docs: add ReadTheDocs configuration and Sphinx documentation structure
This commit is contained in:
@@ -1,7 +1,7 @@
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# OptimizR Enhancement Strategy
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**Date**: January 2, 2025
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**Context**: Post-Polaroid Phase 4, exploring integration and improvements
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**Context**: Post-Polarway Phase 4, exploring integration and improvements
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**Based On**: v0.2.0 codebase review, roadmap analysis, synergy opportunities
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## Current State Analysis
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@@ -58,14 +58,14 @@
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- Simulated Annealing
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- Ant Colony Optimization
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## Synergy Opportunities: Polaroid + OptimizR
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## Synergy Opportunities: Polarway + OptimizR
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### 1. Time-Series Feature Engineering for HMM
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**Description**: Use Polaroid's time-series operations to create features for regime detection
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**Description**: Use Polarway's time-series operations to create features for regime detection
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**Implementation**:
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```python
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# Polaroid: Fast feature creation
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# Polarway: Fast feature creation
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df = client.lag(['price'], periods=1) # Lagged prices
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df = client.pct_change(['price'], periods=1) # Returns
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df = client.diff(['price'], periods=1) # Price changes
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@@ -78,7 +78,7 @@ states = hmm.predict(returns)
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```
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**Value**:
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- Polaroid provides fast feature engineering (50-200× faster for large datasets)
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- Polarway provides fast feature engineering (50-200× faster for large datasets)
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- OptimizR provides statistical inference (HMM regime detection)
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- Combined: Real-time regime switching for trading strategies
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@@ -87,7 +87,7 @@ states = hmm.predict(returns)
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**Implementation**:
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```python
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# Polaroid: Efficient return calculation
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# Polarway: Efficient return calculation
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df = client.pct_change(['price'], periods=1)
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returns = df['price_pct_change'].to_numpy()
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@@ -98,7 +98,7 @@ risk_metrics = compute_risk_metrics(returns) # Comprehensive suite
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```
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**Value**:
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- Fast preprocessing (Polaroid) + sophisticated analysis (OptimizR)
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- Fast preprocessing (Polarway) + sophisticated analysis (OptimizR)
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- Useful for pairs trading, mean-reversion strategies
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- Real-time risk monitoring
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@@ -107,7 +107,7 @@ risk_metrics = compute_risk_metrics(returns) # Comprehensive suite
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**Implementation**:
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```python
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# Polaroid: Multi-asset feature creation
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# Polarway: Multi-asset feature creation
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df = client.lag(['spy_price', 'vix'], periods=[1, 5, 20])
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df = client.pct_change(['spy_price'], periods=1)
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@@ -127,7 +127,7 @@ value_fn = solve_hjb_regime_switching(...)
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**Implementation**:
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```python
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# Polaroid: Backtest execution (fast data ops)
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# Polarway: Backtest execution (fast data ops)
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def backtest_strategy(params):
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df = client.lag(['price'], periods=int(params[0]))
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# ... strategy logic ...
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@@ -143,7 +143,7 @@ result = differential_evolution(
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```
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**Value**:
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- Polaroid handles heavy data processing
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- Polarway handles heavy data processing
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- OptimizR finds optimal parameters
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- 74-88× faster than SciPy DE
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@@ -258,14 +258,14 @@ impl SHADEMemory {
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### Priority 3: Time-Series Integration Helpers
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**Problem**: Using Polaroid + OptimizR requires manual glue code
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**Problem**: Using Polarway + OptimizR requires manual glue code
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**Solution**: Create helper functions for common time-series + optimization patterns
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**Implementation Strategy**:
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1. Add `timeseries_utils` module to OptimizR
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2. Functions for common workflows
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3. Optional Polaroid integration (via feature flag)
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3. Optional Polarway integration (via feature flag)
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**Code Outline**:
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```rust
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@@ -350,7 +350,7 @@ result = tsu.optimize_strategy_params(
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1. **Session 1 (Current)**: Time-Series Integration Helpers (1-2 hours)
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- Low effort, immediate value
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- Makes Polaroid + OptimizR integration obvious
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- Makes Polarway + OptimizR integration obvious
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- Creates examples for documentation
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2. **Session 2**: Enable Rust-Native Parallelization (1-2 hours)
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@@ -372,7 +372,7 @@ result = tsu.optimize_strategy_params(
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For each enhancement:
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1. **Unit tests**: Algorithm correctness (sphere function, Rosenbrock)
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2. **Benchmarks**: Performance comparison (before/after)
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3. **Integration tests**: Polaroid + OptimizR workflows
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3. **Integration tests**: Polarway + OptimizR workflows
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4. **Documentation**: Usage examples, API docs
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## Git Commit Strategy (per MANDATORY rules)
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@@ -404,4 +404,4 @@ Each enhancement gets:
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---
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**Next Action**: Implement Priority 3 (Time-Series Integration Helpers) as it's lowest effort with immediate value for demonstrating Polaroid + OptimizR synergy.
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**Next Action**: Implement Priority 3 (Time-Series Integration Helpers) as it's lowest effort with immediate value for demonstrating Polarway + OptimizR synergy.
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@@ -14,7 +14,7 @@ Completed comprehensive enhancement suite for OptimizR v0.2.0, implementing all
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2. ✅ **Rust Parallelization** (Priority 2)
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3. ✅ **SHADE Algorithm** (Priority 1)
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Additionally created integration examples combining Polaroid + OptimizR workflows.
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Additionally created integration examples combining Polarway + OptimizR workflows.
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---
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@@ -41,7 +41,7 @@ Additionally created integration examples combining Polaroid + OptimizR workflow
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- All functions tested and working
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**Impact**:
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- Enables Polaroid → OptimizR workflows
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- Enables Polarway → OptimizR workflows
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- Simplifies regime detection with HMM
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- Streamlines pairs trading analysis
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@@ -130,12 +130,12 @@ Additionally created integration examples combining Polaroid + OptimizR workflow
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### 4. Integration Examples (Included with parallelization)
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**Purpose**: Demonstrate Polaroid + OptimizR workflows.
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**Purpose**: Demonstrate Polarway + OptimizR workflows.
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**Implementation**:
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- `examples/polaroid_optimizr_integration.py` (500+ lines)
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- `examples/polarway_optimizr_integration.py` (500+ lines)
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- 4 comprehensive workflows:
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1. **Regime Detection**: Polaroid features → HMM → regime classification
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1. **Regime Detection**: Polarway features → HMM → regime classification
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2. **Strategy Optimization**: Moving average crossover with DE
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3. **Risk Analysis**: Portfolio with rolling metrics
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4. **Pairs Trading**: Complete pipeline with cointegration check
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@@ -148,11 +148,11 @@ Additionally created integration examples combining Polaroid + OptimizR workflow
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**Impact**:
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- End-to-end examples for financial analysis
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- Demonstrates Polaroid + OptimizR synergy
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- Demonstrates Polarway + OptimizR synergy
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- Ready for production adaptation
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**Files**:
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- `examples/polaroid_optimizr_integration.py`
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- `examples/polarway_optimizr_integration.py`
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- `examples/timeseries_integration.py`
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- `examples/parallel_de_benchmark.py`
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@@ -223,7 +223,7 @@ All commits pushed to origin/main ✅
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All enhancements align with OptimizR v0.3.0 roadmap:
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- ✅ **Time-series integration**: Enable Polaroid workflows
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- ✅ **Time-series integration**: Enable Polarway workflows
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- ✅ **Parallelization**: Unlock Rayon infrastructure
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- ✅ **SHADE**: State-of-the-art adaptive DE
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@@ -0,0 +1,5 @@
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# Python dependencies for building documentation
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sphinx>=7.0.0
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furo>=2023.9.10
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myst-parser>=2.0.0
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sphinx-autodoc-typehints>=1.24.0
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@@ -0,0 +1,77 @@
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# Configuration file for the Sphinx documentation builder.
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# https://www.sphinx-doc.org/en/master/usage/configuration.html
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import os
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import sys
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sys.path.insert(0, os.path.abspath('../../python'))
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# -- Project information -----------------------------------------------------
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project = 'OptimizR'
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copyright = '2026, HFThot Research Lab'
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author = 'HFThot Research Lab'
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release = '0.3.0'
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version = '0.3.0'
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# -- General configuration ---------------------------------------------------
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extensions = [
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'sphinx.ext.autodoc',
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'sphinx.ext.napoleon',
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'sphinx.ext.viewcode',
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'sphinx.ext.intersphinx',
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'sphinx.ext.mathjax',
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'myst_parser',
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]
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# Add any paths that contain templates here, relative to this directory.
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templates_path = ['_templates']
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# List of patterns, relative to source directory, that match files and
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# directories to ignore when looking for source files.
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exclude_patterns = []
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# -- Options for HTML output -------------------------------------------------
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html_theme = 'furo' # Modern, clean theme
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html_static_path = ['_static']
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html_title = 'OptimizR Documentation'
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html_short_title = 'OptimizR'
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html_logo = None # Add logo if available
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html_theme_options = {
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"light_css_variables": {
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"color-brand-primary": "#f97316",
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"color-brand-content": "#f97316",
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},
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"dark_css_variables": {
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"color-brand-primary": "#fb923c",
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"color-brand-content": "#fb923c",
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},
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}
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# Napoleon settings for Google/NumPy docstring parsing
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napoleon_google_docstring = True
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napoleon_numpy_docstring = True
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napoleon_include_init_with_doc = False
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napoleon_include_private_with_doc = False
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napoleon_include_special_with_doc = True
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napoleon_use_admonition_for_examples = False
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napoleon_use_admonition_for_notes = False
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napoleon_use_admonition_for_references = False
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napoleon_use_ivar = False
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napoleon_use_param = True
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napoleon_use_rtype = True
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napoleon_preprocess_types = False
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napoleon_type_aliases = None
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napoleon_attr_annotations = True
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# Intersphinx configuration
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intersphinx_mapping = {
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'python': ('https://docs.python.org/3', None),
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'numpy': ('https://numpy.org/doc/stable/', None),
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}
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# MyST parser configuration for markdown support
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myst_enable_extensions = [
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"colon_fence",
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"deflist",
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"dollarmath",
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]
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@@ -0,0 +1,152 @@
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# Examples
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This page lists all available examples and tutorials for OptimizR.
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## Jupyter Notebooks
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All notebooks are located in the [examples/](https://github.com/ThotDjehuty/optimiz-r/tree/main/examples) directory.
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### 1. Differential Evolution
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**File**: `01_differential_evolution_tutorial.ipynb`
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Learn how to use the Differential Evolution optimizer:
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- Basic optimization problems (Rosenbrock, Rastrigin, Ackley)
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- Strategy comparison (rand/1, best/1, current-to-best/1)
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- Parameter tuning (F, CR, population size)
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- Convergence analysis and visualization
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### 2. Mean Field Games
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**File**: `02_mean_field_games_tutorial.ipynb`
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Solve 1D Mean Field Games:
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- HJB-Fokker-Planck coupling
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- Agent population dynamics
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- Nash equilibrium computation
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- 3D visualization (time × space × density)
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### 3. Hidden Markov Models
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**File**: `03_hmm_tutorial.ipynb`
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Train and apply HMMs:
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- Baum-Welch training algorithm
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- Viterbi decoding
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- Gaussian emission models
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- Real-world applications (regime detection, speech recognition)
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### 4. MCMC Sampling
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**File**: `04_mcmc_tutorial.ipynb`
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Bayesian inference with Metropolis-Hastings:
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- Sampling from complex distributions
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- Adaptive proposal tuning
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- Convergence diagnostics
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- Posterior analysis
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### 5. Sparse Optimization
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**File**: `05_sparse_optimization_tutorial.ipynb`
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Sparse methods for high-dimensional data:
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- Sparse PCA
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- Elastic Net
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- ADMM solver
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- Feature selection
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### 6. Optimal Control
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**File**: `06_optimal_control_tutorial.ipynb`
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Solve HJB equations:
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- Regime-switching jump diffusions (MRSJD)
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- Optimal stopping problems
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- Dynamic programming
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- Financial applications
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### 7. Risk Metrics
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**File**: `07_risk_metrics_tutorial.ipynb`
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Time series analysis:
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- Hurst exponent estimation
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- Half-life calculation
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- Mean reversion testing
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- Trading signal generation
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## Python Scripts
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Quick examples for copy-paste usage:
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### Optimize Rosenbrock Function
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```python
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import numpy as np
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from optimizr import DifferentialEvolution
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def rosenbrock(x):
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return sum(100.0 * (x[1:] - x[:-1]**2)**2 + (1 - x[:-1])**2)
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de = DifferentialEvolution(bounds=[(-5, 5)] * 10)
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result = de.optimize(rosenbrock, max_iterations=200)
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print(f"Minimum: {result.best_fitness}")
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```
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### Train HMM on Data
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```python
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import numpy as np
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from optimizr import HMMGaussian
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# Load your data
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observations = np.load("data.npy")
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# Train model
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hmm = HMMGaussian(n_states=3)
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hmm.fit(observations)
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# Predict states
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states = hmm.decode(observations)
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```
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### MCMC Sampling
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```python
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import numpy as np
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from optimizr import MetropolisHastings
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def log_posterior(x):
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return -0.5 * np.sum((x - 2)**2)
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sampler = MetropolisHastings(log_posterior, initial_state=np.zeros(5))
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samples = sampler.sample(n_samples=10000)
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```
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## Running Examples
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To run notebooks:
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```bash
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cd examples/
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jupyter notebook
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||||
```
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||||
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To run Python scripts:
|
||||
|
||||
```bash
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python examples/basic_optimization.py
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||||
```
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||||
|
||||
## Contribute Examples
|
||||
|
||||
Have a cool use case? Contribute your example:
|
||||
|
||||
1. Fork the [repository](https://github.com/ThotDjehuty/optimiz-r)
|
||||
2. Add your notebook to `examples/`
|
||||
3. Ensure it runs without errors
|
||||
4. Submit a pull request
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||||
|
||||
See [Contributing Guide](contributing.md) for details.
|
||||
@@ -0,0 +1,127 @@
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||||
.. OptimizR documentation master file
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||||
|
||||
OptimizR Documentation
|
||||
======================
|
||||
|
||||
**High-performance optimization algorithms in Rust with Python bindings**
|
||||
|
||||
.. image:: https://img.shields.io/badge/version-0.3.0-blue.svg
|
||||
:target: https://github.com/ThotDjehuty/optimiz-r/releases
|
||||
:alt: Version
|
||||
|
||||
.. image:: https://img.shields.io/badge/license-MIT-green.svg
|
||||
:target: https://github.com/ThotDjehuty/optimiz-r/blob/main/LICENSE
|
||||
:alt: License
|
||||
|
||||
OptimizR provides blazingly fast, production-ready implementations of advanced optimization and statistical inference algorithms. Built with Rust for maximum performance and exposed to Python through PyO3, it delivers **50-100× speedup** over pure Python implementations.
|
||||
|
||||
.. toctree::
|
||||
:maxdepth: 2
|
||||
:caption: Getting Started
|
||||
|
||||
installation
|
||||
quickstart
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||||
examples
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||||
|
||||
.. toctree::
|
||||
:maxdepth: 2
|
||||
:caption: Algorithms
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||||
|
||||
algorithms/differential_evolution
|
||||
algorithms/mean_field_games
|
||||
algorithms/hmm
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||||
algorithms/mcmc
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||||
algorithms/sparse_optimization
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||||
algorithms/optimal_control
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||||
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||||
.. toctree::
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||||
:maxdepth: 2
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||||
:caption: API Reference
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||||
|
||||
api/differential_evolution
|
||||
api/mean_field_games
|
||||
api/hmm
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||||
api/mcmc
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||||
api/sparse
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||||
api/optimal_control
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||||
|
||||
.. toctree::
|
||||
:maxdepth: 1
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||||
:caption: Advanced
|
||||
|
||||
theory/mathematical_foundations
|
||||
benchmarks
|
||||
contributing
|
||||
changelog
|
||||
|
||||
Features
|
||||
--------
|
||||
|
||||
✨ **Algorithms Included:**
|
||||
|
||||
- **Mean Field Games**: 1D MFG solver, HJB-Fokker-Planck coupling, agent population dynamics
|
||||
- **Differential Evolution**: 5 strategies (rand/1, best/1, current-to-best/1, rand/2, best/2), adaptive jDE
|
||||
- **Optimal Control**: HJB solvers, regime switching, jump diffusion, MRSJD framework
|
||||
- **Hidden Markov Models**: Baum-Welch training, Viterbi decoding, Gaussian emissions
|
||||
- **MCMC Sampling**: Metropolis-Hastings, adaptive proposals, Bayesian inference
|
||||
- **Sparse Optimization**: Sparse PCA, Box-Tao decomposition, Elastic Net, ADMM
|
||||
- **Risk Metrics**: Hurst exponent, half-life estimation, time series analysis
|
||||
- **Information Theory**: Mutual information, Shannon entropy, feature selection
|
||||
|
||||
🚀 **Performance:**
|
||||
|
||||
- **50-100× faster** than pure Python implementations
|
||||
- **95% memory reduction** vs NumPy/SciPy
|
||||
- **Parallel-ready** with Rayon infrastructure
|
||||
- Production-tested on multi-dimensional problems
|
||||
|
||||
Quick Example
|
||||
-------------
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
import numpy as np
|
||||
from optimizr import DifferentialEvolution
|
||||
|
||||
# Define objective function
|
||||
def sphere(x):
|
||||
return np.sum(x**2)
|
||||
|
||||
# Optimize
|
||||
de = DifferentialEvolution(
|
||||
bounds=[(-5, 5)] * 10,
|
||||
strategy="best/1/bin",
|
||||
population_size=50
|
||||
)
|
||||
result = de.optimize(sphere, max_iterations=100)
|
||||
|
||||
print(f"Best fitness: {result.best_fitness:.6f}")
|
||||
print(f"Best solution: {result.best_solution}")
|
||||
|
||||
Installation
|
||||
------------
|
||||
|
||||
From PyPI (coming soon):
|
||||
|
||||
.. code-block:: bash
|
||||
|
||||
pip install optimizr
|
||||
|
||||
From source:
|
||||
|
||||
.. code-block:: bash
|
||||
|
||||
# Clone repository
|
||||
git clone https://github.com/ThotDjehuty/optimiz-r.git
|
||||
cd optimiz-r
|
||||
|
||||
# Build and install
|
||||
pip install maturin
|
||||
maturin develop --release
|
||||
|
||||
Indices and tables
|
||||
==================
|
||||
|
||||
* :ref:`genindex`
|
||||
* :ref:`modindex`
|
||||
* :ref:`search`
|
||||
@@ -0,0 +1,111 @@
|
||||
# Installation Guide
|
||||
|
||||
## Requirements
|
||||
|
||||
- Python 3.8 or higher
|
||||
- Rust 1.70 or higher (for building from source)
|
||||
- pip
|
||||
|
||||
## Install from PyPI
|
||||
|
||||
**Coming soon**: OptimizR will be available on PyPI.
|
||||
|
||||
```bash
|
||||
pip install optimizr
|
||||
```
|
||||
|
||||
## Install from Source
|
||||
|
||||
### Step 1: Clone Repository
|
||||
|
||||
```bash
|
||||
git clone https://github.com/ThotDjehuty/optimiz-r.git
|
||||
cd optimiz-r
|
||||
```
|
||||
|
||||
### Step 2: Install Maturin
|
||||
|
||||
[Maturin](https://github.com/PyO3/maturin) is required to build Rust-Python bindings:
|
||||
|
||||
```bash
|
||||
pip install maturin
|
||||
```
|
||||
|
||||
### Step 3: Build and Install
|
||||
|
||||
**Development mode** (editable install, useful for development):
|
||||
|
||||
```bash
|
||||
maturin develop --release
|
||||
```
|
||||
|
||||
**Production install** (creates wheel and installs):
|
||||
|
||||
```bash
|
||||
maturin build --release
|
||||
pip install target/wheels/optimizr-*.whl
|
||||
```
|
||||
|
||||
### Step 4: Verify Installation
|
||||
|
||||
```python
|
||||
import optimizr
|
||||
print(optimizr.__version__) # Should print "0.3.0"
|
||||
```
|
||||
|
||||
## Platform-Specific Notes
|
||||
|
||||
### macOS
|
||||
|
||||
If you encounter build errors on macOS:
|
||||
|
||||
1. Ensure Xcode Command Line Tools are installed:
|
||||
```bash
|
||||
xcode-select --install
|
||||
```
|
||||
|
||||
2. Install Rust via rustup:
|
||||
```bash
|
||||
curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh
|
||||
```
|
||||
|
||||
### Windows
|
||||
|
||||
1. Install Visual Studio Build Tools (2019 or later)
|
||||
2. Install Rust via [rustup-init.exe](https://rustup.rs/)
|
||||
3. Follow standard installation steps
|
||||
|
||||
### Linux
|
||||
|
||||
Requires GCC or Clang:
|
||||
|
||||
```bash
|
||||
# Ubuntu/Debian
|
||||
sudo apt-get install build-essential
|
||||
|
||||
# Fedora/RHEL
|
||||
sudo dnf install gcc gcc-c++
|
||||
```
|
||||
|
||||
## Troubleshooting
|
||||
|
||||
**Issue**: `maturin: command not found`
|
||||
|
||||
**Solution**: Ensure pip bin directory is in PATH:
|
||||
```bash
|
||||
export PATH="$HOME/.local/bin:$PATH" # Linux/macOS
|
||||
```
|
||||
|
||||
**Issue**: Rust compiler errors
|
||||
|
||||
**Solution**: Update Rust to latest stable:
|
||||
```bash
|
||||
rustup update stable
|
||||
```
|
||||
|
||||
**Issue**: ImportError when importing optimizr
|
||||
|
||||
**Solution**: Rebuild with correct Python version:
|
||||
```bash
|
||||
maturin develop --release -i python3.10 # Replace with your Python version
|
||||
```
|
||||
@@ -0,0 +1,125 @@
|
||||
# Quick Start Guide
|
||||
|
||||
## Your First Optimization
|
||||
|
||||
Let's optimize the classic **Rosenbrock function** using Differential Evolution:
|
||||
|
||||
```python
|
||||
import numpy as np
|
||||
from optimizr import DifferentialEvolution
|
||||
|
||||
# Define the Rosenbrock function
|
||||
def rosenbrock(x):
|
||||
return sum(100.0 * (x[1:] - x[:-1]**2)**2 + (1 - x[:-1])**2)
|
||||
|
||||
# Set up optimizer
|
||||
de = DifferentialEvolution(
|
||||
bounds=[(-5, 5)] * 10, # 10-dimensional problem
|
||||
strategy="best/1/bin",
|
||||
population_size=50,
|
||||
F=0.8,
|
||||
CR=0.9
|
||||
)
|
||||
|
||||
# Run optimization
|
||||
result = de.optimize(rosenbrock, max_iterations=200)
|
||||
|
||||
# Print results
|
||||
print(f"✓ Best fitness: {result.best_fitness:.6f}")
|
||||
print(f"✓ Best solution: {result.best_solution}")
|
||||
print(f"✓ Converged in {result.iterations} iterations")
|
||||
```
|
||||
|
||||
**Expected output:**
|
||||
```
|
||||
✓ Best fitness: 0.000002
|
||||
✓ Best solution: [1.0, 1.0, 1.0, ..., 1.0]
|
||||
✓ Converged in 174 iterations
|
||||
```
|
||||
|
||||
## Mean Field Games Example
|
||||
|
||||
Solve a **1D Mean Field Game** (agent population dynamics):
|
||||
|
||||
```python
|
||||
from optimizr import MFGSolver
|
||||
|
||||
# Define parameters
|
||||
solver = MFGSolver(
|
||||
nx=100, # Spatial grid points
|
||||
nt=50, # Time steps
|
||||
x_min=-5.0,
|
||||
x_max=5.0,
|
||||
T=1.0, # Terminal time
|
||||
epsilon=0.1, # Noise intensity
|
||||
kappa=1.0 # Congestion cost
|
||||
)
|
||||
|
||||
# Solve coupled HJB-Fokker-Planck system
|
||||
result = solver.solve()
|
||||
|
||||
# Access solution
|
||||
print(f"Value function shape: {result.value_function.shape}") # (50, 100)
|
||||
print(f"Density shape: {result.density.shape}") # (50, 100)
|
||||
print(f"Converged: {result.converged}")
|
||||
```
|
||||
|
||||
## Hidden Markov Model Example
|
||||
|
||||
Train an **HMM** on observed data:
|
||||
|
||||
```python
|
||||
import numpy as np
|
||||
from optimizr import HMMGaussian
|
||||
|
||||
# Generate synthetic data (2 hidden states, 1D observations)
|
||||
np.random.seed(42)
|
||||
observations = np.random.randn(1000, 1)
|
||||
|
||||
# Initialize HMM
|
||||
hmm = HMMGaussian(n_states=2, n_features=1)
|
||||
|
||||
# Train model
|
||||
hmm.fit(observations, max_iterations=100, tol=1e-6)
|
||||
|
||||
# Decode hidden state sequence
|
||||
states = hmm.decode(observations)
|
||||
print(f"Predicted states: {states[:20]}") # First 20 states
|
||||
```
|
||||
|
||||
## MCMC Sampling Example
|
||||
|
||||
Sample from a **posterior distribution**:
|
||||
|
||||
```python
|
||||
import numpy as np
|
||||
from optimizr import MetropolisHastings
|
||||
|
||||
# Define log-posterior (unnormalized)
|
||||
def log_posterior(x):
|
||||
# Gaussian prior: N(0, 1)
|
||||
prior = -0.5 * np.sum(x**2)
|
||||
# Likelihood: N(2, 0.5)
|
||||
likelihood = -0.5 * np.sum((x - 2)**2) / 0.25
|
||||
return prior + likelihood
|
||||
|
||||
# Initialize sampler
|
||||
sampler = MetropolisHastings(
|
||||
log_prob_fn=log_posterior,
|
||||
initial_state=np.zeros(5),
|
||||
proposal_scale=0.5
|
||||
)
|
||||
|
||||
# Generate samples
|
||||
samples = sampler.sample(n_samples=10000, burn_in=1000)
|
||||
|
||||
print(f"Posterior mean: {samples.mean(axis=0)}") # ~[1.6, 1.6, ...]
|
||||
print(f"Acceptance rate: {sampler.acceptance_rate:.2%}")
|
||||
```
|
||||
|
||||
## Next Steps
|
||||
|
||||
- **Explore algorithms**: See [Algorithms](algorithms/differential_evolution.md) for detailed guides
|
||||
- **API reference**: Check [API Reference](api/differential_evolution.md) for all parameters
|
||||
- **Examples**: Browse [examples/](https://github.com/ThotDjehuty/optimiz-r/tree/main/examples) for Jupyter notebooks
|
||||
- **Benchmarks**: See [Benchmarks](benchmarks.md) for performance comparisons
|
||||
Reference in New Issue
Block a user