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Phase 2 – Singular Learning Theory

Our Phase 2 journey into singular learning theory begins here. Snapshots from January 2026 onwards.

Phase 2 Week 1 kickoff
Phase 2 Week 1 · 17 Ocak 2026 Singular Learning Theory Kickoff
Phase 2 Week 2
Phase 2 Week 2 · 24 Ocak 2026 Section 3 Completion & ML Applications
Phase 2 Week 3
Phase 2 Week 3 · 31 Ocak 2026 Section 4 Discussion & ML Approach Critique

Phase 1 – Manifold Learning Archive

A private scrapbook of Phase 1—the snapshots we captured after each session from September through December 2025.

Orientation planning call
Orientation · Sep 2025 Initial planning call before Week 1
Pre-phase snapshot
Pre-Phase Snap · Sep 2025 Sharing study goals & expectations
Week 1 kickoff photo
Week 1 · Sep 13, 2025 Kickoff call & topic selection
Week 2 resource review moment
Week 2 · Sep 24, 2025 Resource review & roadmap planning
Week 3 paper study sprint
Week 3 · Oct 4, 2025 Paper study sprint + shared notes
Week 4 geometry focus session
Week 4 · Oct 11, 2025 Geometry focus with chalkboard sketches
Week 5 Laplace Beltrami workshop
Week 5 · Oct 18, 2025 Laplace–Beltrami workshop energy
Week 6 spectral embedding prep
Week 6 · Oct 27, 2025 Spectral embedding prep & PCA debates
Week 7 LTSA comparisons
Week 7 · Nov 9, 2025 LTSA comparisons and Q&A
Week 8 section 4.3 recap
Week 8 · Nov 16, 2025 Section 4.3–4.4 recap & algorithm whiteboard
Week 9 bias workshop
Week 9 · Nov 30, 2025 Bias & neighbourhood scale workshop reflections
Week 10 closing reflections
Week 10 · Dec 7, 2025 Closing remarks after Section 5.3–5.5

Phase 2 Notes

Status: Phase 2 Week 3 completed on January 31, 2026. Section 4 discussed; dataset construction for supervised learning on varieties is underway.

  • Batuhan: build smooth/singular + Milnor number dataset for z³ − xy + a + bz² + cz = 0.
  • Naki: investigate computational expansion of the dataset.
  • Oğuzhan: train polynomial neural network on the data.
  • Drop new snapshots into website/images/meetings/ after every Phase 2 session.
  • Next meeting: February 7, 2026 at 20:00 TSI.