Results 181 to 190 of about 93,670 (235)
Study on an improved Lie Group machine learning-based classification algorithm
2020 IEEE 3rd International Conference of Safe Production and Informatization (IICSPI), 2020 In order to address the problem that the geodesic distance of Lie Group machine learning method has failed to use the sample class information, this paper proposes an improved Lie Group machine learning algorithm. Firstly, this algorithm maps the vector space consisting of sample dataset into a differential manifold, and each sample corresponds to a ...
Minfeng Zhang, Wang Xu
semanticscholar +3 more sources
Research of the Symplectic Group Classifier Based on Lie Group Machine Learning
Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), 2007 This paper describes the theories of symplectic group based on the basic conceptions and theory framework of lie group machine learning (LML), it implements the constructor of symplectic classifier in Lie group machine learning (LML), along with the descriptions of the correlated problems.
Huixin Fu, Fanzhang Li
semanticscholar +3 more sources
Coding & Statistical Characterization of Radar Signal Fluctuation for Lie Group Machine Learning
2019 International Radar Conference (RADAR), 2019 This paper describes new geometrical approaches to define the statistics of spatio-temporal measurements of the states of an electromagnetic wave, by using the notion of "average" state of this digital measurement as a Frechet barycenter in a metric space to define and calculate a maximum entropy density (extension of the notion of Gaussian) to ...
Frédéric Barbaresco
semanticscholar +3 more sources
Journal of Intelligent Manufacturing, 2020 Due to the improvement of network infrastructure and the application of Internet of Things equipment, a large number of sensors are deployed in the industrial pipeline production, and the large size of data is generated. The most typical case in the production line is product inspection, that is, defect inspection.
Chengjun Xu, Guobin Zhu
semanticscholar +3 more sources
International Conference on Geometric Science of Information, 2019 In 1969, Jean-Marie Souriau has introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines thanks to cohomology (non ...
Frédéric Barbaresco
semanticscholar +3 more sources
A Method Based on Lie Group Machine Learning for Multivariate Time-Series Clustering
2024 6th International Conference on Data-driven Optimization of Complex Systems (DOCS)A multivariate time series (MTS) is a data series formed from observations of multiple variables at multiple time points, which may exhibit interdependencies and temporal dependencies.
Yini Huang, Xiaopeng Luo
semanticscholar +3 more sources
Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups
International Conference on Geometric Science of Information, 2019 Jean-Marie Souriau extended Urbain Jean Joseph Leverrier algorithm to compute characteristic polynomial of a matrix in 1948. This Souriau algorithm could be used to compute exponential map of a matrix that is a challenge in Lie Group Machine Learning.
Frédéric Barbaresco
semanticscholar +3 more sources
1. Lie group machine learning model
Lie Group Machine Learning, 2018 Fanzhang Li, Li Zhang, Zhao Zhang
semanticscholar +3 more sources
Survey on Lie Group Machine Learning
Chinese Journal of Computers, 2010 Fan-Zhang LI, Shu-Ping HE, Xu-Pei QIAN
semanticscholar +3 more sources