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Friedlander, Mac\^{e}do, and Pong recently introduced the projected polar proximal point algorithm (P4A) for solving optimization problems by using the closed perspective transforms of convex objectives. We analyse a generalization (GP4A)…

最优化与控制 · 数学 2022-01-25 Scott B. Lindstrom

This paper explores the distance-based relative state estimation problem in large-scale systems, which is hard to solve effectively due to its high-dimensionality and non-convexity. In this paper, we alleviate this inherent hardness to…

机器人学 · 计算机科学 2024-06-03 Tianyue Wu , Gongye Zaitian , Qianhao Wang , Fei Gao

In this paper, we consider a class of convex programming problems with linear equality constraints, which finds broad applications in machine learning and signal processing. We propose a new adaptive balanced augmented Lagrangian (ABAL)…

信号处理 · 电气工程与系统科学 2024-10-22 Jiageng Wu , Bo Jiang , Xinxin Li , Ya-Feng Liu , Jianhua Yuan

Deep visual odometry has demonstrated great advancements by learning-to-optimize technology. This approach heavily relies on the visual matching across frames. However, ambiguous matching in challenging scenarios leads to significant errors…

计算机视觉与模式识别 · 计算机科学 2025-04-08 Shuo Wang , Wanting Li , Yongcai Wang , Zhaoxin Fan , Zhe Huang , Xudong Cai , Jian Zhao , Deying Li

Many imaging problems require solving an inverse problem that is ill-conditioned or ill-posed. Imaging methods typically address this difficulty by regularising the estimation problem to make it well-posed. This often requires setting the…

统计方法学 · 统计学 2020-08-17 Ana F. Vidal , Valentin De Bortoli , Marcelo Pereyra , Alain Durmus

We introduce Power Bundle Adjustment as an expansion type algorithm for solving large-scale bundle adjustment problems. It is based on the power series expansion of the inverse Schur complement and constitutes a new family of solvers that…

计算机视觉与模式识别 · 计算机科学 2023-04-18 Simon Weber , Nikolaus Demmel , Tin Chon Chan , Daniel Cremers

The recently emerged movable antenna (MA) shows great promise in leveraging spatial degrees of freedom to enhance the performance of wireless systems. However, resource allocation in MA-aided systems faces challenges due to the nonconvex…

信号处理 · 电气工程与系统科学 2025-03-05 Yichen Jin , Qingfeng Lin , Yang Li , Hancheng Zhu , Bingyang Cheng , Yik-Chung Wu , Rui Zhang

We study the \emph{Proximal Alternating Predictor-Corrector} (PAPC) algorithm introduced recently by Drori, Sabach and Teboulle to solve nonsmooth structured convex-concave saddle point problems consisting of the sum of a smooth convex…

最优化与控制 · 数学 2018-09-24 D. Russell Luke , Ron Shefi

Modern robotics often involves multiple embodied agents operating within a shared environment. Path planning in these cases is considerably more challenging than in single-agent scenarios. Although standard Sampling-based Algorithms (SBAs)…

机器人学 · 计算机科学 2023-04-04 Alessandro Zanardi , Pietro Zullo , Andrea Censi , Emilio Frazzoli

Bundle adjustment is the common way to solve localization and mapping. It is an iterative process in which a system of non-linear equations is solved using two optimization methods, weighted by a damping factor. In the classic approach, the…

计算机视觉与模式识别 · 计算机科学 2023-08-28 Amir Belder , Refael Vivanti , Ayellet Tal

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

计算机视觉与模式识别 · 计算机科学 2013-09-19 Gilles Puy , Pierre Vandergheynst

In imaging modalities recording diffraction data, the original image can be reconstructed assuming known phases. When phases are unknown, oversampling and a constraint on the support region in the original object can be used to solve a…

信号处理 · 电气工程与系统科学 2018-10-17 Alberto Pietrini , Carl Nettelblad

Domain adaptation is an essential task in transfer learning to leverage data in one domain to bolster learning in another domain. In this paper, we present a new semi-supervised manifold alignment technique based on a two-step approach of…

机器学习 · 计算机科学 2020-11-12 Stefan Dernbach , Don Towsley

The implementation of computational sensing strategies often faces calibration problems typically solved by means of multiple, accurately chosen training signals, an approach that can be resource-consuming and cumbersome. Conversely, blind…

信息论 · 计算机科学 2017-02-17 Valerio Cambareri , Laurent Jacques

Current deep learning adaptive optimizer methods adjust the step magnitude of parameter updates by altering the effective learning rate used by each parameter. Motivated by the known inverse relation between batch size and learning rate on…

机器学习 · 计算机科学 2022-08-02 Cristian Simionescu , George Stoica , Robert Herscovici

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

Mamba has attracted widespread interest as a general-purpose sequence model due to its low computational complexity and competitive performance relative to transformers. However, its performance can degrade when inference sequence lengths…

机器学习 · 计算机科学 2026-03-16 Jan Rathjens , Robin Schiewer , Laurenz Wiskott , Anand Subramoney

A problem of bounding the generalization error of a classifier f in H, where H is a "base" class of functions (classifiers), is considered. This problem frequently occurs in computer learning, where efficient algorithms of combining simple…

概率论 · 数学 2007-06-13 Vladimir Koltchinskii , Dmitry Panchenko , Fernando Lozano

This paper presents a proximal bundle variant, namely, the relaxed proximal bundle (RPB) method, for solving convex nonsmooth composite optimization problems. Like other proximal bundle variants, RPB solves a sequence of prox bundle…

最优化与控制 · 数学 2021-06-09 Jiaming Liang , Renato D. C. Monteiro

In this paper, a parametric level set method for reconstruction of obstacles in general inverse problems is considered. General evolution equations for the reconstruction of unknown obstacles are derived in terms of the underlying level set…

偏微分方程分析 · 数学 2011-10-07 Alireza Aghasi , Misha Kilmer , Eric L. Miller