Conference record: 3rd Data Descriptive Science (day 2)

Persistent Homogeneity on Financial Market Stocks

Configuration spaces of financial market stacks TDA

• Market -> Topological space
• Status of market -> Regime

RQ: Valance are R how to apply it to configuration space?
Definitions
$r_{\alpha }(t)=log(previous/current)$
definition of distance: Euclidean distance of $(y_i-y_{i-1}{)}^{1/2}$

Assumption: betti number could refer to confidence?

TDA for digital rock

• how to define shape -> flow
  • inference function of pathways
• from data infer a potential structure
• digital oil

Mathematical modeling method dev for life science

Check: Senrin Lee's Lab
RQ1: cell arrangement is critical -> how to build a new mathematical model for this process

• cell arrangement is asymmetric -> hard to predict
• Aspect Ratio (AR) is a traditional index to explain cell adhesion
• BUT T-reversed arrangement is hard to explain
  -> draw actual physical shape of eggshell
  -> cell morphology model
• Process: image data -> num -> morphology -> sim
• Even find the way to control the type of cell arrangement (Empty Space)
• Optimal transport to cover the limits of 'gap between discrete actual data and continum math model'

RQ2: How to find a good mathematical model to describe
Check: NVIDIA omni

• consider task as a Monge question
  Check: liquid fluid is a semi-discrete optimal transport question

The Two Cultures of Mathematics

Theme: communication?

• The arts vs. Sciences -C.P. Snow

• Problem solver vs. Theory builder
  -> necessary: generalization and abstraction (or might not?)

• Somethings, interesting questions just emerge

• Soft science vs. Hard science

• From Deduction to Induction?

Notions

• There are multiple approach for mathematical applications
• I need more information and thinking patterns for some questions' emerging
• Some minimum condition I have to hit
  • Basic knowledge of Topology
  • Shape Functional
  • Coding skills

Keywords: #conference #records #math