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We introduce a primal-dual stochastic gradient oracle method for distributed convex optimization problems over networks. We show that the proposed method is optimal in terms of communication steps. Additionally, we propose a new analysis…

最优化与控制 · 数学 2019-11-28 Darina Dvinskikh , Eduard Gorbunov , Alexander Gasnikov , Pavel Dvurechensky , Cesar A. Uribe

Level-set methods for convex optimization are predicated on the idea that certain problems can be parameterized so that their solutions can be recovered as the limiting process of a root-finding procedure. This idea emerges time and again…

最优化与控制 · 数学 2020-05-19 Ron Estrin , Michael P. Friedlander

Three-dimensional wind retrievals from ground-based Doppler radars have played an important role in meteorological research and nowcasting over the past four decades. However, in recent years, the proliferation of open-source software and…

大气与海洋物理 · 物理学 2023-11-29 Jordan P. Brook , Alain Protat , Corey K. Potvin , Joshua S. Soderholm , Hamish McGowan

We propose and study a novel stochastic inertial primal-dual approach to solve composite optimization problems. These latter problems arise naturally when learning with penalized regularization schemes. Our analysis provide convergence…

最优化与控制 · 数学 2015-07-06 Lorenzo Rosasco , Silvia Villa , Bang Cong Vu

We address the problem of reconstructing X-Ray tomographic images from scarce measurements by interpolating missing acquisitions using a self-supervised approach. To do so, we train shallow neural networks to combine two neighbouring…

图像与视频处理 · 电气工程与系统科学 2022-05-18 Emilien Valat , Katayoun Farrahi , Thomas Blumensath

We present FLINT (learning-based FLow estimation and temporal INTerpolation), a novel deep learning-based approach to estimate flow fields for 2D+time and 3D+time scientific ensemble data. FLINT can flexibly handle different types of…

计算机视觉与模式识别 · 计算机科学 2025-02-24 Hamid Gadirov , Jos B. T. M. Roerdink , Steffen Frey

In a previous work \citep{luo2016sparse2d_spej}, the authors proposed an ensemble-based 4D seismic history matching (SHM) framework, which has some relatively new ingredients, in terms of the type of seismic data in choice, the way to…

数据分析、统计与概率 · 物理学 2018-03-13 Xiaodong Luo , Tuhin Bhakta , Morten Jakobsen , Geir Nævdal

Dense 3D convolutions provide high accuracy for perception but are too computationally expensive for real-time robotic systems. Existing tri-plane methods rely on 2D image features with interpolation, point-wise queries, and implicit MLPs,…

机器人学 · 计算机科学 2025-09-19 Sibaek Lee , Jiung Yeon , Hyeonwoo Yu

In this paper we propose a randomized primal-dual proximal block coordinate updating framework for a general multi-block convex optimization model with coupled objective function and linear constraints. Assuming mere convexity, we establish…

最优化与控制 · 数学 2017-01-25 Xiang Gao , Yangyang Xu , Shuzhong Zhang

In this paper, we develop a new asymmetric framework for solving primal-dual problems of Conic Optimization by Interior-Point Methods (IPMs). It allows development of efficient methods for problems, where the dual formulation is simpler…

最优化与控制 · 数学 2025-03-14 Yurii Nesterov

The advancement of sensing technology has driven the widespread application of high-dimensional data. However, issues such as missing entries during acquisition and transmission negatively impact the accuracy of subsequent tasks. Tensor…

图像与视频处理 · 电气工程与系统科学 2025-04-09 Jie Yang , Chang Su , Yuhan Zhang , Jianjun Zhu , Jianli Wang

Best subset selection is considered the `gold standard' for many sparse learning problems. A variety of optimization techniques have been proposed to attack this non-smooth non-convex problem. In this paper, we investigate the dual forms of…

机器学习 · 计算机科学 2024-12-31 Shaogang Ren , Xiaoning Qian

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

数据库 · 计算机科学 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

Frame interpolation attempts to synthesise frames given one or more consecutive video frames. In recent years, deep learning approaches, and notably convolutional neural networks, have succeeded at tackling low- and high-level computer…

计算机视觉与模式识别 · 计算机科学 2019-02-27 Joost van Amersfoort , Wenzhe Shi , Alejandro Acosta , Francisco Massa , Johannes Totz , Zehan Wang , Jose Caballero

In this paper, we propose an inertial accelerated primal-dual method for the linear equality constrained convex optimization problem. When the objective function has a ``nonsmooth + smooth'' composite structure, we further propose an…

最优化与控制 · 数学 2021-06-30 Xin He , Rong Hu , Ya-Ping Fang

Existing artificial compression based reinitialization scheme for conservative level set method has a few drawbacks, like distortion of fluid-fluid interface, unphysical patch formation away from the interface and lack of mass conservation.…

计算物理 · 物理学 2024-02-09 S. Parameswaran , J. C. Mandal

Data assimilation addresses the problem of identifying plausible state trajectories of dynamical systems given noisy or incomplete observations. In geosciences, it presents challenges due to the high-dimensionality of geophysical dynamical…

机器学习 · 统计学 2023-11-03 François Rozet , Gilles Louppe

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

动力系统 · 数学 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

In this paper, we propose a novel Dual Inexact Splitting Algorithm (DISA) for distributed convex composite optimization problems, where the local loss function consists of a smooth term and a possibly nonsmooth term composed with a linear…

最优化与控制 · 数学 2023-04-25 Luyao Guo , Xinli Shi , Shaofu Yang , Jinde Cao