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We propose a Parton Distribution Function (PDF) fitting technique which is based on an interactive neural network algorithm using Self-Organizing Maps (SOMs). SOMs are visualization algorithms based on competitive learning among…

High Energy Physics - Phenomenology · Physics 2016-04-26 H. Honkanen , S. Liuti

We describe a class of cellular automata (CAs) that are end-to-end differentiable. DCAs interpolate the behavior of ordinary CAs through rules that act on distributions of states. The gradient of a DCA with respect to its parameters can be…

Discrete Mathematics · Computer Science 2017-09-01 Carlos Martin

The density classification (DC) task, a computation which maps global density information to local density, is studied using one-dimensional non-unitary quantum cellular automata (QCAs). Two approaches are considered: one that preserves the…

Quantum Physics · Physics 2025-01-22 Elisabeth Wagner , Federico Dell'Anna , Ramil Nigmatullin , Gavin K. Brennen

Canonical correlation analysis (CCA) is a technique for finding correlations between different data modalities and learning low-dimensional representations. As fairness becomes crucial in machine learning, fair CCA has gained attention.…

Machine Learning · Computer Science 2025-10-02 Bojian Hou , Zhanliang Wang , Zhuoping Zhou , Boning Tong , Zexuan Wang , Jingxuan Bao , Duy Duong-Tran , Qi Long , Li Shen

The Catani--Seymour dipole subtraction is a general and powerful procedure to calculate the QCD next-to-leading order corrections for collider observables. We clearly define a practical algorithm to use the dipole subtraction. The algorithm…

High Energy Physics - Phenomenology · Physics 2015-11-30 K. Hasegawa

For distributed sensor/relay networks, high reliability and power efficiency are often required. However, several implementation issues arise in practice. One such problem is that all the distributed transmitters have limited power supply…

Information Theory · Computer Science 2015-08-05 Po-Chun Fu , Pei-Rong Li , Li-Ming Wei , Chang-Lin Chen , Che Lin

Blind source separation algorithms such as independent component analysis (ICA) are widely used in the analysis of neuroimaging data. In order to leverage larger sample sizes, different data holders/sites may wish to collaboratively learn…

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

Neural and Evolutionary Computing · Computer Science 2020-05-14 Karan Nayak

Recently, two-dimensional canonical correlation analysis (2DCCA) has been successfully applied for image feature extraction. The method instead of concatenating the columns of the images to the one-dimensional vectors, directly works with…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Mehran Safayani , Seyed Hashem Ahmadi , Homayun Afrabandpey , Abdolreza Mirzaei

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Unsupervised anomaly detection encompasses diverse applications in industrial settings where a high-throughput and precision is imperative. Early works were centered around one-class-one-model paradigm, which poses significant challenges in…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Sushovan Jena , Vishwas Saini , Ujjwal Shaw , Pavitra Jain , Abhay Singh Raihal , Anoushka Banerjee , Sharad Joshi , Ananth Ganesh , Arnav Bhavsar

Rapid advancements in deep learning over the past decade have fueled an insatiable demand for efficient and scalable hardware. Photonics offers a promising solution by leveraging the unique properties of light. However, conventional neural…

The present paper attempts to generate visual clustering and data extraction of cell formation problem using both principal component analysis (PCA) and self organizing map (SOM) from input of sequence based machine-part incidence matrix.…

Adaptation and Self-Organizing Systems · Physics 2012-03-21 Manojit Chattopadhyay , Pranab K. Dan , Sitanath Majumdar

We propose using Probabilistic Cellular Automata (PCA) to address inverse problems with the Bayesian approach. In particular, we use PCA to sample from an approximation of the posterior distribution. The peculiar feature of PCA is their…

Computation · Statistics 2026-03-24 Danilo Costarelli , Michele Piconi , Alessio Troiani

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

Stochastic algorithms are well-known for their performance in the era of big data. In convex optimization, stochastic algorithms have been studied in depth and breadth. However, the current body of research on stochastic algorithms for…

Optimization and Control · Mathematics 2021-08-06 Hoai An Le Thi , Hoang Phuc Hau Luu , Tao Pham Dinh

Sequence alignment algorithms are a basic and critical component of many bioinformatics fields. With rapid development of sequencing technology, the fast growing reference database volumes and longer length of query sequence become new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-09 Bo Xu , Changlong Li , Hang Zhuang , Jiali Wang , Qingfeng Wang , Jinhong Zhou , Xuehai Zhou

This paper introduces Differentiable Logic Cellular Automata (DiffLogic CA), a novel combination of Neural Cellular Automata (NCA) and Differentiable Logic Gates Networks (DLGNs). The fundamental computation units of the model are…

Artificial Intelligence · Computer Science 2025-06-06 Pietro Miotti , Eyvind Niklasson , Ettore Randazzo , Alexander Mordvintsev

Combining RGB images and the corresponding depth maps in semantic segmentation proves the effectiveness in the past few years. Existing RGB-D modal fusion methods either lack the non-linear feature fusion ability or treat both modal images…

Image and Video Processing · Electrical Eng. & Systems 2022-10-18 Lizhi Bai , Jun Yang , Chunqi Tian , Yaoru Sun , Maoyu Mao , Yanjun Xu , Weirong Xu

Correspondence analysis (CA) is a popular technique to visualize the relationship between two categorical variables. CA uses the data from a two-way contingency table and is affected by the presence of outliers. The supplementary points…

Methodology · Statistics 2026-01-05 Qianqian Qi , David J. Hessen , Aike N. Vonk , Peter G. M. van der Heijden
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