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We suggest a robust nearest-neighbor approach to classifying high-dimensional data. The method enhances sensitivity by employing a threshold and truncates to a sequence of zeros and ones in order to reduce the deleterious impact of…

Statistics Theory · Mathematics 2009-09-02 Yao-ban Chan , Peter Hall

This paper presents an efficient algorithm for the approximation of the rank-one convex hull in the context of nonlinear solid mechanics. It is based on hierarchical rank-one sequences and simultaneously provides first and second derivative…

Computational Engineering, Finance, and Science · Computer Science 2024-05-28 Maximilian Köhler , Timo Neumeier , Malte. A. Peter , Daniel Peterseim , Daniel Balzani

Convolutional neural network (CNN) inference using fully homomorphic encryption (FHE) is a promising private inference (PI) solution due to the capability of FHE that enables offloading the whole computation process to the server while…

Cryptography and Security · Computer Science 2024-01-02 Donghwan Kim , Jaiyoung Park , Jongmin Kim , Sangpyo Kim , Jung Ho Ahn

Transformers face a quadratic bottleneck in attention when scaling to long contexts. Recent approaches introduce recurrent memory to extend context beyond the current window, yet these often face a fundamental trade-off between theoretical…

Machine Learning · Computer Science 2026-02-13 Yunchong Song , Jushi Kai , Liming Lu , Kaixi Qiu , Zhouhan Lin

We consider online prediction of a binary sequence with expert advice. For this setting, we devise label-efficient forecasting algorithms, which use a selective sampling scheme that enables collecting much fewer labels than standard…

Machine Learning · Statistics 2023-10-23 Rui M. Castro , Fredrik Hellström , Tim van Erven

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

In the particular case we have insertions/deletions at the tail of a given set S of $n$ one-dimensional elements, we present a simpler and more concrete algorithm than that presented in [Anderson, 2007] achieving the same (but also…

Data Structures and Algorithms · Computer Science 2008-12-18 Spyros Sioutas

The challenge of delivering efficient explanations is a critical barrier that prevents the adoption of model explanations in real-world applications. Existing approaches often depend on extensive model queries for sample-level explanations…

Machine Learning · Computer Science 2026-03-10 Deng Pan , Nuno Moniz , Nitesh Chawla

When considering the minimization of a quadratic or strongly convex function, it is well known that first-order methods involving an inertial term weighted by a constant-in-time parameter are particularly efficient (see Polyak [32],…

Optimization and Control · Mathematics 2025-01-17 Jean-François Aujol , Charles Dossal , Hippolyte Labarrière , Aude Rondepierre

In this paper, we propose a new approach -- the Tempered Finite Element Method (TFEM) -- that extends the Finite Element Method (FEM) to classes of meshes that include zero-measure or nearly degenerate elements for which standard FEM…

Numerical Analysis · Mathematics 2024-11-27 Antoine Quiriny , Václav Kučera , Jonathan Lambrechts , Nicolas Moës , Jean-François Remacle

Fully Homomorphic Encryption (FHE) is a set of powerful cryptographic schemes that allows computation to be performed directly on encrypted data with an unlimited depth. Despite FHE's promising in privacy-preserving computing, yet in most…

Cryptography and Security · Computer Science 2025-04-23 Yi Huang , Xinsheng Gong , Xiangyu Kong , Dibei Chen , Jianfeng Zhu , Wenping Zhu , Liangwei Li , Mingyu Gao , Shaojun Wei , Aoyang Zhang , Leibo Liu

Link-based data structures, such as linked lists and binary search trees, have many well-known rearrangement steps allowing for efficient implementations of insertion, deletion, and other operations. We describe a rearrangement primitive…

Data Structures and Algorithms · Computer Science 2012-03-02 Boris Alexeev , M. Brian Jacokes

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

Computer Vision and Pattern Recognition · Computer Science 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

Hyperparameter (HP) optimization of deep learning (DL) is essential for high performance. As DL often requires several hours to days for its training, HP optimization (HPO) of DL is often prohibitively expensive. This boosted the emergence…

Machine Learning · Computer Science 2023-06-30 Shuhei Watanabe

This paper proposes a new algorithm, named Householder Dice (HD), for simulating dynamics on dense random matrix ensembles with translation-invariant properties. Examples include the Gaussian ensemble, the Haar-distributed random orthogonal…

Information Theory · Computer Science 2021-01-25 Yue M. Lu

Kernel herding belongs to a family of deterministic quadratures that seek to minimize the worst-case integration error over a reproducing kernel Hilbert space (RKHS). These quadrature rules come with strong experimental evidence that this…

Machine Learning · Computer Science 2025-08-12 Martin Rouault , Rémi Bardenet , Mylène Maïda

The relaxation in the calculus of variation motivates the numerical analysis of a class of degenerate convex minimization problems with non-strictly convex energy densities with some convexity control and two-sided $p$-growth. The…

Numerical Analysis · Mathematics 2024-07-03 C. Carstensen , N. T. Tran

We consider the problem of scheduling $n$ jobs on $m$ uniform machines while minimizing the makespan ($Q||C_{\max}$) and maximizing the minimum completion time ($Q||C_{\min}$) in an online setting with migration of jobs. In this online…

Data Structures and Algorithms · Computer Science 2025-08-13 Hauke Brinkop , David Fischer , Klaus Jansen

Inference-time computation offers a powerful axis for scaling the performance of language models. However, naively increasing computation in techniques like Best-of-N sampling can lead to performance degradation due to reward hacking.…

Artificial Intelligence · Computer Science 2025-04-09 Audrey Huang , Adam Block , Qinghua Liu , Nan Jiang , Akshay Krishnamurthy , Dylan J. Foster

Many high-energy-physics (HEP) simulations for the LHC rely on Monte Carlo using importance sampling by means of the VEGAS algorithm. However, complex high-precision calculations have become a challenge for the standard toolbox, as this…

High Energy Physics - Phenomenology · Physics 2024-02-26 Nicolas Deutschmann , Niklas Götz