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We investigate the long-term diffusion transport and chaos properties of single and coupled standard maps. We consider model parameters that are known to induce anomalous diffusion in the maps' phase spaces, as opposed to normal diffusion…

Chaotic Dynamics · Physics 2021-12-02 Henok Tenaw Moges , Thanos Manos , Charalampos Skokos

Diffusion models are powerful, but they require a lot of time and data to train. We propose Patch Diffusion, a generic patch-wise training framework, to significantly reduce the training time costs while improving data efficiency, which…

Computer Vision and Pattern Recognition · Computer Science 2023-10-20 Zhendong Wang , Yifan Jiang , Huangjie Zheng , Peihao Wang , Pengcheng He , Zhangyang Wang , Weizhu Chen , Mingyuan Zhou

This letter discusses the problem of testing the degree of randomness within an image, particularly for a shuffled or encrypted image. Its key contributions are: 1) a mathematical model of perfectly shuffled images; 2) the derivation of the…

Cryptography and Security · Computer Science 2012-11-08 Yue Wu , Sos Agaian , Joseph P. Noonan

Design and cryptanalysis of chaotic encryption schemes are major concerns to provide secured information systems. Pursuing our previous research works, some well-defined discrete chaotic iterations that satisfy the reputed Devaney's…

Chaotic Dynamics · Physics 2016-11-28 Xiaole Fang , Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

Nowadays, the chaotic cryptosystems are gaining more attention due to their efficiency, the assurance of robustness and high sensitivity corresponding to initial conditions. In literature, on one hand there are many encryption algorithms…

Cryptography and Security · Computer Science 2020-06-23 Temadher Alassiry Al-Maadeed , Iqtadar Hussain , Amir Anees , M. T. Mustafa

A security analysis of a recently proposed secure communication scheme based on the phase synchronization of chaotic systems is presented. It is shown that the system parameters directly determine the ciphertext waveform, hence it can be…

Chaotic Dynamics · Physics 2007-05-23 G. Alvarez , F. Montoya , G. Pastor , M. Romera

This work aims to improve the efficiency of text-to-image diffusion models. While diffusion models use computationally expensive UNet-based denoising operations in every generation step, we identify that not all operations are equally…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Amirhossein Habibian , Amir Ghodrati , Noor Fathima , Guillaume Sautiere , Risheek Garrepalli , Fatih Porikli , Jens Petersen

In recent years, a great amount of secure communications systems based on chaotic synchronization have been published. Most of the proposed schemes fail to explain a number of features of fundamental importance to all cryptosystems, such as…

Chaotic Dynamics · Physics 2007-10-23 Gonzalo Alvarez , Shujun Li

In this paper, two image encryption schemes are proposed for grayscale and color images. The two encryption schemes are based on dividing each image into blocks of different sizes. In the first scheme, the two dimension ($2$D) input image…

Cryptography and Security · Computer Science 2018-02-22 Omar Reyad , M. A. Mofaddel , W. M. Abd-Elhafiez , Mohamed Fathy

This paper analyzes security performance of an image encryption algorithm using 2D lag-complex Logistic map (LCLM), which adopts it as a pseudo-random number generator, and uses the sum of all pixel values of the plain-image as its initial…

Cryptography and Security · Computer Science 2022-08-16 Chengqing Li , Xianhui Shen , Sheng Liu

Diffusion models (DMs) embark a new era of generative modeling and offer more opportunities for efficient generating high-quality and realistic data samples. However, their widespread use has also brought forth new challenges in model…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Jingyao Xu , Yuetong Lu , Yandong Li , Siyang Lu , Dongdong Wang , Xiang Wei

With the development of imaging methods in wireless communications, enhancing the security and efficiency of image transfer requires image compression and encryption schemes. In conventional methods, encryption and compression are two…

Cryptography and Security · Computer Science 2020-04-07 Behrooz Khadem , Reza Ahmadian

Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in conservative systems. The core of our approach is a small…

Chaotic Dynamics · Physics 2007-05-23 Cristel Chandre , Guido Ciraolo , Fabrice Doveil , Ricardo Lima , Alessandro Macor , Michel Vittot

We present a scheme for implementing homomorphic encryption on coherent states encoded using phase-shift keys. The encryption operations require only rotations in phase space, which commute with computations in the codespace performed via…

Quantum Physics · Physics 2018-04-11 Si-Hui Tan , Yingkai Ouyang , Peter P. Rohde

Diffusion Transformers (DiTs) have emerged as the dominant architecture for high-quality image and video generation, yet their iterative denoising process incurs substantial computational cost during inference. Existing caching methods…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Guandong Li

As long as human beings exist on this earth, there will be confidential images intended for limited audience. These images have to be transmitted in such a way that no unauthorized person gets knowledge of them. DNA sequences play a vital…

Cryptography and Security · Computer Science 2016-11-28 Grasha Jacob , A. Murugan

We aim to leverage diffusion to address the challenging image matting task. However, the presence of high computational overhead and the inconsistency of noise sampling between the training and inference processes pose significant obstacles…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Yihan Hu , Yiheng Lin , Wei Wang , Yao Zhao , Yunchao Wei , Humphrey Shi

Image inpainting is an important image generation task, which aims to restore corrupted image from partial visible area. Recently, diffusion Schr\"odinger bridge methods effectively tackle this task by modeling the translation between…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Zihao Han , Baoquan Zhang , Lisai Zhang , Shanshan Feng , Kenghong Lin , Guotao Liang , Yunming Ye , Xiaochen Qi , Guangming Ye

The application of diffusion transformers is suffering from their significant inference costs. Recently, feature caching has been proposed to solve this problem by reusing features from previous timesteps, thereby skipping computation in…

Originally proposed by Duffy et al., Diffusion is a variant of chip-firing in which chips from flow from places of high concentration to places of low concentration. In the variant, Perturbation Diffusion, the first step involves a…

Combinatorics · Mathematics 2020-03-31 Danielle Cox , Todd Mullen , Richard Nowakowski