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We characterize the rate-distortion function for zero-mean stationary Gaussian sources under the MSE fidelity criterion and subject to the additional constraint that the distortion is uncorrelated to the input. The solution is given by two…

信息论 · 计算机科学 2008-01-14 Milan S. Derpich , Jan Ostergaard , Graham C. Goodwin

Spectral gradient descent (SpecGD) orthogonalizes the matrix parameter updates and has inspired practical optimizers such as Muon. They often perform well in large language model (LLM) training, but their dynamics remain poorly understood.…

机器学习 · 计算机科学 2026-02-09 Changmin Kang , Jihun Yun , Baekrok Shin , Yeseul Cho , Chulhee Yun

Dynamic graph signal processing provides a principled framework for analyzing time-varying data defined on irregular graph domains. However, existing joint time-vertex transforms such as the joint time-vertex fractional Fourier transform…

信号处理 · 电气工程与系统科学 2025-11-21 Manjun Cui , Ziqi Yan , Yangfan He , Zhichao Zhang

This paper addresses the color image completion problem in accordance with low-rank quatenrion matrix optimization that is characterized by sparse regularization in a transformed domain. This research was inspired by an appreciation of the…

计算机视觉与模式识别 · 计算机科学 2022-04-20 Liqiao Yang , Yang Liu , Kit Ian Kou

We study selected meson transition processes and associated form factors within a model of QCD based on the Dyson--Schwinger equations truncated to ladder-rainbow level. The infrared structure of the ladder-rainbow kernel is described by…

核理论 · 物理学 2009-11-07 P. Maris , P. C. Tandy

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

We present a fully self-consistent combined GW and dynamical mean field (GW+DMFT) study of the spectral properties of the extended two-dimensional Hubbard model. The inclusion of the local dynamical vertex stemming from the DMFT self-energy…

强关联电子 · 物理学 2013-01-22 Thomas Ayral , Philipp Werner , Silke Biermann

This letter is devoted to point out a specific character of the Finite-Difference-Time-Domain method through the study of nano-structures supporting geometrical symmetry-protected modes that can not be excited at certain conditions of…

光学 · 物理学 2020-10-02 A. Hoblos , M. Suarez , B. Guichardaz , N. Courjal , M. -P. Bernal , F. I. Baida

Rendering dynamic reverberation in a complicated acoustic space for moving sources and listeners is challenging but crucial for enhancing user immersion in extended-reality (XR) applications. Capturing spatially varying room impulse…

音频与语音处理 · 电气工程与系统科学 2026-02-10 Orchisama Das , Gloria Dal Santo , Sebastian J. Schlecht , Vesa Valimaki , Zoran Cvetkovic

In our previous study (N. Tsutsumi, K. Nakai and Y. Saiki (2022)) we proposed a method of constructing a system of differential equations of chaotic behavior only from observable deterministic time series, which we will call radial…

动力系统 · 数学 2023-08-25 Natsuki Tsutsumi , Kengo Nakai , Yoshitaka Saiki

In this work, we address specular appearance in inverse rendering using 2D Gaussian splatting with deferred shading and argue for a refinement stage to improve specular detail, thereby bridging the gap with reconstruction-only methods. Our…

计算机视觉与模式识别 · 计算机科学 2025-12-10 Georgios Kouros , Minye Wu , Tinne Tuytelaars

Randomized neural networks (RNN) are a variation of neural networks in which the hidden-layer parameters are fixed to randomly assigned values and the output-layer parameters are obtained by solving a linear system by least squares. This…

数值分析 · 数学 2022-06-14 Jingbo Sun , Suchuan Dong , Fei Wang

The purpose of this work is to describe in detail the development of the Spectral Difference Raviart-Thomas (SDRT) formulation for two and three-dimensional tensor-product elements and simplexes. Through the process, the authors establish…

数值分析 · 数学 2021-05-19 Gonzalo Sáez-Mischlich , Javier Sierra-Ausín , Jérémie Gressier

We apply a random matrix model to the study of the phase diagram of QCD with two colors, two flavors, and a small quark mass. Although the effects of temperature are only included schematically, this model reproduces most of the ground…

高能物理 - 唯象学 · 物理学 2016-09-06 Benoit Vanderheyden , A. D. Jackson

We construct the six dimensional Quantum Chromodynamics (QCD) Lagrangian in a linear covariant gauge and subsequently renormalize it at two loops in the MSbar scheme. The coupling constant corresponding to the gauge interaction is…

高能物理 - 理论 · 物理学 2016-02-17 J. A. Gracey

The duality symmetry of the Hamiltonian and integrals of motion for Reggeon interactions in multicolour QCD is formulated as an integral equation for the wave function of compound states of $n$ reggeized gluons. In particular the Odderon…

高能物理 - 唯象学 · 物理学 2009-10-31 L. N. Lipatov

Consistency Guided Scene Flow Estimation (CGSF) is a self-supervised framework for the joint reconstruction of 3D scene structure and motion from stereo video. The model takes two temporal stereo pairs as input, and predicts disparity and…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Yuhua Chen , Luc Van Gool , Cordelia Schmid , Cristian Sminchisescu

We propose a neural regularization method that refines the noisy 3D semantic field produced by lifting multi-view inconsistent 2D features, in order to obtain an accurate and robust 3D semantic Gaussian Splatting. The 2D features extracted…

计算机视觉与模式识别 · 计算机科学 2026-04-27 Zaiyan Yang , Xinpeng Liu , Heng Guo , Jinglei Shi , Zhanyu Ma , Fumio Okura

Graph fractional Fourier transform (GFRFT) is an extension of graph Fourier transform (GFT) that provides an additional fractional analysis tool for graph signal processing (GSP) by generalizing temporal-vertex domain Fourier analysis to…

信号处理 · 电气工程与系统科学 2025-06-05 Lu Li , Haiye Huo

Efficient time integration schemes are necessary to capture the complex processes involved in atmospheric flows over long periods of time. In this work, we propose a high-order, implicit-explicit numerical scheme that combines Multi-Level…

数值分析 · 数学 2018-10-22 Francois Hamon , Martin Schreiber , Michael Minion