{
    "info": {
        "author": "Guo Fei",
        "author_email": "guofei9987@foxmail.com",
        "bugtrack_url": null,
        "classifiers": [],
        "description": "\n\n# [scikit-opt](https://github.com/guofei9987/scikit-opt)\n\n[![PyPI](https://img.shields.io/pypi/v/scikit-opt)](https://pypi.org/project/scikit-opt/)\n[![Build Status](https://travis-ci.com/guofei9987/scikit-opt.svg?branch=master)](https://travis-ci.com/guofei9987/scikit-opt)\n[![codecov](https://codecov.io/gh/guofei9987/scikit-opt/branch/master/graph/badge.svg)](https://codecov.io/gh/guofei9987/scikit-opt)\n[![License](https://img.shields.io/pypi/l/scikit-opt.svg)](https://github.com/guofei9987/scikit-opt/blob/master/LICENSE)\n![Python](https://img.shields.io/badge/python->=3.5-green.svg)\n![Platform](https://img.shields.io/badge/platform-windows%20|%20linux%20|%20macos-green.svg)\n[![fork](https://img.shields.io/github/forks/guofei9987/scikit-opt?style=social)](https://github.com/guofei9987/scikit-opt/fork)\n[![Downloads](https://pepy.tech/badge/scikit-opt)](https://pepy.tech/project/scikit-opt)\n[![Discussions](https://img.shields.io/badge/discussions-green.svg)](https://github.com/guofei9987/scikit-opt/discussions)\n\n\n\n\nSwarm Intelligence in Python  \n(Genetic Algorithm, Particle Swarm Optimization, Simulated Annealing, Ant Colony Algorithm, Immune Algorithm,Artificial Fish Swarm Algorithm in Python)  \n\n\n- **Documentation:** [https://scikit-opt.github.io/scikit-opt/#/en/](https://scikit-opt.github.io/scikit-opt/#/en/)\n- **\u6587\u6863\uff1a** [https://scikit-opt.github.io/scikit-opt/#/zh/](https://scikit-opt.github.io/scikit-opt/#/zh/)  \n- **Source code:** [https://github.com/guofei9987/scikit-opt](https://github.com/guofei9987/scikit-opt)\n- **Help us improve scikit-opt** [https://www.wjx.cn/jq/50964691.aspx](https://www.wjx.cn/jq/50964691.aspx)\n\n# install\n```bash\npip install scikit-opt\n```\n\nFor the current developer version:\n```bach\ngit clone git@github.com:guofei9987/scikit-opt.git\ncd scikit-opt\npip install .\n```\n\n# Features\n## Feature1: UDF\n\n**UDF** (user defined function) is available now!\n\nFor example, you just worked out a new type of `selection` function.  \nNow, your `selection` function is like this:  \n-> Demo code: [examples/demo_ga_udf.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L1)\n```python\n# step1: define your own operator:\ndef selection_tournament(algorithm, tourn_size):\n    FitV = algorithm.FitV\n    sel_index = []\n    for i in range(algorithm.size_pop):\n        aspirants_index = np.random.choice(range(algorithm.size_pop), size=tourn_size)\n        sel_index.append(max(aspirants_index, key=lambda i: FitV[i]))\n    algorithm.Chrom = algorithm.Chrom[sel_index, :]  # next generation\n    return algorithm.Chrom\n\n\n```\n\nImport and build ga  \n-> Demo code: [examples/demo_ga_udf.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L12)\n```python\nimport numpy as np\nfrom sko.GA import GA, GA_TSP\n\ndemo_func = lambda x: x[0] ** 2 + (x[1] - 0.05) ** 2 + (x[2] - 0.5) ** 2\nga = GA(func=demo_func, n_dim=3, size_pop=100, max_iter=500, prob_mut=0.001,\n        lb=[-1, -10, -5], ub=[2, 10, 2], precision=[1e-7, 1e-7, 1])\n\n```\nRegist your udf to GA  \n-> Demo code: [examples/demo_ga_udf.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L20)\n```python\nga.register(operator_name='selection', operator=selection_tournament, tourn_size=3)\n```\n\nscikit-opt also provide some operators  \n-> Demo code: [examples/demo_ga_udf.py#s4](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L22)\n```python\nfrom sko.operators import ranking, selection, crossover, mutation\n\nga.register(operator_name='ranking', operator=ranking.ranking). \\\n    register(operator_name='crossover', operator=crossover.crossover_2point). \\\n    register(operator_name='mutation', operator=mutation.mutation)\n```\nNow do GA as usual  \n-> Demo code: [examples/demo_ga_udf.py#s5](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L28)\n```python\nbest_x, best_y = ga.run()\nprint('best_x:', best_x, '\\n', 'best_y:', best_y)\n```\n\n> Until Now, the **udf** surport `crossover`, `mutation`, `selection`, `ranking` of GA\n> scikit-opt provide a dozen of operators, see [here](https://github.com/guofei9987/scikit-opt/tree/master/sko/operators)\n\nFor advanced users:\n\n-> Demo code: [examples/demo_ga_udf.py#s6](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_udf.py#L31)\n```python\nclass MyGA(GA):\n    def selection(self, tourn_size=3):\n        FitV = self.FitV\n        sel_index = []\n        for i in range(self.size_pop):\n            aspirants_index = np.random.choice(range(self.size_pop), size=tourn_size)\n            sel_index.append(max(aspirants_index, key=lambda i: FitV[i]))\n        self.Chrom = self.Chrom[sel_index, :]  # next generation\n        return self.Chrom\n\n    ranking = ranking.ranking\n\n\ndemo_func = lambda x: x[0] ** 2 + (x[1] - 0.05) ** 2 + (x[2] - 0.5) ** 2\nmy_ga = MyGA(func=demo_func, n_dim=3, size_pop=100, max_iter=500, lb=[-1, -10, -5], ub=[2, 10, 2],\n             precision=[1e-7, 1e-7, 1])\nbest_x, best_y = my_ga.run()\nprint('best_x:', best_x, '\\n', 'best_y:', best_y)\n```\n\n##  feature2: continue to run\n(New in version 0.3.6)  \nRun an algorithm for 10 iterations, and then run another 20 iterations base on the 10 iterations before:\n```python\nfrom sko.GA import GA\n\nfunc = lambda x: x[0] ** 2\nga = GA(func=func, n_dim=1)\nga.run(10)\nga.run(20)\n```\n\n## feature3: 4-ways to accelerate\n- vectorization\n- multithreading\n- multiprocessing\n- cached\n\nsee [https://github.com/guofei9987/scikit-opt/blob/master/examples/example_function_modes.py](https://github.com/guofei9987/scikit-opt/blob/master/examples/example_function_modes.py)\n\n\n\n## feature4: GPU computation\n We are developing GPU computation, which will be stable on version 1.0.0  \nAn example is already available: [https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_gpu.py](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_gpu.py)\n\n\n# Quick start\n\n## 1. Differential Evolution\n**Step1**\uff1adefine your problem  \n-> Demo code: [examples/demo_de.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_de.py#L1)\n```python\n'''\nmin f(x1, x2, x3) = x1^2 + x2^2 + x3^2\ns.t.\n    x1*x2 >= 1\n    x1*x2 <= 5\n    x2 + x3 = 1\n    0 <= x1, x2, x3 <= 5\n'''\n\n\ndef obj_func(p):\n    x1, x2, x3 = p\n    return x1 ** 2 + x2 ** 2 + x3 ** 2\n\n\nconstraint_eq = [\n    lambda x: 1 - x[1] - x[2]\n]\n\nconstraint_ueq = [\n    lambda x: 1 - x[0] * x[1],\n    lambda x: x[0] * x[1] - 5\n]\n\n```\n\n**Step2**: do Differential Evolution  \n-> Demo code: [examples/demo_de.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_de.py#L25)\n```python\nfrom sko.DE import DE\n\nde = DE(func=obj_func, n_dim=3, size_pop=50, max_iter=800, lb=[0, 0, 0], ub=[5, 5, 5],\n        constraint_eq=constraint_eq, constraint_ueq=constraint_ueq)\n\nbest_x, best_y = de.run()\nprint('best_x:', best_x, '\\n', 'best_y:', best_y)\n\n```\n\n## 2. Genetic Algorithm\n\n**Step1**\uff1adefine your problem  \n-> Demo code: [examples/demo_ga.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga.py#L1)\n```python\nimport numpy as np\n\n\ndef schaffer(p):\n    '''\n    This function has plenty of local minimum, with strong shocks\n    global minimum at (0,0) with value 0\n    https://en.wikipedia.org/wiki/Test_functions_for_optimization\n    '''\n    x1, x2 = p\n    part1 = np.square(x1) - np.square(x2)\n    part2 = np.square(x1) + np.square(x2)\n    return 0.5 + (np.square(np.sin(part1)) - 0.5) / np.square(1 + 0.001 * part2)\n\n\n```\n\n**Step2**: do Genetic Algorithm  \n-> Demo code: [examples/demo_ga.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga.py#L16)\n```python\nfrom sko.GA import GA\n\nga = GA(func=schaffer, n_dim=2, size_pop=50, max_iter=800, prob_mut=0.001, lb=[-1, -1], ub=[1, 1], precision=1e-7)\nbest_x, best_y = ga.run()\nprint('best_x:', best_x, '\\n', 'best_y:', best_y)\n```\n\n-> Demo code: [examples/demo_ga.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga.py#L22)\n```python\nimport pandas as pd\nimport matplotlib.pyplot as plt\n\nY_history = pd.DataFrame(ga.all_history_Y)\nfig, ax = plt.subplots(2, 1)\nax[0].plot(Y_history.index, Y_history.values, '.', color='red')\nY_history.min(axis=1).cummin().plot(kind='line')\nplt.show()\n```\n\n![Figure_1-1](https://img1.github.io/heuristic_algorithm/ga_1.png)\n\n### 2.2 Genetic Algorithm for TSP(Travelling Salesman Problem)\nJust import the `GA_TSP`, it overloads the `crossover`, `mutation` to solve the TSP\n\n**Step1**: define your problem. Prepare your points coordinate and the distance matrix.  \nHere I generate the data randomly as a demo:  \n-> Demo code: [examples/demo_ga_tsp.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_tsp.py#L1)\n```python\nimport numpy as np\nfrom scipy import spatial\nimport matplotlib.pyplot as plt\n\nnum_points = 50\n\npoints_coordinate = np.random.rand(num_points, 2)  # generate coordinate of points\ndistance_matrix = spatial.distance.cdist(points_coordinate, points_coordinate, metric='euclidean')\n\n\ndef cal_total_distance(routine):\n    '''The objective function. input routine, return total distance.\n    cal_total_distance(np.arange(num_points))\n    '''\n    num_points, = routine.shape\n    return sum([distance_matrix[routine[i % num_points], routine[(i + 1) % num_points]] for i in range(num_points)])\n\n\n```\n\n**Step2**: do GA  \n-> Demo code: [examples/demo_ga_tsp.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_tsp.py#L19)\n```python\n\nfrom sko.GA import GA_TSP\n\nga_tsp = GA_TSP(func=cal_total_distance, n_dim=num_points, size_pop=50, max_iter=500, prob_mut=1)\nbest_points, best_distance = ga_tsp.run()\n\n```\n\n**Step3**: Plot the result:  \n-> Demo code: [examples/demo_ga_tsp.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ga_tsp.py#L26)\n```python\nfig, ax = plt.subplots(1, 2)\nbest_points_ = np.concatenate([best_points, [best_points[0]]])\nbest_points_coordinate = points_coordinate[best_points_, :]\nax[0].plot(best_points_coordinate[:, 0], best_points_coordinate[:, 1], 'o-r')\nax[1].plot(ga_tsp.generation_best_Y)\nplt.show()\n```\n\n![GA_TPS](https://img1.github.io/heuristic_algorithm/ga_tsp.png)\n\n\n## 3. PSO(Particle swarm optimization)\n\n### 3.1 PSO\n**Step1**: define your problem:  \n-> Demo code: [examples/demo_pso.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_pso.py#L1)\n```python\ndef demo_func(x):\n    x1, x2, x3 = x\n    return x1 ** 2 + (x2 - 0.05) ** 2 + x3 ** 2\n\n\n```\n\n**Step2**: do PSO  \n-> Demo code: [examples/demo_pso.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_pso.py#L6)\n```python\nfrom sko.PSO import PSO\n\npso = PSO(func=demo_func, n_dim=3, pop=40, max_iter=150, lb=[0, -1, 0.5], ub=[1, 1, 1], w=0.8, c1=0.5, c2=0.5)\npso.run()\nprint('best_x is ', pso.gbest_x, 'best_y is', pso.gbest_y)\n\n```\n\n**Step3**: Plot the result  \n-> Demo code: [examples/demo_pso.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_pso.py#L13)\n```python\nimport matplotlib.pyplot as plt\n\nplt.plot(pso.gbest_y_hist)\nplt.show()\n```\n\n\n![PSO_TPS](https://img1.github.io/heuristic_algorithm/pso.png)\n\n### 3.2 PSO with nonlinear constraint\n\nIf you need nolinear constraint like `(x[0] - 1) ** 2 + (x[1] - 0) ** 2 - 0.5 ** 2<=0`  \nCodes are like this:\n```python\nconstraint_ueq = (\n    lambda x: (x[0] - 1) ** 2 + (x[1] - 0) ** 2 - 0.5 ** 2\n    ,\n)\npso = PSO(func=demo_func, n_dim=2, pop=40, max_iter=max_iter, lb=[-2, -2], ub=[2, 2]\n          , constraint_ueq=constraint_ueq)\n```\n\nNote that, you can add more then one nonlinear constraint. Just add it to `constraint_ueq`\n\nMore over, we have an animation:  \n![pso_ani](https://img1.github.io/heuristic_algorithm/pso.gif)  \n\u2191**see [examples/demo_pso_ani.py](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_pso_ani.py)**\n\n\n## 4. SA(Simulated Annealing)\n### 4.1 SA for multiple function\n**Step1**: define your problem  \n-> Demo code: [examples/demo_sa.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa.py#L1)\n```python\ndemo_func = lambda x: x[0] ** 2 + (x[1] - 0.05) ** 2 + x[2] ** 2\n\n```\n**Step2**: do SA  \n-> Demo code: [examples/demo_sa.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa.py#L3)\n```python\nfrom sko.SA import SA\n\nsa = SA(func=demo_func, x0=[1, 1, 1], T_max=1, T_min=1e-9, L=300, max_stay_counter=150)\nbest_x, best_y = sa.run()\nprint('best_x:', best_x, 'best_y', best_y)\n\n```\n\n**Step3**: Plot the result  \n-> Demo code: [examples/demo_sa.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa.py#L10)\n```python\nimport matplotlib.pyplot as plt\nimport pandas as pd\n\nplt.plot(pd.DataFrame(sa.best_y_history).cummin(axis=0))\nplt.show()\n\n```\n![sa](https://img1.github.io/heuristic_algorithm/sa.png)\n\n\nMoreover, scikit-opt provide 3 types of Simulated Annealing: Fast, Boltzmann, Cauchy. See [more sa](https://scikit-opt.github.io/scikit-opt/#/en/more_sa)\n### 4.2 SA for TSP\n**Step1**: oh, yes, define your problems. To boring to copy this step.  \n\n**Step2**: DO SA for TSP  \n-> Demo code: [examples/demo_sa_tsp.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa_tsp.py#L21)\n```python\nfrom sko.SA import SA_TSP\n\nsa_tsp = SA_TSP(func=cal_total_distance, x0=range(num_points), T_max=100, T_min=1, L=10 * num_points)\n\nbest_points, best_distance = sa_tsp.run()\nprint(best_points, best_distance, cal_total_distance(best_points))\n```\n\n**Step3**: plot the result  \n-> Demo code: [examples/demo_sa_tsp.py#s3](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa_tsp.py#L28)\n```python\nfrom matplotlib.ticker import FormatStrFormatter\n\nfig, ax = plt.subplots(1, 2)\n\nbest_points_ = np.concatenate([best_points, [best_points[0]]])\nbest_points_coordinate = points_coordinate[best_points_, :]\nax[0].plot(sa_tsp.best_y_history)\nax[0].set_xlabel(\"Iteration\")\nax[0].set_ylabel(\"Distance\")\nax[1].plot(best_points_coordinate[:, 0], best_points_coordinate[:, 1],\n           marker='o', markerfacecolor='b', color='c', linestyle='-')\nax[1].xaxis.set_major_formatter(FormatStrFormatter('%.3f'))\nax[1].yaxis.set_major_formatter(FormatStrFormatter('%.3f'))\nax[1].set_xlabel(\"Longitude\")\nax[1].set_ylabel(\"Latitude\")\nplt.show()\n\n```\n![sa](https://img1.github.io/heuristic_algorithm/sa_tsp.png)\n\n\nMore: Plot the animation:  \n\n![sa](https://img1.github.io/heuristic_algorithm/sa_tsp1.gif)  \n\u2191**see [examples/demo_sa_tsp.py](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_sa_tsp.py)**\n\n\n\n\n## 5. ACA (Ant Colony Algorithm) for tsp\n-> Demo code: [examples/demo_aca_tsp.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_aca_tsp.py#L17)\n```python\nfrom sko.ACA import ACA_TSP\n\naca = ACA_TSP(func=cal_total_distance, n_dim=num_points,\n              size_pop=50, max_iter=200,\n              distance_matrix=distance_matrix)\n\nbest_x, best_y = aca.run()\n\n```\n\n![ACA](https://img1.github.io/heuristic_algorithm/aca_tsp.png)\n\n\n## 6. immune algorithm (IA)\n-> Demo code: [examples/demo_ia.py#s2](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_ia.py#L6)\n```python\n\nfrom sko.IA import IA_TSP\n\nia_tsp = IA_TSP(func=cal_total_distance, n_dim=num_points, size_pop=500, max_iter=800, prob_mut=0.2,\n                T=0.7, alpha=0.95)\nbest_points, best_distance = ia_tsp.run()\nprint('best routine:', best_points, 'best_distance:', best_distance)\n\n```\n\n![IA](https://img1.github.io/heuristic_algorithm/ia2.png)\n\n## 7. Artificial Fish Swarm Algorithm (AFSA)\n-> Demo code: [examples/demo_afsa.py#s1](https://github.com/guofei9987/scikit-opt/blob/master/examples/demo_afsa.py#L1)\n```python\ndef func(x):\n    x1, x2 = x\n    return 1 / x1 ** 2 + x1 ** 2 + 1 / x2 ** 2 + x2 ** 2\n\n\nfrom sko.AFSA import AFSA\n\nafsa = AFSA(func, n_dim=2, size_pop=50, max_iter=300,\n            max_try_num=100, step=0.5, visual=0.3,\n            q=0.98, delta=0.5)\nbest_x, best_y = afsa.run()\nprint(best_x, best_y)\n```\n\n\n# Projects using scikit-opt\n\n- [Yu, J., He, Y., Yan, Q., & Kang, X. (2021). SpecView: Malware Spectrum Visualization Framework With Singular Spectrum Transformation. IEEE Transactions on Information Forensics and Security, 16, 5093-5107.](https://ieeexplore.ieee.org/abstract/document/9607026/)\n- [Zhen, H., Zhai, H., Ma, W., Zhao, L., Weng, Y., Xu, Y., ... & He, X. (2021). Design and tests of reinforcement-learning-based optimal power flow solution generator. Energy Reports.](https://www.sciencedirect.com/science/article/pii/S2352484721012737)\n- [Heinrich, K., Zschech, P., Janiesch, C., & Bonin, M. (2021). Process data properties matter: Introducing gated convolutional neural networks (GCNN) and key-value-predict attention networks (KVP) for next event prediction with deep learning. Decision Support Systems, 143, 113494.](https://www.sciencedirect.com/science/article/pii/S016792362100004X)\n- [Tang, H. K., & Goh, S. K. (2021). A Novel Non-population-based Meta-heuristic Optimizer Inspired by the Philosophy of Yi Jing. arXiv preprint arXiv:2104.08564.](https://arxiv.org/abs/2104.08564)\n- [Wu, G., Li, L., Li, X., Chen, Y., Chen, Z., Qiao, B., ... & Xia, L. (2021). Graph embedding based real-time social event matching for EBSNs recommendation. World Wide Web, 1-22.](https://link.springer.com/article/10.1007/s11280-021-00934-y)\n- [Pan, X., Zhang, Z., Zhang, H., Wen, Z., Ye, W., Yang, Y., ... & Zhao, X. (2021). A fast and robust mixture gases identification and concentration detection algorithm based on attention mechanism equipped recurrent neural network with double loss function. Sensors and Actuators B: Chemical, 342, 129982.](https://www.sciencedirect.com/science/article/abs/pii/S0925400521005517)\n- [Castella Balcell, M. (2021). Optimization of the station keeping system for the WindCrete floating offshore wind turbine.](https://upcommons.upc.edu/handle/2117/350262)\n- [Zhai, B., Wang, Y., Wang, W., & Wu, B. (2021). Optimal Variable Speed Limit Control Strategy on Freeway Segments under Fog Conditions. arXiv preprint arXiv:2107.14406.](https://arxiv.org/abs/2107.14406)\n- [Yap, X. H. (2021). Multi-label classification on locally-linear data: Application to chemical toxicity prediction.](https://etd.ohiolink.edu/apexprod/rws_olink/r/1501/10?clear=10&p10_accession_num=wright162901936395651)\n- [Gebhard, L. (2021). Expansion Planning of Low-Voltage Grids Using Ant Colony Optimization Ausbauplanung von Niederspannungsnetzen mithilfe eines Ameisenalgorithmus.](https://ad-publications.cs.uni-freiburg.de/theses/Master_Lukas_Gebhard_2021.pdf)\n- [Ma, X., Zhou, H., & Li, Z. (2021). Optimal Design for Interdependencies between Hydrogen and Power Systems. IEEE Transactions on Industry Applications.](https://ieeexplore.ieee.org/abstract/document/9585654)\n- [de Curso, T. D. C. (2021). 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