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In this work, we propose a high-order multiscale method for an elliptic model problem with rough and possibly highly oscillatory coefficients. Convergence rates of higher order are obtained using the regularity of the right-hand side only.…

数值分析 · 数学 2023-04-18 Zhaonan Dong , Moritz Hauck , Roland Maier

Approaching the 1.5329-dB shaping (granular) gain limit in mean-squared error (MSE) quantization of R^n is important in a number of problems, notably dirty-paper coding. For this purpose, we start with a binary low-density generator-matrix…

信息论 · 计算机科学 2008-01-17 Qingchuan Wang , Chen He

Three-Dimensional Gaussian Splatting (3DGS) has shown substantial promise in the field of computer vision, but remains unexplored in the field of magnetic resonance imaging (MRI). This study explores its potential for the reconstruction of…

图像与视频处理 · 电气工程与系统科学 2026-03-18 Tengya Peng , Ruyi Zha , Zhen Li , Xiaofeng Liu , Qing Zou

This article describes a novel optimization solution framework, called alternating gradient descent (GD) and minimization (AltGDmin), that is useful for many problems for which alternating minimization (AltMin) is a popular solution. AltMin…

机器学习 · 计算机科学 2025-04-22 Namrata Vaswani

A new achievability scheme for the compound channel with discrete memoryless (DM) state noncausally available at the encoder is established. Achievability is proved using superposition coding, Marton coding, joint typicality encoding, and…

信息论 · 计算机科学 2010-04-26 Chandra Nair , Abbas El Gamal , Yeow-Khiang Chia

Motivated by the broadcast view of the interference channel, the new problem of communication with disturbance constraints is formulated. The rate-disturbance region is established for the single constraint case and the optimal encoding…

信息论 · 计算机科学 2011-11-09 Bernd Bandemer , Abbas El Gamal

In this paper, we present a multilevel Monte Carlo (MLMC) version of the Stochastic Gradient (SG) method for optimization under uncertainty, in order to tackle Optimal Control Problems (OCP) where the constraints are described in the form…

最优化与控制 · 数学 2019-12-30 Matthieu Martin , Fabio Nobile , Panagiotis Tsilifis

3D Gaussian Splatting (3DGS) has become an emerging technique with remarkable potential in 3D representation and image rendering. However, the substantial storage overhead of 3DGS significantly impedes its practical applications. In this…

计算机视觉与模式识别 · 计算机科学 2024-10-22 Henan Wang , Hanxin Zhu , Tianyu He , Runsen Feng , Jiajun Deng , Jiang Bian , Zhibo Chen

A general time-varying feedback coding scheme is proposed for $M$-user fully connected symmetric Gaussian interference channels. Based on the analysis of the general coding scheme, we prove a theorem which gives a criterion for designing…

信息论 · 计算机科学 2019-10-01 Lan V. Truong , Hirosuke Yamamoto

We introduce the Multiple Quantile Graphical Model (MQGM), which extends the neighborhood selection approach of Meinshausen and Buhlmann for learning sparse graphical models. The latter is defined by the basic subproblem of modeling the…

统计方法学 · 统计学 2016-10-31 Alnur Ali , J. Zico Kolter , Ryan J. Tibshirani

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

最优化与控制 · 数学 2025-08-26 Pengfei Liu

Downlink precoding is considered for multi-path multi-input single-output channels where the base station uses orthogonal frequency-division multiplexing and low-resolution signaling. A quantized coordinate minimization (QCM) algorithm is…

信息论 · 计算机科学 2022-08-30 Andrei Stefan Nedelcu , Fabian Steiner , Gerhard Kramer

In this paper, we develop achievability schemes for symmetric $K$-user interference channels with a rate-limited feedback from each receiver to the corresponding transmitter. We study this problem under two different channel models: the…

信息论 · 计算机科学 2017-08-04 Mehdi Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

In the automatic reassembly of fragments acquired using laser scanners to reconstruct objects, a crucial step is the matching of fractured surfaces. In this paper, we propose a novel local descriptor that uses the Gaussian Mixture Model…

计算机视觉与模式识别 · 计算机科学 2026-04-24 Meijun Xiong , Zhenguo Shi , Xinyu Zhou , Yuhe Zhang , Shunli Zhang

A new way of orthogonalizing ensembles of vectors by "lifting" them to higher dimensions is introduced. This method can potentially be utilized for solving quantum decision and computing problems.

量子物理 · 物理学 2024-02-02 Hans Havlicek , Karl Svozil

We establish area theorems for iterative detection over coded linear systems (including multiple-input multipleoutput (MIMO) channels, inter-symbol-interference (ISI) channels, and orthogonal frequency-division multiplexing (OFDM) systems).…

信息论 · 计算机科学 2012-08-24 Xiaojun Yuan , Li Ping , Chongbin Xu , Aleksandar Kavcic

Multi-label learning studies the problem where an instance is associated with a set of labels. By treating single-label learning problem as one task, the multi-label learning problem can be casted as solving multiple related tasks…

机器学习 · 计算机科学 2019-11-20 Lu Bai , Yew-Soon Ong , Tiantian He , Abhishek Gupta

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

最优化与控制 · 数学 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

人工智能 · 计算机科学 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

Existing Unbiased Scene Graph Generation (USGG) methods only focus on addressing the predicate-level imbalance that high-frequency classes dominate predictions of rare ones, while overlooking the concept-level imbalance. Actually, even if…

计算机视觉与模式识别 · 计算机科学 2024-07-17 Xinyu Lyu , Lianli Gao , Junlin Xie , Pengpeng Zeng , Yulu Tian , Jie Shao , Heng Tao Shen