diff --git a/CHANGELOG.md b/CHANGELOG.md index 34fed82df..130a627f0 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -7,6 +7,7 @@ ## Bug Fixes +- [#63](https://github.com/pybop-team/PyBOP/issues/63) - Removes NLOpt Optimiser from future releases. This is to support deployment to the Apple M-Series platform. - [#164](https://github.com/pybop-team/PyBOP/issues/164) - Fixes convergence issues with gradient-based optimisers, changes default `model.check_params()` to allow infeasible solutions during optimisation iterations. Adds a feasibility check on the optimal parameters. # [v23.12](https://github.com/pybop-team/PyBOP/tree/v23.12) - 2023-12-19 diff --git a/README.md b/README.md index c86b05da9..24d916815 100644 --- a/README.md +++ b/README.md @@ -111,13 +111,13 @@ These general cases encompass a wide variety of optimisation problems that requi PyBOP comes with a number of [example notebooks and scripts](https://github.com/pybop-team/PyBOP/blob/develop/examples) which can be found in the examples folder. -The [spm_descent.py](https://github.com/pybop-team/PyBOP/blob/develop/examples/scripts/spm_descent.py) script illustrates a straightforward example that starts by generating artificial data from a single particle model (SPM). The unknown parameter values are identified by implementing a sum-of-square error cost function using the terminal voltage as the observed signal and a gradient descent optimiser. To run this example: +The [spm_pso.py](https://github.com/pybop-team/PyBOP/blob/develop/examples/scripts/spm_pso.py) script illustrates a straightforward example that starts by generating artificial data from a single particle model (SPM). The unknown parameter values are identified by employing a sum-of-squared errors cost function using the terminal voltage as the observed signal and a particle swarm optimisation algorithm. To run this example: ```bash -python examples/scripts/spm_descent.py +python examples/scripts/spm_pso.py ``` -In addition, [spm_CMAES.ipynb](https://github.com/pybop-team/PyBOP/blob/develop/examples/notebooks/spm_CMAES.ipynb) provides a second example in notebook form. This example estimates the SPM parameters based on an RMSE cost function and a BOBYQA optimiser. +Alternatively, [spm_CMAES.ipynb](https://github.com/pybop-team/PyBOP/blob/develop/examples/notebooks/spm_CMAES.ipynb) provides an example in notebook form. This example estimates SPM parameters based on a sum-of-squared errors cost function and a CMA-ES optimiser. ## Code of Conduct diff --git a/examples/notebooks/spm_nlopt.ipynb b/examples/notebooks/spm_nlopt.ipynb deleted file mode 100644 index 04f684b23..000000000 --- a/examples/notebooks/spm_nlopt.ipynb +++ /dev/null @@ -1,34363 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "expmkveO04pw" - }, - "source": [ - "## A NMC/Gr parameterisation example using NLOpt & PyBOP\n", - "\n", - "This notebook introduces a synthetic, dynamic, re-parameterisation of the single-particle model with corrupted observations. To start, we import the PyBOP package for parameterisation and the PyBaMM package to generate the initial synethic data," - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "X87NUGPW04py", - "outputId": "0d785b07-7cff-4aeb-e60a-4ff5a669afbf" - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pip in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (23.3.2)\n", - "Requirement already satisfied: ipywidgets in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (8.1.1)\n", - "Requirement already satisfied: comm>=0.1.3 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipywidgets) (0.2.0)\n", - "Requirement already satisfied: ipython>=6.1.0 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipywidgets) (8.18.1)\n", - "Requirement already satisfied: traitlets>=4.3.1 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipywidgets) (5.14.0)\n", - "Requirement already satisfied: widgetsnbextension~=4.0.9 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipywidgets) (4.0.9)\n", - "Requirement already satisfied: jupyterlab-widgets~=3.0.9 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipywidgets) (3.0.9)\n", - "Requirement already satisfied: decorator in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (5.1.1)\n", - "Requirement already satisfied: jedi>=0.16 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (0.19.1)\n", - "Requirement already satisfied: matplotlib-inline in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (0.1.6)\n", - "Requirement already satisfied: prompt-toolkit<3.1.0,>=3.0.41 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (3.0.41)\n", - "Requirement already satisfied: pygments>=2.4.0 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (2.17.2)\n", - "Requirement already satisfied: stack-data in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (0.6.3)\n", - "Requirement already satisfied: pexpect>4.3 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from ipython>=6.1.0->ipywidgets) (4.9.0)\n", - "Requirement already satisfied: parso<0.9.0,>=0.8.3 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from jedi>=0.16->ipython>=6.1.0->ipywidgets) (0.8.3)\n", - "Requirement already satisfied: ptyprocess>=0.5 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from pexpect>4.3->ipython>=6.1.0->ipywidgets) (0.7.0)\n", - "Requirement already satisfied: wcwidth in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from prompt-toolkit<3.1.0,>=3.0.41->ipython>=6.1.0->ipywidgets) (0.2.12)\n", - "Requirement already satisfied: executing>=1.2.0 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (2.0.1)\n", - "Requirement already satisfied: asttokens>=2.1.0 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (2.4.1)\n", - "Requirement already satisfied: pure-eval in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from stack-data->ipython>=6.1.0->ipywidgets) (0.2.2)\n", - "Requirement already satisfied: six>=1.12.0 in /Users/bradyplanden/.pyenv/versions/pybop-env/lib/python3.11/site-packages (from asttokens>=2.1.0->stack-data->ipython>=6.1.0->ipywidgets) (1.16.0)\n", - "Note: you may need to restart the kernel to use updated packages.\n" - ] - } - ], - "source": [ - "%pip install --upgrade pip ipywidgets\n", - "%pip install pybop -q" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "jAvD5fk104p0" - }, - "source": [ - "### Importing Libraries\n", - "\n", - "With the environment set up, we can now import PyBOP alongside other libraries we will need:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "id": "SQdt4brD04p1" - }, - "outputs": [], - "source": [ - "import pybop\n", - "import numpy as np" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "5XU-dMtU04p2" - }, - "source": [ - "### Generate Synthetic Data\n", - "\n", - "To demonstrate parameter estimation, we first need some data. We will generate synthetic data using the PyBOP forward model, which requires defining a parameter set and the model itself.\n", - "\n", - "#### Defining Parameters and Model\n", - "\n", - "We start by creating an example parameter set and then instantiate the single-particle model (SPM):" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "id": "sBasxv8U04p3" - }, - "outputs": [], - "source": [ - "model = pybop.lithium_ion.SPM()\n", - "params = model.default_parameter_values" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "wRDiC_dj04p5" - }, - "source": [ - "We can now modify individual parameters with the bespoke values and run the simulation." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "id": "JgN4C76x04p6" - }, - "outputs": [], - "source": [ - "params.update(\n", - " {\n", - " \"Negative electrode active material volume fraction\": 0.48,\n", - " \"Positive electrode active material volume fraction\": 0.54,\n", - " }\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "KWA5Fmbv04p7" - }, - "source": [ - "### Simulating Forward Model\n", - "\n", - "First, we define the PyBOP experiment (wrapper class for the PyBaMM experiment), then we can simulate the model using the `predict` method." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "id": "LvQ7eXGf04p7" - }, - "outputs": [], - "source": [ - "experiment = pybop.Experiment(\n", - " [\n", - " (\n", - " \"Discharge at 1C for 15 minutes (1 second period)\",\n", - " \"Rest for 2 minutes (1 second period)\",\n", - " \"Charge at 1C for 15 minutes (1 second period)\",\n", - " \"Rest for 2 minutes (1 second period)\",\n", - " ),\n", - " ]\n", - " * 2\n", - ")\n", - "sol = model.predict(experiment=experiment, parameter_set=params)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "kPlPy2oo04p-" - }, - "source": [ - "Now, let's corrupt the synthetic data with 3mV of Gaussian noise centered around zero," - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "id": "IW9PFOV904p-" - }, - "outputs": [], - "source": [ - "corrupt_V = sol[\"Voltage [V]\"].data\n", - "corrupt_V += np.random.normal(0, 0.003, len(corrupt_V))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "X8-tubYY04p_" - }, - "source": [ - "## Identify the Parameters" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "PQqhvSZN04p_" - }, - "source": [ - "Now, to blind fit the synthetic parameters we need to define the observation variables. For the observed voltage variable, we use the newly corrupted voltage array," - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "id": "zuvGHWID04p_" - }, - "outputs": [], - "source": [ - "dataset = pybop.Dataset(\n", - " {\n", - " \"Time [s]\": sol[\"Time [s]\"].data,\n", - " \"Current function [A]\": sol[\"Current [A]\"].data,\n", - " \"Voltage [V]\": corrupt_V,\n", - " }\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ffS3CF_704qA" - }, - "source": [ - "### Defining Parameters to Estimate\n", - "\n", - "We select the parameters for estimation and set up their prior distributions and bounds. The initial parameters values used in the estimation will be randomly drawn from the prior distribution." - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "id": "WPCybXIJ04qA" - }, - "outputs": [], - "source": [ - "parameters = [\n", - " pybop.Parameter(\n", - " \"Negative electrode active material volume fraction\",\n", - " prior=pybop.Gaussian(0.5, 0.02),\n", - " bounds=[0.48, 0.625],\n", - " ),\n", - " pybop.Parameter(\n", - " \"Positive electrode active material volume fraction\",\n", - " prior=pybop.Gaussian(0.6, 0.02),\n", - " bounds=[0.525, 0.75],\n", - " ),\n", - "]" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "n4OHa-aF04qA" - }, - "source": [ - "We can now define the fitting signal, a problem (which combines the model with the dataset) and construct a cost function." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "id": "etMzRtx404qA" - }, - "outputs": [], - "source": [ - "signal = \"Voltage [V]\"\n", - "problem = pybop.FittingProblem(model, parameters, dataset, signal=signal)\n", - "cost = pybop.RootMeanSquaredError(problem)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "eQiGurUV04qB" - }, - "source": [ - "Let's construct PyBOP's optimisation class. This class provides the methods needed to fit the forward model. For this example, we use a root-mean square cost function with the BOBYQA algorithm implemented in NLOpt." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "id": "N3FtAhrT04qB" - }, - "outputs": [], - "source": [ - "optim = pybop.Optimisation(cost=cost, optimiser=pybop.NLoptOptimize)\n", - "optim.set_max_iterations(100)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "caprp-bV04qB" - }, - "source": [ - "Finally, we run the estimation algorithm." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "id": "-9OVt0EQ04qB" - }, - "outputs": [], - "source": [ - "x, final_cost = optim.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "-4pZsDmS04qC" - }, - "source": [ - "Let's view the identified parameters:" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "Hgz8SV4i04qC", - "outputId": "e1e42ae7-5075-4c47-dd68-1b22ecc170f6" - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.5263475 , 0.53595478])" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "KxKURtH704qC" - }, - "source": [ - "## Plotting and Visualisation\n", - "\n", - "We can quickly plot the system's response using the estimated parameters compared to the target:" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "id": "ZVfozY0A04qC" - }, - "outputs": [ - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "fill": "toself", - "fillcolor": "rgba(255,229,204,0.8)", - "hoverinfo": "skip", - "line": { - "color": "rgba(255,255,255,0)" - }, - "showlegend": false, - "type": "scatter", - "x": [ - 0, - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, - 9, - 10, - 11, - 12, - 13, - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pybop.quick_plot(x, cost, title=\"Optimised Comparison\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Convergence and Parameter Trajectories\n", - "\n", - "To assess the optimisation process, we can plot the convergence of the cost function and the trajectories of the parameters:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pybop.plot_convergence(optim)\n", - "pybop.plot_parameters(optim);" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ntIvAJmA04qD" - }, - "source": [ - "### Cost Landscape\n", - "\n", - "Finally, we can visualise the cost landscape and the path taken by the optimiser:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Plot the cost landscape\n", - "pybop.plot_cost2d(cost, steps=15)\n", - "# Plot the cost landscape with optimisation path and updated bounds\n", - "bounds = np.array([[0.6, 0.9], [0.5, 0.8]])\n", - "pybop.plot_cost2d(cost, optim=optim, bounds=bounds, steps=15);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "colab": { - "provenance": [] - }, - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.4" - }, - "widgets": { - "application/vnd.jupyter.widget-state+json": { - "06f2374f91c8455bb63252092512f2ed": { - "model_module": "@jupyter-widgets/base", - "model_module_version": "2.0.0", - "model_name": "LayoutModel", - "state": { - "_model_module": "@jupyter-widgets/base", - "_model_module_version": "2.0.0", - "_model_name": "LayoutModel", - "_view_count": null, - 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), - pybop.Parameter( - "Positive electrode active material volume fraction", - prior=pybop.Gaussian(0.48, 0.05), - bounds=[0.4, 0.7], - ), -] - -# Define the cost to optimise -signal = ["Voltage [V]"] -problem = pybop.FittingProblem(model, parameters, dataset, signal=signal, init_soc=0.98) -cost = pybop.RootMeanSquaredError(problem) - -# Build the optimisation problem -optim = pybop.Optimisation(cost=cost, optimiser=pybop.NLoptOptimize) - -# Run the optimisation problem -x, final_cost = optim.run() -print("Estimated parameters:", x) - -# Plot the timeseries output -pybop.quick_plot(x, cost, title="Optimised Comparison") - -# Plot convergence -pybop.plot_convergence(optim) - -# Plot the parameter traces -pybop.plot_parameters(optim) - -# Plot the cost landscape -pybop.plot_cost2d(cost, steps=15) - -# Plot the cost landscape with optimisation path -pybop.plot_cost2d(cost, optim=optim, steps=15) diff --git a/pybop/__init__.py b/pybop/__init__.py index 8781b93dc..6093d9d9c 100644 --- a/pybop/__init__.py +++ b/pybop/__init__.py @@ -54,7 +54,6 @@ # Optimiser class # from .optimisers.base_optimiser import BaseOptimiser -from .optimisers.nlopt_optimize import NLoptOptimize from .optimisers.scipy_optimisers import SciPyMinimize, SciPyDifferentialEvolution from .optimisers.pints_optimisers import ( GradientDescent, diff --git a/pybop/_optimisation.py b/pybop/_optimisation.py index 6ac2a4959..423ec9ba3 100644 --- a/pybop/_optimisation.py +++ b/pybop/_optimisation.py @@ -91,10 +91,7 @@ def __init__( else: self.pints = False - if issubclass(self.optimiser, pybop.NLoptOptimize): - self.optimiser = self.optimiser(self.n_parameters) - - elif issubclass( + if issubclass( self.optimiser, (pybop.SciPyMinimize, pybop.SciPyDifferentialEvolution) ): self.optimiser = self.optimiser() diff --git a/pybop/optimisers/nlopt_optimize.py b/pybop/optimisers/nlopt_optimize.py deleted file mode 100644 index 12d7dfba9..000000000 --- a/pybop/optimisers/nlopt_optimize.py +++ /dev/null @@ -1,104 +0,0 @@ -import nlopt -from .base_optimiser import BaseOptimiser -import numpy as np - - -class NLoptOptimize(BaseOptimiser): - """ - Extends BaseOptimiser to utilize the NLopt library for nonlinear optimization. - - This class serves as an interface to the NLopt optimization algorithms. It allows the user to - define an optimization problem with bounds, initial guesses, and to select an optimization method - provided by NLopt. - - Parameters - ---------- - n_param : int - Number of parameters to optimize. - xtol : float, optional - The relative tolerance for optimization (stopping criteria). If not provided, a default of 1e-5 is used. - method : nlopt.algorithm, optional - The NLopt algorithm to use for optimization. If not provided, LN_BOBYQA is used by default. - maxiter : int, optional - The maximum number of iterations to perform during optimization. If not provided, NLopt's default is used. - """ - - def __init__(self, n_param, xtol=None, method=None, maxiter=None): - super().__init__() - self.n_param = n_param - self._max_iterations = maxiter - - if method is not None: - self.optim = nlopt.opt(method, self.n_param) - else: - self.optim = nlopt.opt(nlopt.LN_BOBYQA, self.n_param) - - if xtol is not None: - self.optim.set_xtol_rel(xtol) - else: - self.optim.set_xtol_rel(1e-5) - - def _runoptimise(self, cost_function, x0, bounds): - """ - Runs the optimization process using the NLopt library. - - Parameters - ---------- - cost_function : callable - The objective function to minimize. It should take an array of parameter values and return the scalar cost. - x0 : array_like - The initial guess for the parameters. - bounds : dict - A dictionary containing the 'lower' and 'upper' bounds arrays for the parameters. - - Returns - ------- - tuple - A tuple containing the optimized parameter values and the final cost. - """ - - # Add callback storing history of parameter values - self.log = [[x0]] - - def cost_wrapper(x, grad): - self.log.append([np.array(x)]) - return cost_function(x, grad) - - # Pass settings to the optimiser - self.optim.set_min_objective(cost_wrapper) - self.optim.set_lower_bounds(bounds["lower"]) - self.optim.set_upper_bounds(bounds["upper"]) - - # Set max iterations - if self._max_iterations is not None: - self.optim.set_maxeval(self._max_iterations) - - # Run the optimser - x = self.optim.optimize(x0) - - # Get performance statistics - final_cost = self.optim.last_optimum_value() - - return x, final_cost - - def needs_sensitivities(self): - """ - Indicates if the optimiser requires gradient information for the cost function. - - Returns - ------- - bool - False, as the default NLopt algorithms do not require gradient information. - """ - return False - - def name(self): - """ - Returns the name of this optimiser instance. - - Returns - ------- - str - The name 'NLoptOptimize' representing this NLopt optimization class. - """ - return "NLoptOptimize" diff --git a/setup.py b/setup.py index d0bf68ae6..5a3697807 100644 --- a/setup.py +++ b/setup.py @@ -29,7 +29,6 @@ "numpy>=1.16", "scipy>=1.3", "pandas>=1.0", - "nlopt>=2.6", "pints>=0.5", ], extras_require={ diff --git a/tests/unit/test_optimisation.py b/tests/unit/test_optimisation.py index 110cbf32f..8e7a50b2e 100644 --- a/tests/unit/test_optimisation.py +++ b/tests/unit/test_optimisation.py @@ -45,7 +45,6 @@ def cost(self, problem): @pytest.mark.parametrize( "optimiser_class, expected_name", [ - (pybop.NLoptOptimize, "NLoptOptimize"), (pybop.SciPyMinimize, "SciPyMinimize"), (pybop.SciPyDifferentialEvolution, "SciPyDifferentialEvolution"), (pybop.GradientDescent, "Gradient descent"), @@ -66,15 +65,11 @@ def test_optimiser_classes(self, cost, optimiser_class, expected_name): assert opt.optimiser.name() == expected_name if optimiser_class not in [ - pybop.NLoptOptimize, pybop.SciPyMinimize, pybop.SciPyDifferentialEvolution, ]: assert opt.optimiser.boundaries is None - if optimiser_class == pybop.NLoptOptimize: - assert opt.optimiser.n_param == 1 - @pytest.mark.unit def test_default_optimiser_with_bounds(self, cost): opt = pybop.Optimisation(cost=cost) @@ -101,7 +96,7 @@ class RandomClass: def test_prior_sampling(self, cost): # Tests prior sampling for i in range(50): - opt = pybop.Optimisation(cost=cost, optimiser=pybop.NLoptOptimize) + opt = pybop.Optimisation(cost=cost, optimiser=pybop.CMAES) assert opt.x0 <= 0.62 and opt.x0 >= 0.58 diff --git a/tests/unit/test_parameterisations.py b/tests/unit/test_parameterisations.py index 4b7e405b4..9d53e39b6 100644 --- a/tests/unit/test_parameterisations.py +++ b/tests/unit/test_parameterisations.py @@ -53,7 +53,7 @@ def test_spm(self, parameters, model, x0, init_soc): cost = pybop.RootMeanSquaredError(problem) # Select optimiser - optimiser = pybop.NLoptOptimize + optimiser = pybop.CMAES # Build the optimisation problem parameterisation = pybop.Optimisation(cost=cost, optimiser=optimiser) @@ -88,7 +88,6 @@ def spm_cost(self, parameters, model, x0): @pytest.mark.parametrize( "optimiser", [ - pybop.NLoptOptimize, pybop.SciPyMinimize, pybop.SciPyDifferentialEvolution, pybop.Adam, @@ -167,7 +166,6 @@ def spm_two_signal_cost(self, parameters, model, x0): @pytest.mark.parametrize( "optimiser", [ - pybop.NLoptOptimize, pybop.SciPyDifferentialEvolution, pybop.IRPropMin, pybop.CMAES, @@ -217,7 +215,7 @@ def test_model_misparameterisation(self, parameters, model, x0, init_soc): cost = pybop.RootMeanSquaredError(problem) # Select optimiser - optimiser = pybop.NLoptOptimize + optimiser = pybop.CMAES # Build the optimisation problem parameterisation = pybop.Optimisation(cost=cost, optimiser=optimiser) diff --git a/tests/unit/test_standalone.py b/tests/unit/test_standalone.py index 333233e3d..4ba611a96 100644 --- a/tests/unit/test_standalone.py +++ b/tests/unit/test_standalone.py @@ -14,7 +14,7 @@ class TestStandalone: def test_standalone(self): # Build an Optimisation problem with a StandaloneCost cost = StandaloneCost() - opt = pybop.Optimisation(cost=cost, optimiser=pybop.NLoptOptimize) + opt = pybop.Optimisation(cost=cost, optimiser=pybop.SciPyDifferentialEvolution) x, final_cost = opt.run() assert len(opt.x0) == opt.n_parameters