Special Courses

Special Courses

Department of Advanced Data Science Department of Fundamental Statistical Mathematics Department of Interdisciplinary Statistical Mathematics Common Courses
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Department of Advanced Data Science

Special Topics in Signal Processing / Shiro Ikeda / Professor

Basic theories of signal processing such as Fourier and wavelet transforms, principal component analysis and independent component analysis are explained. Practical examples will be given, using sound processing, image processing, biomedical measurement signals and astronomical data analysis as examples.

Special Topics in Statistical Modeling / Hideitsu Hino / Professor

The course will discuss the basics of the inference for un-normalized models and sparse modeling and its applications. Also, methodologies of formulating problems into "solvable" forms for various real-world problems are discussed.

Statistical Machine Learning / Kenji Fukumizu / Professor

Research work is directed on the methodology of statistical machine learning such as deep learning and kernel methods for analyzing large high-dimensional data. The course aims to provide students with knowledge of machine learning theory and methods, and the ability to apply machine learning methods to data analysis. The course will be conducted in the form of seminars, and students will be evaluated based on their presentations.

Application in Data Science / Ryo Yoshida / Professor

This course deals with various data analysis methods for practical applications, including statistical machine learning, deep learning, Bayesian inference, Python/R programming, etc., through several case studies including materials data analysis.

Bayesian Uncertainty Quantification for Engineering Applications / Stephen Wu / Associate Professor

Students will learn about the concept and implementation of uncertainty quantification for Bayesianinference of physical models. Examples of model comes from structural engineering, geotechnicalengineering, etc.

Topics in combinatorial optimization / Tasuku Soma / Associate Professor

Lectures or seminars on basic topics of combinatorial optimization and algorithm design will be given. The topics will include linear programming, matching, network flows, matroids, and submodular functions, but other topics may be covered depending on the interests of the students.

Nonlinear Optimization for Large-scale Machine Learning / Ching-pei Lee / Associate Professor

Lecture and research guidance on nonlinear optimization algorithm and analysis, with a focus on those suitable for real problems in large-scale machine learning

Department of Fundamental Statistical Mathematics

Systems Optimization / Satoshi Ito / Professor

This course is intended to serve an introduction to systems design and focuses on the theoretical aspects of mathematical optimization based on convex analysis, duality theory, numerical linear algebra, and functional analysis.

Special Topics in Modeling 2 / Yukito Iba / Professor

This course deals with advanced computational statistics with their applications. Examples are specialized topics in Markov Chain Monte Carlo, sequential Monte Carlo, bootstrap, and their applications in Bayesian statistics and model selection.

Survival Analysis / Takeshi Emura / Professor

Survival analysis deals with patients' and/or equipments' survival time data. When analyzing survival data, one typically entounters incompletely observed survival times that are censored or truncated. This type of survival data arises in a variety of fields, including medicine, reliability, ecology, insurance, economics, finance, and marketing. In this course, we study statistical models and inference methods based on survival data.

Bayesian Computation / Kengo Kamatani / Professor

The course covers some theoretical and methodological topics of Bayesian computation. Markov chain Monte Carlo methods are also covered.

Special Topics in Statistical Inference and Mathematics 2 / Satoshi Kuriki / Professor

One of the topics below will be chosen: (1) Distribution theory, asymptotic theory, statistical inference, (2) Gaussian random processes/fields, (3) Contingency table and graphical model, (4) Differential and integral geometric approach to statistics, (5) Algebraic statistics, (6) Random matrices, (7) Mathematics in statistics including convex analysis, combinatorics, and measure theory.

Basic theory of Point Processes / Zhuang Jiancang / Professor

This course is on the foundamental mathematical theory of point processes. It introduces basic concepts and theories related point processes, including random measures, Janossy measures, Janossy density, Campbell measure, moment measure, conditional intensity, Papangelou intensity, and Palm intensity. Its objectives include:
(1) To learn the point process theory from the viewpoint of modern probability theory. (2) To understand the theoretical relationship between each type of point processes.

Irregular Statistical Theory / Yoshiyuki Ninomiya / Professor

After outlining asymptotic theory for regular statistical models, asymptotic theory for locally conic models will be introduced and the geometric methods required in their evaluation will be explained. Alternatively, after outlining the basic methods for causal inference, semiparametric approaches using propensity scores will be introduced and information criteria for causal inference models will be explained. The goal of the lecture is to provide fundamentals and developments of statistical asymptotics or causal inference.

Statistical Inference / Hironori Fujisawa / Professor

This course introduces the estimation and testing of regression models with nonlinearities and related statistical theory as basic topics, and treats sparse modeling, robust statistics, missing data analysis, deivergence-based inference as advanced topics.

Stochastic Models / Shuhei Mano / Professor

This course discusses algebraic and combinatorial methods arising in stochastic computing for statistical inference around count data.

Parametric Statistical Model / Shogo Kato / Associate Professor

This course deals with either of the following two topics based on interests of students: (i) the theory of well-known probability distributions and related statistical models, or (ii) the theory of generalized linear models and its applications to real problems.

Mean Field Theory for Random System / Ayaka Sakata / Associate Professor

Students will learn the mean field theory for random systems: (1) how to analyze magnetic models (2) basic analytical methods

Special Topics in Statistical Inference and Mathematics 1 / Takaaki Shimura / Associate Professor

Probability theory is basic mathematics for statistical science. This course deals with mathematical topics that link to statistical applications.

Topics in Computational Mathematics / Mirai Tanaka / Associate Professor

This course deals with numerical algorithms in mathematical optimization and related areas. Specifically, we choose some topics in numerical algorithms for continuous optimization problems, matrix and eigenvalue problems, and so on, and discuss their mathematical foundations.

Longitudinal Data Analysis / Ikuko Funatogawa / Associate Professor

This course focus on the study of statistical models, such as linear mixed-effects models and their extensions, used in the longitudinal data analysis in which a response variable is measured repeatedly over time for multiple subjects. The course will also focus on the study of research designs, such as randomization, and on the study of statistical methods used in actual problems.

Convex Analysis and Conic Optimization / Bruno Figueira Lourenço / Associate Professor

In this course we will discuss the fundamentals of convex analysis such as separation theorems, subdifferential theory and several duality results. At the end, we will discuss some extensions and related topics. Alternatively, we might also discuss modelling and theoretical aspects of conic linear programs.

Topics of Statistical Inference / Masayuki Henmi / Associate Professor

We study the theory of semiparametric inference, its application and (or) some related topics. The standard knowledge of mathematical statistics and the basic mathematical skill on calculus, abstract linear algebra, metric space (or general topology) and probability theory are required.

Addvanced Spatial Statistics / Daisuke Murakami / Associate Professor

This lecture introduces statistical methods for spatial data and their applications. Specifically, methods in geostatistics, spatial econometrics, and relevant areas are introducesd together with their implementation with R.

Machine Learning for Statistical Natural Language Processing / Daichi Mochihashi / Associate Professor

This course deals with the basic probabilistic framework for statistical treatment of natural language and related discrete data. It will cover the basic statistical and computational methods necessary to understand the characteristics of high-dimensional discrete data.

High Dimensional Probability and Statics/ Keisuke Yano / Associate Professor

This course discusses topics in probability and statistics in higher and infinite dimensions.

Department of Interdisciplinary Statistical Mathematics

Special Course on Data Assimilation / Genta Ueno / Professor

This is a course of seminar and practice on sequential data assimilation methods or variational data assimilation methods. On the basis of the state-space model, students derive the sequential methods or the variational methods, and implement the procedure.

Special Topics in Environmental Statistics / Koji Kanefuji / Professor

The goal of this course is to provide students with the ability to understand and implement the various statistical methods used in environmental data analysis. Students will read the textbooks and attend lectures on specific topics.

Special Topics in Time Series Analysis / Yoshinori Kawasaki / Professor

After covering the basics of stationary time series models that were not fully covered in Introduction to Time Series and Spatial Modeling, causality analysis based on multivariate autoregressive (VAR) models, impulse responses, etc. will be covered. After introducing unit root tests, we will expand our understanding to cointegration models. With financial time series (rate of return data) in mind, the conditional heteroscedasticity models will be outlined. In addition, time-varying variance modeling will be discussed in relation to local stationary AR models and non-Gaussian filters. Computer exercises using R or R Shiny applications will be conducted once after every two or three lectures.

Statistical Computing / Shin'ya Nakano / Professor

Lectures on statistical computing using a parallel computer will be given in this course. In particular,the following subjects will be discussed: problems which requires huge matrices,the particle filter using a parallel computer,and implementation of the ensemble Kalman filter on a parallel computer.

Special Topics in Biostatistics / Hisashi Noma / Professor

This course deals with recent relevant topics on biostatistics, especially, (i) Biostatistical methodology on clinical and epidemiologic studies, (ii) Designs and analyses of clinical trials, (iii) Evidence synthesis methods, and (iv) statistical analyses of large-scale genomic data.

Multimedia Information Processing / Tomoko Matsui / Professor

The digital age has fostered the broadcasting of an ever increasing quantity of complex multimedia documents, be it through the internet or more versatile electronic channels. These evolutions have called for new tools and technologies to classify and analyze multimedia contents. We study in this course algorithms which are useful for these tasks.

Information Security / Kazuhiro Minami / Professor

This course covers major privacy-preserving techniques such as anonymization, differential privacy, and statistical disclosure control, which realize safe analysis of big data. We also cover topics on machine learning security with emphasis on empirical evaluation methods.

Financial Statistics / Satoshi Yamashita / Professor

Concrete cases will be presented and research lectures will be given on theoretical methodologies for quantification of credit risk, risk assessment of financial markets, and investment strategies. In particular, students will acquire practical knowledge of statistical models that are consistent with relevant laws and regulations such as the Basel Accord and corporate accounting, forecasting using stochastic processes and time-series models, and risk assessment through the use of actual data.

Applied Probability / Atsushi Yoshimoto / Professor

In this lecture, we will outline the basics of stochastic processes, including Poisson processes, random walks, and Brownian motion, while showing examples of applications of stochastic processes. In addition, we will explain the mathematical economic analysis of resource management risks by applying macro-renewable resource supply forecasting and option theory, targeting renewable resources such as forests.

Genomic Data Analysis / Jun Adachi / Associate Professor

This course deals with data analysis of genetic information by applying the methods of statistical science. To infer the phylogenetic relationships of organisms, we compare homologous genes between organisms. Explanations and exercises will be given on how to construct a model for that purpose and maximum likelihood estimation of phylogenetic trees.

Stochastic Modeling / Shinsuke Koyama / Associate Professor

This course provides an introduction to stochastic processes, with their applications to real-world situations. This course covers elementary stochastic processes such as Gaussian, Poisson, Markov and renewal processes.

Spatial Statistics and Stochastic Geometry / Kenichiro Shimatani / Associate Professor

In this course, I will lecture spatial modeling for spatial data such as geostatistics, lattice model, directional statistics, and spatial point process, as well as random partitioning and random packing. Unlike the generalized linear model and its related statistics, a likelihood of a spatial model is not a simple product over independent data, which is one of essences for spatial modeling.

Special Topics in Modeling 1 / Yumi Takizawa / Associate Professor

Shannon's information theory is lectured as a basic theory for analysis of information sources. The amount of information, entropy, and communication sysytems are discussed. And actual radio communication systems are lectured.

Survey Design / Yoosung Park / Associate Professor

This course covers systematic explanations of practical methodologies of survey design for organizations or regions.

Topics in Sampling Theory / Tadahiko Maeda / Associate Professor

The course will cover the design of data collection, with a focus on sample survey methods, and statistical inference under that design. The goal is to deepen understanding of the importance of the design stage in the research process.

Complex Systems Analysis / Fumikazu Miwakeichi / Associate Professor

The lecture will discuss deterministic and probabilistic approaches to time series data analysis and modeling. In addition, students take turns reading books and papers about detecting significant signals, spatial correlations, and causality in time series data.

Differential Privacy / Takao Murakami / Associate Professor

This course deals with differential privacy (DP), which is known as a de facto standard privacy notion for privacy protection. We first study some basic topics, such as the privacy properties of DP, the Laplace and exponential mechanisms, the composition theorems, and the SVT (Sparse Vector Technique). Then, we study more advanced topics, such as various extensions/variants of DP, the local model, and the shuffle model.

Common Courses

Statistical Science Study 1-10 / All the teaching staff of Department of Statistical Science

This is a general research course of statistical science. Students are requested to present progress of their research by giving seminars and talks.

Statistical Mathematics Seminar 1-5 / All the teaching staff of Department of Statistical Science

This is a general course of statistical science. Students are requested to attend the statistical mathematics seminar held at the institute of statistical mathematics to learn various recent developments in statistical science.