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We study probabilistic cellular automata (PCA) and quantum cellular automata (QCA) as frameworks for solving the Maximum Independent Set (MIS) problem. We first introduce a synchronous PCA whose dynamics drives the system toward the…

Quantum Physics · Physics 2025-12-09 Federico Dell'Anna , Matteo Grotti , Vito Giardinelli

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

Topological dynamics of cellular automata (CA), inherited from classical dynamical systems theory, has been essentially studied in dimension 1. This paper focuses on 2D CA and aims at showing that the situation is different and more…

Discrete Mathematics · Computer Science 2009-04-29 Mathieu Sablik , Guillaume Theyssier

Graph data structures are fundamental for studying connected entities. With an increase in the number of applications where data is represented as graphs, the problem of graph generation has recently become a hot topic. However, despite its…

Conditional Generative Adversarial Networks (cGANs) are generative models that can produce data samples ($x$) conditioned on both latent variables ($z$) and known auxiliary information ($c$). We propose the Bidirectional cGAN (BiCoGAN),…

Machine Learning · Computer Science 2018-11-06 Ayush Jaiswal , Wael AbdAlmageed , Yue Wu , Premkumar Natarajan

The pursuit of efficient and controllable high-quality content generation remains a central challenge in artificial intelligence-generated content (AIGC). While one-step generators, enabled by diffusion distillation techniques, offer…

Machine Learning · Computer Science 2025-06-25 Yihong Luo , Shuchen Xue , Tianyang Hu , Jing Tang

We extend Cellular Automata to time-varying discrete geometries. In other words we formalize, and prove theorems about, the intuitive idea of a discrete manifold which evolves in time, subject to two natural constraints: the evolution does…

Discrete Mathematics · Computer Science 2018-07-17 Pablo Arrighi , Clément Chouteau , Stefano Facchini , Simon Martiel

Cellular Automata (CA) theory is a discrete model that represents the state of each of its cells from a finite set of possible values which evolve in time according to a pre-defined set of transition rules. CA have been applied to a number…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Karttikeya Mangalam , K S Venkatesh

Most conditional generation tasks expect diverse outputs given a single conditional context. However, conditional generative adversarial networks (cGANs) often focus on the prior conditional information and ignore the input noise vectors,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Qi Mao , Hsin-Ying Lee , Hung-Yu Tseng , Siwei Ma , Ming-Hsuan Yang

We consider discrete-time random perturbations of monotone cellular automata (CA) in two dimensions. Under general conditions, we prove the existence of half-space velocities, and then establish the validity of the Wulff construction for…

Probability · Mathematics 2007-05-23 Janko Gravner , David Griffeath

This paper introduces Structured Noise Space GAN (SNS-GAN), a novel approach in the field of generative modeling specifically tailored for class-conditional generation in both image and time series data. It addresses the challenge of…

Machine Learning · Computer Science 2023-12-21 Hamidreza Gholamrezaei , Alireza Koochali , Andreas Dengel , Sheraz Ahmed

Neural machine learning methods, such as deep neural networks (DNN), have achieved remarkable success in a number of complex data processing tasks. These methods have arguably had their strongest impact on tasks such as image and audio…

We introduce a new architecture called a conditional invertible neural network (cINN), and use it to address the task of diverse image-to-image translation for natural images. This is not easily possible with existing INN models due to some…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Lynton Ardizzone , Jakob Kruse , Carsten Lüth , Niels Bracher , Carsten Rother , Ullrich Köthe

We propose Conditional Idempotent Generative Networks (CIGN), a novel approach that expands upon Idempotent Generative Networks (IGN) to enable conditional generation. While IGNs offer efficient single-pass generation, they lack the ability…

Machine Learning · Computer Science 2024-06-06 Niccolò Ronchetti

Modeling the dynamics of cellular differentiation is fundamental to advancing the understanding and treatment of diseases associated with this process, such as cancer. With the rapid growth of single-cell datasets, this has also become a…

Controllable data generation aims to synthesize data by specifying values for target concepts. Achieving this reliably requires modeling the underlying generative factors and their relationships. In real-world scenarios, these factors…

Machine Learning · Computer Science 2025-11-21 Qilong Zhao , Shiyu Wang , Zeeshan Memon , Yang Qiao , Guangji Bai , Bo Pan , Zhaohui Qin , Liang Zhao

Biological systems possess remarkable capabilities for self-recognition and morphological regeneration, often relying solely on local interactions. Inspired by these decentralized processes, we present a novel system of physical 3D…

Neural and Evolutionary Computing · Computer Science 2025-09-26 Rodrigo Moreno , Andres Faina , Shyam Sudhakaran , Kathryn Walker , Sebastian Risi

Prior works on physical adversarial camouflage against vehicle detectors mainly focus on the effectiveness and robustness of the attack. The current most successful methods optimize 3D vehicle texture at a pixel level. However, this results…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Linye Lyu , Jiawei Zhou , Daojing He , Yu Li

Generative Adversarial Networks (GANs) are a well-known technique that is trained on samples (e.g. pictures of fruits) and which after training is able to generate realistic new samples. Conditional GANs (CGANs) additionally provide label…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Maximilian Bachl , Daniel C. Ferreira

Artificial neural networks (ANNs) exhibit a narrow scope of expertise on stationary independent data. However, the data in the real world is continuous and dynamic, and ANNs must adapt to novel scenarios while also retaining the learned…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Shruthi Gowda , Bahram Zonooz , Elahe Arani