1. Modeling, Simulation, and Optimization in Data Science

Group leader: Ph.D. Nguyen Thi Ngoc Anh

Contact: Ph.D. Tran Ngoc Thang

Email: thang.tranngoc@hust.edu.vn

Phone: 034 896 2137

Members

  • Ph.D. Nguyen Thi Ngoc Anh
  • Ph.D. Nguyen Tien Thanh
  • Ph.D. Tran Ngoc Thang
  • M.S. Le Kim Thu
  • M.S. Tran Thi Hue

Introduction

Modeling, Simulation and Optimization in Data Science

Key research directions

Modeling, Simulation, and Optimization in Data Science

2. Data Science, Machine Learning and Soft Computing Methods

Group leader: Ph.D. Le Chi Ngoc

Contact: Ph.D. Le Chi Ngoc

Email: lechingoc@yahoo.com

Phone: 043 8692137

Members

  • Ph.D. Le Chi Ngoc
  • Ph.D. Nguyen Tien Thanh
  • Ph.D. Nguyen Thi Ngoc Anh
  • M.S. Le Kim Thu

Associate 

  • Prof. Dr.Sc Bui Cong Cuong, Optimization and Control Department, Institute of Mathematics, Vietnam
  • Ph.D. Le Hoang Son, Faculty of Mathematics, Mechanics and Informatics, VNU University of Science
  • M.S. Pham Hong Phong, Faculty of Information Technology, Hanoi University of Civil Engineering
  • M.S. Roan Thi Ngan, Faculty of Basic Science, Hanoi University of Natural Resources and Environment

Introduction

Data science is an interdisciplinary field of study that includes processes and systems for extracting knowledge from data in both structured and unstructured forms. Data science includes many aspects of data analysis such as statistics, machine learning, data mining and predictive analytics. Data science uses techniques and theories from a variety of fields such as operational research, information science, computer science, including signal processing, probability modeling, statistical learning, databases, pattern recognition, visual description, fuzzy logic, data warehousing, artificial intelligence, decision support systems, business intelligence. Methods towards big data are of particular interest to data science. Data science has many applications in life such as machine translation, speech recognition, handwriting, search engines, biomedical, healthcare, social and economic sciences, finance, insurance. .

The development of machine learning has contributed significantly to the development of data science. Machine learning is an area of ​​computer science that provides computers with the ability to learn through data and experience without requiring explicit programming. As a field of data analysis, machine learning is a method that allows building complex models and algorithms to find hidden knowledge within data to support decision making and business processes. Smart business.

Due to the problems of computational complexity on large data, precise methods for finding solutions are not feasible. From that lead to the research on soft computing. Soft computing is an area of ​​computer science that provides approximate solutions to complex computational problems such as problems in the NP-hard class or problems with large input sizes leading to Algorithms for exact solutions are not feasible in terms of time or problems for which the input data cannot be accurately described. Soft computing uses methods that accept the approximation of the solution and also the ambiguity such as fuzzy logic, neural networks, evolutionary computation and other Metaheuristics methods.

Key research directions

    • Machine learning and data mining
    • Big data and data warehouse
    • Decision support system and business intelligence
    • Fuzzy System and Fuzzy Logic
    • Neural Network
    • Meta Heuristics and Other Soft Computational Methods
    • Applications of machine learning, data mining and soft computing in transportation, medicine, remote sensing image analysis, land use, weather forecasting, cybernetics, web data analytics, Business data analysis, market investigation, risk analysis, financial forecasting, securities, customer relations, biology…

3. Discrete Mathematics

Group leader: Ph.D. Le Chi Ngoc

Contact: Ph.D. Le Chi Ngoc

Email: lechingoc@yahoo.com

Phone: 043 8692137

Members

  • Ph.D. Le Chi Ngoc
  • Ph.D. Le Dinh Nam
  • Ph.D. Vu Thanh Nam
  • Ph.D. Nguyen Canh Nam
  • Ph.D. Nguyen Quang Thuan
  • M.S. Doan Duy Trung

Associate

  • Assoc. Prof. Ph.D. Phan Thi Ha Duong, Mathematical Foundations of Informatics Department, Institute of Mathematics, Vietnam
  • Prof. Ph.D. Ngo Dac Tan, Mathematical Foundations of Informatics Department, Institute of Mathematics, Vietnam
  • Ph.D. Ta Anh Son, National Foundation for Science and Technology Development

Introduction

Discrete math deals with discrete mathematical structures such as integers, graphs, and logical statements. Discrete math is concerned with sets that are finite or not too countable. Discrete math studies play a fundamental role for research in computer science such as algorithms, programming languages, coding, etc. Moreover, discrete math also plays an important role in research. From theory such as combinatorial optimization, discrete probability, computer algebra to applied problems such as applications in transportation, environment, health,…

Key research directions

      • Combinatorics and number theory
      • Computer Algebra and Combinatorics
      • Graph theory and network theory
      • Combinatorial optimization and approximation algorithms
      • Applications of discrete math in fields such as security, topology optimization, scheduling problems, transportation, healthcare, …

4. Calculus

Group leader: Assoc. Prof. Ph.D. Nguyen Xuan Thao

Contact: Assoc. Prof. Ph.D. Nguyen Xuan Thao

Email: thao.nguyenxuan@hust.edu.vn

Phone: 043 8692137

Members

  • Assoc. Prof. Ph.D. Nguyen Xuan Thao
  • Ph.D. Nguyen Minh Khoa, Electric Power University
  • Ph.D. Trinh Tuan, Electric Power University
  • Ph.D. Nguyen Thanh Hong, Hanoi University of Education
  • Ph.D. Nguyen Huu Tho, Thuyloi University

Associate

  • Assoc. Prof. Ph.D. Nguyen Canh Luong, Hanoi University of Science and Technology
  • Ph.D. Tran Xuan Tiep, Hanoi University of Science and Technology
  • Ph.D. Ha Binh Minh, Hanoi University of Science and Technology
  • Ph.D. Phan Xuan Thanh, Hanoi University of Science and Technology
  • Ph.D. Doan Cong Dinh, Hanoi University of Science and Technology
  • Ph.D. Nguyen Ngoc Doanh, Hanoi University of Science and Technology
  • Prof. Dr.Sc Nguyen Manh Hung, National Academy of Education Management
  • Assoc. Prof. Ph.D. Dinh Thanh Duc, Quy Nhon University
  • Assoc. Prof. Ph.D. Khuat Van Ninh, Xuan Hoa University of Education
  • Assoc. Prof. Ph.D. Nguyen Anh Tuan, HCM University of Education
  • Prof. Dr.Sc Vu Kim Tuan, University of West Georgia, USA
  • Prof. Dr.Sc Virchenko N. A., National Technical University of Ukraine

5. Optimization theory and applications

Group leader: Assoc. Prof. Ph.D. Nguyen Thi Bach Kim

Contact: Ph.D. Ta Anh Son

Email: son.taanh@hust.edu.vn

Phone: 098 976 0088

Members

  • Assoc. Prof. Ph.D. Nguyen Thi Bach Kim
  • Ph.D. Le Quang Thuy
  • Ph.D. Nguyen Quang Thuan
  • Ph.D. Nguyen Canh Nam
  • Ph.D. Ta Anh Son
  • Ph.D. Do Duc Thuan
  • Ph.D. Tran Ngoc Thang
  • Ph.D. Pham Thi Hoai
  • M.S. Doan Duy Trung
  • B.S. Bui Van Chung

Associate

  • Prof. Dr.Sc Dinh The Luc, Universite D’Avignon, France
  • Prof. Dr.Sc Le Dung Muu, Institute of Mathematics
  • Prof. Dr.Sc Pham Huy Dien, Institute of Mathematics
  • Prof. Dr.Sc Nguyen Khoa Son, Institute of Mathematics
  • Prof. Dr.Sc Pham Dinh Tao, Institut National des Sciences Appliquées Rouen, France
  • Prof. Dr.Sc Le Thi Hoai An, Université de Lorraine, France
  • Prof. Ph.D Tran Vu Thieu, Institute of Mathematics
  • Assoc. Prof. Ph.D. Pham Ngoc Anh, Posts and Telecommunications Institute of Technology
  • Ph.D. Tran Duc Quynh, Vietnam University of Agriculture

Introduction

Optimization theory is a strongly developed mathematical discipline and has many applications in basic science as well as in many practical fields such as economics, finance, biomedical, electronics, telecommunications, and transportation. communication, resource management, etc. Along with theoretical research, the study of applying mathematics to analyze and solve problems arising from practice is always a topical issue.

The research group “Optimization theory and applications” was established to promote scientific research activities of the School of Applied Mathematics and Informatics. The members of the group are mainly young doctors who are capable and passionate about scientific research. The main purposes of the group are:

  • Create an academic environment, research cooperation among team members, as well as scientific research links with domestic and foreign mathematicians and research institutions
  • Building a team of lecturers with strong expertise in mathematical planning, meeting research requirements as well as training human resources for this important field of ​​mathematics.
  • Create a link between teaching mathematics with research and application of mathematics.

Key research directions

    • Optimal control
    • Multi-objective optimization and related problems
    • Non-convex optimization
    • Discrete Optimization
    • D.C. Optimization

6. Differential Equations and Applications

Group leader: Assoc. Prof. Dr.Sc Nguyen Thieu Huy

Contact: Assoc. Prof. Dr.Sc Nguyen Thieu Huy

Email: huy.nguyenthieu@hust.edu.vn

Phone: 0438692137

Members

  • Assoc. Prof. Dr.Sc Nguyen Thieu Huy
  • Ph.D. Vu Thi Ngoc Ha
  • Ph.D. Phan Xuan Thanh
  • Ph.D. Tran Xuan Tiep

Introduction

Differential and partial differential equations arise from diverse natural/engineering systems, such as diffusion systems, signal processing systems, control systems, population ecology,…

Recently, due to the rapid changes in the nature and scale of such systems, it is necessary to combine different methods and approaches based on recent developments in mathematics to explore the problem of the nature of those systems through their mathematical equations and solutions. At the School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, a number of methods and approaches have been researched and developed. Specifically, the method of using one-parameter half-group theory and acceptable function spaces, invariant manifolds, inertial manifolds and the principle of reduction of partial differential equations (by Assoc. Prof. Dr. Nguyen) Thieu Huy, Dr. Vu Thi Ngoc Ha and colleagues developed), inverse problem for diffuse flow, Tykhonov correction, approximation of solutions by finite element method and boundary element method (Dr. Phan Xuan Thanh). Our research team was formed to combine the differential equation researchers of Hanoi University of Science and Technology with diverse and complementary approaches to achieve the common goal of finding the qualitative and approximation properties of differential equation solutions lead to applications in specific systems such as diffusion equations, equations of fluid mechanics, functional equations, mathematical problems. inverse, optimal edge control for diffuse flows…

Key research directions

    • Linear and nonlinear differential equations in Banach space, applied to diffusion and partial differential equations
    • Semi-linear partial differential equations, non-autonomous Cauchy problems, invariant manifolds and asymptotic behavior of evolutionary equations, inertial manifolds and reduction principles on inertial structures
    • Inverse heat transfer problems, problems determining coefficients in partial differential equations, optimal boundary control problems for diffuse flows.

7. Applied mathematical models in complex systems

Group leader: Ph.D. Nguyen Thi Ngoc Anh

Contact: Ph.D. Nguyen Thi Ngoc Anh

Email: anh.nguyenthingoc@hust.edu.vn

Phone: 043 8692137

Members

  • Nguyen Thi Ngoc Anh
  • Ta Thi Thanh Mai
  • Nguyen Phuong Thuy
  • Le Kim Thu
  • Tran Thi Kim Oanh

Associate

  • Alexis Drogoul, IRD, France
  • Jean Daniel Zucker, IRD, France
  • Nguyen Nhi Gia Vinh, Can Tho University
  • Nguyen Ngoc Doanh, Thuyloi University
  • Nguyen Thanh Tung, Thuyloi University
  • Dang Thi Thu Hien, Thuyloi University
  • Nguyen Thi Thuy, Vietnam National University of Agriculture
  • Nguyen Tuan Anh, Vietnam National University of Agriculture
  • Doan Thi Thuy, Soils and Fertilizers Research Institute
  • Nguyen Trong Khanh, Posts and Telecommunications Institute of Technology
  • Dinh Thi Hai Van, Vietnam National University of Agriculture
  • Mai Van Trinh, Vietnam Institute for Agricultural Environment

Introduction

The research and development of applied mathematical models in the natural, social and life sciences have been developing strongly in the world. On the one hand, by studying models, we have a better understanding and therefore better rules of behavior with the complex systems of interest to us. On the other hand, theoretical studies aimed at developing mathematical and informatics tools are also required due to the requirement of studying complex models in reality.

The research group “Applied mathematical models in complex systems” was established to build, research and develop several applied mathematical models in complex systems. Currently, we are interested in natural systems such as transportation systems, irrigation systems, brown planthoppers, etc. In addition, we are also interested in other complex systems such as mixed traffic systems. case, disease transmission system,…

Key research directions

    • Studying the influence of the behaviors of individuals on the dynamics of the entire population or community.
    • Research optimal control problems in specific models.
    • Study the qualitative properties of the model from which to draw conclusions for the system.

8. Mathematics and Informatics Theory and Applications

Group leader: Ph.D. Vu Thanh Nam

Contact: Ph.D. Vu Thanh Nam

Email: nam.vuthanh@hust.edu.vn

Phone: 043 8692137

Members

  • Ph.D. Vu Thanh Nam
  • Ph.D. Nguyen Thi Thanh Huyen
  • Ph.D. Nguyen Huy Truong
  • M.S. Le Quang Hoa
  • Ph.D. Ngo Thi Hien

Associate

  • Prof. Dr.Sc Do Long Van, Mathematical Foundations of Informatics Department, Institute of Mathematics, Vietnam
  • Prof. Dr.Sc Le Hung Son, Hanoi University of Science and Technology
  • Prof. Ph.D. Ngo Dac Tan, Mathematical Foundations of Informatics Department, Institute of Mathematics, Vietnam
  • Assoc. Prof. Ph.D. Bui Cong Cuong, Mathematical Foundations of Informatics Department, Institute of Mathematics, Vietnam
  • Ph.D. Kieu Van Hung, Office of the Government
  • Ph.D. Ho Ngoc Vinh, Vinh University of Technology Education
  • Ph.D. Nguyen Dinh Han, Hung Yen University of Technology and Education

Introduction

Mathematics – Informatics is an interdisciplinary research direction, involving many fields, such as Mathematics, Informatics, Electronics, Physics, Biology… Different from Applied Mathematics, or Computer Science, specific to Mathematics – Informatics is Theoretical Computer Science (TCS), including theoretical basis of Computation such as Formal Languages ​​and Automat, Mathematical Logic, Informatics-Algebra, Combinatorics, Code Theory Chemistry, Formal Language Classification, Scientific Calculus,… are not in Applied Mathematics or Computer Science.

The main objective of the study of Mathematics – Informatics is to analyze and build a mathematical foundation for informatics, both in theory and in applied and computational software. The knowledge of Mathematics – Informatics covers many types of theories in a very wide spectrum, such as: the field of formal computation, scientific computing, encryption, information security, error correction codes, formal dynamics, mathematical basis of game theory, unsolvable problems such as “P versus NP” (one of the 7 problems of the millennium, strategic in both theory and application), model non-traditional new theoretical computations such as quantum computing, biological computing,…

The problems that Mathematics – Informatics scientists study are not only applications, but also include very theoretical problems of formal computation, requiring deep research ahead, which are technology-oriented later, like Hilbert’s 10th Problem, Problem P versus NP – one of the 7 problems of the millennium, quantum computing, manifold theory of languages, and code theory (wider than cryptography) in Informatics – Algebra.

Key research directions

    • Code theory, cryptography, hiding and information security
    • Automats and algorithms
    • Pattern search and natural language processing
    • Algebraic informatics – problems of finite group predicate manifold theory and linguistic manifolds
    • Simulation and scientific computation in parallel and sequential environments
    • Geometric processing and application in the fields of teaching, entertainment, biomedicine, materials science, computer science,…