数学:Mathematics

Gendai Shiso July 2020 Special Feature: The World of Sphere Theory — The Forefront of Modern Mathematics Reading Memo

Application of abstraction using sphere theory, an important theory in modern mathematics, to areas such as physics, computer science, biology, linguistics, and aesthetics.

2021.12.18

数理論理学

Topic Model Theory and Implementation

A topic model is a probability generation model for extracting topics from sentences, which is one of the natural language processing technologies used in digital transformation and artificial intelligence tasks.

2021.12.17

機械学習:Machine Learning確率・統計:Probability and Statistics自然言語処理:Natural Language Processing

Protected: Change detection by density ratio estimation – Detection of structural changes using the Kullback-Leibler density ratio estimation method

Detecting structural changes using the Kullback-Leibler density ratio estimation method for digital transformation and artificial intelligence tasks.

2021.12.17

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Protected: Anomaly detection by density ratio estimation – Anomaly Estimation from Unsupervised Data Using the Kullback-Leibler Density Ratio Estimation Method

Among the anomaly/change detection techniques used in digital transformation and artificial intelligence tasks, I will introduce a method for anomaly detection using probability density ratio for unsupervised data ,Kullback-Leibler density ratio estimation method

2021.12.16

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Protected: Anomaly detection using sparse structure learning- Graph models and regularization that link broken dependencies between variables to anomalies.

Graph models and regularization that link broken dependencies between variables to anomalies.

2021.12.15

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Protected: Change detection using subspace method -Singular spectral transform method for time series data

Singular spectral transform (SVD) method for extracting change points from time series data for digital transformation and artificial intelligence tasks.

2021.12.14

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Protected: Anomaly Detection by Gaussian Process Regression -Output anomaly detection for input, application to design of experiments

Detection of how much the output corresponding to the input is abnormal by Gaussian process regression, one of the most versatile methods of anomaly detection used in digital transformation and artificial intelligence tasks (application to design of experiments).

2021.12.13

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Turing’s Theory of Computation Overview and Reference Books and Neural Turing Machines

An introduction to Turing's theory of computation, the basic computer theory on which artificial intelligence technology is based.

2021.12.12

アルゴリズム:Algorithms情報理論/計算理論数理論理学:Mathematical logic

Protected: Anomaly Detection in Directional Data – Analysis Using Von Mises Fisher Distribution and Chi-Square

Explanation of a method that uses the von Mises Fisher distribution from directional data in anomaly detection technology used in digital transformation and artificial intelligence tasks.

2021.12.11

微分積分:Calculus推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics

Protected: Anomaly detection using support vector data description method-Biangulation problems and Lagrangian functions and data cleansing

Anomaly Detection and Data Cleansing Using Support Vector Description Method with Kernel Tricks for Digital Transformation and Artificial Intelligence Tasks

2021.12.10

推論技術:inference Technology最適化:Optimization機械学習:Machine Learning異常検知・変化検知確率・統計:Probability and Statistics