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We study a nonlinear decomposition of a positive definite matrix into two components: the inverse of another positive definite matrix and a symmetric matrix constrained to lie in a prescribed linear subspace. Equivalently, the inverse…

Optimization and Control · Mathematics 2026-01-27 Yan Dolinsky , Or Zuk

Recent facial image synthesis methods have been mainly based on conditional generative models. Sketch-based conditions can effectively describe the geometry of faces, including the contours of facial components, hair structures, as well as…

Graphics · Computer Science 2021-07-20 Shu-Yu Chen , Feng-Lin Liu , Yu-Kun Lai , Paul L. Rosin , Chunpeng Li , Hongbo Fu , Lin Gao

Transformers can generate predictions in two approaches: 1. auto-regressively by conditioning each sequence element on the previous ones, or 2. directly produce an output sequences in parallel. While research has mostly explored upon this…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Andrea Alfieri , Yancong Lin , Jan C. van Gemert

Computer-Aided Design is ubiquitous in todays world, as almost every manufactured object begins as a digital model across industries. At the same time, advances in 3D sensing have made point clouds a dominant form of raw 3D data. Recovering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Said Harb , Mehdi Maboudi , Markus Gerke

Boundary representation (B-rep) of geometric models is a fundamental format in Computer-Aided Design (CAD). However, automatically generating valid and high-quality B-rep models remains challenging due to the complex interdependence between…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jing Li , Yihang Fu , Falai Chen

The concept of cutting is first explicitly introduced. By the concept, a convex expansion for finite distributive lattices is considered. Thus, a more general method for drawing the Hasse diagram is given, and the rank generating function…

Combinatorics · Mathematics 2019-08-30 Xu Wang , Xuxu Zhao , Haiyuan Yao

We develop a novel deep contour detection algorithm with a top-down fully convolutional encoder-decoder network. Our proposed method, named TD-CEDN, solves two important issues in this low-level vision problem: (1) learning multi-scale and…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Yahui Liu , Jian Yao , Li Li , Xiaohu Lu , Jing Han

In the deep metric learning approach to image segmentation, a convolutional net densely generates feature vectors at the pixels of an image. Pairs of feature vectors are trained to be similar or different, depending on whether the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-04 Kyle Luther , H. Sebastian Seung

We show that any polyhedron forming a topological ball with an even number of quadrilateral sides can be partitioned into O(n) topological cubes, meeting face to face. The result generalizes to non-simply-connected polyhedra satisfying an…

Computational Geometry · Computer Science 2010-01-21 David Eppstein

Pruning effectively compresses overparameterized models. Despite the success of pruning methods for discriminative models, applying them for generative models has been relatively rarely approached. This study conducts structured pruning on…

Machine Learning · Computer Science 2022-06-30 Bo-Kyeong Kim , Shinkook Choi , Hancheol Park

We propose general separation procedures for generating cuts for the stable set polytope, inspired by a procedure by Rossi and Smriglio and applying a lifting method by Xavier and Camp\^{e}lo. In contrast to existing cut-generating…

Discrete Mathematics · Computer Science 2017-12-29 Ricardo C. Corrêa , Diego Delle Donne , Ivo Koch , Javier Marenco

Decision trees are popular Classification and Regression tools and, when small-sized, easy to interpret. Traditionally, a greedy approach has been used to build the trees, yielding a very fast training process; however, controlling sparsity…

Optimization and Control · Mathematics 2020-02-24 Rafael Blanquero , Emilio Carrizosa , Cristina Molero-Río , Dolores Romero Morales

We propose alternatives to Bayesian a priori distributions that are frequently used in the study of inverse problems. Our aim is to construct priors that have similar good edge-preserving properties as total variation or Mumford-Shah priors…

Statistics Theory · Mathematics 2021-03-02 Hanne Kekkonen , Matti Lassas , Eero Saksman , Samuli Siltanen

Over the past few years, single-view 3D face reconstruction methods can produce beautiful 3D models. Nevertheless,the input of these works is unobstructed faces.We describe a system designed to reconstruct convincing face texture in the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Dapeng Zhao , Yue Qi

We introduce a new procedure to select the optimal cutoff parameter for Fourier density estimators that leads to adaptive rate optimal estimators, up to a logarithmic factor. This adaptive procedure applies for different inverse problems.…

Statistics Theory · Mathematics 2018-02-15 Céline Duval , Johanna Kappus

We propose a novel method to generate a small set of ruled surfaces that do not collide with the input shape for linear hot-wire rough machining. Central to our technique is a new observation: the ruled surfaces constructed by vertical…

Computational Geometry · Computer Science 2025-09-03 Zheng Zhang , Kang Wu , Yi-Fei Li , Xu Liu , Xiang Wang , Ligang Liu , Xiao-Ming Fu

In computer-aided design (CAD), the ability to "reverse engineer" the modeling steps used to create 3D shapes is a long-sought-after goal. This process can be decomposed into two sub-problems: converting an input mesh or point cloud into a…

Computational Geometry · Computer Science 2021-04-22 Xianghao Xu , Wenzhe Peng , Chin-Yi Cheng , Karl D. D. Willis , Daniel Ritchie

Wide-angle lens distortion in portrait photography presents a significant challenge for capturing photo-realistic and aesthetically pleasing images. Such distortions are especially noticeable in facial regions. In this work, we propose…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Lan Yao , Chaofeng Chen , Xiaoming Li , Zifei Yan , Wangmeng Zuo

In this paper we consider a general problem set-up for a wide class of convex and robust distributed optimization problems in peer-to-peer networks. In this set-up convex constraint sets are distributed to the network processors who have to…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Giuseppe Notarstefano , Frank Allgöwer

Automatic synthesis of high quality 3D shapes is an ongoing and challenging area of research. While several data-driven methods have been proposed that make use of neural networks to generate 3D shapes, none of them reach the level of…

Computer Vision and Pattern Recognition · Computer Science 2019-06-28 Isaak Lim , Moritz Ibing , Leif Kobbelt