2024 Statistical data analysis

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Academic unit or major
Undergraduate major in Mechanical Engineering
Instructor(s)
Miura Satoshi 
Class Format
Lecture / Exercise    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
-
Group
-
Course number
MEC.B221
Credits
2
Academic year
2024
Offered quarter
3Q
Syllabus updated
2024/3/14
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

The Genearal Instrctuve Objective is to study the data processing method using statistics, optimzation and machine learning by the theoreotical and pratical method.

Student learning outcomes

The specific behavioral objectives of this course are as follows
To be able to understand, explain, and practice basic statistical processing for data variability.
To be able to understand, explain, and practice basic optimization calculations.
Understand, explain, and practice basic machine learning.

Keywords

Machine learning, AI, Statistics, Probability, Disperson, Data science, Deep learning, Artificial Intelligence, Optimization

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills
This course corresponds to the following learning objectives: 6. developmental expertise in mechanical engineering 7. the ability to utilize specialized knowledge to solve new problems and make creative proposals.

Class flow

After the lectures, students will connect to the Internet on their own PCs and practice programming. Please prepare for and review each lecture.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction Population and sample space, Bayes' theorem, etc.
Class 2 Data Variability Probability dispersion function, correlation coefficient
Class 3 Interpretation of Variation Probability distribution, mean and variance, central limit theorem
Class 4 Representative data and various probability distributions Binomial, Poisson, and normal distributions
Class 5 statistical testing methods Comparison of population means, significant differences, p-values, confidence intervals
Class 6 Data-based estimation methods Maximum Likelihood Estimation Method, Information Criterion and Model Selection Theory, etc.
Class 7 data modeling Generalized linear models, linear regression, logistic regression, etc.
Class 8 Optimized data visualization methods Dimensional Compression, Principal Component Analysis, MDS, other manifold learning
Class 9 clustering approach Hierarchical, group mean, etc., non-hierarchical, k-means, etc.
Class 10 Robust Estimation Methods Least squares, M-estimation, robust estimation using random numbers, etc.
Class 11 Developmental modeling using machine learning (1) From recent and advanced topics such as nonlinear models, Bayesian networks
Class 12 Developmental modeling using machine learning (2) From recent and advanced topics such as nonlinear models and neural networks
Class 13 Data science-aware research design, etc. DNN, CNN, RNN, GAN, Transfer learning
Class 14 Final Report Final Report
Class 15 -

Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

Distribute materials as needed.

Reference books, course materials, etc.

none

Assessment criteria and methods

Evaluation will be based on submissions in the form of reports.

Related courses

  • MEC.B231 : Probability Theory and Statistics
  • MEC.B232 : Fundamentals of Numerical Analysis
  • MEC.B201 : Fundamentals of information and mathematical sciences

Prerequisites (i.e., required knowledge, skills, courses, etc.)

This course is part of
B231.L "Probability and Statistics" and MEC.B232.L "Basic Numerical Methods
L "Probability and Statistics" and "Fundamental Numerical Methods".
L "Probability and Statistics" and the former MEC.
Students who entered before March 31, 2023 (~22B) cannot take this course if they have already earned credits in both "Probability and Statistics" and "Fundamental Numerical Methods".
1 credit of L (elective) and 1 credit of non-standard course if the student has already earned credits for either of the two subjects.
If the student has not earned both credits, 2 L (elective) credits
If both credits have not been earned, the credits will be converted at the rate of 2 L (elective) credits.

Other

MEC.B201 : Students should have taken Fundamentals of Informatics and Mathematics or have equivalent knowledge.

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