{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "# Example 2: A Hybrid Neuroptimiser with a problem from COCO\n", "This example demonstrates how to use the Neuroptimiser library to solve an optimisation problem from the COCO framework. The problem is defined by its ID and instance, and the Neuroptimiser is configured with a set of parameters for the agents." ], "id": "8adf569f028839ad" }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 1. Setup\n", "Import necessary libraries and set up the environment for plotting." ], "id": "fb33b2b07c748040" }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2025-06-17T16:11:22.371164Z", "start_time": "2025-06-17T16:11:22.360381Z" } }, "source": [ "# Import necessary libraries\n", "import os\n", "import shutil\n", "from copy import deepcopy\n", "import random\n", "import seaborn as sns\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.colors import ListedColormap\n", "\n", "from neuroptimiser import NeurOptimiser\n", "import cocoex as ex\n", "\n", "# Set up the plotting style and parameters\n", "width = 6.5\n", "height = width * 0.618\n", "res_dpi = 333\n", "\n", "seed = 42\n", "random.seed(seed)\n", "np.random.seed(seed)\n", "\n", "root_figures = \"./figures/\"\n", "\n", "plt.style.context('paper')\n", "sns.set_style(\"ticks\")\n", "plt.rcParams['font.family'] = 'serif'\n", "plt.rcParams['axes.labelsize'] = 11\n", "plt.rcParams['xtick.labelsize'] = 11\n", "plt.rcParams['ytick.labelsize'] = 11\n", "plt.rcParams['legend.fontsize'] = 11\n", "plt.rcParams['axes.grid'] = False\n", "plt.rcParams['axes.spines.top'] = True\n", "plt.rcParams['axes.spines.right'] = True\n", "plt.rcParams['axes.edgecolor'] = 'black'\n", "plt.rcParams['xtick.color'] = 'black'\n", "plt.rcParams['ytick.color'] = 'black'\n", "plt.rcParams['axes.labelcolor'] = 'black'\n", "\n", "if shutil.which(\"pdflatex\") is not None:\n", " plt.rcParams['text.usetex'] = True\n", " plt.rcParams['font.serif'] = ['Computer Modern Roman']\n", "else:\n", " plt.rcParams['text.usetex'] = False\n", "\n", "def save_this(fig, _in=\"\"):\n", " if is_saving:\n", " os.makedirs(f\"{root_figures}/\" + _in, exist_ok=True)\n", " fig.savefig(root_figures + _in + \"/\" + prefix_filename + \".png\", transparent=True, dpi=res_dpi, bbox_inches=\"tight\")\n", " else:\n", " plt.show()" ], "outputs": [], "execution_count": 239 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 2. Parameter definition\n", "In this section, we define the problem parameters, including the number of steps, problem ID, instance, dimensions. In addition, we set the custom parameters for the Neuroptimiser, which will replace the default parameters of the spiking core." ], "id": "f97a0bd88a8b9c7d" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:22.390309Z", "start_time": "2025-06-17T16:11:22.386253Z" } }, "cell_type": "code", "source": [ "# Define the problem parameters\n", "num_steps = 333 # Number of iterations\n", "problem_id = 10 # Problem ID from the IOH framework\n", "problem_ins = 1 # Problem instance\n", "num_dimensions = 2 # Number of dimensions for the problem\n", "num_agents = 30 # Number of agents/units in the Neuroptimiser\n", "num_neighbours = 10 # Number of neighbours for each agent/unit\n", "\n", "# Define the Neuroptimiser parameters\n", "neuropt_name = \"neuropt_Ex2-Hyb\"\n", "\n", "config_params = dict(\n", " num_iterations = num_steps,\n", " num_agents = num_agents,\n", " spiking_core = \"TwoDimSpikingCore\",\n", " num_neighbours = num_neighbours,\n", " neuron_topology = \"2dr\",\n", " unit_topology = \"random\",\n", ")\n", "\n", "neuropt_custom_params = [ # Specify the custom parameters for the spiking cores\n", " {\"name\": \"linear\", # (uncomment to make 50% or 33% of the units use this core)\n", " \"coeffs\": \"random\",\n", " \"spk_cond\": \"l1\",\n", " \"hs_operator\": \"differential\",\n", " \"hs_variant\": \"rand-to-best\"\n", " },\n", " # {\"name\": \"linear\", # 33% of the units will use this core\n", " # \"coeffs\": \"repeller\",\n", " # \"spk_cond\": \"l1\",\n", " # \"hs_operator\": \"differential\",\n", " # \"hs_variant\": \"rand-to-best\",\n", " # },\n", " # {\"name\": \"izhikevich\", # 33% of the units will use this core\n", " # \"coeffs\": \"random\",\n", " # \"spk_cond\": \"fixed\",\n", " # \"hs_operator\": \"differential\",\n", " # \"hs_variant\": \"current-to-pbest\",\n", " # },\n", "]\n", "\n", "# Additional parameters\n", "is_saving = True # Whether to save the figures or not\n", "prefix_filename = (f\"{neuropt_name}_\"\n", " f\"{problem_id}p_\"\n", " f\"{problem_ins}i_\"\n", " f\"{num_dimensions}d_\"\n", " f\"{num_steps}s_\"\n", " f\"{num_agents}u\")\n", "plt.close()\n", "if is_saving:\n", " print(f\"prefix_filename: '{prefix_filename}'\")" ], "id": "ffcbc9470bdb0f38", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "prefix_filename: 'neuropt_Ex2-Hyb_10p_1i_2d_333s_30u'\n" ] } ], "execution_count": 240 }, { "metadata": {}, "cell_type": "markdown", "source": "Process the default parameters for the spiking core and applies any custom parameters specified in `neuropt_custom_params`.", "id": "a967d98ac939b507" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:22.412705Z", "start_time": "2025-06-17T16:11:22.409237Z" } }, "cell_type": "code", "source": [ "# Set up the default core parameters for the Neuroptimiser\n", "default_core_params = dict(\n", " alpha = 1.0,\n", " dt = 0.01,\n", " max_steps = num_steps,\n", " noise_std = (0.0, 0.3),\n", " ref_mode = \"pg\",\n", " is_bounded = True,\n", " name = \"linear\",\n", " coeffs = \"random\",\n", " approx = \"rk4\",\n", " thr_mode = \"fixed\",\n", " thr_alpha = 2.0,\n", " thr_min = 1e-6,\n", " thr_max = 1.0,\n", " thr_k = 0.05,\n", " spk_cond = \"fixed\",\n", " spk_alpha = 0.25,\n", " hs_operator = \"fixed\",\n", " hs_variant = \"current-to-rand\",\n", ")\n", "\n", "# Process the custom parameters for the Neuroptimiser\n", "if neuropt_custom_params is None:\n", " neuropt_custom_params = [{}]\n", "\n", "core_params = []\n", "for i in range(num_agents):\n", " p = deepcopy(default_core_params)\n", " override = neuropt_custom_params[i % len(neuropt_custom_params)]\n", " p.update(override)\n", " core_params.append(p)" ], "id": "de09e467fbe7fbde", "outputs": [], "execution_count": 241 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 3. Problem setup and optimisation\n", "We first retrieve the problem from the IOH framework." ], "id": "f3a7caa4f24c16a2" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:22.431104Z", "start_time": "2025-06-17T16:11:22.427458Z" } }, "cell_type": "code", "source": [ "# Get the problem from the COCO framework\n", "observer = ex.Observer(\"bbob\", \"result_folder: %s_on_%s\" % (neuropt_name, \"bbob2009\"))\n", "suite = ex.Suite(\"bbob\", \"\", \"dimensions:2 instance_indices:1\")\n", "problem = suite.get_problem(problem_id)\n", "\n", "problem.observe_with(observer)\n", "# problem.free()\n", "print(problem)" ], "id": "bf463a0cd2859a27", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "bbob_f011_i01_d02: a 2-dimensional single-objective problem (problem 150 of suite \"b'bbob'\" with name \"bbob(BBOB suite problem f11 instance 1 in 2D)\")COCO INFO: Results will be output to folder exdata/neuropt_Ex2-Hyb_on_bbob2009-0078\n", "\n" ] } ], "execution_count": 242 }, { "metadata": {}, "cell_type": "markdown", "source": "Then, we instantiate the Neuroptimiser with the defined parameters and solve the problem. The `debug_mode` is set to `True` to enable detailed logging of the optimisation process.", "id": "f3bc216156714f0c" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:43.408178Z", "start_time": "2025-06-17T16:11:22.446115Z" } }, "cell_type": "code", "source": [ "# Instantiation\n", "optimiser = NeurOptimiser(config_params, core_params)\n", "\n", "# Solve the problem\n", "optimiser.solve(problem, debug_mode=True)" ], "id": "8c6f19c161e212f2", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[neuropt:log] Debug mode is enabled. Monitoring will be activated.\n", "[neuropt:log] Parameters are set up.\n", "[neuropt:log] Initial positions and topologies are set up.\n", "[neuropt:log] Tensor contraction layer, neighbourhood manager, and high-level selection unit are created.\n", "[neuropt:log] Population of nheuristic units is created.\n", "[neuropt:log] Connections between nheuristic units and auxiliary processes are established.\n", "[neuropt:log] Monitors are set up.\n", "[neuropt:log] Starting simulation with 333 iterations...\n", "... step: 0, best fitness: 35809.7890625\n", "... step: 33, best fitness: 101.95655059814453\n", "... step: 66, best fitness: 81.49549102783203\n", "... step: 99, best fitness: 81.49549102783203\n", "... step: 132, best fitness: 81.49549102783203\n", "... step: 165, best fitness: 80.59732055664062\n", "... step: 198, best fitness: 76.71781158447266\n", "... step: 231, best fitness: 76.71781158447266\n", "... step: 264, best fitness: 76.71781158447266\n", "... step: 297, best fitness: 76.71781158447266\n", "... step: 330, best fitness: 76.71781158447266\n", "... step: 332, best fitness: 76.71781158447266\n", "[neuropt:log] Simulation completed. Fetching monitor data... done\n" ] }, { "data": { "text/plain": [ "(array([-1.25912279, -3.04951727]), array([76.71781158]))" ] }, "execution_count": 243, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 243 }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:43.479930Z", "start_time": "2025-06-17T16:11:43.476745Z" } }, "cell_type": "code", "source": [ "# Show the overall configuration parameters of the optimiser\n", "print(optimiser.config_params)" ], "id": "60105544faa27bd4", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'num_iterations': 333, 'num_agents': 30, 'spiking_core': 'TwoDimSpikingCore', 'num_neighbours': 10, 'neuron_topology': '2dr', 'unit_topology': 'random', 'search_space': array([[-5., 5.],\n", " [-5., 5.]]), 'function': .scaled_problem at 0x1690fc670>, 'num_dimensions': 2, 'seed': 69, 'core_params': {}}\n" ] } ], "execution_count": 244 }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:43.577161Z", "start_time": "2025-06-17T16:11:43.541131Z" } }, "cell_type": "code", "source": [ "# Show the core parameters used in the optimisation\n", "pd.DataFrame(optimiser.core_params)" ], "id": "c155429c96860ed6", "outputs": [ { "data": { "text/plain": [ " alpha dt max_steps noise_std ref_mode is_bounded name coeffs \\\n", "0 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "1 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "2 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "3 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "4 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "5 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "6 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "7 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "8 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "9 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "10 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "11 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "12 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "13 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "14 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "15 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "16 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "17 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "18 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "19 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "20 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "21 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "22 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "23 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "24 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "25 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "26 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "27 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "28 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "29 1.0 0.01 333 (0.0, 0.3) pg True linear random \n", "\n", " approx thr_mode thr_alpha thr_min thr_max thr_k spk_cond spk_alpha \\\n", "0 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "1 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "2 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "3 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "4 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "5 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "6 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "7 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "8 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "9 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "10 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "11 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "12 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "13 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "14 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "15 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "16 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "17 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "18 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "19 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "20 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "21 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "22 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "23 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "24 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "25 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "26 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "27 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "28 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "29 rk4 fixed 2.0 0.000001 1.0 0.05 l1 0.25 \n", "\n", " hs_operator hs_variant seed \\\n", "0 differential rand-to-best 69 \n", "1 differential rand-to-best 70 \n", "2 differential rand-to-best 71 \n", "3 differential rand-to-best 72 \n", "4 differential rand-to-best 73 \n", "5 differential rand-to-best 74 \n", "6 differential rand-to-best 75 \n", "7 differential rand-to-best 76 \n", "8 differential rand-to-best 77 \n", "9 differential rand-to-best 78 \n", "10 differential rand-to-best 79 \n", "11 differential rand-to-best 80 \n", "12 differential rand-to-best 81 \n", "13 differential rand-to-best 82 \n", "14 differential rand-to-best 83 \n", "15 differential rand-to-best 84 \n", "16 differential rand-to-best 85 \n", "17 differential rand-to-best 86 \n", "18 differential rand-to-best 87 \n", "19 differential rand-to-best 88 \n", "20 differential rand-to-best 89 \n", "21 differential rand-to-best 90 \n", "22 differential rand-to-best 91 \n", "23 differential rand-to-best 92 \n", "24 differential rand-to-best 93 \n", "25 differential rand-to-best 94 \n", "26 differential rand-to-best 95 \n", "27 differential rand-to-best 96 \n", "28 differential rand-to-best 97 \n", "29 differential rand-to-best 98 \n", "\n", " init_position \n", "0 [-0.250919762305275, 0.9014286128198323] \n", "1 [0.4639878836228102, 0.1973169683940732] \n", "2 [-0.687962719115127, -0.6880109593275947] \n", "3 [-0.8838327756636011, 0.7323522915498704] \n", "4 [0.2022300234864176, 0.416145155592091] \n", "5 [-0.9588310114083951, 0.9398197043239886] \n", "6 [0.6648852816008435, -0.5753217786434477] \n", "7 [-0.6363500655857988, -0.6331909802931324] \n", "8 [-0.39151551408092455, 0.04951286326447568] \n", "9 [-0.13610996271576847, -0.4175417196039162] \n", "10 [0.22370578944475894, -0.7210122786959163] \n", "11 [-0.4157107029295637, -0.2672763134126166] \n", "12 [-0.08786003156592814, 0.5703519227860272] \n", "13 [-0.6006524356832805, 0.02846887682722321] \n", "14 [0.18482913772408494, -0.9070991745600046] \n", "15 [0.21508970380287673, -0.6589517526254169] \n", "16 [-0.869896814029441, 0.8977710745066665] \n", "17 [0.9312640661491187, 0.6167946962329223] \n", "18 [-0.39077246165325863, -0.8046557719872323] \n", "19 [0.3684660530243138, -0.1196950125207974] \n", "20 [-0.7559235303104423, -0.00964617977745963] \n", "21 [-0.9312229577695632, 0.8186408041575641] \n", "22 [-0.48244003679996617, 0.32504456870796394] \n", "23 [-0.3765778478211781, 0.040136042355621626] \n", "24 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alphadtmax_stepsnoise_stdref_modeis_boundednamecoeffsapproxthr_modethr_alphathr_minthr_maxthr_kspk_condspk_alphahs_operatorhs_variantseedinit_position
01.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best69[-0.250919762305275, 0.9014286128198323]
11.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best70[0.4639878836228102, 0.1973169683940732]
21.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best71[-0.687962719115127, -0.6880109593275947]
31.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best72[-0.8838327756636011, 0.7323522915498704]
41.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best73[0.2022300234864176, 0.416145155592091]
51.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best74[-0.9588310114083951, 0.9398197043239886]
61.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best75[0.6648852816008435, -0.5753217786434477]
71.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best76[-0.6363500655857988, -0.6331909802931324]
81.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best77[-0.39151551408092455, 0.04951286326447568]
91.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best78[-0.13610996271576847, -0.4175417196039162]
101.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best79[0.22370578944475894, -0.7210122786959163]
111.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best80[-0.4157107029295637, -0.2672763134126166]
121.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best81[-0.08786003156592814, 0.5703519227860272]
131.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best82[-0.6006524356832805, 0.02846887682722321]
141.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best83[0.18482913772408494, -0.9070991745600046]
151.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best84[0.21508970380287673, -0.6589517526254169]
161.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best85[-0.869896814029441, 0.8977710745066665]
171.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best86[0.9312640661491187, 0.6167946962329223]
181.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best87[-0.39077246165325863, -0.8046557719872323]
191.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best88[0.3684660530243138, -0.1196950125207974]
201.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best89[-0.7559235303104423, -0.00964617977745963]
211.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best90[-0.9312229577695632, 0.8186408041575641]
221.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best91[-0.48244003679996617, 0.32504456870796394]
231.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best92[-0.3765778478211781, 0.040136042355621626]
241.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best93[0.0934205586865593, -0.6302910889489459]
251.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best94[0.9391692555291171, 0.5502656467222291]
261.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best95[0.8789978831283782, 0.7896547008552977]
271.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best96[0.19579995762217028, 0.8437484700462337]
281.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best97[-0.823014995896161, -0.6080342751617096]
291.00.01333(0.0, 0.3)pgTruelinearrandomrk4fixed2.00.0000011.00.05l10.25differentialrand-to-best98[-0.9095454221789239, -0.3493393384734713]
\n", "
" ] }, "execution_count": 245, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 245 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 4. Results processing and visualisation\n", "In this section, we process the results of the optimisation and visualise them using various plots. The results include the fitness values, agent positions, and phase portraits." ], "id": "8b985328ea61fba7" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:43.646764Z", "start_time": "2025-06-17T16:11:43.641552Z" } }, "cell_type": "code", "source": [ "# Recover the results from the optimiser\n", "fp = optimiser.results[\"fp\"]\n", "fg = optimiser.results[\"fg\"]\n", "positions = np.array(optimiser.results[\"p\"])\n", "best_position = np.array(optimiser.results[\"g\"])\n", "v1 = np.array(optimiser.results[\"v1\"])\n", "v2 = np.array(optimiser.results[\"v2\"])\n", "\n", "# Convert the spikes to integer type\n", "spikes = np.array(optimiser.results[\"s\"]).astype(int)\n", "\n", "# Print some minimal information about the results\n", "print(f\"fg: {fg[-1][0]:.4f}\")\n", "print(f\"{v1.min():.4f} <= v1 <= {v1.max():.4f}\")\n", "print(f\"{v2.min():.4f} <= v2 <= {v2.max():.4f}\")" ], "id": "2ce73f98f2651bcb", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fg: 76.7178\n", "-1.2857 <= v1 <= 1.6901\n", "-1.3516 <= v2 <= 1.8370\n" ] } ], "execution_count": 246 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Error convergence\n", "This plot shows the convergence of the absolute error in fitness values over the iterations of the optimisation process." ], "id": "319d5950c8c802c4" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:44.180304Z", "start_time": "2025-06-17T16:11:43.786335Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(figsize=(width*0.9, height/1.8))\n", "\n", "plt.plot(fp, color=\"silver\", alpha=0.5)\n", "plt.plot(np.max(fp, axis=1), '--', color=\"red\", label=r\"Max.\")\n", "plt.plot(np.average(fp, axis=1), '--', color=\"black\", label=r\"Mean\")\n", "plt.plot(np.median(fp, axis=1), '--', color=\"blue\", label=r\"Median\")\n", "plt.plot(fg, '--', color=\"green\", label=r\"Min.\")\n", "\n", "plt.xlabel(r\"Step, $t$\")\n", "plt.ylabel(r\"Fitness Value, $f$\")\n", "\n", "lgd = plt.legend(ncol=2, loc=\"lower left\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "ax.patch.set_alpha(0)\n", "fig.tight_layout()\n", "\n", "save_this(fig, _in=\"fitness\")" ], "id": "d2dcb6286e0a6e8d", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 247 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Position evolution in 2D\n", "This plot shows the evolution of the unit positions in the 2D space over the iterations of the optimisation process." ], "id": "5960f7acea606757" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:44.361299Z", "start_time": "2025-06-17T16:11:44.203190Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(figsize=(width/2, width/2))\n", "\n", "cmap = plt.get_cmap('viridis', num_agents)\n", "color = cmap(np.linspace(0, 1, num_agents))\n", "\n", "for agent, c in enumerate(color):\n", " plt.plot(positions[:, agent, 0], positions[:,agent, 1], \"--o\",\n", " color=c, alpha=0.9, markersize=2, linewidth=1,\n", " label=f\"Agent {agent}\")\n", "\n", "plt.plot(best_position[:, 0], best_position[:, 1], \"--*\",\n", " color=\"red\", markersize=3, label=\"Best position\")\n", "\n", "# plt.legend()\n", "plt.xlabel(r\"$x_1$\")\n", "plt.ylabel(r\"$x_2$\")\n", "\n", "ax.patch.set_alpha(0)\n", "fig.tight_layout()\n", "\n", "save_this(fig, _in=\"positions_2d\")" ], "id": "ab337214980e288f", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 248 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Position evolution in 3D\n", "This plot shows the evolution of the unit positions in the 3D space over the iterations of the optimisation process." ], "id": "4bf2c8f7a422712b" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:44.544138Z", "start_time": "2025-06-17T16:11:44.377542Z" } }, "cell_type": "code", "source": [ "fig = plt.figure(figsize=(width/2, width/2))\n", "\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.set_proj_type('ortho')\n", "\n", "cmap = plt.get_cmap('viridis', num_agents)\n", "color = cmap(np.linspace(0, 1, num_agents))\n", "\n", "steps = np.arange(optimiser._num_iterations) + 1\n", "\n", "for agent, c in enumerate(color):\n", " ax.plot3D(positions[:, agent, 0], positions[:, agent, 1], steps,\n", " \"--o\", color=c, alpha=0.9, markersize=2, linewidth=1,\n", " label=f\"Agent {agent}\")\n", "\n", "ax.plot3D(best_position[:, 0], best_position[:, 1], steps,\n", " \"-\", color=\"red\", markersize=2, linewidth=1.5,\n", " label=\"Best position\")\n", "\n", "for axis in [ax.xaxis, ax.yaxis, ax.zaxis]:\n", " axis.pane.set_edgecolor('black')\n", " axis.pane.set_linewidth(1.0)\n", "\n", "# ax.viewfig, _init(elev=35, azim=135)\n", "ax.view_init(elev=30, azim=100)\n", "# ax.legend()\n", "ax.set_xlabel(r\"$x_1$\", labelpad=1)\n", "ax.set_ylabel(r\"$x_2$\", labelpad=1)\n", "ax.set_zlabel(r\"$t$\", labelpad=0)\n", "ax.set_box_aspect([1, 1, 0.8])\n", "\n", "ax.set_zlim(1, num_steps)\n", "\n", "ax.grid(False)\n", "ax.xaxis.pane.fill = False\n", "ax.yaxis.pane.fill = False\n", "ax.zaxis.pane.fill = False\n", "\n", "ax.patch.set_alpha(0)\n", "fig.subplots_adjust(left=0.1, right=0.95, top=0.95, bottom=0.1)\n", "# fig.tight_layout()\n", "\n", "save_this(fig, _in=\"positions_3d\")" ], "id": "5c70a20f91423513", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 249 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Phase portrait\n", "This section visualises the phase portrait of the optimisation process in 2D. The phase portrait shows the trajectory of each agent in the 2D space over the iterations." ], "id": "f25148756c32fcac" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:44.879010Z", "start_time": "2025-06-17T16:11:44.559501Z" } }, "cell_type": "code", "source": [ "fig, axs = plt.subplots(nrows=np.ceil(num_dimensions / 2).astype(int),\n", " ncols=2, figsize=(width, width/2))\n", "\n", "steps = np.arange(optimiser._num_iterations) + 1\n", "cmap = plt.get_cmap('Spectral', num_agents)\n", "color = cmap(np.linspace(0, 1, num_agents))\n", "\n", "for i, ax in enumerate(axs.flatten()):\n", "\n", " for agent, c in enumerate(color):\n", " ax.plot(v1[agent, :, i], v2[agent, :, i], \"-o\",\n", " color=c, alpha=0.5, markersize=1, linewidth=1,\n", " label=f\"Agent {agent}\")\n", " ax.plot(v1[agent, 0, i], v2[agent, 0, i], \"-s\",\n", " color=c, alpha=0.5, markersize=1, linewidth=1,\n", " label=f\"Agent {agent}\")\n", "\n", " ax.set_xlabel(r\"$v_{}$\".format(\"{1,\" + str(i+1) + \"}\"))\n", " ax.set_ylabel(r\"$v_{}$\".format(\"{2,\" + str(i+1) + \"}\"))\n", "\n", " ax.set_xlim(v1.min(), v1.max())\n", " ax.set_ylim(v2.min(), v2.max())\n", "\n", " ax.patch.set_alpha(0)\n", "\n", "fig.tight_layout()\n", "\n", "save_this(fig, _in=\"portrait_2d\")" ], "id": "9733d0fe53945d83", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 250 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Phase portrait in 3D\n", "This section visualises the phase portrait of the optimisation process in 3D. The phase portrait shows the trajectory of each agent in the 3D space over the iterations." ], "id": "ba0fd1e9d8c29ffc" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:45.264740Z", "start_time": "2025-06-17T16:11:44.896424Z" } }, "cell_type": "code", "source": [ "fig = plt.figure(figsize=(width, width/2))\n", "\n", "num_rows = np.ceil(num_dimensions / 2).astype(int)\n", "num_cols = 2\n", "\n", "axs = [\n", " fig.add_subplot(\n", " num_rows, num_cols, i + 1, projection='3d'\n", " ) for i in range(num_dimensions)\n", "]\n", "\n", "steps = np.arange(optimiser._num_iterations) + 1\n", "cmap = plt.get_cmap('Spectral', num_agents)\n", "color = cmap(np.linspace(0, 1, num_agents))\n", "\n", "for i, ax in enumerate(axs):\n", " ax.set_proj_type('ortho')\n", " ax.set_box_aspect([1, 1, 0.8])\n", " ax.view_init(elev=35, azim=110)\n", "\n", " for agent, c in enumerate(color):\n", " ax.plot3D(v1[agent, :, i], v2[agent, :, i], steps, \"-\",\n", " color=c, alpha=0.9,\n", " markersize=1, linewidth=1,\n", " label=f\"Agent {agent}\")\n", "\n", " ax.plot3D(v1[agent, 0, i], v2[agent, 0, i], 0, \"-s\",\n", " color=c, alpha=0.9,\n", " markersize=1, linewidth=1,\n", " label=f\"Agent {agent}\")\n", "\n", " ax.set_xlabel(r\"$v_{}$\".format(\"{\" + str(i+1) + \",1}\"))\n", " ax.set_ylabel(r\"$v_{}$\".format(\"{\" + str(i+1) + \",2}\"))\n", " ax.set_zlabel(r\"$t$\", labelpad=0.1)\n", "\n", " ax.set_xlim(v1.min(), v1.max())\n", " ax.set_ylim(v2.min(), v2.max())\n", "\n", " for axis in [ax.xaxis, ax.yaxis, ax.zaxis]:\n", " axis.pane.set_edgecolor('black')\n", " axis.pane.set_linewidth(1.0)\n", "\n", " ax.grid(False)\n", " ax.xaxis.pane.fill = False\n", " ax.yaxis.pane.fill = False\n", " ax.zaxis.pane.fill = False\n", " ax.patch.set_alpha(0)\n", "\n", "fig.tight_layout()\n", "\n", "save_this(fig, _in=\"portrait_3d\")" ], "id": "5fbf4d7d202c8c6d", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 251 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Spike activity heatmap\n", "This section visualises the spike activity of the agents over the iterations of the optimisation process. The heatmap shows the summed spike counts across all dimensions for each agent at each step." ], "id": "ea719c14462bef3b" }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:45.463769Z", "start_time": "2025-06-17T16:11:45.285036Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(figsize=(width*0.9, height * 0.6))\n", "\n", "spikes_sum = np.sum(spikes, axis=2)\n", "cmap = plt.get_cmap(\"YlGnBu_r\", 3)\n", "im = ax.imshow(spikes_sum.T, aspect='auto', origin='lower',\n", " cmap=cmap, vmin=0, vmax=2)\n", "\n", "ax.set_xlabel(r\"Step, $t$\")\n", "ax.set_ylabel(r\"Agent index, $i$\")\n", "\n", "cbar = fig.colorbar(im, ax=ax, pad=0.02, ticks=[0, 1, 2])\n", "cbar.set_label(r\"Spike count, $s_{1}+s_{2}$\")\n", "\n", "ax.patch.set_alpha(0)\n", "fig.tight_layout()\n", "\n", "save_this(fig, _in=\"spikes_hm\")" ], "id": "335758800b0c272e", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 252 }, { "metadata": { "ExecuteTime": { "end_time": "2025-06-17T16:11:45.479843Z", "start_time": "2025-06-17T16:11:45.477943Z" } }, "cell_type": "code", "source": "", "id": "4b3519cf286dda0e", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }