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This paper introduces a novel approach to approximating continuous functions over high-dimensional hypercubes by integrating matrix CUR decomposition with hyperinterpolation techniques. Traditional Fourier-based hyperinterpolation methods…

Numerical Analysis · Mathematics 2025-10-16 Maolin Che , Congpei An , Yimin Wei , Hong Yan

Gradient inversion attacks aim to reconstruct local training data from intermediate gradients exposed in the federated learning framework. Despite successful attacks, all previous methods, starting from reconstructing a single data point…

Cryptography and Security · Computer Science 2024-04-16 Yanbo Wang , Jian Liang , Ran He

Recent model inversion attack algorithms permit adversaries to reconstruct a neural network's private and potentially sensitive training data by repeatedly querying the network. In this work, we develop a novel network architecture that…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Sayanton V. Dibbo , Adam Breuer , Juston Moore , Michael Teti

Systems of Boolean equations of low degree arise in a natural way when analyzing block ciphers. The cipher's round functions relate the secret key to auxiliary variables that are introduced by each successive round. In algebraic…

Cryptography and Security · Computer Science 2017-10-25 Bjørn Møller Greve , Håvard Raddum , Gunnar Fløystad , Øyvind Ytrehus

Cryptanalysis on standard quantum cryptographic systems generally involves finding optimal adversarial attack strategies on the underlying protocols. The core principle of modelling quantum attacks in many cases reduces to the adversary's…

Quantum Physics · Physics 2022-04-14 Brian Coyle , Mina Doosti , Elham Kashefi , Niraj Kumar

The quantum security of lightweight block ciphers is receiving more and more attention. However, the existing quantum attacks on lightweight block ciphers mainly focused on the quantum exhaustive search, while the quantum dedicated attacks…

Quantum Physics · Physics 2021-06-03 Hui Liu , Li Yang

We propose a novel optimization scheme designed to find optimally correctable subspace codes for a known quantum noise channel. To each candidate subspace code we first associate a universal recovery map, as if the code was perfectly…

Quantum Physics · Physics 2024-10-29 Miguel Casanova , Kentaro Ohki , Francesco Ticozzi

Rank Decoding (RD) is the main underlying problem in rank-based cryptography. Based on this problem and quasi-cyclic versions of it, very efficient schemes have been proposed recently, such as those in the ROLLO and RQC submissions, which…

Cryptography and Security · Computer Science 2021-02-10 Magali Bardet , Maxime Bros , Daniel Cabarcas , Philippe Gaborit , Ray Perlner , Daniel Smith-Tone , Jean-Pierre Tillich , Javier Verbel

We propose a new method for retrieving the algebraic structure of a generic alternant code given an arbitrary generator matrix, provided certain conditions are met. We then discuss how this challenges the security of the McEliece…

Information Theory · Computer Science 2025-05-16 Axel Lemoine

Exact recovery of a sparse solution for an underdetermined system of linear equations implies full search among all possible subsets of the dictionary, which is computationally intractable, while l1 minimization will do the job when a…

Information Theory · Computer Science 2014-12-22 Mohsen Joneidi , Mahdi Barzegar Khalilsarai , Alireza Zaeemzadeh , Nazanin Rahnavard

A common retrieve-and-rerank paradigm involves retrieving relevant candidates from a broad set using a fast bi-encoder (BE), followed by applying expensive but accurate cross-encoders (CE) to a limited candidate set. However, relying on…

Computation and Language · Computer Science 2024-10-28 Jonghyun Song , Cheyon Jin , Wenlong Zhao , Andrew McCallum , Jay-Yoon Lee

We give new rounding schemes for SDP relaxations for the problems of maximizing cubic polynomials over the unit sphere and the $n$-dimensional hypercube. In both cases, the resulting algorithms yield a $O(\sqrt{n/k})$ multiplicative…

Data Structures and Algorithms · Computer Science 2023-10-03 Jun-Ting Hsieh , Pravesh K. Kothari , Lucas Pesenti , Luca Trevisan

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

Post-selection strategies that discard low-confidence computational results can significantly improve the effective fidelity of quantum error correction at the cost of reduced acceptance rates, which can be particularly useful for offline…

Quantum Physics · Physics 2026-01-27 Seok-Hyung Lee , Lucas H. English , Stephen D. Bartlett

This paper introduces an efficient algorithm for computing the best approximation of a given matrix onto the intersection of linear equalities, inequalities and the doubly nonnegative cone (the cone of all positive semidefinite matrices…

Optimization and Control · Mathematics 2018-03-20 Ying Cui , Defeng Sun , Kim-Chuan Toh

We propose cube thinning, a novel method for compressing the output of a MCMC (Markov chain Monte Carlo) algorithm when control variates are available. It amounts to resampling the initial MCMC sample (according to weights derived from…

Computation · Statistics 2021-09-01 Nicolas Chopin , Gabriel Ducrocq

Beyond its widespread application in signal and image processing, \emph{compressed sensing} principles have been greatly applied to secure information transmission (often termed 'compressive security'). In this scenario, the measurement…

Cryptography and Security · Computer Science 2025-10-20 Axel Flinth , Hubert Orlicki , Semira Einsele , Gerhard Wunder

Topological quantum error correction is a milestone in the scaling roadmap of quantum computers, which targets circuits with trillions of gates that would allow running quantum algorithms for real-world problems. The square-lattice surface…

Quantum Physics · Physics 2025-02-12 César Benito , Esperanza López , Borja Peropadre , Alejandro Bermudez

Backdoor attacks threaten the deep learning supply chain by poisoning a small fraction of the training data so that a model behaves normally on clean inputs but misclassifies trigger-carrying inputs to an attacker-chosen target class.…

Cryptography and Security · Computer Science 2026-05-05 Yi Yang , Jinyang Huang , Binbin Liu , Feng-Qi Cui , Xiaokang Zhou , Zhi Liu , Jie Zhang , Meng Li

Logic locking protects an IC from threats such as piracy of design IP and unauthorized overproduction throughout the IC supply chain. Out of the several techniques proposed by the research community, provably-secure logic locking (PSLL) has…

Cryptography and Security · Computer Science 2022-09-07 Satwik Patnaik , Nimisha Limaye , Ozgur Sinanoglu