---
# System prepended metadata

title: Jensen-Shanon (H-Div)  at MUSiC

---

---
tags: Bachelor,Bachelorthesis,2023,MUSiC, Physics, RWTH
---

Jensen-Shanon (H-Div)  at MUSiC
===

## To do:
### Jensen Shannon
1. Include all different Signal types(W',Spahleron) into the current Setup.
1. Adjust the current evaluation of the Jensen-Shannon scanning to be sensitive to the binwidth.
    2.1. Evaluate the impact of this correction.
### H-Divergencys
Evaluate the usefullness of the algorithm to conclude if this is a valuable addition to the thesis. This should be measured in the significance and the robustness of the algorithm.
1. Run tests with the H-Divergencys with fixed hyperparameters
    1.1. On sampled data
    1.2. On simulation data

### Thesis
1. Finish the creation of the rough layout
2. Start with the Theory

### Prolong CERN Acount
Write the helpdesk to extend the CERN acounts.

## Open Questions:
1. Is the High luminosity upgrade of the LHC a good addition in the justification of the usecase of the Algorithm?
2. When should we register the Thesis?
    1.1. Who should be the second reviewer? 
2. Is there a good source to find the references needed for the Thesis?
3. What is the rough time scale for the bachelorthesis?
4. Could we work with the real Run2 Data

## References
- Thesis: https://www.overleaf.com/4474324273tqdzmcdzrdnx
- H-Div paper: https://openreview.net/pdf?id=uBHs6zpY4in
- KL-Divergence: https://youtu.be/q0AkK8aYbLY
- Jensen-Shanon test: https://en.wikipedia.org/wiki/Jensen%E2%80%93Shannon_divergence
- Repository: https://github.com/CMSMUSiC/HDiv
- Jonas Lieb (Master Thesis): https://web.physik.rwth-aachen.de/user/hebbeker/theses/lieb_master.pdf
- Jonas Lieb (Bachelor Thesis): https://web.physik.rwth-aachen.de/user/hebbeker/theses/lieb_bachelor.pdf
- Yannik Kaiser (Bachelor Thesis): https://web.physik.rwth-aachen.de/user/hebbeker/theses/kaiser_bachelor.pdf
- Learning from many collider events at once (Paper): https://journals.aps.org/prd/pdf/10.1103/PhysRevD.103.116013
- Google Drive: https://drive.google.com/drive/folders/1KUu1s79_BIcLPlldQYE5OIt7fpaKwEqd
- 2D Google Collab: https://colab.research.google.com/drive/1qLC2mm5rOQPgPxZVmH-D0sY11pycKgwN?usp=sharing#scrollTo=GcWjW7q5OlmM

## Milestones

### Golden

- [x] <font color='#15B28C'> Expand the preliminary pseudo-data studies to more simulation rounds and different signals (constructive, destructive, exponentials, low P~ Values ...)</font>
- [x] Pseudo Data studies for 2D-JS
- [ ] Lognormal Tests
- [ ] Apply the method to a selection of MUSiC distributions and inject pseudo-signals. 
- [x] Apply the method to a selection of MUSiC distributions and inject simulated signals. 
- [x] Replicate the MUSiC p-values distributions for all classes and distributions (with injected simulated signals).
- [x] Evaluate the JS test for all tested MUSiC distributions (with injected simulated signals).

### Silver
- [ ] Can we cover the Higgs observation with the JS test?
- [ ] How does one could evaluate the the H-Div hyper parameters for MUSiC?
- [ ]     Optimize by removing SM processes?
- [ ] Pseudo Data studies for 2D-Music
- [ ] Exploting the Higgs-Dataset:
    - http://proceedings.mlr.press/v42/cowa14.pdf
               
              