributed platforms such as MapReduce, Hadoop, or Spark. We consider the task of computing a large matching or small vertex cover in this…

Data Structures and Algorithms · Computer Science 2018-07-24 Krzysztof Onak

Overdecomposition has emerged as a powerful and sometimes essential technique in parallel programming. Many application domains or frameworks, including those based on adaptive mesh refinements, or tree codes use it. Charm++ is a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Aditya Bhosale , Anant Jain , Shourya Goel , Ritvik Rao , Peddoju Sateesh Kumar , Laxmikant Kale

Designing complex engineered systems requires managing tightly coupled trade-offs between subsystem capabilities and resource requirements. Monotone co-design provides a compositional language for such problems, but its generality does not…

Optimization and Control · Mathematics 2026-04-01 Yubo Cai , Yujun Huang , Meshal Alharbi , Gioele Zardini

Dense, discrete Graphical Models with pairwise potentials are a powerful class of models which are employed in state-of-the-art computer vision and bio-imaging applications. This work introduces a new MAP-solver, based on the popular Dual…

Machine Learning · Computer Science 2020-04-20 Siddharth Tourani , Alexander Shekhovtsov , Carsten Rother , Bogdan Savchynskyy

Machine learning can provide deep insights into data, allowing machines to make high-quality predictions and having been widely used in real-world applications, such as text mining, visual classification, and recommender systems. However,…

Machine Learning · Computer Science 2020-08-11 Meng Wang , Weijie Fu , Xiangnan He , Shijie Hao , Xindong Wu

Multi-label classification (MLC) is an important class of machine learning problems that come with a wide spectrum of applications, each demanding a possibly different evaluation criterion. When solving the MLC problems, we generally expect…

Machine Learning · Computer Science 2019-10-08 Yao-Yuan Yang , Yi-An Lin , Hong-Min Chu , Hsuan-Tien Lin

The performance of Visio-Language Transformers drops sharply when an input modality (e.g., image) is missing, because the model is forced to make predictions using incomplete information. Existing missing-aware prompt methods help reduce…

Machine Learning · Computer Science 2025-11-18 Jueqing Lu , Yuanyuan Qi , Xiaohao Yang , Shuaicheng Niu , Fucai Ke , Shujie Zhou , Wei Tan , Jionghao Lin , Wray Buntine , Hamid Rezatofighi , Lan Du

Several well known large scale linear programming decomposition methodologies exist. Benders Decomposition, which covers the case where some small subset of variables link the otherwise separable subproblems. Dantzig-Wolfe decomposition and…

Optimization and Control · Mathematics 2020-03-04 Bruce A. Cox

To achieve a low computational cost when performing online metric learning for large-scale data, we present a one-pass closed-form solution namely OPML in this paper. Typically, the proposed OPML first adopts a one-pass triplet construction…

Machine Learning · Computer Science 2016-09-30 Wenbin Li , Yang Gao , Lei Wang , Luping Zhou , Jing Huo , Yinghuan Shi

When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be used to decode error-correcting codes at…

Information Theory · Computer Science 2013-09-24 Siddharth Barman , Xishuo Liu , Stark C. Draper , Benjamin Recht

In recent years, the field of artificial intelligence has undergone a paradigm shift from task-specific small-scale models to general-purpose large language models (LLMs). With the rapid iteration of LLMs, objective, quantitative, and…

Image processing applications are common in every field of our daily life. However, most of them are very complex and contain several tasks with different complexities which result in varying requirements for computing architectures.…

Computer Vision and Pattern Recognition · Computer Science 2015-02-27 Christian Hartmann , Anna Yupatova , Marc Reichenbach , Dietmar Fey , Reinhard German