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We introduce a framework, which we denote as the augmented estimate sequence, for deriving fast algorithms with provable convergence guarantees. We use this framework to construct a new first-order scheme, the Accelerated Composite Gradient…

Optimization and Control · Mathematics 2019-04-24 Mihai I. Florea , Sergiy A. Vorobyov

The numerical complex coupled-mode method used in a metal thin-film optic element is applied to a planar multilayer optical waveguide. All modes are required to satisfy Helmholtz Vectorial equation in an optical waveguide including bound…

Optics · Physics 2020-01-06 Shahram Moradi

We propose an energy amplification technique to address the issue that existing models easily overlook low-energy components in time series forecasting. This technique comprises an energy amplification block and an energy restoration block.…

Machine Learning · Computer Science 2025-02-25 Jingru Fei , Kun Yi , Wei Fan , Qi Zhang , Zhendong Niu

Fourier acceleration is a technique used in Hybrid Monte Carlo simulations to decrease the autocorrelation between subsequent field configurations in the generated ensemble. It has been shown, in the perturbative limit, to eliminate the…

High Energy Physics - Lattice · Physics 2025-04-25 Cameron Cianci , Luchang Jin , Joshua Swaim

Mixed-signal hardware accelerators for deep learning achieve orders of magnitude better power efficiency than their digital counterparts. In the ultra-low power consumption regime, limited signal precision inherent to analog computation…

Emerging Technologies · Computer Science 2019-04-04 Michael Klachko , Mohammad Reza Mahmoodi , Dmitri B. Strukov

It can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of systems. However, even if the computer model relies on a covariant set of equations, it has been pointed out that…

Accelerator Physics · Physics 2009-10-01 J. -L. Vay , W. M. Fawley , C. G. Geddes , E. Cormier-Michel , D. P. Grote

Transformers are central to advances in artificial intelligence (AI), excelling in fields ranging from computer vision to natural language processing. Despite their success, their large parameter count and computational demands challenge…

Hardware Architecture · Computer Science 2025-03-10 Qunyou Liu , Marina Zapater , David Atienza

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

Optimization and Control · Mathematics 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

Optimization and Control · Mathematics 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

Coupling is a widely used technique in the theoretical study of interacting stochastic processes. In this paper I present an example demonstrating its usefulness also in the efficient computer simulation of such processes. I first describe…

Populations and Evolution · Quantitative Biology 2012-04-16 Ilmari Karonen

A model of an Er$^{3+}$/Yb$^{3+}$ co-doped glass gain medium is considered. The system of rate equations taking into account a minimum set of processes required to describe experimental data is built. As a result, a moderate number of…

Optics · Physics 2023-05-05 D. K. Vysokikh , A. P. Bazakutsa , A. V. Dorofeenko , O. V. Butov

Advances in ultra-intense laser technology have increased repetition rates and average power for chirped-pulse laser systems, which offers a promising solution for many applications including energetic proton sources. An important challenge…

In this paper we consider the problem of decentralized (distributed) adaptive learning, where the aim of the network is to train the coefficients of a widely linear autoregressive moving average (ARMA) model by measurements collected by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-13 Azam Khalili , Reza G. Rahmati , Amir Rastegarnia , Wael M. Bazzi

Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discrete particles moving in continuum. Although our method is…

Statistical Mechanics · Physics 2009-10-31 Francis J. Alexander , Bruce M. Boghosian , Richard C. Brower , S. Roy Kimura

Federated learning (FL) as a promising edge-learning framework can effectively address the latency and privacy issues by featuring distributed learning at the devices and model aggregation in the central server. In order to enable efficient…

Information Theory · Computer Science 2022-07-12 Chunmei Xu , Shengheng Liu , Zhaohui Yang , Yongming Huang , Kai-Kit Wong

Multimode fibers (MMFs) offer a cost-effective connection solution for small and medium length networks. However, data rates through multimode fibers are traditionally limited by modal dispersion. Signal processing and Multiple-Input…

Optics · Physics 2011-10-06 Kumar Appaiah , Sagi Zisman , Sriram Vishwanath , Seth R. Bank

A theoretical model for laser cooled continuous-wave fiber amplifier is presented. The amplification process takes place in the Tm3+-doped core of the fluoride ZBLAN (ZrF4-BaF2-LaF3-AlF3-NaF) glass fiber. The cooling process takes place in…

Optics · Physics 2009-09-30 Galina Nemova

In this paper, we propose a new class of parameter estimation laws for adaptive systems, called \emph{normalized parameter estimation laws}. A key feature of these estimation laws is that they accelerate the convergence of the system state,…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Mohammad Boveiri , Mohammad Khosravi , Peyman Mohajerin Esfahani

We propose and demonstrate a method for the adaptive wavefront correction of dynamic multimode fiber beams for the first time. The wavefront of incident beam is reconstructed in real-time based on the complete modal information, which…

Data augmentation methods have been shown to be a fundamental technique to improve generalization in tasks such as image, text and audio classification. Recently, automated augmentation methods have led to further improvements on image…

Machine Learning · Computer Science 2021-02-17 Elizabeth Fons , Paula Dawson , Xiao-jun Zeng , John Keane , Alexandros Iosifidis