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Cellular automata (CA) are dynamical systems on symbolic configurations on the lattice. They are also used as models of massively parallel computers. As dynamical systems, one would like to understand the effect of small random…

Probability · Mathematics 2019-04-16 Irène Marcovici , Mathieu Sablik , Siamak Taati

Quadratic discriminant analysis (QDA) is a widely used classification technique. Based on a training dataset, each class in the data is characterized by an estimate of its center and shape, which can then be used to assign unseen…

Methodology · Statistics 2021-01-13 Iwein Vranckx , Jakob Raymaekers , Bart De Ketelaere , Peter J. Rousseeuw , Mia Hubert

The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Jarrell , H. R. Krishnamurthy

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically, empirical evidence indicates that even systems which are…

Machine Learning · Computer Science 2024-09-13 Oliver J. Sutton , Qinghua Zhou , Ivan Y. Tyukin , Alexander N. Gorban , Alexander Bastounis , Desmond J. Higham

Real-world environment-derived point clouds invariably exhibit noise across varying modalities and intensities. Hence, point cloud denoising (PCD) is essential as a preprocessing step to improve downstream task performance. Deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Chengwei Zhang , Xueyi Zhang , Mingrui Lao , Tao Jiang , Xinhao Xu , Wenjie Li , Fubo Zhang , Longyong Chen

The presence of noise is common in signal processing regardless the signal type. Deep neural networks have shown good performance in noise removal, especially on the image domain. In this work, we consider deep neural networks as a…

Machine Learning · Computer Science 2020-07-07 Leslie Casas , Attila Klimmek , Nassir Navab , Vasileios Belagiannis

We analyze the Accelerated Noisy Power Method, an algorithm for Principal Component Analysis in the setting where only inexact matrix-vector products are available, which can arise for instance in decentralized PCA. While previous works…

Machine Learning · Statistics 2026-02-04 Pierre Aguié , Mathieu Even , Laurent Massoulié

Cellular Automata (CA) have long been foundational in simulating dynamical systems computationally. With recent innovations, this model class has been brought into the realm of deep learning by parameterizing the CA's update rule using an…

Neural and Evolutionary Computing · Computer Science 2023-11-29 Magnus Petersen

Traditional clustering methods often perform clustering with low-level indiscriminative representations and ignore relationships between patterns, resulting in slight achievements in the era of deep learning. To handle this problem, we…

Machine Learning · Computer Science 2019-05-07 Jianlong Chang , Yiwen Guo , Lingfeng Wang , Gaofeng Meng , Shiming Xiang , Chunhong Pan

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

We tackle the problem of learning linear classifiers from noisy datasets in a multiclass setting. The two-class version of this problem was studied a few years ago where the proposed approaches to combat the noise revolve around a…

Machine Learning · Computer Science 2015-06-25 Ugo Louche , Liva Ralaivola

Training dialogue systems often entails dealing with noisy training examples and unexpected user inputs. Despite their prevalence, there currently lacks an accurate survey of dialogue noise, nor is there a clear sense of the impact of each…

Computation and Language · Computer Science 2023-08-01 Derek Chen , Zhou Yu

The Continuous-Variable Firing Rate (CVFR) model, widely used in neuroscience to describe the intertangled dynamics of excitatory biological neurons, is here trained and tested as a veritable dynamically assisted classifier. To this end the…

The efficacy of active noise control technology in mitigating urban noise, particularly in relation to low-frequency components, has been well-established. In the realm of traditional academic research, adaptive algorithms, such as the…

Audio and Speech Processing · Electrical Eng. & Systems 2023-10-09 Guo Yu

A significant threat to the recent, wide deployment of machine learning-based systems, including deep neural networks (DNNs), is adversarial learning attacks. We analyze possible test-time evasion-attack mechanisms and show that, in some…

Machine Learning · Computer Science 2018-06-29 David J. Miller , Yulia Wang , George Kesidis

Neural Cellular Automata (NCA) is a class of Cellular Automata where the update rule is parameterized by a neural network that can be trained using gradient descent. In this paper, we focus on NCA models used for texture synthesis, where…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Ehsan Pajouheshgar , Yitao Xu , Sabine Süsstrunk

We investigate the sensitivity of the composite cellular automaton of H. Fuk\'{s} [Phys. Rev. E 55, R2081 (1997)] to noise and assess the density classification performance of the resulting probabilistic cellular automaton (PCA)…

Statistical Mechanics · Physics 2015-03-17 J. Ricardo G. Mendonça

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco

Representation learning has been increasing its impact on the research and practice of machine learning, since it enables to learn representations that can apply to various downstream tasks efficiently. However, recent works pay little…

The vulnerability to adversarial perturbations is a major flaw of Deep Neural Networks (DNNs) that raises question about their reliability when in real-world scenarios. On the other hand, human perception, which DNNs are supposed to…

Machine Learning · Computer Science 2023-08-09 Muhammad Ahmed Shah , Bhiksha Raj