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A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODEs using dynamical systems theory and prove several results…

Dynamical Systems · Mathematics 2023-09-29 Christian Kuehn , Sara-Viola Kuntz

Collision between rigid three-dimensional objects is a very common modelling problem in a wide spectrum of scientific disciplines, including Computer Science and Physics. It spans from realistic animation of polyhedral shapes for computer…

Computational Physics · Physics 2020-06-23 Luca Tonti , Alessandro Patti

This paper is on Bayesian inference for parametric statistical models that are defined by a stochastic simulator which specifies how data is generated. Exact sampling is then possible but evaluating the likelihood function is typically…

Machine Learning · Statistics 2020-03-02 Borislav Ikonomov , Michael U. Gutmann

Active object reconstruction using autonomous robots is gaining great interest. A primary goal in this task is to maximize the information of the object to be reconstructed, given limited on-board resources. Previous view planning methods…

Robotics · Computer Science 2024-02-14 Hao Hu , Sicong Pan , Liren Jin , Marija Popović , Maren Bennewitz

Randomized sketching accelerates large-scale numerical linear algebra by reducing computational complexity. While the traditional sketch-and-solve approach reduces the problem size directly through sketching, the sketch-and-precondition…

Numerical Analysis · Mathematics 2025-05-23 Ruihan Xu , Yiping Lu

Robust prediction of molecular properties under extreme out-of-distribution (OOD) scenarios is a pivotal bottleneck in AI-driven drug discovery. Current scaffold-splitting protocols fail to obstruct microscopic semantic overlap,…

Machine Learning · Computer Science 2026-05-15 Zhuohao Lin , Kun Li , Jiameng Chen , Jiajun Yu , Duanhua Cao , Yizhen Zheng , Wenbin Hu

Benchmarking the performance of quantum error correction codes in physical systems is crucial for achieving fault-tolerant quantum computing. Current methodologies, such as (shadow) tomography or direct fidelity estimation, fall short in…

Quantum Physics · Physics 2024-10-17 Junjie Chen , Pei Zeng , Qi Zhao , Xiongfeng Ma , You Zhou

We propose an adversarial evaluation framework for sensitive feature inference based on minimum mean-squared error (MMSE) estimation with a finite sample size and linear predictive models. Our approach establishes theoretical lower bounds…

Machine Learning · Statistics 2025-05-15 Monica Welfert , Nathan Stromberg , Mario Diaz , Lalitha Sankar

Fueled by deep learning, computer-aided diagnosis achieves huge advances. However, out of controlled lab environments, algorithms could face multiple challenges. Open set recognition (OSR), as an important one, states that categories unseen…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Mingyuan Liu , Lu Xu , Jicong Zhang

This paper focuses on solving a stochastic variational inequality (SVI) problem under relaxed smoothness assumption for a class of structured non-monotone operators. The SVI problem has attracted significant interest in the machine learning…

Optimization and Control · Mathematics 2025-10-02 Daniil Vankov , Angelia Nedich , Lalitha Sankar

Deep neural networks have achieved remarkable performance on a range of classification tasks, with softmax cross-entropy (CE) loss emerging as the de-facto objective function. The CE loss encourages features of a class to have a higher…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Kanchana Ranasinghe , Muzammal Naseer , Munawar Hayat , Salman Khan , Fahad Shahbaz Khan

Standard semantic instance segmentation provides useful, but inherently 2D information from a single image. To enable 3D analysis, one usually integrates absolute monocular depth estimation with instance segmentation. However, monocular…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Soroosh Baselizadeh , Cheuk-To Yu , Olga Veksler , Yuri Boykov

A key need in different disciplines is to perform analytics over fast-paced data streams, similar in nature to the traditional OLAP analytics in relational databases i.e., with filters and aggregates. Storing unbounded streams, however, is…

Databases · Computer Science 2023-09-13 Wieger R. Punter , Odysseas Papapetrou , Minos Garofalakis

Recently, the face recognizers based on linear representations have been shown to deliver state-of-the-art performance. In real-world applications, however, face images usually suffer from expressions, disguises and random occlusions. The…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Hanxi Li , Chunhua Shen , Yongsheng Gao

We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include: (i) a pointwise lower estimate of the graphing radius of a…

Differential Geometry · Mathematics 2025-11-26 Sebastian Boldt , Batu Güneysu , Stefano Pigola

Stochastic approximation (SA) is a classical approach for stochastic convex optimization. Previous studies have demonstrated that the convergence rate of SA can be improved by introducing either smoothness or strong convexity condition. In…

Machine Learning · Computer Science 2019-01-29 Lijun Zhang , Zhi-Hua Zhou

A common but rarely examined assumption in machine learning is that training yields models that actually satisfy their specified objective function. We call this the Objective Satisfaction Assumption (OSA). Although deviations from OSA are…

Artificial Intelligence · Computer Science 2026-02-11 Antoine Maier , Aude Maier , Tom David

Andoni, Krauthgamer and Razenshteyn (AKR) proved (STOC 2015) that a finite-dimensional normed space $(X,\|\cdot\|_X)$ admits a $O(1)$ sketching algorithm (namely, with $O(1)$ sketch size and $O(1)$ approximation) if and only if for every…

Data Structures and Algorithms · Computer Science 2018-10-11 Subhash Khot , Assaf Naor

Autonomous driving perception faces significant challenges due to occlusions and incomplete scene data in the environment. To overcome these issues, the task of semantic occupancy prediction (SOP) is proposed, which aims to jointly infer…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Helin Cao , Sven Behnke

This paper studies the online correlated selection (OCS) problem. It was introduced by Fahrbach, Huang, Tao, and Zadimoghaddam (2020) to obtain the first edge-weighted online bipartite matching algorithm that breaks the $0.5$ barrier.…

Data Structures and Algorithms · Computer Science 2021-12-17 Ruiquan Gao , Zhongtian He , Zhiyi Huang , Zipei Nie , Bijun Yuan , Yan Zhong