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The logarithmic number system (LNS) is arguably not broadly used due to exponential circuit overheads for summation tables relative to arithmetic precision. Methods to reduce this overhead have been proposed, yet still yield designs with…

Numerical Analysis · Mathematics 2020-05-15 Jeff Johnson

For simulating incompressible flows by projection methods. it is generally accepted that the pressure-correction stage is the most time-consuming part of the flow solver. The objective of the present work is to develop a fast hybrid…

Fluid Dynamics · Physics 2023-06-05 Jiannong Fang

Modern large language models (LLMs) increasingly depends on efficient long-context processing and generation mechanisms, including sparse attention, retrieval-augmented generation (RAG), and compressed contextual memory, to support complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Zifan He , Rui Ma , Yizhou Sun , Jason Cong

In the field of federated learning, addressing non-independent and identically distributed (non-i.i.d.) data remains a quintessential challenge for improving global model performance. This work introduces the Feature Norm Regularized…

Machine Learning · Computer Science 2023-12-13 Ke Hu , WeiDong Qiu , Peng Tang

The Parareal algorithm is used to solve time-dependent problems considering multiple solvers that may work in parallel. The key feature is a initial rough approximation of the solution that is iteratively refined by the parallel solvers. We…

Systems and Control · Computer Science 2014-02-18 Loïc Michel

In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable coefficients satisfying initial conditions in a series of…

Analysis of PDEs · Mathematics 2020-09-04 Prakash Kumar Das , M. M. Panja

Despite rapid improvements in the performance of central processing unit (CPU), the calculation cost of simulating chemically reacting flow using CFD remains infeasible in many cases. The application of the convolutional neural networks…

Machine Learning · Computer Science 2023-07-26 Joongoo Jeon , Juhyeong Lee , Sung Joong Kim

Computational fluid dynamics (CFD) simulations of viscous fluids described by the Navier-Stokes equations are considered. Depending on the Reynolds number of the flow, the Navier-Stokes equations may exhibit a highly nonlinear behavior. The…

Numerical Analysis · Mathematics 2023-10-11 Anouk Zandbergen , Tycho van Noorden , Alexander Heinlein

In this paper we explore acceleration techniques for large scale nonconvex optimization problems with special focuses on deep neural networks. The extrapolation scheme is a classical approach for accelerating stochastic gradient descent for…

Machine Learning · Statistics 2018-05-18 Guangzeng Xie , Yitan Wang , Shuchang Zhou , Zhihua Zhang

This paper addresses how two time integration schemes, the Heun's scheme for explicit time integration and the second-order Crank-Nicolson scheme for implicit time integration, can be coupled spatially. This coupling is the prerequisite to…

Computational Physics · Physics 2019-10-02 Laurent Muscat , Guillaume Puigt , Marc Montagnac , Pierre Brenner

We propose an accelerated computational fluid dynamics framework based on a hybrid Fourier Neural Operator-Lattice Boltzmann Method (FNO-LBM) for steady and unsteady weakly compressible flows. FNO-based initialization significantly…

Fluid Dynamics · Physics 2026-05-01 Alexandra Junk , Josef M. Winter , Meike Tütken , Steffen Schmidt , Nikolaus A. Adams

In subsurface multiphase flow simulations, poor nonlinear solver performance is a significant runtime sink. The system of fully implicit mass balance equations is highly nonlinear and often difficult to solve for the nonlinear solver,…

Numerical Analysis · Mathematics 2021-11-24 Sebastian B. M. Bosma , Francois P. Hamon , Brad T. Mallison , Hamdi A. Tchelepi

We present a novel machine learning approach for data assimilation applied in fluid mechanics, based on adjoint-optimization augmented by Graph Neural Networks (GNNs) models. We consider as baseline the Reynolds-Averaged Navier-Stokes…

This paper presents methods to accelerate recurrent neural network based language models (RNNLMs) for online speech recognition systems. Firstly, a lossy compression of the past hidden layer outputs (history vector) with caching is…

Computation and Language · Computer Science 2018-01-31 Kyungmin Lee , Chiyoun Park , Namhoon Kim , Jaewon Lee

Maximizing the Kullback-Leibler divergence (KLD) is a fundamental problem in waveform design for active sensing and hypothesis testing, as it directly relates to the error exponent of detection probability. However, the associated…

Signal Processing · Electrical Eng. & Systems 2026-01-05 Jeongwoo Park , Seongkyu Jung , Kaiming Shen , Jeonghun Park

In this paper, we propose, analyze, and test an efficient algorithm for computing ensemble average of incompressible magnetohydrodynamics (MHD) flows, where instances/members correspond to varying kinematic viscosity, magnetic diffusivity,…

Numerical Analysis · Mathematics 2021-08-12 Muhammad Mohebujjaman , Hongwei Wang , Leo G. Rebholz , Md. Abdullah Al Mahbub

Accelerating Human Action Recognition (HAR) efficiently for real-time surveillance and robotic systems on edge chips remains a challenging research field, given its high computational and memory requirements. This paper proposed an…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Azzam Alhussain , Mingjie Lin

In this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element (FV/FE) method for the resolution of weakly compressible flows in two and three space dimensions. The pressure-based methodology introduced in…

Numerical Analysis · Mathematics 2020-06-16 A. Bermúdez , S. Busto , M. Dumbser , J. L. Ferrín , L. Saavedra , M. E. Vázquez-Cendón

Contextual sparsity is one of the approaches used to reduce computational complexity in the inference process of large language models (LLMs). Existing techniques for efficient LLM inference acceleration based on contextual sparsity with…

Machine Learning · Computer Science 2026-03-17 Georgii Serbin , Kirill Koshkin , Zhongao Sun , Anastasiya Bistrigova , C. C. Korikov

The growing demand for real-time DNN applications on edge devices necessitates faster inference of increasingly complex models. Although many devices include specialized accelerators (e.g., mobile GPUs), dynamic control-flow operators and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Chong Tang , Hao Dai , Jagmohan Chauhan