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Pregel's vertex-centric model allows us to implement many interesting graph algorithms, where optimization plays an important role in making it practically useful. Although many optimizations have been developed for dealing with different…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Yongzhe Zhang , Zhenjiang Hu

In this paper, we propose a new Fully Composite Formulation of convex optimization problems. It includes, as a particular case, the problems with functional constraints, max-type minimization problems, and problems of Composite…

Optimization and Control · Mathematics 2021-03-24 Nikita Doikov , Yurii Nesterov

This paper analyzes two eXtended finite element methods (XFEMs) for linear quadratic optimal control problems governed by Poisson equation in non-convex domains. We follow the variational discretization concept to discretize the continuous…

Numerical Analysis · Mathematics 2018-08-06 Tao Wang , Chao Chao Yang , Xiaoping Xie

We present a methodical procedure for topology optimization under uncertainty with multi-resolution finite element models. We use our framework in a bi-fidelity setting where a coarse and a fine mesh corresponding to low- and…

Numerical Analysis · Computer Science 2019-04-08 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Vision language models (VLMs) have achieved impressive performance across a variety of computer vision tasks. However, the multimodal reasoning capability has not been fully explored in existing models. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Xintong Zhang , Zhi Gao , Bofei Zhang , Pengxiang Li , Xiaowen Zhang , Yang Liu , Tao Yuan , Yuwei Wu , Yunde Jia , Song-Chun Zhu , Qing Li

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

Optimization and Control · Mathematics 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

Approximate convex decomposition aims to decompose a 3D shape into a set of almost convex components, whose convex hulls can then be used to represent the input shape. It thus enables efficient geometry processing algorithms specifically…

Graphics · Computer Science 2022-05-09 Xinyue Wei , Minghua Liu , Zhan Ling , Hao Su

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. In this work we show how shape constraints such as convexity/concavity and their extensions, can be integrated into additive…

Machine Learning · Computer Science 2017-05-03 Junming Yin , Yaoliang Yu

Convex regression is a promising area for bridging statistical estimation and deterministic convex optimization. New piecewise linear convex regression methods are fast and scalable, but can have instability when used to approximate…

Machine Learning · Computer Science 2012-06-22 Lauren Hannah , David Dunson

Visual-Semantic Embedding (VSE) aims to learn an embedding space where related visual and semantic instances are close to each other. Recent VSE models tend to design complex structures to pool visual and semantic features into fixed-length…

Multimedia · Computer Science 2022-10-06 Zijian Zhang , Chang Shu , Ya Xiao , Yuan Shen , Di Zhu , Jing Xiao , Youxin Chen , Jey Han Lau , Qian Zhang , Zheng Lu

Vehicle-to-everything (V2X) cooperation has emerged as a promising paradigm to overcome the perception limitations of classical autonomous driving by leveraging information from both ego-vehicle and infrastructure sensors. However,…

Robotics · Computer Science 2025-06-23 Junwei You , Haotian Shi , Zhuoyu Jiang , Zilin Huang , Rui Gan , Keshu Wu , Xi Cheng , Xiaopeng Li , Bin Ran

This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular…

Numerical Analysis · Mathematics 2026-01-14 Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

Systems and Control · Electrical Eng. & Systems 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

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…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

Trajectory planning is crucial for the safe driving of autonomous vehicles in highway traffic flow. Currently, some advanced trajectory planning methods utilize spatio-temporal voxels to construct feasible regions and then convert…

Robotics · Computer Science 2023-10-05 Zhiqiang Jian , Songyi Zhang , Lingfeng Sun , Wei Zhan , Masayoshi Tomizuka , Nanning Zheng

Although large-scale visual foundation models (VFMs) achieve remarkable performance in semantic understanding, they still underperform in instance-aware dense prediction tasks. They exhibit different biases in representation: for instance,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Yachan Guo , JoseLuis Gomez Zurita , Danna Xue , Yi Xiao , AntonioManuel Lopez Pena

Parametric computer-aided design (CAD) is a standard paradigm used to design manufactured objects, where a 3D shape is represented as a program supported by the CAD software. Despite the pervasiveness of parametric CAD and a growing…

Machine Learning · Computer Science 2021-05-18 Karl D. D. Willis , Yewen Pu , Jieliang Luo , Hang Chu , Tao Du , Joseph G. Lambourne , Armando Solar-Lezama , Wojciech Matusik

Virtual content creation and interaction play an important role in modern 3D applications such as AR and VR. Recovering detailed 3D models from real scenes can significantly expand the scope of its applications and has been studied for…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Hai Li , Xingrui Yang , Hongjia Zhai , Yuqian Liu , Hujun Bao , Guofeng Zhang

We propose VIAFormer, a Voxel-Image Alignment Transformer model designed for Multi-view Conditioned Voxel Refinement--the task of repairing incomplete noisy voxels using calibrated multi-view images as guidance. Its effectiveness stems from…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Tiancheng Fang , Bowen Pan , Lingxi Chen , Jiangjing Lyu , Chengfei Lyu , Chaoyue Niu , Fan Wu

We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An unfitted finite element method which is…

Numerical Analysis · Mathematics 2015-12-10 Christoph Lehrenfeld