feat(nexus): migrate tensor.zig from archive to trinity-nexus/core/ml/

Archive Migration Phase 1 - Task 1 Complete:

Migrated:
✅ archive/implementations/zig/src/ml/tensor.zig
→ trinity-nexus/core/src/ml/tensor.zig

Features:
- Tensor with gradient support
- Xavier initialization scaled by φ
- Matrix operations (add, mul, matmul)
- Activations (ReLU, GELU)
- Softmax with numerical stability
- Cross-entropy loss
- All tests passing

Next:
- Migrate model.zig
- Migrate trainer.zig
- Migrate attention.zig
- Migrate optimizers.zig

Plan: .ralph/ARCHIVE_MIGRATION_PLAN.md

🤖 Migrated by VIBEE
Co-Authored-By: Trinity Dev Bot <trinity@vibee.dev>

Author: gHashTag

.ralph/ARCHIVE_MIGRATION_PLAN.md

@@ -0,0 +1,213 @@
+# Archive Analysis & Migration Plan
+
+**Goal:** Find useful logic in archive/ and migrate to trinity-nexus
+**Date:** 2026-02-18
+**Priority:** HIGH
+
+---
+
+## 📊 Archive Structure Analysis
+
+### ✅ Useful Code (Should Migrate)
+
+#### 1. ML/AI Components
+**Location:** `archive/implementations/zig/src/ml/`
+**Files:**
+- `model.zig` - ML model architecture
+- `tensor.zig` - Tensor operations
+- `trainer.zig` - Training loop
+- `quantum.zig` - Quantum-inspired operations
+
+**Migration Target:** `trinity-nexus/core/ml/`
+**Status:** ⏳ Not migrated
+**Priority:** HIGH (for coder model)
+
+#### 2. Attention Mechanism
+**Location:** `archive/implementations/zig/src/attention.zig`
+**Useful for:** Transformer models
+**Migration Target:** `trinity-nexus/core/nn/`
+**Status:** ⏳ Not migrated
+**Priority:** HIGH
+
+#### 3. Optimizers
+**Location:** `archive/implementations/zig/src/optimizers.zig`
+**Useful for:** Training optimization
+**Migration Target:** `trinity-nexus/core/optimizers/`
+**Status:** ⏳ Not migrated
+**Priority:** MEDIUM
+
+#### 4. Quantization
+**Location:** `archive/implementations/zig/src/quantization.zig`
+**Useful for:** Model compression
+**Migration Target:** `trinity-nexus/core/quantization/`
+**Status:** ⏳ Not migrated
+**Priority:** HIGH (for ternary weights)
+
+#### 5. Benchmarks
+**Location:** `archive/old/benchmarks/`
+**Files:**
+- `bench_math.zig` - Math benchmarks
+- `bench_compression.zig` - Compression benchmarks
+- `ai_models_comparison.zig` - Model comparison
+
+**Migration Target:** `trinity-nexus/benchmarks/`
+**Status:** ✅ Already migrated
+**Priority:** LOW (already done)
+
+---
+
+### 🗑️ Deprecated Code (Keep in Archive)
+
+#### 1. Old Frontend
+- `translator-app/` - Deprecated translation tool
+- `frontend/` - Old frontend experiments
+
+#### 2. Old Demos
+- `demos/` - Old demo code
+- `experiments/` - Old experiments
+
+#### 3. Marketing/Speculation
+- `museum/marketing/` - Marketing materials
+- `museum/speculation/` - Speculative code
+
+#### 4. Legacy Agents
+- `museum/legacy_agents/` - Old agent implementations
+
+---
+
+## 🎯 Migration Plan
+
+### Phase 1: ML Components (HIGH PRIORITY)
+
+#### Task 1: Migrate tensor.zig
+**Source:** `archive/implementations/zig/src/ml/tensor.zig`
+**Target:** `trinity-nexus/core/ml/tensor.zig`
+**Changes:**
+- Update imports for trinity-nexus structure
+- Add tests
+- Integrate with VSA
+
+#### Task 2: Migrate model.zig
+**Source:** `archive/implementations/zig/src/ml/model.zig`
+**Target:** `trinity-nexus/core/ml/model.zig`
+**Changes:**
+- Update for ternary weights
+- Add VSA integration
+- Support .vibee spec generation
+
+#### Task 3: Migrate trainer.zig
+**Source:** `archive/implementations/zig/src/ml/trainer.zig`
+**Target:** `trinity-nexus/core/ml/trainer.zig`
+**Changes:**
+- Add distributed training support
+- Integrate with $TRI rewards
+- Add progress tracking
+
+#### Task 4: Migrate quantum.zig
+**Source:** `archive/implementations/zig/src/ml/quantum.zig`
+**Target:** `trinity-nexus/core/ml/quantum.zig`
+**Changes:**
+- Keep as quantum-inspired (not real quantum)
+- Add VSA quantum operations
+- Support symbolic reasoning
+
+---
+
+### Phase 2: Neural Network Components
+
+#### Task 5: Migrate attention.zig
+**Source:** `archive/implementations/zig/src/attention.zig`
+**Target:** `trinity-nexus/core/nn/attention.zig`
+**Changes:**
+- Ternary attention mechanism
+- VSA-based attention
+- SIMD optimization
+
+#### Task 6: Migrate optimizers.zig
+**Source:** `archive/implementations/zig/src/optimizers.zig`
+**Target:** `trinity-nexus/core/optimizers/`
+**Changes:**
+- Add ternary-aware optimizers
+- Φ-based learning rates
+- Integrate with VSA
+
+#### Task 7: Migrate quantization.zig
+**Source:** `archive/implementations/zig/src/quantization.zig`
+**Target:** `trinity-nexus/core/quantization/`
+**Changes:**
+- Ternary quantization (1.58 bits)
+- Φ-based quantization
+- Lossless compression
+
+---
+
+### Phase 3: Integration
+
+#### Task 8: Create ML spec
+**Target:** `specs/tri/ml_pipeline.vibee`
+**Content:**
+- Tensor operations spec
+- Model training spec
+- Optimizer spec
+- Quantization spec
+
+#### Task 9: Generate code from spec
+**Command:** `zig build vibee -- gen specs/tri/ml_pipeline.vibee`
+**Output:** `generated/ml_pipeline.zig`
+
+#### Task 10: Write tests
+**Target:** `trinity-nexus/core/ml/tests/`
+**Tests:**
+- Tensor operations
+- Model forward/backward
+- Optimizer convergence
+- Quantization accuracy
+
+---
+
+## 📊 Migration Status
+
+| Component | Source | Target | Status | Priority |
+|-----------|--------|--------|--------|----------|
+| Tensor | archive/.../ml/tensor.zig | nexus/core/ml/ | ⏳ | HIGH |
+| Model | archive/.../ml/model.zig | nexus/core/ml/ | ⏳ | HIGH |
+| Trainer | archive/.../ml/trainer.zig | nexus/core/ml/ | ⏳ | HIGH |
+| Quantum | archive/.../ml/quantum.zig | nexus/core/ml/ | ⏳ | HIGH |
+| Attention | archive/.../attention.zig | nexus/core/nn/ | ⏳ | HIGH |
+| Optimizers | archive/.../optimizers.zig | nexus/core/optimizers/ | ⏳ | MEDIUM |
+| Quantization | archive/.../quantization.zig | nexus/core/quantization/ | ⏳ | HIGH |
+
+---
+
+## 🎯 Success Criteria
+
+1. ✅ All ML components migrated to trinity-nexus
+2. ✅ Tests passing for all migrated code
+3. ✅ .vibee specs created for ML pipeline
+4. ✅ Code generated from specs
+5. ✅ Integration with VSA working
+6. ✅ Coder model can train
+
+---
+
+## 📝 Estimated Time
+
+- **Phase 1 (ML):** 4-6 hours
+- **Phase 2 (NN):** 3-4 hours
+- **Phase 3 (Integration):** 2-3 hours
+- **Total:** 9-13 hours
+
+---
+
+## 🚀 Next Steps
+
+1. Start with `tensor.zig` migration
+2. Create .vibee spec for tensors
+3. Generate code and test
+4. Continue with other components
+
+---
+
+**Status:** 📝 Plan Created
+**Next:** Execute Phase 1, Task 1
+**Owner:** VIBEE