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 NPhard 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
 Multiobjective optimization and related problems
 Nonconvex 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 oneparameter halfgroup 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
 Semilinear partial differential equations, nonautonomous 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, InformaticsAlgebra, 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 nontraditional 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 technologyoriented 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,…