From 03e3abe7d97be9b7867f8510e7a63c81ffd83370 Mon Sep 17 00:00:00 2001 From: Joshua Nielsen Date: Tue, 30 Jan 2024 20:45:30 -0700 Subject: [PATCH] add subclass for levenberg-marquardt method. update initial search space. bump version. (#102) --- .gitignore | 2 ++ lppls/lppls.py | 12 +++---- lppls/lppls_lm.py | 48 ++++++++++++++++++++++++++ notebooks/lm.ipynb | 86 ++++++++++++++++++++++++++++++++++++++++++++++ setup.py | 2 +- 5 files changed, 141 insertions(+), 9 deletions(-) create mode 100644 lppls/lppls_lm.py create mode 100644 notebooks/lm.ipynb diff --git a/.gitignore b/.gitignore index 2342486..ea514be 100644 --- a/.gitignore +++ b/.gitignore @@ -5,6 +5,8 @@ __pycache__/ .idea .DS_Store +*/.ipynb_checkpoints/ + example.py outcmaes \ No newline at end of file diff --git a/lppls/lppls.py b/lppls/lppls.py index 5bbc851..54e7c63 100644 --- a/lppls/lppls.py +++ b/lppls/lppls.py @@ -39,7 +39,6 @@ def func_restricted(self, x, *args): Returns: (float) """ - tc = x[0] m = x[1] w = x[2] @@ -53,7 +52,6 @@ def func_restricted(self, x, *args): delta = [self.lppls(t, tc, m, w, a, b, c1, c2) for t in observations[0, :]] delta = np.subtract(delta, observations[1, :]) delta = np.power(delta, 2) - return np.sum(delta) @staticmethod @@ -116,22 +114,20 @@ def fit(self, max_searches, minimizer='Nelder-Mead', obs=None): if obs is None: obs = self.observations - - # print('obs',obs) search_count = 0 # find bubble while search_count < max_searches: - tc_init_min, tc_init_max = self._get_tc_bounds(obs, 0.50, 0.50) + # tc_init_min, tc_init_max = self._get_tc_bounds(obs, 0.50, 0.50) t1 = obs[0, 0] t2 = obs[0, -1] # @TODO make configurable # set random initialization limits for non-linear params init_limits = [ - (max(t2 - 60, t2 - 0.5 * (t2 - t1)), min(t2 + 252, t2 + 0.5 * (t2 - t1))), # tc # (tc_init_min, tc_init_max), - (0.0, 1.0), # m - (2.0, 15.0), # ω + (t2 - 0.2 * (t2 - t1), t2 + 0.2 * (t2 - t1)), # tc + (0.1, 1.0), # m + (6.0, 13.0), # ω ] # randomly choose vals within bounds for non-linear params diff --git a/lppls/lppls_lm.py b/lppls/lppls_lm.py new file mode 100644 index 0000000..ed059e1 --- /dev/null +++ b/lppls/lppls_lm.py @@ -0,0 +1,48 @@ +import numpy as np +from scipy.optimize import least_squares +from lppls.lppls import LPPLS + + +class LPPLS_LM(LPPLS): + + def func_restricted(self, x, obs): + tc = x[0] + m = x[1] + w = x[2] + + rM = self.matrix_equation(obs, tc, m, w) + a, b, c1, c2 = rM[:, 0].tolist() + + delta = [self.lppls(t, tc, m, w, a, b, c1, c2) for t in obs[0, :]] + residuals = np.subtract(delta, obs[1, :]) + return residuals # return the array of residuals + + def estimate_params(self, observations, seed, minimizer=None): + """ + Overrides the estimate_params method to use least_squares with 'lm' method. + Args: + observations (np.ndarray): The observed time-series data. + seed (list): Initial guess for time-critical, omega, and m. + Returns: + tc, m, w, a, b, c, c1, c2 + """ + # Define a wrapper function for least_squares + def wrapper(x): + return self.func_restricted(x, observations) + + # Use least_squares with the Levenberg-Marquardt method + result = least_squares(wrapper, seed, method='lm') + + if result.success: + tc, m, w = result.x + rM = self.matrix_equation(observations, tc, m, w) + a, b, c1, c2 = rM[:, 0].tolist() + c = self.get_c(c1, c2) + + # Store fitted parameters + for coef in ['tc', 'm', 'w', 'a', 'b', 'c', 'c1', 'c2']: + self.coef_[coef] = eval(coef) + + return tc, m, w, a, b, c, c1, c2 + else: + raise ValueError("Parameter estimation failed.") diff --git a/notebooks/lm.ipynb b/notebooks/lm.ipynb new file mode 100644 index 0000000..160b7f7 --- /dev/null +++ b/notebooks/lm.ipynb @@ -0,0 +1,86 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "52f58a9f-33ab-48d0-9b5e-6b72984179c6", + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../') # Go up one level from 'notebooks' to 'lppls'" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "cb724ac5-bd27-4455-bba9-9ffc8e05a774", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "730189.1175850349 0.4845937407985108 9.790705080681953 8.563156531033727 -0.046528585189827554 -0.0018748641401753992 -0.00045131367733639027 0.0018197339115279309 15.368725857369238 1.228326654209648\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from lppls import lppls_lm, data_loader\n", + "import numpy as np\n", + "import pandas as pd\n", + "from datetime import datetime as dt\n", + "%matplotlib inline\n", + "\n", + "# read example dataset into df \n", + "data = data_loader.nasdaq_dotcom()\n", + "\n", + "time = [pd.Timestamp.toordinal(dt.strptime(t1, '%Y-%m-%d')) for t1 in data['Date']]\n", + "price = np.log(data['Adj Close'].values)\n", + "observations = np.array([time, price])\n", + "\n", + "# the literature suggests 25\n", + "MAX_SEARCHES = 25\n", + "lppls_model = lppls_lm.LPPLS_LM(observations=observations)\n", + "\n", + "# fit the model to the data and get back the params\n", + "tc, m, w, a, b, c, c1, c2, O, D = lppls_model.fit(MAX_SEARCHES)\n", + "print(tc, m, w, a, b, c, c1, c2, O, D)\n", + "\n", + "# visualize the fit\n", + "lppls_model.plot_fit()\n" + ] + } + ], + "metadata": { + "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": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/setup.py b/setup.py index 5897648..4a0ecdf 100644 --- a/setup.py +++ b/setup.py @@ -4,7 +4,7 @@ long_description = fh.read() setuptools.setup(name='lppls', - version='0.6.10', + version='0.6.11', description='A Python module for fitting the LPPLS model to data.', packages=['lppls'], author='Josh Nielsen',