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Adversarial black-box attacks aim to craft adversarial perturbations by querying input-output pairs of machine learning models. They are widely used to evaluate the robustness of pre-trained models. However, black-box attacks often suffer…

Machine Learning · Computer Science 2020-11-11 Lu Wang , Huan Zhang , Jinfeng Yi , Cho-Jui Hsieh , Yuan Jiang

Many of the computing systems programmed using Machine Learning are opaque: it is difficult to know why they do what they do or how they work. The Explainable Artificial Intelligence research program aims to develop analytic techniques with…

General Literature · Computer Science 2019-07-08 Carlos Zednik

We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

Let $\Omega$ be a finite set of finitary operation symbols. An $\Omega$-expanded group is a group (written additively and called the additive group of the $\Omega$-expanded group) with an $\Omega$-algebra structure. We use the black-box…

Rings and Algebras · Mathematics 2025-05-28 Mikhail Anokhin

We develop methods to study $2$-dimensional $2$-adic Galois representations $\rho$ of the absolute Galois group of a number field $K$, unramified outside a known finite set of primes $S$ of $K$, which are presented as Black Box…

Number Theory · Mathematics 2018-06-01 Alejandro Argáez-García , John Cremona

Using the theory of group action, we first introduce the concept of the automorphism group of an exponential family or a graphical model, thus formalizing the general notion of symmetry of a probabilistic model. This automorphism group…

Artificial Intelligence · Computer Science 2013-09-27 Hung Bui , Tuyen Huynh , Sebastian Riedel

We address a cryptanalysis of two protocols based on the supposed difficulty of discrete logarithm problem on (semi) groups of matrices over a group ring. We can find the secret key and break entirely the protocols.

Cryptography and Security · Computer Science 2015-03-17 Mohammad Eftekhari

In the present paper, we examine in detail the method of "graph compactifications" of topological groups. The graph and Ellis methods of constructing proper compactifications of topological groups are applied for the investigation of…

General Topology · Mathematics 2026-04-28 K. L. Kozlov , A. G. Leiderman

According to recent studies, the vulnerability of state-of-the-art Neural Networks to adversarial input samples has increased drastically. A neural network is an intermediate path or technique by which a computer learns to perform tasks…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Anirudh Yadav , Ashutosh Upadhyay , S. Sharanya

Extraspecial groups form a remarkable subclass of p-groups. They are also present in quantum information theory, in particular in quantum error correction. We give here a polynomial time quantum algorithm for finding hidden subgroups in…

Quantum Physics · Physics 2007-05-23 Gábor Ivanyos , Luc Sanselme , Miklos Santha

Deep learning models are used in safety-critical tasks such as automated driving and face recognition. However, small perturbations in the model input can significantly change the predictions. Adversarial attacks are used to identify small…

Cryptography and Security · Computer Science 2025-12-03 Issa Oe , Keiichiro Yamamura , Hiroki Ishikura , Ryo Hamahira , Katsuki Fujisawa

The financial industry faces a significant challenge modeling and risk portfolios: balancing the predictability of advanced machine learning models, neural network models, and explainability required by regulatory entities (such as Office…

Machine Learning · Computer Science 2025-11-10 Rongbin Ye , Jiaqi Chen

In Machine Learning, White Box Adversarial Attacks rely on knowing underlying knowledge about the model attributes. This works focuses on discovering to distrinct pieces of model information: the underlying architecture and primary training…

Machine Learning · Computer Science 2020-09-08 Josh Kalin , Matthew Ciolino , David Noever , Gerry Dozier

Artificial neural networks have proven to be extremely useful models that have allowed for multiple recent breakthroughs in the field of Artificial Intelligence and many others. However, they are typically regarded as black boxes, given how…

Artificial Intelligence · Computer Science 2023-03-07 Manuel de Sousa Ribeiro , João Leite

A hybrid model involves the cooperation of an interpretable model and a complex black box. At inference, any input of the hybrid model is assigned to either its interpretable or complex component based on a gating mechanism. The advantages…

Machine Learning · Computer Science 2023-03-09 Julien Ferry , Gabriel Laberge , Ulrich Aïvodji

The rapid evolution of machine learning (ML) has led to the widespread adoption of complex "black box" models, such as deep neural networks and ensemble methods. These models exhibit exceptional predictive performance, making them…

Machine Learning · Computer Science 2025-03-28 Moncef Garouani , Josiane Mothe , Ayah Barhrhouj , Julien Aligon

This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite-dimensional, these automorphism groups share some important features of algebraic…

Algebraic Geometry · Mathematics 2025-03-06 Sergei Kovalenko , Alexander Perepechko , Mikhail Zaidenberg

We propose a new, simple framework for crafting adversarial examples for black box attacks. The idea is to simulate the substitution model with a non-trainable model compounded of just one layer of handcrafted convolutional kernels and then…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Petr Dvořáček , Petr Hurtik , Petra Števuliáková

The recent series of innovations in deep learning (DL) have shown enormous potential to impact individuals and society, both positively and negatively. The DL models utilizing massive computing power and enormous datasets have significantly…

Artificial Intelligence · Computer Science 2020-12-15 Manas Gaur , Keyur Faldu , Amit Sheth

Since 1870s, scientists have been taking deep insight into Lie groups and Lie algebras. With the development of Lie theory, Lie groups have got profound significance in many branches of mathematics and physics. In Lie theory, exponential…

Cryptography and Security · Computer Science 2016-06-13 Haibo Hong , Licheng Wang , Jun Shao , Haseeb Ahmad , Yixian Yang