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We study when low coordinate degree functions (LCDF) -- linear combinations of functions depending on small subsets of entries of a vector -- can test for the presence of categorical structure, including community structure and…

Statistics Theory · Mathematics 2024-12-31 Dmitriy Kunisky

The binary similarity problem consists in determining if two functions are similar by only considering their compiled form. Advanced techniques for binary similarity recently gained momentum as they can be applied in several fields, such as…

Cryptography and Security · Computer Science 2019-12-20 Luca Massarelli , Giuseppe Antonio Di Luna , Fabio Petroni , Leonardo Querzoni , Roberto Baldoni

The support vector machine (SVM) is a widely used machine learning tool for classification based on statistical learning theory. Given a set of training data, the SVM finds a hyperplane that separates two different classes of data points by…

Machine Learning · Computer Science 2017-10-31 Daniel Lopez-Martinez

Vision-centric 3D environment understanding is both vital and challenging for autonomous driving systems. Recently, object-free methods have attracted considerable attention. Such methods perceive the world by predicting the semantics of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Lizhe Liu , Bohua Wang , Hongwei Xie , Daqi Liu , Li Liu , Zhiqiang Tian , Kuiyuan Yang , Bing Wang

Federated learning (FL) has emerged as a prominent distributed learning paradigm. FL entails some pressing needs for developing novel parameter estimation approaches with theoretical guarantees of convergence, which are also communication…

Machine Learning · Computer Science 2024-01-24 Richeng Jin , Yufan Huang , Xiaofan He , Huaiyu Dai , Tianfu Wu

The seabed characterization from sonar images is a very hard task because of the produced data and the unknown environment, even for an human expert. In this work we propose an original approach in order to combine binary classifiers…

Artificial Intelligence · Computer Science 2008-12-18 Arnaud Martin , Isabelle Quidu

The Hausdorff distance is a measure of (dis-)similarity between two sets which is widely used in various applications. Most of the applied literature is devoted to the computation for sets consisting of a finite number of points. This has…

Metric Geometry · Mathematics 2020-09-22 Daniel Kraft

Binary Classification plays an important role in machine learning. For linear classification, SVM is the optimal binary classification method. For nonlinear classification, the SVM algorithm needs to complete the classification task by…

Machine Learning · Computer Science 2024-06-21 Pengbo Yang , Jian Yu

Inferring signed distance functions (SDFs) from sparse point clouds remains a challenge in surface reconstruction. The key lies in the lack of detailed geometric information in sparse point clouds, which is essential for learning a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Takeshi Noda , Chao Chen , Junsheng Zhou , Weiqi Zhang , Yu-Shen Liu , Zhizhong Han

Implicit Neural Representations (INRs) that learn Signed Distance Functions (SDFs) from point cloud data represent the state-of-the-art for geometrically accurate 3D scene reconstruction. However, training these Neural SDFs often requires…

Graphics · Computer Science 2025-10-03 Meenakshi Krishnan , Ramani Duraiswami

Reconstructing 3D vehicles from noisy and sparse partial point clouds is of great significance to autonomous driving. Most existing 3D reconstruction methods cannot be directly applied to this problem because they are elaborately designed…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Yibo Liu , Kelly Zhu , Guile Wu , Yuan Ren , Bingbing Liu , Yang Liu , Jinjun Shan

Providing safety guarantees for stochastic dynamical systems is a central problem in various fields, including control theory, machine learning, and robotics. Existing methods either employ Stochastic Barrier Functions (SBFs) or rely on…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Luca Laurenti , Morteza Lahijanian

This article is concerned with the numerical solution of subspace optimization problems, consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed rank. Such problems are encountered in particular in…

Numerical Analysis · Mathematics 2022-10-17 Eric Cancès , Gaspard Kemlin , Antoine Levitt

Support Vector Machines (SVMs) were primarily designed for 2-class classification. But they have been extended for N-class classification also based on the requirement of multiclasses in the practical applications. Although N-class…

Machine Learning · Computer Science 2015-12-03 Aruna Govada , Bhavul Gauri , S. K. Sahay

A critical step in the digital surface models(DSM) generation is feature matching. Off-track (or multi-date) satellite stereo images, in particular, can challenge the performance of feature matching due to spectral distortions between…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Shuang Song , Luca Morelli , Xinyi Wu , Rongjun Qin , Hessah Albanwan , Fabio Remondino

Vision-language pretrained models offer strong transferable representations, yet adapting them in privacy-sensitive multi-party settings is challenging due to the high communication cost of federated optimization and the limited local data…

Machine Learning · Computer Science 2026-04-15 Yicheng Di , Wei Yuan , Tieke He , Yuan Liu , Hongzhi Yin

Partitioning a polygonal mesh into meaningful parts can be challenging. Many applications require decomposing such structures for further processing in computer graphics. In the last decade, several methods were proposed to tackle this…

Graphics · Computer Science 2023-09-01 Bruno Roy

Non-parametric goodness-of-fit testing procedures based on kernel Stein discrepancies (KSD) are promising approaches to validate general unnormalised distributions in various scenarios. Existing works focused on studying kernel choices to…

Methodology · Statistics 2022-06-02 Wenkai Xu

Implicit reconstruction of ESDF (Euclidean Signed Distance Field) involves training a neural network to regress the signed distance from any point to the nearest obstacle, which has the advantages of lightweight storage and continuous…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Yufeng Yue , Yinan Deng , Jiahui Wang , Yi Yang

Linear multistep methods (LMMs) applied to approximate the solution of initial value problems---typically arising from method-of-lines semidiscretizations of partial differential equations---are often required to have certain monotonicity…

Numerical Analysis · Mathematics 2017-05-30 Lajos Lóczi