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We shall prove a convergence result relative to sequences of Minkowski symmetrals of general compact sets. In particular, we investigate the case when this process is induced by sequences of subspaces whose elements belong to a finite…

Metric Geometry · Mathematics 2021-12-07 Jacopo Ulivelli

Membership Inference Attacks exploit the vulnerabilities of exposing models trained on customer data to queries by an adversary. In a recently proposed implementation of an auditing tool for measuring privacy leakage from sensitive…

Machine Learning · Computer Science 2020-09-21 Abhinav Aggarwal , Zekun Xu , Oluwaseyi Feyisetan , Nathanael Teissier

The recently developed matrix based Renyi's entropy enables measurement of information in data simply using the eigenspectrum of symmetric positive semi definite (PSD) matrices in reproducing kernel Hilbert space, without estimation of the…

Machine Learning · Statistics 2023-01-10 Tieliang Gong , Yuxin Dong , Shujian Yu , Bo Dong

The inconsistency issue in the Visual-Inertial Navigation System (VINS) is a long-standing and fundamental challenge. While existing studies primarily attribute the inconsistency to observability mismatch, these analyses are often based on…

Robotics · Computer Science 2025-11-25 Chungeng Tian , Fenghua He , Ning Hao

Stereo depth estimation is a critical task in autonomous driving and robotics, where inaccuracies (such as misidentifying nearby objects as distant) can lead to dangerous situations. Adversarial attacks against stereo depth estimation can…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Yun Xing , Yue Cao , Nhat Chung , Jie Zhang , Ivor Tsang , Ming-Ming Cheng , Yang Liu , Lei Ma , Qing Guo

It is well-known that an algorithm exists which approximates the NP-complete problem of Set Cover within a factor of ln(n), and it was recently proven that this approximation ratio is optimal unless P = NP. This optimality result is the…

Computational Complexity · Computer Science 2021-11-30 Erika Melder

As Large Language Models (LLMs) are increasingly integrated into academic peer review, their vulnerability to adversarial hidden prompts, i.e., adversarial instructions embedded in submissions to manipulate outcomes, poses a critical threat…

Computation and Language · Computer Science 2026-05-29 Yuan Xin , Yixuan Weng , Minjun Zhu , Ying Ling , Chengwei Qin , Michael Backes , Yue Zhang , Linyi Yang

Both transduction and rejection have emerged as important techniques for defending against adversarial perturbations. A recent work by Goldwasser et al. showed that rejection combined with transduction can give provable guarantees (for…

Machine Learning · Computer Science 2025-06-24 Nils Palumbo , Yang Guo , Xi Wu , Jiefeng Chen , Yingyu Liang , Somesh Jha

When modeling a given type of data, we consider it to involve two key aspects: 1) identifying relevant elements (e.g., image pixels or textual words) to a central element, as in a convolutional receptive field, or to a query element, as in…

Machine Learning · Computer Science 2025-10-14 Hehe Fan , Yi Yang , Mohan Kankanhalli , Fei Wu

The problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem of understanding the gravitational/informational entropy are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roustam Zalaletdinov

The detection of fraud in accounting data is a long-standing challenge in financial statement audits. Nowadays, the majority of applied techniques refer to handcrafted rules derived from known fraud scenarios. While fairly successful, these…

Machine Learning · Computer Science 2019-08-05 Marco Schreyer , Timur Sattarov , Christian Schulze , Bernd Reimer , Damian Borth

Most of the adversarial attack methods suffer from large perceptual distortions such as visible artifacts, when the attack strength is relatively high. These perceptual distortions contain a certain portion which contributes less to the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Ruijie Yang , Yunhong Wang , Ruikui Wang , Yuanfang Guo

Embedding-based representations in Euclidean space $\mathbb{R}^d$ are a cornerstone of modern machine learning, where a major goal is to use the \emph{smallest dimension} that faithfully captures data relations. In this work, we prove sharp…

Data Structures and Algorithms · Computer Science 2026-05-06 Dionysis Arvanitakis , Vaggos Chatziafratis , Yiyuan Luo

We investigate practical algorithms to find or disprove the existence of small subsets of a dataset which, when removed, reverse the sign of a coefficient in an ordinary least squares regression involving that dataset. We empirically study…

Methodology · Statistics 2023-08-01 Daniel Freund , Samuel B. Hopkins

In the classic expert problem, $\Phi$-regret measures the gap between the learner's total loss and that achieved by applying the best action transformation $\phi \in \Phi$. A recent work by Lu et al., [2025] introduces an adaptive algorithm…

Machine Learning · Computer Science 2025-12-16 Soumita Hait , Ping Li , Haipeng Luo , Mengxiao Zhang

Universal adversarial perturbations (UAPs), a.k.a. input-agnostic perturbations, has been proved to exist and be able to fool cutting-edge deep learning models on most of the data samples. Existing UAP methods mainly focus on attacking…

Computer Vision and Pattern Recognition · Computer Science 2019-09-12 Jie Li , Rongrong Ji , Hong Liu , Xiaopeng Hong , Yue Gao , Qi Tian

Taxonomy completion, enriching existing taxonomies by inserting new concepts as parents or attaching them as children, has gained significant interest. Previous approaches embed concepts as vectors in Euclidean space, which makes it…

Computation and Language · Computer Science 2024-06-19 Wei Xue , Yongliang Shen , Wenqi Ren , Jietian Guo , Shiliang Pu , Weiming Lu

Finite mixtures of classifiers (a.k.a. randomized ensembles) have been proposed as a way to improve robustness against adversarial attacks. However, existing attacks have been shown to not suit this kind of classifier. In this paper, we…

Machine Learning · Computer Science 2025-06-13 Lucas Gnecco-Heredia , Benjamin Negrevergne , Yann Chevaleyre

Inversion symmetry breaking is a ubiquitous concept in condensed-matter science. On the one hand, it is a prerequisite for many technologically relevant effects such as piezoelectricity, photovoltaic and nonlinear optical properties and…

Materials Science · Physics 2021-04-28 J. Nordlander , M. D. Rossell , M. Campanini , M. Fiebig , M. Trassin

LLM-based formal proof assistants (e.g., in Lean) hold great promise for automating mathematical discovery. But beyond syntactic correctness, do these systems truly understand mathematical structure as humans do? We investigate this…

Artificial Intelligence · Computer Science 2025-10-21 Haoyu Zhao , Yihan Geng , Shange Tang , Yong Lin , Bohan Lyu , Hongzhou Lin , Chi Jin , Sanjeev Arora
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