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We present and analyze a preconditioned conjugate gradient method (PCG) for solving spatial network problems. Primarily, we consider diffusion and structural mechanics simulations for fiber based materials, but the methodology can be…

Numerical Analysis · Mathematics 2022-07-18 Morgan Görtz , Fredrik Hellman , Axel Målqvist

We propose a simple domain decomposition method for $d$-dimensional elliptic PDEs which involves an overlapping decomposition into local subdomain problems and a global coarse problem. It relies on a space-filling curve to create equally…

Numerical Analysis · Mathematics 2021-03-08 Michael Griebel , Marc-Alexander Schweitzer , Lukas Troska

Performance analysis of first-order algorithms with inexact oracles has gained recent attention due to various emerging applications in which obtaining exact gradients is impossible or computationally expensive. Previous research has…

Optimization and Control · Mathematics 2025-10-15 Yin Liu , Sam Davanloo Tajbakhsh

Large-scale recommendations commonly adopt a multi-stage cascading ranking system paradigm to balance effectiveness and efficiency. Early Stage Ranking (ESR) systems utilize the "user-item decoupling" approach, where independently learned…

Computational Super-Resolution (CSR) in fluorescence microscopy has, despite being an ill-posed problem, a long history. At its very core, CSR is about finding a prior that can be used to extrapolate frequencies in a micrograph that have…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Anirban Ray , Vera Galinova , Florian Jug

Recovery type a posteriori error estimators are popular, particularly in the engineering community, for their computationally inexpensive, easy to implement, and generally asymptotically exactness. Unlike the residual type error estimators,…

Numerical Analysis · Mathematics 2025-03-26 Ying Liu , Jingjing Xiao , Nianyu Yi , Huihui Cao

Efficient and scalable decoding of quantum codes is essential for high-performance quantum error correction. In this work, we introduce Reliable Subset Reduction (RSR), a reliability-driven preprocessing framework that leverages belief…

Quantum Physics · Physics 2026-02-24 Ching-Feng Kung , Kao-Yueh Kuo , Ching-Yi Lai

To achieve fast recovery from link failures, most modern communication networks feature fully decentralized fast re-routing mechanisms. These re-routing mechanisms rely on pre-installed static re-routing rules at the nodes (the routers),…

Data Structures and Algorithms · Computer Science 2026-01-08 Matthias Bentert , Esra Ceylan-Kettler , Valentin Hübner , Stefan Schmid , Jiří Srba

We consider checkpointing strategies that minimize the number of recomputations needed when performing discrete adjoint computations using multistage time-stepping schemes, which requires computing several substeps within one complete time…

Mathematical Software · Computer Science 2022-04-29 Hong Zhang , Emil Constantinescu

In recent years, Reinforcement Learning (RL) has been applied to real-world problems with increasing success. Such applications often require to put constraints on the agent's behavior. Existing algorithms for constrained RL (CRL) rely on…

Machine Learning · Computer Science 2023-03-07 Ted Moskovitz , Brendan O'Donoghue , Vivek Veeriah , Sebastian Flennerhag , Satinder Singh , Tom Zahavy

Automatic Speech Recognition (ASR) systems have demonstrated remarkable performance across various applications. However, limited data and the unique language features of specific domains, such as low-resource languages, significantly…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-22 Amin Robatian , Mohammad Hajipour , Mohammad Reza Peyghan , Fatemeh Rajabi , Sajjad Amini , Shahrokh Ghaemmaghami , Iman Gholampour

This paper proposes a novel and interpretable recurrent neural-network structure using the echo-state network (ESN) paradigm for time-series prediction. While the traditional ESNs perform well for dynamical systems prediction, it needs a…

Machine Learning · Computer Science 2024-04-01 Debdipta Goswami

Search is a key service within constraint programming systems, and it demands the restoration of previously accessed states during the exploration of a search tree. Restoration proceeds either bottom-up within the tree to roll back…

Programming Languages · Computer Science 2016-02-05 Yong Lin , Martin Henz

Motivated by robust matrix recovery problems such as Robust Principal Component Analysis, we consider a general optimization problem of minimizing a smooth and strongly convex loss function applied to the sum of two blocks of variables,…

Machine Learning · Computer Science 2019-11-19 Dan Garber , Shoham Sabach , Atara Kaplan

Software reuse, especially partial reuse, poses legal and security threats to software development. Since its source codes are usually unavailable, software reuse is hard to be detected with interpretation. On the other hand, current…

Software Engineering · Computer Science 2021-03-19 Xi Xu , Qinghua Zheng , Zheng Yan , Ming Fan , Ang Jia , Ting Liu

We present the remote stochastic gradient (RSG) method, which computes the gradients at configurable remote observation points, in order to improve the convergence rate and suppress gradient noise at the same time for different curvatures.…

Machine Learning · Computer Science 2020-09-08 Yushu Chen , Hao Jing , Wenlai Zhao , Zhiqiang Liu , Ouyi Li , Liang Qiao , Wei Xue , Guangwen Yang

Stochastically controlled stochastic gradient (SCSG) methods have been proved to converge efficiently to first-order stationary points which, however, can be saddle points in nonconvex optimization. It has been observed that a stochastic…

Optimization and Control · Mathematics 2021-04-26 Guannan Liang , Qianqian Tong , Chunjiang Zhu , Jinbo Bi

We present and analyze several strategies for improving the performance of stochastic variance-reduced gradient (SVRG) methods. We first show that the convergence rate of these methods can be preserved under a decreasing sequence of errors…

Machine Learning · Computer Science 2016-08-06 Reza Babanezhad , Mohamed Osama Ahmed , Alim Virani , Mark Schmidt , Jakub Konečný , Scott Sallinen

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2014-06-26 Yunghsiang Han , Hung-Ta Pai , Rong Zheng , Pramod K. Varshney

Limitations of CAP theorem imply that if availability is desired in the presence of network partitions, one must sacrifice sequential consistency, a consistency model that is more natural for system design. We focus on the problem of what a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-24 Duong Nguyen , Aleksey Charapko , Sandeep Kulkarni , Murat Demirbas