Conference record: 3rd Descriptive Science on Data (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