{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "285a3796-e7d9-45ba-8b11-418c0535a8c9",
   "metadata": {},
   "source": [
    "# Andrewscurves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d8d7bf92-ae63-4122-9457-10c9ada6c6f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import hvplot.pandas  # noqa"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "915da73a-0a5f-4a40-aa4b-a65a6002c3e9",
   "metadata": {},
   "source": [
    "Andrews curves provides a mechanism for visualising clusters of multivariate data.\n",
    "\n",
    "Andrews curves have the functional form:\n",
    "\n",
    "    f(t) = x_1/sqrt(2) + x_2 sin(t) + x_3 cos(t) + x_4 sin(2t) + x_5 cos(2t) + ...\n",
    "\n",
    "Where *x* coefficients correspond to the values of each dimension and *t* is\n",
    "linearly spaced between *-pi* and *+pi*. Each row of frame then corresponds to\n",
    "a single curve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d85a9c83-bd5d-4ac2-b1a0-0bb451a484e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "from bokeh.sampledata import iris\n",
    "\n",
    "iris = iris.flowers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "780fc986-819b-4882-9c44-113b9a211d97",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4c721441-ecf3-4178-a55f-d43eed7d00a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "hvplot.plotting.andrews_curves(\n",
    "    iris,\n",
    "    class_column='species',\n",
    "    samples=20,\n",
    ")"
   ]
  }
 ],
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   "name": "python",
   "pygments_lexer": "ipython3"
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