Before the advent of computers around 1950, optimization centered either on small-dimensional problems solved by looking at zeroes of first derivatives and signs of second derivatives, or on infinite-dimensional problems about curves and surfaces. In both cases, "variations" were employed to understand how a local solution might be characterized. Computers changed the picture by opening the possibility of solving large-scale problems involving inequalities, instead of only equations. Inequalities had to be recognized as important because the decisions to be optimized were constrained by the need to respect many upper or lower bounds on their feasibility. A new kind of mathematical analysis, beyond traditional calculus, had to be developed to address these needs. It built first on appealing to the convexity of sets and functions, but went on to amazingly broad and successful concepts of variational geometry, subgradients, subderivatives, and variational convergence beyond just that. This talk will explain these revolutionary developments and why there were essential.
Event date: 1/11/2022
Speaker: Prof. Terry Rockafellar (University of Washington)
Hosted by: Department of Applied Mathematics
Geospatial information science is a discipline that focuses on using geospatial information technology to understand people, places, nature and processes of the earth. IoT refers to Internet of things, the combination of sensors, software and other technologies to connect and exchange data with other devices and systems over the Internet. The era of IoT brings us opportunities and challenges for geospatial information science. In the keynote, five characteristics and three scientific issues of geo-spatial information science in the era of IoT are summarised.
Even date: 6/9/2022
Speaker: Prof. Daren Li
Moderator: Prof. Christopher Chao (Hong Kong Polytechnic University)
Panel members: Prof. Qingyan Chen, Prof. Qinhao Chen (Hong Kong Polytechnic University)
Hosted by: PolyU Academy for Interdisciplinary Research
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first review some recent development for adaptive methods with some application. Then, we will propose a deep adaptive sampling method for solving PDEs where deep neural networks are utilized to approximate the solutions. In particular, we propose the failure informed PINNs (FI-PINNs), which can adaptively refine the training set with the goal of reducing the failure probability. Compared with the neural network approximation obtained with uniformly distributed collocation points, the proposed algorithms can significantly improve the accuracy, especially for low regularity and high-dimensional problems.
Event date: 18/10/2022
Speaker: Prof. Tao Tang (Beijing Normal University-Hong Kong Baptist University United International College)
Hosted by: Department of Applied Mathematics
The course describes the theoretical underpinnings of USR. It showcases some effective practices and activities carried out in institutions around the world. The course also promotes understanding of the USR concept, its implications, impacts, evaluation, possible implementation methods, and replicability. In doing so, it contributes to the expansion and consolidation of the USR movement. It provides a knowledge base for designing, planning, implementing, and evaluating programs from the fundamentals of USR and some existing good practices.
No prior knowledge is required to join the course. This course is for you especially if you are an administrator, a professor, or a professional staff member interested in learning new creative ways from the experts' at the universities to address the needs of society including SDGs (Sustainable Development Goals). If you are a government official or a foundation representative seeking ways to strengthen higher education, this course will help you explore future opportunities and directions.
Did you know that frailty can affect the quality of life of older people? Did you know that frailty can impose a burden on the significant others of older people? If you are a member of the general public and would like to know about the prevention of frailty and the promotion of healthy ageing, or if you are a healthcare professional who would like to provide the best care for older people and family members in order to combat frailty, this course is for you. The aim of this course is not only to provide theoretical knowledge about frailty, but also to give practical input to help our learners become familiar with frailty and how to manage it. Frailty is a common condition among older people. It is associated with ageing, which is a trend that is becoming a major concern around the globe. Frailty is not only costly in terms of medical expenses, but also imposes a mental and financial burden on the family members of older people with the condition. A person with frailty is also at an increased risk of disease, disability, and death. However, frailty is reversible. Preventing frailty is an important target in the promotion of healthy ageing.
Apart from introducing concepts related to frailty, this course also provides some practical approaches to help individuals, including the older people themselves, caregivers, and healthcare professionals, to monitor and manage frailty in daily life. Short movies and videos are used for illustration. The techniques introduced in this course for managing frailty can be incorporated into daily life, making frailty easier to manage.
This course is designed for anyone interested in the management of frailty. Taking this course will help you to manage the frailty and promote the health of older people around you.
Owing to its rapid development in recent years, China has been in the spotlight of the international arena. While understanding modern China's economy, technology and politics is important, knowing its cultural roots and evolution is no less crucial for seeing the full picture of Chinese culture. This course introduces 5 interesting aspects of Chinese culture in transformation.
Key questions of the course:
(1) What are the Four Great Classical Chinese Novels? What are the stories about? Why are they so famous and influential in Chinese literature?
(2) What is special about the art of Chinese operas? What are the symbolic meanings behind the face make-up, gestures and costumes? How do the operas serve as a medium for transmitting knowledge in Chinese culture?
(3) Why did the private Confucian academies thrive in the Song dynasty? Why was the famous Donglin Academy suppressed by the state in the Ming dynasty? How were the private academies engaged in the state educational reforms in the late Qing dynasty?
(4) How did New Confucianism emerge as a movement in the 20th century? What were the aspirations of the New Confucians? How did they address modern challenges to the development of Chinese science, democracy and cosmology? Did they succeed in modernizing Confucianism?
(5) What were the traditional expectations of gender roles in China? How was gender politics heightened in the labour force in early New China? What light does the film Li Shuangshuang shed on the gender awareness of Chinese socialism?
Owing to its rapid development in recent years, China has been in the spotlight of the international arena. While understanding modern China's economy, technology and politics is important, knowing its cultural roots and evolution is no less crucial for seeing a full picture of Chinese culture. This course introduces 5 interesting aspects of Chinese cultural exchange and interaction with other countries in history.
Key questions of the course:
(1) How did the Silk Road emerge in history? Who was Matteo Ricci? What happened in history regarding the Chinese cultural exchange of religions, arts and sports with the West?
(2) Where is Central Asia? What was Pax Mongolica? What role did silver play in the Saga of the Silk Road?
(3) What cultural exchanges occurred between Vietnam and China? How did Vietnam contribute to the introduction of Buddhism to China through the maritime Silk Road? Which of the Vietnamese princes served as a high-ranking official in the Chinese court of the Ming dynasty?
(4) How did China confront Western colonialism as a global trend in the early 20th century? Who was Sun Yat-sen? How did he connect China with the rest of the world? How did Pan-Asianism arise and go bankrupt?
(5) What is the relationship between rituals, ghosts and alcohol in China? What are the stories behind Chinese medicinal food, correlative cosmology and tea? How many major types of Chinese cuisine are there? What sorts of food were exchanged between China and other countries in history?
With rapid globalization and proliferation of social media, businesses and organizations are in face of enormous communication challenges. How to communicate effectively on social media, how to manage social media data analysis as well as handling fake news are definitely at the top of the list.
By seeing challenge as opportunity, this course aims to unfold the communication challenges induced by the rise of social media in business corporations and most importantly, offer solutions to overcome these challenges. In addition, the course serves presents a vantage point to forge an interface of synergy between academics and practitioners to discuss and address global communication challenges. Participants can benefit from meaningful synergy between academics and practitioners as well as learning materials and meaningful multilateral discussions surrounding authentic communication cases and industrial practices engaging both instructors and participants. In sum, this course provides insights for business leaders, senior managerial members, and communication professionals by discussing the major communication challenges encountered by businesses around the world which in turn, helps the participants to advance their career in the ever-changing communication environment.
Design thinking has become very popular recently. It is because many people believe that design thinking can help generate innovative solutions. Many business and non-business organizations are adopting it to resolving their problems. Even business schools and other disciplines include design thinking in their curriculum. Then, what is design thinking, really? And how can it benefit us?
Design thinking is commonly recognized as a problem-solving process that includes five stages - Empathize, Define, Ideate, Prototype and Test. However, when we compare the design thinking process with the conventional problem-solving process, there are no major differences, except the implementation part. Design thinking looks at problems with a holistic and human-centric perspective. It also tackles complex problems by using a non-linear approach. However, some people claim that considering design thinking as a problem-solving process is too simplistic.
Actually, design thinking should be considered as behaviors and attitudes when dealing with problems. Design thinkers use different thinking styles and attitudes when approaching problems. Design thinkers possess certain personal traits like human-centeredness, having a flexible and creative thinking style, being comfortable with subjective and intuitive judgement, and high self-efficacy. These thinking styles and attitudes help not only in problem-solving but also in finding opportunities. In order to be proficient in design thinking, we should not only understand the design Thinking process, but also have to make ourselves become a design thinker.
This MOOC provides you with core knowledge about design thinking and demystifies design thinking as a process for solving complex and wicked problems.