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| 1 |
+
---
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| 2 |
+
name: neurogolf-solver
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| 3 |
+
description: Build and improve an ONNX model generator for the NeuroGolf Championship (Kaggle). Produces 400 tiny ONNX models (opset 17, IR 8, input/output [1,10,30,30] one-hot float32) for ARC-AGI tasks. Scoring = max(1, 25 - ln(MACs + memory_bytes + params)). Lower cost = higher score. Use this skill whenever working on this competition, debugging submission failures, or starting a fresh session.
|
| 4 |
+
---
|
| 5 |
+
|
| 6 |
+
# NeuroGolf Solver
|
| 7 |
+
|
| 8 |
+
## Development Methodology: The Closed-Loop
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| 9 |
+
|
| 10 |
+
```
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| 11 |
+
Research β Design β Experiment β Analyze β Research β ...
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| 12 |
+
```
|
| 13 |
+
|
| 14 |
+
**Rule: Loop until we have a CONFIRMED increase in arc-gen validated score.**
|
| 15 |
+
|
| 16 |
+
| Phase | What | Exit Criteria |
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| 17 |
+
|-------|------|---------------|
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| 18 |
+
| **Research** | Read papers, understand theory, find what works in similar regimes | Have a testable hypothesis with cited evidence |
|
| 19 |
+
| **Design** | Write MINIMAL code to test the hypothesis | Code is <200 lines, focused on ONE feature |
|
| 20 |
+
| **Experiment** | Run on representative task sample (β₯20 tasks, or all 400 if cheap) | Full arc-gen validation completed |
|
| 21 |
+
| **Analyze** | Compare with/without feature. Measure: tasks solved, arc-gen survival, total score | Data shows >10% improvement in arc-gen survival rate OR total score |
|
| 22 |
+
| **Research** | If failed: why? Read more papers. If succeeded: can we combine with other wins? | Next hypothesis ready |
|
| 23 |
+
|
| 24 |
+
**Critical rules:**
|
| 25 |
+
- NEVER write >200 lines without running them first
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| 26 |
+
- NEVER claim a feature "works" until arc-gen validated on β₯20 tasks
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| 27 |
+
- NEVER upload code to repo that hasn't been validated
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| 28 |
+
- Theory from papers is NOT proof for our data β always test
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| 29 |
+
- If a feature shows no improvement after testing, DELETE it β don't leave dead code
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| 30 |
+
- Make surgical edits to individual files β NEVER rewrite the entire codebase in one shot
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| 31 |
+
|
| 32 |
+
## Quick Reference
|
| 33 |
+
|
| 34 |
+
- **Repo**: `rogermt/neurogolf-solver`
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| 35 |
+
- **Current version**: v5.2 β 52 solved, ~710 score, est LB ~1058
|
| 36 |
+
- **Previous best on Kaggle**: v4.3 β 50 arc-gen-validated tasks, est LB ~670
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| 37 |
+
- **Kaggle runtime**: 12 hours for submission
|
| 38 |
+
- **Target**: 3000+ LB (our own solver, no blending)
|
| 39 |
+
- **Detailed history, mistakes, analysis**: see `LEARNING.md`
|
| 40 |
+
- **Roadmap & experiment queue**: see `TODO.md`
|
| 41 |
+
|
| 42 |
+
## 1. Competition Rules
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| 43 |
+
|
| 44 |
+
| Item | Value |
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| 45 |
+
|------|-------|
|
| 46 |
+
| Input/Output | `"input"`/`"output"` float32 `[1,10,30,30]` one-hot |
|
| 47 |
+
| Opset | 17 (IR 8). Opset 10 also accepted on Kaggle |
|
| 48 |
+
| **Max .onnx file size** | **1.44 MB per ONNX file** (not submission zip) |
|
| 49 |
+
| Static shapes | **All tensors and parameters must have statically-defined shapes** |
|
| 50 |
+
| Banned ops | **Loop, Scan, NonZero, Unique, Script, Function** |
|
| 51 |
+
| Scoring | `max(1.0, 25.0 - ln(MACs + memory + params))` per task |
|
| 52 |
+
| Tasks | **All 400 count. There are NO excluded tasks. Unsolved = 1.0 pt.** |
|
| 53 |
+
| Validation | Models checked against **train + test + arc-gen** (ALL splits) |
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| 54 |
+
| Submission | `submission.zip` with `task001.onnx`β`task400.onnx` + optional `submission.csv` |
|
| 55 |
+
|
| 56 |
+
## 2. ARC-GEN Data β THE Critical Factor
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| 57 |
+
|
| 58 |
+
**A model that passes train+test but fails arc-gen scores ZERO on Kaggle.**
|
| 59 |
+
|
| 60 |
+
- Kaggle tasks at `/kaggle/input/competitions/neurogolf-2026/taskNNN.json` contain `{"train":[], "test":[], "arc-gen":[]}`
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| 61 |
+
- Up to 262 arc-gen examples per task (100K total)
|
| 62 |
+
- Locally: ARC-GEN in `ARC-GEN-100K/{hex_id}.json` as list of `{input, output}` β merge into task data
|
| 63 |
+
- Conv fitting: include arc-gen examples **only when grid sizes match** train/test (otherwise lstsq fails)
|
| 64 |
+
- Validation: always check against `arc-gen[:30]` minimum
|
| 65 |
+
|
| 66 |
+
## 3. Architecture
|
| 67 |
+
|
| 68 |
+
### Package Structure (v5.2)
|
| 69 |
+
```
|
| 70 |
+
neurogolf_solver/
|
| 71 |
+
βββ constants.py # Grid dims, opset, limits (NO excluded tasks)
|
| 72 |
+
βββ config.py # Runtime providers, opset factory
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| 73 |
+
βββ data_loader.py # Task loading, one-hot, example extraction
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| 74 |
+
βββ validators.py # Model validation against all splits
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| 75 |
+
βββ profiler.py # Static cost profiler (onnx_tool fallback)
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| 76 |
+
βββ onnx_helpers.py # Opset 17 builders: Slice, Pad, ReduceSum, mk()
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| 77 |
+
βββ gather_helpers.py # Gather-based spatial remapping models
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| 78 |
+
βββ submission.py # run_tasks (W&B logging), zip/csv generation
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| 79 |
+
βββ main.py # Entry point with argparse
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| 80 |
+
βββ solvers/
|
| 81 |
+
βββ analytical.py # identity, constant, color_map, transpose
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| 82 |
+
βββ geometric.py # flip, rotate, shift, crop, gravity (detect only)
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| 83 |
+
βββ tiling.py # tile, upscale, mirror, concat, spatial_gather
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| 84 |
+
βββ conv.py # lstsq conv (fixed, variable, diffshape, var_diff) + PCR fallback
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| 85 |
+
βββ gravity.py # Unrolled bubble-sort gravity (Conv+Where, 4 dirs) β Task 78
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| 86 |
+
βββ edge.py # Laplacian edge detection (0 matches currently)
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| 87 |
+
βββ mode.py # Mode fill (ReduceSumβArgMaxβExpand) β Task 129
|
| 88 |
+
βββ solver_registry.py # ANALYTICAL_SOLVERS list + solve_task()
|
| 89 |
+
```
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| 90 |
+
|
| 91 |
+
Run with: `python -m neurogolf_solver.main [args]`
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| 92 |
+
|
| 93 |
+
### Solver Pipeline
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| 94 |
+
```
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| 95 |
+
1. Analytical solvers (instant, zero/low cost, always arc-gen safe):
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| 96 |
+
identity β constant β color_map β transpose β flip β rotate β
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| 97 |
+
shift β tile β upscale β kronecker β nonuniform_scale β
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| 98 |
+
mirror_h β mirror_v β quad_mirror β concat β concat_enhanced β
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| 99 |
+
diagonal_tile β fixed_crop β spatial_gather β varshape_spatial_gather β
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| 100 |
+
gravity_unrolled β edge_detect β mode_fill
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| 101 |
+
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| 102 |
+
2. Conv solvers (lstsq fitted, validated against arc-gen, PCR fallback):
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| 103 |
+
conv_fixed β SliceβConvβArgMaxβEqual+CastβPad
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| 104 |
+
conv_variable β Conv(30Γ30)βArgMaxβEqual+CastβMul(mask)
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| 105 |
+
conv_diffshape β SliceβConvβSlice(crop)βArgMaxβEqual+CastβPad
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| 106 |
+
conv_var_diff β Conv(30Γ30)βArgMaxβEqual+CastβMul(input_mask)
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| 107 |
+
```
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| 108 |
+
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| 109 |
+
### ONNX Building Rules (opset 17)
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| 110 |
+
- **All shapes must be static** β no dynamic dimensions
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| 111 |
+
- **Max 1.44 MB per .onnx file** β checked by Kaggle validator
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| 112 |
+
- **Slice(step=-1)** for flip/rotate β zero MACs, replaces Gather for these transforms
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| 113 |
+
- **Gather** (opset 1) for spatial remapping β used by concat, spatial_gather, mirrors, etc.
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| 114 |
+
- **NEVER** use GatherElements (opset 11)
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| 115 |
+
- **Equal+Cast** for one-hot β NEVER use OneHot (no CUDA kernel)
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| 116 |
+
- **Channel Gather** for permutation color maps (0 MACs, score ~21 vs ~13 for Conv 1Γ1)
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| 117 |
+
- **Conv 1Γ1** for non-permutation color maps (has MACs but correct)
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| 118 |
+
- **ReduceSum** with axes as **tensor input** (opset 13+ requirement)
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| 119 |
+
- **Pad** with tensor-based `pads` input (opset 11+ requirement)
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| 120 |
+
- **lstsq calls** must be wrapped in `try/except (LinAlgError, ValueError)` β SVD can fail to converge
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| 121 |
+
- **ArgMax + Equal+Cast** before Pad to ensure clean one-hot in padded region (gravity solver lesson)
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| 122 |
+
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| 123 |
+
### Conv Fitting
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| 124 |
+
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| 125 |
+
**Conv ceiling: ~25 tasks.** Regularization (Ridge, PCA/SVD, skip-ks) all tested and rejected.
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| 126 |
+
Root cause: architecture mismatch β most unsolved tasks need non-local ops, not local conv patches.
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| 127 |
+
|
| 128 |
+
**Current fitting strategy (v5.1+):**
|
| 129 |
+
- Composable primitives: `_build_patch_matrix` + `_solve_weights` + `_extract_weights`
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| 130 |
+
- PCR fallback via `_solve_weights_pcr` (deferred 2nd pass, 0 new solves but no regressions)
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| 131 |
+
- Kernel sizes: [1,3,5,7,9,11,13,15,17,19,21,23,25,27,29]
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| 132 |
+
- Try no-bias first, then bias
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| 133 |
+
- lstsq wrapped in try/except for SVD non-convergence
|
| 134 |
+
- **Validate against arc-gen BEFORE accepting** β reject if fails
|
| 135 |
+
|
| 136 |
+
### New Solver Architectures (v5.2)
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| 137 |
+
|
| 138 |
+
**gravity.py** β Unrolled bubble-sort via Conv+Where
|
| 139 |
+
- 4 directions Γ 10 bg colors, max(IH,IW) steps
|
| 140 |
+
- Per step: 2Γ Conv(3Γ3 shift), 3Γ ReduceSum, 3Γ Greater, 2Γ And, 2Γ Where
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| 141 |
+
- Final: ArgMax + Equal+Cast + Pad (clean one-hot)
|
| 142 |
+
- Cost: ~16M (10Γ10 grid), score ~8.4
|
| 143 |
+
- **Validated: Task 78 (direction=up, bg=0)**
|
| 144 |
+
|
| 145 |
+
**edge.py** β Laplacian conv boundary detection
|
| 146 |
+
- Conv 1Γ1 (channel collapse) β Conv 3Γ3 (Laplacian) β Abs β Greater β And β Where
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| 147 |
+
- Cost: ~16K MACs, score ~15
|
| 148 |
+
- **0 matches currently** β edge definition may be too strict
|
| 149 |
+
|
| 150 |
+
**mode.py** β Global majority color fill
|
| 151 |
+
- Slice β ReduceSum(axes=[2,3]) β ArgMax β Equal+Cast β Expand β Pad
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| 152 |
+
- Cost: ~2K, score ~19.5
|
| 153 |
+
- **Validated: Task 129**
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| 154 |
+
|
| 155 |
+
## 4. Performance
|
| 156 |
+
|
| 157 |
+
**The lstsq conv solver is the speed bottleneck.** Use `--conv_budget` to cap time per task (5s locally, 60s on Kaggle).
|
| 158 |
+
|
| 159 |
+
**Do NOT** try to GPU-accelerate lstsq. The bottleneck is algorithmic (O(nΒ³) SVD), not device.
|
| 160 |
+
|
| 161 |
+
## 5. Score Accounting (v5.2)
|
| 162 |
+
|
| 163 |
+
| Category | Tasks | Avg Score | Notes |
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| 164 |
+
|----------|-------|-----------|-------|
|
| 165 |
+
| Analytical | 24 | ~16 | identity, constant, color_map, transpose, flip, rotate, shift, tile, mirrors, etc. |
|
| 166 |
+
| Conv (lstsq) | 25 | ~10.5 | conv_fixed, conv_var, conv_diff, conv_var_diff |
|
| 167 |
+
| Gravity | 1 | 8.4 | Task 78 |
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| 168 |
+
| Mode fill | 1 | 19.5 | Task 129 |
|
| 169 |
+
| Timing artifact | 1 | 8.2 | Task 61 (conv_var, only on slow hardware) |
|
| 170 |
+
| **Unsolved** | **348** | **1.0** | Minimum score |
|
| 171 |
+
| **Total** | **52/400** | | **~710 solved + 348 = ~1058 est LB** |
|
| 172 |
+
|
| 173 |
+
### Path to 3000+
|
| 174 |
+
1. β
ARC-GEN validation (v4)
|
| 175 |
+
2. β
New analytical solvers (v4)
|
| 176 |
+
3. β
Opset 17 Slice-based transforms (v5)
|
| 177 |
+
4. β
lstsq crash fix + modular package (v5)
|
| 178 |
+
5. β
PCR fallback in conv (v5.1 β 0 new solves but clean code)
|
| 179 |
+
6. β
Gravity solver (v5.2 β Task 78)
|
| 180 |
+
7. β
Mode fill solver (v5.2 β Task 129)
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| 181 |
+
8. π² **Phase 3 solvers**: flood fill, composition, color LUT, CumSum β see TODO.md
|
| 182 |
+
9. π² **Phase 1a**: Opset 17 conversions for existing analytical tasks (score optimization)
|
| 183 |
+
10. π² **Phase 4**: ONNX optimizer, best-of-N selection
|
| 184 |
+
|
| 185 |
+
**Blending is EXPLICITLY excluded** β user's competitive philosophy.
|
| 186 |
+
|
| 187 |
+
## 6. Submission Checklist
|
| 188 |
+
|
| 189 |
+
Before submitting to Kaggle:
|
| 190 |
+
- [ ] All models validated against train + test + arc-gen (locally)
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| 191 |
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- [ ] **All 400 tasks attempted** (no exclusions)
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| 192 |
+
- [ ] No GatherElements in any model
|
| 193 |
+
- [ ] No banned ops (Loop, Scan, NonZero, Unique, Script, Function)
|
| 194 |
+
- [ ] All tensor shapes are static
|
| 195 |
+
- [ ] **Each .onnx file < 1.44 MB**
|
| 196 |
+
- [ ] Local estimated score calculated and compared to expected LB
|
| 197 |
+
- [ ] **A/B test**: ran both old and new solver on same tasks, new solver scores higher
|
| 198 |
+
|
| 199 |
+
## 7. Files & Locations
|
| 200 |
+
|
| 201 |
+
| Location | Path | Notes |
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| 202 |
+
|----------|------|-------|
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| 203 |
+
| HF Repo | `rogermt/neurogolf-solver` | All code + data |
|
| 204 |
+
| **Solver package** | `neurogolf_solver/` | **v5.2 β 19 files, modular** |
|
| 205 |
+
| Legacy monolith | `neurogolf_solver.py` | v4, kept for reference β do not edit |
|
| 206 |
+
| Official utils | `neurogolf_utils.py` | Kaggle scoring lib (needs onnx_tool) |
|
| 207 |
+
| ARC-GEN data | `ARC-GEN-100K.zip` | 400 files, 100K examples |
|
| 208 |
+
| Notebooks | `neurogolf-2026-solver-notebooks.zip` | 5 reference notebooks |
|
| 209 |
+
| Kaggle data | `/kaggle/input/competitions/neurogolf-2026/` | task JSONs with arc-gen |
|
| 210 |
+
| Roadmap | `TODO.md` | Experiment queue with status key |
|
| 211 |
+
| Learning | `LEARNING.md` | Knowledge accumulation β read before coding |
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| 212 |
+
|
| 213 |
+
## 8. LEARNING.md Maintenance Rules
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| 214 |
+
|
| 215 |
+
`LEARNING.md` is the knowledge accumulation file. Update it when:
|
| 216 |
+
- A bug is found and fixed β add to Mistakes Log with root cause
|
| 217 |
+
- A new approach is tried β record what worked, what didn't, and why
|
| 218 |
+
- Competition analysis reveals new insights β add to Competitive Intelligence
|
| 219 |
+
- Version milestones β update the Version History table
|
| 220 |
+
- Performance measurements β add concrete numbers
|
| 221 |
+
|
| 222 |
+
Structure: chronological within sections, newest entries first. Always include dates and version numbers.
|