微分積分:Calculus

アルゴリズム:Algorithms

Protected: Foundations of Measure Theory for Nonparametric Bayesian Theory

Foundations of measure theory for nonparametric Bayesian theory (independence of random measures, monotone convergence theorem in Laplace functionals, propositions valid with probability 1, Laplace transform of probability distribution, expectation computation by probability distribution, probability distribution, monotone convergence theorem, approximation theorem by single functions, single functions, measurable functions using Borel set families, Borel sets, σ-finite measures, σ-additive families, Lebesgue measures, Lebesgue integrals)
アルゴリズム:Algorithms

Protected: Calculation of Gaussian processes (1) Calculation by the auxiliary variable method

Approximate computation of Gaussian process models, an application of stochastic generative models utilized in digital transformation, artificial intelligence, and machine learning tasks, using the partial data method and the auxiliary variable method
Clojure

Probabilistic Programming with Clojure

Probabilistic programming with Clojure.Anglican utilized for digital transformation, artificial intelligence, and machine learning tasks gorilla-repl, Stan, BUGS, Picture, Turing, Gen, PyStan PyMC, pomegranater, Lea, bayesloop, Edward, Tensorflow Probability, Pyro, BLOG, Dyna, ProbLog, Church, Anglican, Distributions
Symbolic Logic

Modeling that combines probability and logic (2) PLL (Probabilistic Logical Learning)

Fusion modeling of probability and logic Probabilistic Logical Learning, ILP, PRISM used for digital transformation, artificial intelligence, and machine learning tasks.
アルゴリズム:Algorithms

Protected: Replica Exchange Monte Carlo and Multicanonical Methods

On replica exchange Monte Carlo and multi-canonical methods, which are algorithms to avoid falling into local solutions in Markov chain Monte Carlo methods used for digital transformation, artificial intelligence, and machine learning tasks.
アルゴリズム:Algorithms

Protected: Application of Variational Bayesian Algorithm to Mixed Gaussian Distribution Models

Application of variational Bayesian algorithms to mixed Gaussian distribution models for the computation of stochastic generative models utilized in digital transformation, artificial intelligence, and machine learning tasks (Dirichlet distribution, isotropic Gaussian distribution, free energy calculation)
アルゴリズム:Algorithms

Protected: Specific examples of graphical models

Computation of specific graphical models such as Boltzmann Machines, Mean Field Approximation, Bethe Approximation, Hidden Markov Models, Bayesian Hidden Markov Models, etc. as probabilistic generative models utilized in digital transformation, artificial intelligence and machine learning tasks.
アルゴリズム:Algorithms

Protected: Nonparametric Bayesian Applications to Factor Analysis and Sparse Modeling

Nonparametric Bayesian models, one of the applications of probabilistic generative models utilized in digital transformation, artificial intelligence, and machine learning tasks, for factor analysis and sparse modeling (infinite latent feature model, beta-Bernoulli distribution model, Indian cuisine buffet process, binary matrix generation process)
アルゴリズム:Algorithms

Protected: Stochastic Generative Models and Gaussian Processes(3) Representation of Probability Distributions

Stochastic generative models utilized in digital transformation, artificial intelligence, and machine learning tasks and representation of probability distributions in samples as a basis for Gaussian processes ,weighted sampling, kernel density estimation, distribution estimation using neural nets
Clojure

Implementation of a Bayesian optimization tool using Clojure

Introduction of Clojure implementation of Bayesian optimization tool, a (hyperparameter) optimization tool used for digital transformation (DX), artificial intelligence (AI), and machine learning (ML) tasks, and opimx, an optimization comparison tool in R.
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