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Recent object detection systems rely on two critical steps: (1) a set of object proposals is predicted as efficiently as possible, and (2) this set of candidate proposals is then passed to an object classifier. Such approaches have been…

Computer Vision and Pattern Recognition · Computer Science 2015-09-02 Pedro O. Pinheiro , Ronan Collobert , Piotr Dollar

Most state of the art deep neural networks are overparameterized and exhibit a high computational cost. A straightforward approach to this problem is to replace convolutional kernels with its low-rank tensor approximations, whereas the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Anh-Huy Phan , Konstantin Sobolev , Konstantin Sozykin , Dmitry Ermilov , Julia Gusak , Petr Tichavsky , Valeriy Glukhov , Ivan Oseledets , Andrzej Cichocki

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain which is a union of manifolds of different dimensions such that a $d$ dimensional component always resides on the boundary of a $d+1$…

Numerical Analysis · Mathematics 2019-02-05 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

Convolutional neural networks are prevailing in deep learning tasks. However, they suffer from massive cost issues when working on mobile devices. Network pruning is an effective method of model compression to handle such problems. This…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhaofeng Si , Honggang Qi , Xiaoyu Song

We study a cutting-plane method for semidefinite optimization problems (SDOs), and supply a proof of the method's convergence, under a boundedness assumption. By relating the method's rate of convergence to an initial outer approximation's…

Optimization and Control · Mathematics 2020-02-17 Dimitris Bertsimas , Ryan Cory-Wright

This paper introduces cutting planes that involve minimal structural assumptions, enabling the generation of strong polyhedral relaxations for a broad class of problems. We consider valid inequalities for the set $S\cap P$, where $S$ is a…

Optimization and Control · Mathematics 2020-02-03 Daniel Bienstock , Chen Chen , Gonzalo Muñoz

We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons with curved edges. In the second part of the paper we…

Numerical Analysis · Mathematics 2023-05-15 Franco Brezzi , L. Donatella Marini

Relaxation and rounding approaches became a standard and extremely versatile tool for constrained submodular function maximization. One of the most common rounding techniques in this context are contention resolution schemes. Such schemes…

Data Structures and Algorithms · Computer Science 2019-05-22 Simon Bruggmann , Rico Zenklusen

Computing offsets of curves on parametric surfaces is a fundamental yet challenging operation in computer aided design and manufacturing. Traditional analytical approaches suffer from time-consuming geodesic distance queries and complex…

Computational Geometry · Computer Science 2025-09-12 Jin Zhao , Pengfei Wang , Shuangmin Chen , Jiong Guo , Shiqing Xin , Changhe Tu , Wenping Wang

Hyperspectral imaging systems collect and process information from specific wavelengths across the electromagnetic spectrum. The fusion of multi-spectral bands in the visible spectrum has been exploited to improve face recognition…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Fariborz Taherkhani , Jeremy Dawson , Nasser M. Nasrabadi

We describe a recursive algorithm that decomposes an algebraic set into locally closed equidimensional sets, i.e. sets which each have irreducible components of the same dimension. At the core of this algorithm, we combine ideas from the…

Symbolic Computation · Computer Science 2023-06-12 Christian Eder , Pierre Lairez , Rafael Mohr , Mohab Safey El Din

We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally…

Differential Geometry · Mathematics 2007-05-23 N. Blazic , P. Gilkey , S. Nikcevic , U. Simon

We use CNNs to build a system that both classifies images of faces based on a variety of different facial attributes and generates new faces given a set of desired facial characteristics. After introducing the problem and providing context…

Computer Vision and Pattern Recognition · Computer Science 2017-01-10 Hardie Cate , Fahim Dalvi , Zeshan Hussain

This paper introduces a novel method for reconstructing meshes from sparse point clouds by predicting edge connection. Existing implicit methods usually produce superior smooth and watertight meshes due to the isosurface extraction…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Weimin Wang , Yingxu Deng , Zezeng Li , Yu Liu , Na Lei

We present an algorithm for approximately solving bounded convex vector optimization problems. The algorithm provides both an outer and an inner polyhedral approximation of the upper image. It is a modification of the primal algorithm…

Optimization and Control · Mathematics 2024-01-26 Daniel Dörfler , Andreas Löhne , Christopher Schneider , Benjamin Weißing

Sketch-based face recognition is an interesting task in vision and multimedia research, yet it is quite challenging due to the great difference between face photos and sketches. In this paper, we propose a novel approach for photo-sketch…

Computer Vision and Pattern Recognition · Computer Science 2015-04-14 Liliang Zhang , Liang Lin , Xian Wu , Shengyong Ding , Lei Zhang

We study a combinatorial notion where given a set of lattice points one takes the set of all sums of subsets of a fixed size, and we ask if the given set comes from a convex lattice polytope whether the resulting set also comes from a…

Combinatorics · Mathematics 2021-08-03 Alexander Lemmens

In the context of scene understanding, a variety of methods exists to estimate different information channels from mono or stereo images, including disparity, depth, and normals. Although several advances have been reported in the recent…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Paul Guerrero , Holger Winnemöller , Wilmot Li , Niloy J. Mitra