{ "cells": [ { "cell_type": "markdown", "id": "f5cd4fda", "metadata": {}, "source": [ "# Time Series Transition Examples\n", "This notebook demonstrates the `transition_ts` function to glue two time series with a smooth transition. We compare linear interpolation and PCHIP, with and without overlap." ] }, { "cell_type": "code", "execution_count": 1, "id": "2fa011ea", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "from scipy.interpolate import PchipInterpolator\n", "from vtools import transition_ts\n", "import matplotlib.pyplot as plt\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "6cab92b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "date0 = pd.date_range(\"2022-03-01\", periods=20, freq=\"d\")\n", "date1 = pd.date_range(\"2022-03-28\", periods=20, freq=\"d\")\n", "\n", "# Seasonal + trend + noise\n", "ts0 = pd.Series(5 + 0.25*np.arange(20) + 2*np.sin(np.linspace(0, 2*np.pi, 20)) + np.random.normal(0, 0.3, 20), index=date0)\n", "ts1 = pd.Series(12 + 0.1*np.arange(20) + 1.5*np.sin(np.linspace(0, 2*np.pi, 20) + 0.5) + np.random.normal(0, 0.3, 20), index=date1)\n", "\n", "# Transition over the 6-day gap between ts0 and ts1\n", "glue_linear = transition_ts(ts0, ts1, method='linear', create_gap=[\"2022-03-21\", \"2022-03-26\"], return_type='series')\n", "glue_pchip = transition_ts(ts0, ts1, method='pchip', create_gap=[\"2022-03-21\", \"2022-03-26\"], overlap=(3, 3), return_type='series')\n", "\n", "# Plot\n", "fig, ax = plt.subplots(figsize=(12, 6))\n", "ts0.plot(ax=ax, style='bo-', label='ts0')\n", "ts1.plot(ax=ax, style='go-', label='ts1')\n", "glue_linear.plot(ax=ax, style='r--', label='Linear Transition')\n", "glue_pchip.plot(ax=ax, style='m:', label='PCHIP Transition')\n", "ax.legend()\n", "ax.set_title(\"Transition Between Complex Series (Short Gap)\")\n", "ax.set_ylabel(\"Value\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0b7e1bc4", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "id": "43b407e6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plotting\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "def pink_noise(size, alpha=1.0):\n", " f = np.fft.rfftfreq(size)\n", " f[0] = 1e-6 # avoid division by zero\n", " spectrum = 1 / f**(alpha / 2.0)\n", " phases = np.exp(2j * np.pi * np.random.rand(len(f)))\n", " signal = np.fft.irfft(spectrum * phases, n=size)\n", " return signal / np.std(signal)\n", "\n", "\n", "# Create overlapping 15-minute time series\n", "date0 = pd.date_range(\"2023-01-01 00:00\", \"2023-06-01 00:00\", freq=\"15min\")\n", "date1 = pd.date_range(\"2023-05-20 01:30\", \"2023-09-01 00:00\", freq=\"15min\") # overlaps by 10 points\n", "t0 = np.linspace(0, 1, len(date0))\n", "t1 = np.linspace(0, 1, len(date1))\n", "\n", "ts0_values = (\n", " 1.0 +\n", " 0.05 * pink_noise(len(date0)) +\n", " 0.15 * np.sin(2 * np.pi * 3 * t0) + # 3 cycles over the entire interval\n", " 0.05 * t0 # slow upward trend\n", ")\n", "\n", "ts1_values = (\n", " 2.0 +\n", " 0.0 * pink_noise(len(date1)) +\n", " 0.15 * np.sin(2 * np.pi * 2 * t1 + 1.5) + # 2 cycles, phase shifted\n", " -0.03 * t1 # slight downward trend\n", ")\n", "\n", "ts0 = pd.Series(ts0_values, index=date0)\n", "ts1 = pd.Series(ts1_values, index=date1)\n", "\n", "\n", "# Transition over the overlapping period\n", "gap_start = \"2023-05-10 01:15\"\n", "gap_end = \"2023-06-10 02:15\"\n", "\n", "glue_linear = transition_ts(ts0, ts1, method='linear', create_gap=[gap_start, gap_end], return_type='series')\n", "glue_pchip = transition_ts(ts0, ts1, method='pchip', create_gap=[gap_start, gap_end], overlap=('4d', '4d'), return_type='series')\n", "\n", "print(\"plotting\")\n", "# Plot\n", "fig, ax = plt.subplots(figsize=(12, 6))\n", "ax.plot(ts0.index, ts0.values, 'b-', label='ts0',alpha=0.2)\n", "ax.plot(ts1.index, ts1.values, 'g-', label='ts1',alpha=0.2)\n", "ax.plot(glue_linear.index, glue_linear.values, 'r--', label='Linear Transition')\n", "ax.plot(glue_pchip.index, glue_pchip.values, 'm:', label='PCHIP Transition')\n", "ax.legend()\n", "ax.set_title(\"Transition Between Overlapping 15-Minute Series\")\n", "ax.set_ylabel(\"Value\")\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "schism_sphinx", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }