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We introduce a method for learning chaotic maps using an improved autoencoder neural network that incorporates a conjugacy layer in the latent space. The added conjugacy layer transforms nonlinear maps into a simple piecewise linear map…

Dynamical Systems · Mathematics 2025-07-15 Meagan Carney , Cecilia González-Tokman , Ruethaichanok Kardkasem , Hongkun Zhang

As a research field of stream ciphers, the pursuit of a balance of security and practicality is the focus. The conditions for security usually have to satisfy at least high period and high linear complexity. Because the feedforward…

Cryptography and Security · Computer Science 2021-08-25 Yangpan Zhang , Maozhi Xu

In ISNN'04, a novel symmetric cipher was proposed, by combining a chaotic signal and a clipped neural network (CNN) for encryption. The present paper analyzes the security of this chaotic cipher against chosen-plaintext attacks, and points…

Cryptography and Security · Computer Science 2007-12-19 Chengqing Li , Shujun Li , Dan Zhang , Guanrong Chen

It is known that chaotic systems have widely been used in cryptography. Generally, floating point simulations are used to generate pseudo-random sequence of numbers. Although, it is possible to find some works on the degradation of chaotic…

Cryptography and Security · Computer Science 2018-12-27 L. G. Nardo , A. M. Lima , E. G. Nepomuceno , J. Arias-Garcia

This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

Systems and Control · Computer Science 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

Many finance, physics, and engineering phenomena are modeled by continuous-time dynamical systems driven by highly irregular (stochastic) inputs. A powerful tool to perform time series analysis in this context is rooted in rough path theory…

Machine Learning · Computer Science 2023-04-27 Enea Monzio Compagnoni , Anna Scampicchio , Luca Biggio , Antonio Orvieto , Thomas Hofmann , Josef Teichmann

Long Short-Term Memory (LSTM) networks are often used to capture temporal dependency patterns. By stacking multi-layer LSTM networks, it can capture even more complex patterns. This paper explores the effectiveness of applying stacked LSTM…

Machine Learning · Computer Science 2020-11-03 Frank Xiao

Cache randomization has recently been revived as a promising defense against conflict-based cache side-channel attacks. As two of the latest implementations, CEASER-S and ScatterCache both claim to thwart conflict-based cache side-channel…

Cryptography and Security · Computer Science 2021-11-30 Wei Song , Boya Li , Zihan Xue , Zhenzhen Li , Wenhao Wang , Peng Liu

Based on Restricted Boltzmann Machines (RBMs), an improved pseudo-stochastic sequential cipher generator is proposed. It is effective and efficient because of the two advantages: this generator includes a stochastic neural network that can…

Cryptography and Security · Computer Science 2016-08-18 Fei Hu , Xiaofei Xu , Tao Peng , Changjiu Pu , Li Li

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

Dynamical Systems · Mathematics 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

This paper shows how a one-way mapping using majority information on adjacent bits will improve the randomness of d-sequences. Supporting experimental results are presented. It is shown that the behavior of d-sequences is different from…

Cryptography and Security · Computer Science 2011-06-21 Sandhya Rangineni

We live in a data-driven era that involves the generation, collection and processing of a massive amount of data. This data often contains valuable intellectual property and sensitive user information that must be safeguarded. There is a…

Cryptography and Security · Computer Science 2023-06-13 Nivedita Shrivastava , Smruti R. Sarangi

The full family of discrete logistic maps has been widely studied both as a canonical example of the period-doubling route to chaos, and as a model of natural processes. In this paper we present a study of the stochastic process described…

Dynamical Systems · Mathematics 2025-09-09 Kimberly Ayers , Ami Radunskaya

We discuss the possibility of applying some standard statistical methods (the least square method, the maximum likelihood method, the method of statistical moments for estimation of parameters) to deterministically chaotic low-dimensional…

Data Analysis, Statistics and Probability · Physics 2009-11-10 V. F. Pisarenko , D. Sornette

This paper develops a variant of the Least Squares Shadowing (LSS) method, which has successfully computed the derivative for several chaotic ODEs and PDEs. The development in this paper aims to simplify Least Squares Shadowing method by…

Dynamical Systems · Mathematics 2017-05-02 Mario Chater , Angxiu Ni , Qiqi Wang

Multimodal hearing aids (HAs) aim to deliver more intelligible audio in noisy environments by contextually sensing and processing data in the form of not only audio but also visual information (e.g. lip reading). Machine learning techniques…

Compressive sensing (CS) has been widely studied and applied in many fields. Recently, the way to perform secure compressive sensing (SCS) has become a topic of growing interest. The existing works on SCS usually take the sensing matrix as…

Cryptography and Security · Computer Science 2014-03-27 Yushu Zhang , Kwok-Wo Wong , Di Xiao , Leo Yu Zhang , Ming Li

Recently, machine learning techniques, particularly deep learning, have demonstrated superior performance over traditional time series forecasting methods across various applications, including both single-variable and multi-variable…

Machine Learning · Computer Science 2025-10-02 Huaiyuan Rao , Yichen Zhao , Qiang Lai

We provide a new provably-secure steganographic encryption protocol that is proven secure in the complexity-theoretic framework of Hopper et al. The fundamental building block of our steganographic encryption protocol is a "one-time…

Cryptography and Security · Computer Science 2009-09-22 Aggelos Kiayias , Yona Raekow , Alexander Russell , Narasimha Shashidhar

The standard LSTM recurrent neural networks while very powerful in long-range dependency sequence applications have highly complex structure and relatively large (adaptive) parameters. In this work, we present empirical comparison between…

Neural and Evolutionary Computing · Computer Science 2017-01-13 Yuzhen Lu , Fathi M. Salem
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