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View article: The Nature of Mathematical Modeling and Probabilistic Optimization Engineering in Generative AI
The Nature of Mathematical Modeling and Probabilistic Optimization Engineering in Generative AI Open
In this paper, we give an in-depth analysis on the mathematical problem formulations and the probabilistic optimization explorations for some of the key components in Transformer model [33] in the field of generative AI. We explore and dis…
View article: Analysis on Riemann Hypothesis with Cross Entropy Optimization and Reasoning
Analysis on Riemann Hypothesis with Cross Entropy Optimization and Reasoning Open
In this paper, we present a novel framework for the analysis of Riemann Hypothesis [27], which is composed of three key components: a) probabilistic modeling with cross entropy optimization and reasoning; b) the application of the law of l…
View article: Cross-Entropy Optimization for Hyperparameter Optimization in Stochastic Gradient-based Approaches to Train Deep Neural Networks
Cross-Entropy Optimization for Hyperparameter Optimization in Stochastic Gradient-based Approaches to Train Deep Neural Networks Open
In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great impa…
View article: Structure study of water in alcohol-water binary system based on Raman spectroscopy
Structure study of water in alcohol-water binary system based on Raman spectroscopy Open
The structure of water and the interaction between in the binary mixture of methanol-water and isopropanol-water at various mole fractions of alcohols were investigated by Raman spectroscopy. The results show that the tetrahedral hydrogen …