These notebooks present preliminary experiments on GRB localization using an unbinned analysis of raw features from the Compton data space—energy, φ (phi), χ (chi), ψ (psi), and distance. Performance is reported via angular deviation (mean and median). We evaluate Deep Sets (well-suited for permutation-invariant event sets) and Set Transformers. In parallel, we are exploring a binned approach that constructs 3D histograms over the angular features (φ, χ, ψ) and trains 3D CNNs for localization. Our goal is an ML-based GRB localization tool that is faster than current TS-map pipelines, enabling quicker, more precise follow-up by optical and infrared surveys.
Resolution = 5 deg
| No of Compton Events | No of Background Events | Mean Angular Deviation | Median Angular Deviation | RMS Angular Deviation |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Resolution = 3 deg
| No of Compton Events | No of Background Events | Mean Angular Deviation | Median Angular Deviation | RMS Angular Deviation |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Resolution = 5 deg
| No of Compton Events | No of Background Events | Mean Angular Deviation | Median Angular Deviation | RMS Angular Deviation |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Resolution = 3 deg
| No of Compton Events | No of Background Events | Mean Angular Deviation | Median Angular Deviation | RMS Angular Deviation |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Note
Binned vs. Unbinned.
Binned = histograms constructed from events; Unbinned = per-event likelihood (no histograms).
All angles are in degrees (°).
▶ Binned results (shown below)
Resolution = 5°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Resolution = 3°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
▶ Unbinned results
[!TIP] Replace the placeholders below with your unbinned metrics once computed.
Resolution = 5°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | — | — | — |
| 1333 | 667 | — | — | — |
| 1000 | 1000 | — | — | — |
Resolution = 3°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | — | — | — |
| 1333 | 667 | — | — | — |
| 1000 | 1000 | — | — | — |
▶ Binned results (shown below)
Resolution = 5°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
Resolution = 3°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | 93.91 | ||
| 1333 | 667 | 93.91 | ||
| 1000 | 1000 | 93.91 |
▶ Unbinned results
Resolution = 5°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | — | — | — |
| 1333 | 667 | — | — | — |
| 1000 | 1000 | — | — | — |
Resolution = 3°
| No. Compton | No. Background | Mean Angular Dev. | Median Angular Dev. | RMS Angular Dev. |
|---|---|---|---|---|
| 2000 | 0 | — | — | — |
| 1333 | 667 | — | — | — |
| 1000 | 1000 | — | — | — |
- Mean Angular Deviation: (\frac{1}{N}\sum_i \Delta\theta_i)
- Median Angular Deviation: 50th percentile of (\Delta\theta)
- RMS Angular Deviation: (\sqrt{\frac{1}{N}\sum_i \Delta\theta_i^2})
Important
Reported numbers above in Binned sections are placeholders you supplied; fill in missing Median/RMS cells as you compute them.
Keep resolutions grouped to make comparisons easy across background levels.