The purpose of the presentation
- to introduce the core ideas behind the new model of science of science
- to collect critical feedbacks
- to push forward the specific projects along this line of thinking
- You may ask questions anytime
The Framework: Overview
The Framework: Each Layer
- The concept layer: concepts with their logical conenctions, such as theorems connected by ‘prove’
- The paper layer: papers connected by citations
- The author layer: researchers connected by mentor-mentee relation
- Inter layer connections: author-writes-paper, paper-studies-concepts
The Framework: What can be done
- Cluserting papers and concepts into topics/fields/discciplines
- Evaluate creativity of papers/authors
- Get an overview of the whole field, for researchers and administrators
- Help the development of science, ultimately
- Can also help teachers/learners
The Framework: why a model
- A math model for the major elements of Science of Science
- A scientometric question becomes a math problem in terms of this math model
- Solve it, test it, generalize it into a class of questions and a method of analysis
- In short, a math language for the data, questions, method of analysis, ways of thinking
Examples: several systems
- Math theorems, connected by ‘prove’, with papers, authors
- Chemical reations/reactants connected by reactants/reactions
- Diseases-medicine/treatment network
- Chinese characters connected by their forms
- English words with etymological relation
Examples: method of analysis
- Collect data to build up the network, infrastructure
- Ask questions and represent them in terms of the network
- Seek ways to solve the question
- Test, and systemize it of necessary
- Network analysis: A combination of direct and indirect connections
Network of Chinese characters
Network of Chinese characters
- Optimal learning orders, even personalized
- Adaptice diagnostic testing system
- Even helps to determine what to learn
Learning orders
- From the network, we know $a^{i}_{j}=1,0$ when $i$ is/is not a component of $j$
- Normalize each column to get $\tilde{A}$
- Solve the following to get $\tilde{W}$, the learning order while $W$ is the known usage frequencies
\begin{equation}
\tilde{W}= \left(1-\tilde{A}\right)^{-1}W= W + \tilde{A}W+\tilde{A}^{2}W+\tilde{A}^{3}W + \cdots
\end{equation}
- Effectively, this calculation considers usage frequency, hierarchical structure and degree
Learning orders
- Total number of characters and total usage frequencies
Back to the new model of Sci${^2}$
- Measure creativity, novalty of papers/authors, coreness or fundamentality concepts of a discipline
- Show the more general hierarchical structure of a discipline
- Suggest plausible concepts/links to work on
- All become a math problem over the new model?
- Solve it and test it?
Questions
- Thank you for your time and critical input
- Together, we can make a difference to Science of Science
IESS|The Big Physics Team