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We present a novel deep learning-based algorithm to accelerate - through the use of Artificial Neural Networks (ANNs) - the convergence of Algebraic Multigrid (AMG) methods for the iterative solution of the linear systems of equations…

数值分析 · 数学 2025-06-18 Paola F. Antonietti , Matteo Caldana , Luca Dede'

Non-autoregressive machine translation models significantly speed up decoding by allowing for parallel prediction of the entire target sequence. However, modeling word order is more challenging due to the lack of autoregressive factors in…

计算与语言 · 计算机科学 2020-04-06 Marjan Ghazvininejad , Vladimir Karpukhin , Luke Zettlemoyer , Omer Levy

This paper investigates solving convex composite optimization on an undirected network, where each node, privately endowed with a smooth component function and a nonsmooth one, is required to minimize the sum of all the component functions…

最优化与控制 · 数学 2021-08-13 Xuyang Wu , Jie Lu

Primary motivation for this work was the need to implement hardware accelerators for a newly proposed ANN structure called Auto Resonance Network (ARN) for robotic motion planning. ARN is an approximating feed-forward hierarchical and…

神经与进化计算 · 计算机科学 2024-02-02 Shilpa Mayannavar , Uday Wali

Ab initio molecular dynamics (AIMD) with hybrid density functionals and plane wave basis is computationally expensive due to the high computational cost of exact exchange energy evaluation. Recently, we proposed a strategy to combine…

化学物理 · 物理学 2021-01-11 Sagarmoy Mandal , Vaishali Thakkur , Nisanth N. Nair

This paper presents a novel method to compare two numbers in Residue Number System (RNS) using an additional modulus, which is often already available because it is required in modular computations and digital signal processing scaling.Our…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Laurent-Stéphane Didier , Léa Glandus , Nadia El Mrabet , Jean-Marc Robert

The expectation-maximization (EM) algorithm is a well-known iterative method for computing maximum likelihood estimates from incomplete data. Despite its numerous advantages, a main drawback of the EM algorithm is its frequently observed…

统计计算 · 统计学 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

When sum-of-squares (SOS) programs are recast as semidefinite programs (SDPs) using the standard monomial basis, the constraint matrices in the SDP possess a structural property that we call \emph{partial orthogonality}. In this paper, we…

最优化与控制 · 数学 2020-01-13 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou

Several large-scale machine learning tasks, such as data summarization, can be approached by maximizing functions that satisfy submodularity. These optimization problems often involve complex side constraints, imposed by the underlying…

数据结构与算法 · 计算机科学 2021-02-15 Francesco Quinzan , Vanja Doskoč , Andreas Göbel , Tobias Friedrich

Component Modal Synthesis (CMS) is a reduced order modelling method widely used for large-scale complex systems. It can effectively approximate system-level models through component synthesis, in which the repetitive geometrical components…

系统与控制 · 电气工程与系统科学 2025-07-08 Xiang Zhao , My Ha Dao

The alternating minimization (AM) method is a fundamental method for minimizing convex functions whose variable consists of two blocks. How to efficiently solve each subproblems when applying the AM method is the most concerned task. In…

最优化与控制 · 数学 2015-01-16 Hui Zhang , Lizhi Cheng

While machine learning techniques have been successfully applied in several fields, the black-box nature of the models presents challenges for interpreting and explaining the results. We develop a new framework called Adaptive Explainable…

机器学习 · 统计学 2020-06-03 Jie Chen , Joel Vaughan , Vijayan N. Nair , Agus Sudjianto

Deep Neural Networks (DNNs) have transformed the field of machine learning and are widely deployed in many applications involving image, video, speech and natural language processing. The increasing compute demands of DNNs have been widely…

机器学习 · 计算机科学 2021-08-17 Sourjya Roy , Mustafa Ali , Anand Raghunathan

Transformer-based autoregressive (AR) methods have achieved appealing performance for varied sequence-to-sequence generation tasks, e.g., neural machine translation, summarization, and code generation, but suffer from low inference…

计算与语言 · 计算机科学 2023-03-15 Yisheng Xiao , Ruiyang Xu , Lijun Wu , Juntao Li , Tao Qin , Yan-Tie Liu , Min Zhang

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

机器学习 · 计算机科学 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

Automated Essay Scoring (AES) is a cross-disciplinary effort involving Education, Linguistics, and Natural Language Processing (NLP). The efficacy of an NLP model in AES tests it ability to evaluate long-term dependencies and extrapolate…

计算与语言 · 计算机科学 2021-03-01 Christopher M Ormerod , Akanksha Malhotra , Amir Jafari

A modified Lagrange Polynomial is introduced for polynomial extrapolation, which can be used to estimate the equally spaced values of a polynomial function. As an example of its application, this article presents a prime-generating…

Number Theoretic Transform (NTT) is an essential mathematical tool for computing polynomial multiplication in promising lattice-based cryptography. However, costly division operations and complex data dependencies make efficient and…

硬件体系结构 · 计算机科学 2023-04-25 Jingyao Zhang , Mohsen Imani , Elaheh Sadredini

State-space models (SSM) are common in signal processing, where Kalman smoothing (KS) methods are state-of-the-art. However, traditional KS techniques lack expressivity as they do not incorporate spatial prior information. Recently, [1]…

图像与视频处理 · 电气工程与系统科学 2026-02-16 Benjamin Hawkes , Mike Davies , Victor Elvira , Audrey Repetti

Neural networks and deep learning are changing the way that artificial intelligence is being done. Efficiently choosing a suitable network architecture and fine-tune its hyper-parameters for a specific dataset is a time-consuming task given…

机器学习 · 计算机科学 2019-05-16 David Laredo , Yulin Qin , Oliver Schütze , Jian-Qiao Sun