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With the boom of Large Language Models (LLMs), the research of solving Math Word Problem (MWP) has recently made great progress. However, there are few studies to examine the security of LLMs in math solving ability. Instead of attacking…

Computation and Language · Computer Science 2023-09-06 Zihao Zhou , Qiufeng Wang , Mingyu Jin , Jie Yao , Jianan Ye , Wei Liu , Wei Wang , Xiaowei Huang , Kaizhu Huang

Recent cryptanalytic attacks have exposed the vulnerabilities of some widely used cryptographic hash functions like MD5 and SHA-1. Attacks in the line of differential attacks have been used to expose the weaknesses of several other hash…

Cryptography and Security · Computer Science 2012-09-19 Subhabrata Mukherjee , Bimal Roy , Anirban Laha

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

We study the optimal design of stealthy attacks against partially observed linear control systems. We first propose a novel likelihood-based detection mechanism derived from the innovation process, based on which we quantify stealthiness…

Optimization and Control · Mathematics 2026-05-12 Haosheng Zhou , Ruimeng Hu

Lattice-based cryptography relies on generating random bases which are difficult to fully reduce. Given a lattice basis (such as the private basis for a cryptosystem), all other bases are related by multiplication by matrices in…

Cryptography and Security · Computer Science 2021-05-20 Tamar Lichter Blanks , Stephen D. Miller

The susceptibility of deep learning models to adversarial perturbations has stirred renewed attention in adversarial examples resulting in a number of attacks. However, most of these attacks fail to encompass a large spectrum of adversarial…

In this article, we address the problem of risk assessment of stealthy attacks on uncertain control systems. Considering data injection attacks that aim at maximizing impact while remaining undetected, we use the recently proposed…

Optimization and Control · Mathematics 2023-09-26 Sribalaji C. Anand , André M. H. Teixeira , Anders Ahlén

Deep neural networks are known to be vulnerable to small adversarial perturbations in test data. To defend against adversarial attacks, probabilistic classifiers have been proposed as an alternative to deterministic ones. However,…

Machine Learning · Computer Science 2023-11-29 Lucas Gnecco-Heredia , Yann Chevaleyre , Benjamin Negrevergne , Laurent Meunier , Muni Sreenivas Pydi

In machine learning (ML) security, attacks like evasion, model stealing or membership inference are generally studied in individually. Previous work has also shown a relationship between some attacks and decision function curvature of the…

Cryptography and Security · Computer Science 2020-12-01 Kathrin Grosse , Michael T. Smith , Michael Backes

Computing reachability probabilities is a fundamental problem in the analysis of probabilistic programs. This paper aims at a comprehensive and comparative account on various martingale-based methods for over- and under-approximating…

Programming Languages · Computer Science 2018-11-16 Toru Takisaka , Yuichiro Oyabu , Natsuki Urabe , Ichiro Hasuo

Motivated by the increasing demand for data security in decentralized federated learning (FL) and stochastic optimization, we formulate and investigate the problem of information-theoretic \emph{decentralized secure aggregation} (DSA).…

Information Theory · Computer Science 2026-03-24 Xiang Zhang , Zhou Li , Shuangyang Li , Kai Wan , Derrick Wing Kwan Ng , Giuseppe Caire

Due to data dependency and model leakage properties, Deep Neural Networks (DNNs) exhibit several security vulnerabilities. Several security attacks exploited them but most of them require the output probability vector. These attacks can be…

Cryptography and Security · Computer Science 2019-02-01 Faiq Khalid , Hassan Ali , Muhammad Abdullah Hanif , Semeen Rehman , Rehan Ahmed , Muhammad Shafique

The data arrangement problem on regular trees (DAPT) consists in assigning the vertices of a given graph G to the leaves of a d-regular tree T such that the sum of the pairwise distances of all pairs of leaves in T which correspond to edges…

Optimization and Control · Mathematics 2013-04-23 Eranda Cela , Rostislav Stanek

Cryptographic protocols are the cornerstone of security in distributed systems. The formal analysis of their properties is accordingly one of the focus points of the security community, and is usually split among two groups. In the first…

Logic in Computer Science · Computer Science 2011-05-10 Yannick Chevalier

After three rounds of post-quantum cryptography (PQC) strict evaluations conducted by NIST, CRYSTALS-Kyber was successfully selected in July 2022 and standardized in August 2024. It becomes urgent to further evaluate Kyber's physical…

Cryptography and Security · Computer Science 2025-03-14 Kai Wang , Dejun Xu , Jing Tian

In this paper, we investigate the control of a cyber-physical system (CPS) while accounting for its vulnerability to external attacks. We formulate a constrained stochastic problem with a robust constraint to ensure robust operation against…

Optimization and Control · Mathematics 2024-07-18 Nishanth Venkatesh , Aditya Dave , Ioannis Faros , Andreas A. Malikopoulos

We consider FrodoKEM, a lattice-based cryptosystem based on LWE, and propose a new error correction mechanism to improve its performance. Our encoder maps the secret key block-wise into the Gosset lattice $E_8$. We propose two sets of…

Cryptography and Security · Computer Science 2021-10-06 Charbel Saliba , Laura Luzzi , Cong Ling

This survey is on forward-looking, emerging security concerns in post-quantum era, i.e., the implementation attacks for 2022 winners of NIST post-quantum cryptography (PQC) competition and thus the visions, insights, and discussions can be…

Cryptography and Security · Computer Science 2023-05-24 Alvaro Cintas Canto , Jasmin Kaur , Mehran Mozaffari Kermani , Reza Azarderakhsh

Regulation, legal liabilities, and societal concerns challenge the adoption of AI in safety and security-critical applications. One of the key concerns is that adversaries can cause harm by manipulating model predictions without being…

Machine Learning · Computer Science 2023-01-31 Jona Klemenc , Holger Trittenbach

The most known of public key cryptosystem was introduced in 1978 by Rivest, Shamir and Adleman [19] and now called the RSA public key cryptosystem in their honor. Later, a few authors gave a simply extension of RSA over algebraic numbers…

Number Theory · Mathematics 2022-02-08 Zhiyong Zheng , Fengxia Liu
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