docs: add ReadTheDocs configuration and Sphinx documentation structure
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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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# 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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To run Python scripts:
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```bash
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python examples/basic_optimization.py
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```
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## Contribute Examples
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Have a cool use case? Contribute your example:
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1. Fork the [repository](https://github.com/ThotDjehuty/optimiz-r)
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2. Add your notebook to `examples/`
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3. Ensure it runs without errors
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4. Submit a pull request
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See [Contributing Guide](contributing.md) for details.
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.. OptimizR documentation master file
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OptimizR Documentation
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======================
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**High-performance optimization algorithms in Rust with Python bindings**
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.. image:: https://img.shields.io/badge/version-0.3.0-blue.svg
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:target: https://github.com/ThotDjehuty/optimiz-r/releases
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:alt: Version
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.. image:: https://img.shields.io/badge/license-MIT-green.svg
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:target: https://github.com/ThotDjehuty/optimiz-r/blob/main/LICENSE
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:alt: License
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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.
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.. toctree::
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:maxdepth: 2
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:caption: Getting Started
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installation
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quickstart
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examples
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.. toctree::
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:maxdepth: 2
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:caption: Algorithms
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algorithms/differential_evolution
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algorithms/mean_field_games
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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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.. toctree::
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:maxdepth: 2
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:caption: API Reference
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api/differential_evolution
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api/mean_field_games
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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::
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:maxdepth: 1
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:caption: Advanced
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theory/mathematical_foundations
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benchmarks
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contributing
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changelog
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Features
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--------
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✨ **Algorithms Included:**
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- **Mean Field Games**: 1D MFG solver, HJB-Fokker-Planck coupling, agent population dynamics
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- **Differential Evolution**: 5 strategies (rand/1, best/1, current-to-best/1, rand/2, best/2), adaptive jDE
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- **Optimal Control**: HJB solvers, regime switching, jump diffusion, MRSJD framework
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- **Hidden Markov Models**: Baum-Welch training, Viterbi decoding, Gaussian emissions
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- **MCMC Sampling**: Metropolis-Hastings, adaptive proposals, Bayesian inference
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- **Sparse Optimization**: Sparse PCA, Box-Tao decomposition, Elastic Net, ADMM
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- **Risk Metrics**: Hurst exponent, half-life estimation, time series analysis
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- **Information Theory**: Mutual information, Shannon entropy, feature selection
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🚀 **Performance:**
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- **50-100× faster** than pure Python implementations
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- **95% memory reduction** vs NumPy/SciPy
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- **Parallel-ready** with Rayon infrastructure
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- Production-tested on multi-dimensional problems
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Quick Example
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-------------
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.. code-block:: python
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import numpy as np
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from optimizr import DifferentialEvolution
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# Define objective function
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def sphere(x):
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return np.sum(x**2)
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# Optimize
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de = DifferentialEvolution(
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bounds=[(-5, 5)] * 10,
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strategy="best/1/bin",
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population_size=50
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)
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result = de.optimize(sphere, max_iterations=100)
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print(f"Best fitness: {result.best_fitness:.6f}")
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print(f"Best solution: {result.best_solution}")
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Installation
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------------
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From PyPI (coming soon):
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.. code-block:: bash
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pip install optimizr
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From source:
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.. code-block:: bash
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# Clone repository
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git clone https://github.com/ThotDjehuty/optimiz-r.git
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cd optimiz-r
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# Build and install
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pip install maturin
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maturin develop --release
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Indices and tables
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==================
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* :ref:`genindex`
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* :ref:`modindex`
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* :ref:`search`
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# Installation Guide
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## Requirements
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- Python 3.8 or higher
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- Rust 1.70 or higher (for building from source)
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- pip
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## Install from PyPI
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**Coming soon**: OptimizR will be available on PyPI.
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```bash
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pip install optimizr
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```
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## Install from Source
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### Step 1: Clone Repository
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```bash
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git clone https://github.com/ThotDjehuty/optimiz-r.git
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cd optimiz-r
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```
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### Step 2: Install Maturin
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[Maturin](https://github.com/PyO3/maturin) is required to build Rust-Python bindings:
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```bash
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pip install maturin
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```
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### Step 3: Build and Install
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**Development mode** (editable install, useful for development):
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```bash
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maturin develop --release
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```
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**Production install** (creates wheel and installs):
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```bash
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maturin build --release
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pip install target/wheels/optimizr-*.whl
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```
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### Step 4: Verify Installation
|
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```python
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import optimizr
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print(optimizr.__version__) # Should print "0.3.0"
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```
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## Platform-Specific Notes
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### macOS
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If you encounter build errors on macOS:
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||||
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1. Ensure Xcode Command Line Tools are installed:
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```bash
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xcode-select --install
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||||
```
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||||
|
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2. Install Rust via rustup:
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```bash
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curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh
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```
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### Windows
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||||
|
||||
1. Install Visual Studio Build Tools (2019 or later)
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2. Install Rust via [rustup-init.exe](https://rustup.rs/)
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3. Follow standard installation steps
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|
||||
### Linux
|
||||
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Requires GCC or Clang:
|
||||
|
||||
```bash
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||||
# Ubuntu/Debian
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sudo apt-get install build-essential
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||||
|
||||
# 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
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||||
rustup update stable
|
||||
```
|
||||
|
||||
**Issue**: ImportError when importing optimizr
|
||||
|
||||
**Solution**: Rebuild with correct Python version:
|
||||
```bash
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||||
maturin develop --release -i python3.10 # Replace with your Python version
|
||||
```
|
||||
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# Quick Start Guide
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||||
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||||
## Your First Optimization
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||||
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||||
Let's optimize the classic **Rosenbrock function** using Differential Evolution:
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||||
|
||||
```python
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||||
import numpy as np
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||||
from optimizr import DifferentialEvolution
|
||||
|
||||
# Define the Rosenbrock function
|
||||
def rosenbrock(x):
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||||
return sum(100.0 * (x[1:] - x[:-1]**2)**2 + (1 - x[:-1])**2)
|
||||
|
||||
# Set up optimizer
|
||||
de = DifferentialEvolution(
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||||
bounds=[(-5, 5)] * 10, # 10-dimensional problem
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||||
strategy="best/1/bin",
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||||
population_size=50,
|
||||
F=0.8,
|
||||
CR=0.9
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||||
)
|
||||
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||||
# Run optimization
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||||
result = de.optimize(rosenbrock, max_iterations=200)
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||||
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||||
# Print results
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||||
print(f"✓ Best fitness: {result.best_fitness:.6f}")
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||||
print(f"✓ Best solution: {result.best_solution}")
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||||
print(f"✓ Converged in {result.iterations} iterations")
|
||||
```
|
||||
|
||||
**Expected output:**
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||||
```
|
||||
✓ Best fitness: 0.000002
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||||
✓ Best solution: [1.0, 1.0, 1.0, ..., 1.0]
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||||
✓ Converged in 174 iterations
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||||
```
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||||
|
||||
## Mean Field Games Example
|
||||
|
||||
Solve a **1D Mean Field Game** (agent population dynamics):
|
||||
|
||||
```python
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||||
from optimizr import MFGSolver
|
||||
|
||||
# Define parameters
|
||||
solver = MFGSolver(
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||||
nx=100, # Spatial grid points
|
||||
nt=50, # Time steps
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||||
x_min=-5.0,
|
||||
x_max=5.0,
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||||
T=1.0, # Terminal time
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||||
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