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Sharpness is an almost generic assumption in continuous optimization that bounds the distance from minima by objective function suboptimality. It facilitates the acceleration of first-order methods through restarts. However, sharpness…

Optimization and Control · Mathematics 2024-07-24 Ben Adcock , Matthew J. Colbrook , Maksym Neyra-Nesterenko

As computational astrophysics comes under pressure to become a precision science, there is an increasing need to move to high accuracy schemes for computational astrophysics. Hence the need for a specialized review on higher order schemes…

Instrumentation and Methods for Astrophysics · Physics 2017-03-06 Dinshaw S. Balsara

Accurate channel estimation is critical to the performance of orthogonal frequency-division multiplexing (OFDM) underwater acoustic (UWA) communications, especially under multiple-input multiple-output (MIMO) scenarios. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Wenxuan Chen , Jun Tao , Lu Ma , Gang Qiao

Coarsened exact matching (CEM) is often promoted as a superior alternative to propensity score matching (PSM) for addressing imbalance, model dependence, bias, and efficiency. However, this recommendation remains uncertain. First, CEM is…

Methodology · Statistics 2026-02-03 Fei Wan

We investigate the optimal rate of convergence in the multidimensional normal approximation of vector-valued Wiener-Ito integrals of which components all belong to the same fixed Wiener chaos. Combining Malliavin calculus, Stein's method…

Probability · Mathematics 2023-03-07 Huiping Chen

Approximate Nearest-Neighbor Search (ANNS) efficiently finds data items whose embeddings are close to that of a given query in a high-dimensional space, aiming to balance accuracy with speed. Used in recommendation systems, image and video…

Machine Learning · Computer Science 2025-10-27 Vansh Ramani , Alexis Schlomer , Akash Nayar , Sayan Ranu , Jignesh M. Patel , Panagiotis Karras

Achieving weighted throughput maximization (WTM) through power control has been a long standing open problem in interference-limited wireless networks. The complicated coupling between the mutual interferences of links gives rise to a…

Networking and Internet Architecture · Computer Science 2008-06-10 Liping Qian , Ying Jun Zhang , Jianwei Huang

Precoding design based on weighted sum-rate (WSR) maximization is a fundamental problem in downlink multi-user multiple-input multiple-output (MU-MIMO) systems. While the weighted minimum mean-square error (WMMSE) algorithm is a standard…

Signal Processing · Electrical Eng. & Systems 2025-10-24 Xi Gao , Akang Wang , Junkai Zhang , Qihong Duan , Jiang Xue

In this paper we present a new family of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of conservative and non-conservative hyperbolic partial…

Numerical Analysis · Mathematics 2015-06-18 Walter Boscheri , Michael Dumbser

Magnetic Resonance Imaging can produce detailed images of the anatomy and physiology of the human body that can assist doctors in diagnosing and treating pathologies such as tumours. However, MRI suffers from very long acquisition times…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 George Yiasemis , Jan-Jakob Sonke , Clarisa Sánchez , Jonas Teuwen

We have developed a new computer code, RAM, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

Astrophysics · Physics 2009-11-11 Weiqun Zhang , Andrew I. MacFadyen

A new maximum likelihood estimation approach for blind channel equalization, using variational autoencoders (VAEs), is introduced. Significant and consistent improvements in the error rate of the reconstructed symbols, compared to constant…

Signal Processing · Electrical Eng. & Systems 2018-03-06 Avi Caciularu , David Burshtein

In this work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro part, a splitting between the transport and the collision part…

Numerical Analysis · Mathematics 2017-01-19 Anaïs Crestetto , Nicolas Crouseilles , Mohammed Lemou

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

Optimization and Control · Mathematics 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

We will introduce Euler-Maruyama approximations given by an orthogonal system in $L^{2}[0,1]$ for high dimensional SDEs, which could be finite dimensional approximations of SPDEs. In general, the higher the dimension is, the more one needs…

Probability · Mathematics 2021-04-06 Jirô Akahori , Masahiro Kinuya , Takashi Sawai , Tomooki Yuasa

Weight pruning is an effective model compression technique to tackle the challenges of achieving real-time deep neural network (DNN) inference on mobile devices. However, prior pruning schemes have limited application scenarios due to…

Machine Learning · Computer Science 2022-03-29 Yifan Gong , Geng Yuan , Zheng Zhan , Wei Niu , Zhengang Li , Pu Zhao , Yuxuan Cai , Sijia Liu , Bin Ren , Xue Lin , Xulong Tang , Yanzhi Wang

This paper presents a fully multidimensional kernel-based reconstruction scheme for finite volume methods applied to systems of hyperbolic conservation laws, with a particular emphasis on the compressible Euler equations. Non-oscillatory…

Numerical Analysis · Mathematics 2024-01-31 Ian C. T. May , Dongwook Lee

A core challenge in the interpretation of deep neural networks is identifying commonalities between the underlying algorithms implemented by distinct networks trained for the same task. Motivated by this problem, we introduce DYNAMO, an…

Machine Learning · Computer Science 2023-03-01 Jordan Cotler , Kai Sheng Tai , Felipe Hernández , Blake Elias , David Sussillo

We present a WENO-TVD scheme for the simulation of atmospheric phenomena. The scheme considers a spatial discretization via a second-order TVD flux based upon a flux-centered limiter approach, which makes use of high-order accurate…

Numerical Analysis · Mathematics 2011-11-09 Dante Kalise

We examine directed spanners through flow-based linear programming relaxations. We design an $\~O(n^{2/3})$-approximation algorithm for the directed $k$-spanner problem that works for all $k\geq 1$, which is the first sublinear…

Data Structures and Algorithms · Computer Science 2010-11-23 Michael Dinitz , Robert Krauthgamer