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Recently, it was realized that anomalies can be completely classified by topological orders, symmetry protected topological (SPT) orders, and symmetry enriched topological orders in one higher dimension. The anomalies that people used to…

强关联电子 · 物理学 2019-11-06 Wenjie Ji , Xiao-Gang Wen

Adversarial examples pose significant threats to deep neural networks (DNNs), and their property of transferability in the black-box setting has led to the emergence of transfer-based attacks, making it feasible to target real-world…

计算机视觉与模式识别 · 计算机科学 2025-07-23 Yuyang Luo , Xiaosen Wang , Zhijin Ge , Yingzhe He

Error function analysis is an effective attack against chaotic cryptograph [PRE 66, 065202(R) (2002)]. The basin structure of the error function is crucial for determining the security of chaotic cryptosystems. In the present paper the…

混沌动力学 · 物理学 2015-06-26 Guoning Tang , Shihong Wang , Huaping Lu , Gang Hu

We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present…

群论 · 数学 2019-01-16 Riccardo Aragona , Alessio Meneghetti

Deep neural networks have demonstrated cutting edge performance on various tasks including classification. However, it is well known that adversarially designed imperceptible perturbation of the input can mislead advanced classifiers. In…

机器学习 · 计算机科学 2020-01-07 Mehdi Jafarnia-Jahromi , Tasmin Chowdhury , Hsin-Tai Wu , Sayandev Mukherjee

The (logically) centralised architecture of the software-defined networks makes them an easy target for packet injection attacks. In these attacks, the attacker injects malicious packets into the SDN network to affect the services and…

密码学与安全 · 计算机科学 2023-01-23 Anh Tuan Phu , Bo Li , Faheem Ullah , Tanvir Ul Huque , Ranesh Naha , Ali Babar , Hung Nguyen

The security of deep learning (DL) systems is an extremely important field of study as they are being deployed in several applications due to their ever-improving performance to solve challenging tasks. Despite overwhelming promises, the…

机器学习 · 计算机科学 2022-08-19 Manaar Alam , Shubhajit Datta , Debdeep Mukhopadhyay , Arijit Mondal , Partha Pratim Chakrabarti

Elliptic curve cryptography has received great attention in recent years due to its high resistance against modern cryptanalysis. The aim of this article is to present efficient generators to generate substitution boxes (S-boxes) and pseudo…

密码学与安全 · 计算机科学 2019-10-15 Ikram Ullah , Naveed Ahmed Azam , Umar Hayat

Deep neural networks have demonstrated high accuracy in image classification tasks. However, they were shown to be weak against adversarial examples: a small perturbation in the image which changes the classification output dramatically. In…

机器学习 · 计算机科学 2018-11-06 David Vigouroux , Sylvain Picard

We show that the algebra $D_\hbar(SL_n/U)$ of differential operators on the base affine space of $SL_n$ is the quantized Coulomb branch of a certain 3d $\mathcal{N} = 4$ quiver gauge theory. In the semiclassical limit this proves a…

表示论 · 数学 2026-01-23 Tom Gannon , Harold Williams

We study the differential uniformity of the Wan-Lidl polynomials over finite fields. A general upper bound, independent of the order of the field, is established. Additional bounds are established in settings where one of the parameters is…

数论 · 数学 2022-11-10 Li-An Chen , Robert S. Coulter

Deep convolutional neural network (DCNN for short) models are vulnerable to examples with small perturbations. Adversarial training (AT for short) is a widely used approach to enhance the robustness of DCNN models by data augmentation. In…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Jin Ding , Jie-Chao Zhao , Yong-Zhi Sun , Ping Tan , Ji-En Ma , You-Tong Fang

We propose a general approach to construct cryptographic significant Boolean functions of $(r+1)m$ variables based on the additive decomposition $\mathbb{F}_{2^{rm}}\times\mathbb{F}_{2^m}$ of the finite field $\mathbb{F}_{2^{(r+1)m}}$,…

密码学与安全 · 计算机科学 2014-01-28 Baofeng Wu , Qingfang Jin , Zhuojun Liu , Dongdai Lin

We show that for any positive integer $d$, there are families of switched linear systems---in fixed dimension and defined by two matrices only---that are stable under arbitrary switching but do not admit (i) a polynomial Lyapunov function…

最优化与控制 · 数学 2015-04-16 Amir Ali Ahmadi , Raphael Jungers

The motivating question for this work is a long standing open problem, posed by Nisan (1991), regarding the relative powers of algebraic branching programs (ABPs) and formulas in the non-commutative setting. Even though the general question…

计算复杂性 · 计算机科学 2021-03-02 Prerona Chatterjee

Let $k\geq 2$ be an integer. Given a uniform function $f$ - one that satisfies $\|f\|_{U(k)}<\infty$, there is an associated anti-uniform function $g$ - one that satisfied $\|g\|_{U(k)}^{*}$. The question is, can one approximate $g$ with…

经典分析与常微分方程 · 数学 2019-12-25 A. Martina Neuman

The growing body of literature on training-data reconstruction attacks raises significant concerns about deploying neural network classifiers trained on sensitive data. However, differentially private (DP) training (e.g. using DP-SGD) can…

密码学与安全 · 计算机科学 2025-10-29 Robert Allison , Tomasz Maciążek , Henry Bourne

The success of deep learning is inseparable from normalization layers. Researchers have proposed various normalization functions, and each of them has both advantages and disadvantages. In response, efforts have been made to design a…

机器学习 · 计算机科学 2024-02-20 Zikai Zhou , Shuo Zhang , Ziruo Wang , Huanran Chen

This paper presents a new technique for disturbing the algebraic structure of linear codes in code-based cryptography. This is a new attempt to exploit Gabidulin codes in the McEliece setting and almost all the previous cryptosystems of…

信息论 · 计算机科学 2022-05-09 Wenshuo Guo , Fang-Wei Fu

We propose a new symmetric cryptographic scheme based on functional invariants defined over discrete oscillatory functions with hidden parameters. The scheme encodes a secret integer through a four-point algebraic identity preserved under…

密码学与安全 · 计算机科学 2025-05-12 Stanislav Semenov