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Inspired by the classical fractional cascading technique, we introduce new techniques to speed up the following type of iterated search in 3D: The input is a graph $\mathbf{G}$ with bounded degree together with a set $H_v$ of 3D hyperplanes…

Computational Geometry · Computer Science 2025-04-11 Peyman Afshani , Yakov Nekrich , Frank Staals

This paper presents an efficient gradient projection-based method for structural topological optimization problems characterized by a nonlinear objective function which is minimized over a feasible region defined by bilateral bounds and a…

Computational Engineering, Finance, and Science · Computer Science 2020-06-16 Zhi Zeng , Fulei Ma

Many optimization problems require hyperparameters, i.e., parameters that must be pre-specified in advance, such as regularization parameters and parametric regularizers in variational regularization methods for inverse problems, and…

Optimization and Control · Mathematics 2025-10-09 Matthias J. Ehrhardt , Silvia Gazzola , Sebastian J. Scott

Supervised approaches to 3D pose estimation from single images are remarkably effective when labeled data is abundant. However, as the acquisition of ground-truth 3D labels is labor intensive and time consuming, recent attention has shifted…

Computer Vision and Pattern Recognition · Computer Science 2022-06-30 Soumava Kumar Roy , Leonardo Citraro , Sina Honari , Pascal Fua

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

Machine Learning · Computer Science 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

We observe that certain large-clique graph triangulations can be useful to reduce both computational and space requirements when making queries on mixed stochastic/deterministic graphical models. We demonstrate that many of these…

Artificial Intelligence · Computer Science 2012-07-02 Chris Bartels , Jeff A. Bilmes

We present and analyze an algorithm for optimizing smooth and convex or strongly convex objectives using minibatch stochastic gradient estimates. The algorithm is optimal with respect to its dependence on both the minibatch size and minimum…

Machine Learning · Computer Science 2021-10-27 Blake Woodworth , Nathan Srebro

Zero-shot learning (ZSL) for image classification focuses on recognizing novel categories that have no labeled data available for training. The learning is generally carried out with the help of mid-level semantic descriptors associated…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Debasmit Das , C. S. George Lee

With the advantage of low storage cost and high efficiency, hashing learning has received much attention in the domain of Big Data. In this paper, we propose a novel unsupervised hashing learning method to cope with this open problem to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Jun Yu , Xiao-Jun Wu

Large-scale pre-trained models have demonstrated impressive performance in vision and language tasks within open-world scenarios. Due to the lack of comparable pre-trained models for 3D shapes, recent methods utilize language-image…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Dan Song , Xinwei Fu , Ning Liu , Weizhi Nie , Wenhui Li , Lanjun Wang , You Yang , Anan Liu

We give a self-contained introduction to the theory of secondary polytopes and geometric bistellar flips in triangulations of polytopes and point sets, as well as a review of some of the known results and connections to algebraic geometry,…

Combinatorics · Mathematics 2007-06-13 Francisco Santos

Multi-view learning accomplishes the task objectives of classification by leverag-ing the relationships between different views of the same object. Most existing methods usually focus on consistency and complementarity between multiple…

Machine Learning · Computer Science 2022-01-14 Jian-wei Liu , Yuan-fang Wang , Run-kun Lu , Xionglin Luo

Zero-shot learning, which aims to recognize new categories that are not included in the training set, has gained popularity owing to its potential ability in the real-word applications. Zero-shot learning models rely on learning an…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Xinsheng Wang , Shanmin Pang , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

One-Shot methods have evolved into one of the most popular methods in Neural Architecture Search (NAS) due to weight sharing and single training of a supernet. However, existing methods generally suffer from two issues: predetermined number…

Machine Learning · Computer Science 2020-03-24 Zan Shen , Jiang Qian , Bojin Zhuang , Shaojun Wang , Jing Xiao

Fringe projection profilometry (FPP) has become increasingly important in dynamic 3-D shape measurement. In FPP, it is necessary to retrieve the phase of the measured object before shape profiling. However, traditional phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Haotian Yu , Xiaoyu Chen , Zhao Zhang , Yi Zhang , Dongliang Zheng , Jing Han

The minimisation of cost functions is crucial in various optimisation fields. However, identifying their global minimum remains challenging owing to the huge computational cost incurred. This work analytically expresses the computational…

Neural and Evolutionary Computing · Computer Science 2021-11-22 Takuya Isomura

Fine, regular, and star triangulations (FRSTs) of four-dimensional reflexive polytopes give rise to toric varieties, within which generic anticanonical hypersurfaces yield smooth Calabi-Yau threefolds. We introduce CYTransformer, a deep…

High Energy Physics - Theory · Physics 2025-11-14 Jacky H. T. Yip , Charles Arnal , François Charton , Gary Shiu

In this paper, we investigate the possibility of improving the performance of multi-objective optimization solution approaches using machine learning techniques. Specifically, we focus on multi-objective binary linear programs and employ…

Machine Learning · Statistics 2019-01-31 Alvaro Sierra-Altamiranda , Hadi Charkhgard , Iman Dayarian , Ali Eshragh , Sorna Javadi

We describe the algorithms used by the ETH Flippers team in the CG:SHOP 2026 Challenge. Each instance consists of a set of triangulations on a common point set, and the objective is to find a central triangulation that minimizes the total…

Computational Geometry · Computer Science 2026-03-25 Lorenzo Battini , Marko Milenković

Random search methods are widely used for global optimization due to their theoretical generality and implementation simplicity. This paper proposes a depth-first directional search (DFDS) algorithm for globally solving nonconvex…

Optimization and Control · Mathematics 2025-11-12 Yuxuan Zhang , Wenxun Xing