andreasgrv/hotstarting.ipynb

## hotstarting.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cd950cb8-dc97-4c3b-9736-4f46aea9c52a",
   "metadata": {},
   "source": [
    "# Hotstarting a Linear Programme in HiGHS\n",
    "\n",
    "> Q: Does hotstarting help when we have related LPs to solve?\n",
    "\n",
    "Here we use an LP to check for intersections of halfspaces.\n",
    "We look at neighbouring regions.\n",
    "\n",
    "\n",
    "# HiGHS with Dense matrices\n",
    "\n",
    "Our matrices are dense, so first we transform our dense matrices to the sparse CSR format expected by HiGHS.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "95cc20e1-b401-4e3c-b6a7-e75f2faaf4a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import highspy\n",
    "import numpy as np\n",
    "from scipy.sparse import csr_matrix\n",
    "\n",
    "\n",
    "TOL = 1e-8\n",
    "EPS = 1e-6\n",
    "LB = -1e5\n",
    "UB = 1e5\n",
    "\n",
    "\n",
    "def highs_lp(c,\n",
    "             A_ub=None,\n",
    "             b_ub=None,\n",
    "             A_eq=None,\n",
    "             b_eq=None,\n",
    "             bounds=None,\n",
    "             presolve='choose',\n",
    "             solver='choose',\n",
    "             primal_feasibility_tolerance=TOL,\n",
    "             dual_feasibility_tolerance=TOL,\n",
    "             threads=1,\n",
    "             random_seed=13\n",
    "            ):\n",
    "    # Loosely based on https://github.com/scipy/scipy/blob/main/scipy/optimize/_linprog_util.py\n",
    "    # and https://colab.research.google.com/drive/1NidGby0Nru8_8VtllAivpYmjtsrZWtsG?usp=sharing\n",
    "    assert len(c.shape) == 1\n",
    "\n",
    "    n_var = len(c)\n",
    "\n",
    "    # Default bounds\n",
    "    if bounds is None:\n",
    "        bounds_lower = np.zeros(n_var)\n",
    "        bounds_upper = np.ones(n_var) * highspy.kHighsInf\n",
    "    else:\n",
    "        # Try to parse as numpy array\n",
    "        if not hasattr(bounds, 'shape'):\n",
    "            bounds = np.array(bounds, dtype=float)\n",
    "        assert bounds.shape == (n_var, 2)\n",
    "        bounds_lower = bounds[:, 0]\n",
    "        none_idxs = np.isnan(bounds_lower)\n",
    "        bounds_lower[none_idxs] = -highspy.kHighsInf\n",
    "\n",
    "        bounds_upper = bounds[:, 1]\n",
    "        none_idxs = np.isnan(bounds_upper)\n",
    "        bounds_upper[none_idxs] = highspy.kHighsInf\n",
    "\n",
    "    # Process equalities and inequalities\n",
    "    b_ub = b_ub if b_ub is not None else np.array([], dtype=float)\n",
    "    b_eq = b_eq if b_eq is not None else np.array([], dtype=float)\n",
    "\n",
    "    A_ub = A_ub if A_ub is not None else np.zeros((0, n_var), dtype=float)\n",
    "    A_eq = A_eq if A_eq is not None else np.zeros((0, n_var), dtype=float)\n",
    "\n",
    "    lhs_ub = -highspy.kHighsInf * np.ones_like(b_ub)\n",
    "    rhs_ub = b_ub\n",
    "\n",
    "    # Equalities are inequalities with same ub and lb\n",
    "    lhs_eq = b_eq\n",
    "    rhs_eq = b_eq\n",
    "\n",
    "    lhs = np.concatenate((lhs_ub, lhs_eq))\n",
    "    rhs = np.concatenate((rhs_ub, rhs_eq))\n",
    "\n",
    "    A = np.vstack((A_ub, A_eq))\n",
    "    A = csr_matrix(A)\n",
    "\n",
    "    nr, nc = A.shape\n",
    "    assert nc == n_var\n",
    "\n",
    "\n",
    "    lp = highspy.HighsLp()\n",
    "\n",
    "    # Define the dimensions\n",
    "    lp.num_row_ = nr\n",
    "    lp.num_col_ = nc\n",
    "\n",
    "    # Define the column costs and bounds\n",
    "    lp.col_cost_ = c\n",
    "    lp.col_lower_ = bounds_lower\n",
    "    lp.col_upper_ = bounds_upper\n",
    "\n",
    "    lp.row_lower_ = lhs\n",
    "    lp.row_upper_ = rhs\n",
    "\n",
    "    lp.a_matrix_.start_ = A.indptr\n",
    "    lp.a_matrix_.index_ = A.indices\n",
    "    lp.a_matrix_.value_ = A.data\n",
    "    lp.a_matrix_.format_ = highspy.MatrixFormat.kRowwise\n",
    "\n",
    "    # Pass the model\n",
    "    h = highspy.Highs()\n",
    "    h.silent()\n",
    "    status = h.passModel(lp)\n",
    "    if status == highspy.HighsStatus.kError:\n",
    "        raise ValueError(status)\n",
    "    h.setOptionValue('presolve', presolve)\n",
    "    h.setOptionValue('primal_feasibility_tolerance', primal_feasibility_tolerance)\n",
    "    h.setOptionValue('dual_feasibility_tolerance', dual_feasibility_tolerance)\n",
    "    h.setOptionValue('threads', threads)\n",
    "    h.setOptionValue('random_seed', random_seed)\n",
    "    return h"
   ]
  },
  {
   "attachments": {
    "291c2901-02d6-43e5-a1ae-1b281f91ceeb.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "07dafe94-545a-4cef-bf4e-41f837246aa2",
   "metadata": {},
   "source": [
    "# Define Chebyshev LP to detect intersection of halfspaces\n",
    "\n",
    "The Chebyshev LP finds the largest ball that fits within each region.\n",
    "Each region is an intersection of halfspaces + box contraints.\n",
    "We identify each region using its corresponding sign vector (orthant in the code).\n",
    "\n",
    "Note that neighbouring regions differ by one sign flip, so their LPs are very similar (only one constraint in matrix $\\mathbf{A}$ changes).\n",
    "\n",
    "![cheby.png](attachment:291c2901-02d6-43e5-a1ae-1b281f91ceeb.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "43985429-1a7e-42be-8ed0-77e258cdead9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Halfspace Intersection using rows of W as normal vectors\n",
    "# If LP successful, cheby returns a centroid in the intersection of halfspaces.\n",
    "def intersects_orthant_cheby(W, orthant, has_bias=False, lb=LB, ub=UB):\n",
    "    n, d = W.shape\n",
    "\n",
    "    # We want to minimise the chebyshev radius - that is the first variable\n",
    "    cc = np.zeros(d+1)\n",
    "    # scipy minimizes instead of max, so -1 to maximise\n",
    "    cc[0] = -1\n",
    "\n",
    "    # Adjust direction of normal vectors (equivalent to choosing pos/neg side)\n",
    "    # I.e. if we want to be on neg side, flip normal vector and look pos side.\n",
    "    # NOTE: Since scipy checks <= 0, we need to flip the signs\n",
    "    Wp = W * (- np.sign(orthant).reshape(-1, 1))\n",
    "\n",
    "    A_eq = None\n",
    "    b_eq = None\n",
    "    # If we set has_bias, we expect last column of Wp to be bias vector.\n",
    "    if has_bias:\n",
    "        # Constrain last entry of xx solution to be 1 (i.e. this is affine not linear)\n",
    "        # We need d+1 since we also have the chebyshev radius variable\n",
    "        # be careful and append chebyshev norms as first col of Wp\n",
    "        A_eq = np.zeros(d+1)\n",
    "        A_eq[-1] = 1\n",
    "        A_eq = A_eq.reshape(1, -1)\n",
    "        b_eq = np.ones(1)\n",
    "\n",
    "    margin = -np.ones(n) * EPS\n",
    "\n",
    "    cheby = np.linalg.norm(Wp, axis=1, keepdims=True)\n",
    "    Wp = np.hstack([cheby, Wp])\n",
    "\n",
    "    bounds = []\n",
    "    # Add chebyshev radius bound\n",
    "    bounds.append((EPS, None))\n",
    "    for i in range(d):\n",
    "        bounds.append((LB, UB))\n",
    "\n",
    "    lp = highs_lp(cc,\n",
    "                  A_ub=Wp,\n",
    "                  b_ub=margin,\n",
    "                  A_eq=A_eq,\n",
    "                  b_eq=b_eq,\n",
    "                  bounds=bounds)\n",
    "    return lp"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a31cc313-f9fa-4178-a459-2799bb8b9c3c",
   "metadata": {},
   "source": [
    "# Look at feasible LPs only\n",
    "\n",
    "To avoid discrepancies in run times between feasible and infeasible LPs, we use a matrix $\\mathbf{A} \\in \\mathbb{R}^{n \\times d}$ for which we know the corresponding LP is feasible.\n",
    "\n",
    "Consider a LP with the constraints $\\mathbf{s}^\\top\\mathbf{Ax} \\leq \\mathbf{0}$, where $\\mathbf{s} \\in \\left \\{-1, 1 \\right \\}^n$ is a sign vector that flips the rows of $\\mathbf{A}$.\n",
    "If the matrix $\\mathbf{A}$ is the truncated DFT matrix with $n$ rows and $d$ columns, then\n",
    "the LP is feasible if the number of sign changes in $\\mathbf{s}$ is less than or equal to $d-1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c3bde189-9c68-41c1-b487-d9869fa40e64",
   "metadata": {},
   "outputs": [],
   "source": [
    "# The Truncated Discrete Fourier Transform Matrix\n",
    "def dft_matrix(n, d):\n",
    "    # e^{ix} = cos(x) + i sin(x)\n",
    "    xx = np.linspace(complex(0), complex(0, np.pi - np.pi/n), n, dtype=np.complex128)\n",
    "    xx = np.exp(xx)\n",
    "\n",
    "    # Taking powers gives us truncated DFT matrix\n",
    "    V = np.vander(xx, increasing=True)[:, :d]\n",
    "\n",
    "    # Convert complex matrix to real matrix\n",
    "    W = np.ones((n, 2*d), dtype=np.float64)\n",
    "    W[:,::2] = V.real\n",
    "    W[:,1::2] = V.imag\n",
    "\n",
    "    # Avoid warning in HiGHS by truncating values close to zero to zero.\n",
    "    W[np.abs(W) < 1e-9] = 0.\n",
    "\n",
    "    # Improve conditioning of matrix by scaling the columns such that\n",
    "    # if W was full rank we would have:\n",
    "    # W.T(W) = W(W.T) = I\n",
    "    W[:, 0] = W[:, 0] * np.sqrt(1/n)\n",
    "    W[:, 1:] = W[:, 1:] * np.sqrt(2/n)\n",
    "    return W"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d90cd1b1-88fb-4f60-8d4b-d48b23d76f57",
   "metadata": {},
   "source": [
    "# Running the timing experiments with hot starting\n",
    "\n",
    "We check three cases:\n",
    "* No hotstarting\n",
    "* Hotstarting + shuffling (here the sign vectors are shuffled and are not changed in an incremental/neighbouring way)\n",
    "* Hotstarting, no shuffling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "747fc6c1-aee8-413b-a400-51f1dba9f2b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "### Running LPs without hotstart!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 20/20 [00:00<00:00, 22.37it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken without hotstart: 0.894289 seconds\n",
      "### Running LPs without hotstart!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 20/20 [00:01<00:00, 19.97it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken without hotstart: 1.002181 seconds\n",
      "### Running LPs without hotstart!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 20/20 [00:00<00:00, 32.43it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken without hotstart: 0.617057 seconds\n",
      "### Running LPs without hotstart!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken with hotstart: 0.183956 seconds\n",
      "### Running LPs with hotstart!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 20/20 [00:00<00:00, 147.46it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken with hotstart: 0.136086 seconds\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "import tqdm\n",
    "import highspy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "\n",
    "def test_argmaxable(hotstart=True, seed=42, shuffle=False):\n",
    "    N = 200\n",
    "    D = 50\n",
    "    S = 20\n",
    "\n",
    "    if hotstart:\n",
    "        print('### Running LPs with hotstart!')\n",
    "    else:\n",
    "        print('### Running LPs without hotstart!')\n",
    "    W = dft_matrix(N, D)\n",
    "\n",
    "    np.random.seed(seed)\n",
    "    idxs = np.random.choice(range(N), size=(S-1), replace=False)\n",
    "\n",
    "    # The sign vector changes the <= to >= in the constraints matrix\n",
    "    sv = np.ones(N)\n",
    "    svs = []\n",
    "    for idx in idxs:\n",
    "        svs.append(sv)\n",
    "        sv[idx] = -1\n",
    "    svs.append(sv)\n",
    "\n",
    "    if shuffle:\n",
    "        np.random.shuffle(svs)\n",
    "\n",
    "    basis = None\n",
    "    with tqdm.tqdm(svs) as t:\n",
    "        for sv in t:\n",
    "            lp = intersects_orthant_cheby(W, sv)\n",
    "            if basis is not None:\n",
    "                lp.setBasis(basis)\n",
    "            run_status = lp.run()\n",
    "            assert run_status == highspy.HighsStatus.kOk, run_status\n",
    "            status = lp.getModelStatus()\n",
    "            assert status == highspy.HighsModelStatus.kOptimal, status\n",
    "\n",
    "            # Verify solution is correct\n",
    "            sol = lp.getSolution()\n",
    "            # idx 0 has the radius of the Chebyshev ball\n",
    "            xx = np.array(sol.col_value[1:])\n",
    "            yy = np.sign(W.dot(xx))\n",
    "            assert np.allclose(yy, sv)\n",
    "            if hotstart:\n",
    "                basis = lp.getBasis()\n",
    "    time_taken = t.format_dict['elapsed']\n",
    "    if hotstart:\n",
    "        print('Time taken with hotstart: %.6f seconds' % t.format_dict['elapsed'])\n",
    "    else:\n",
    "        print('Time taken without hotstart: %.6f seconds' % t.format_dict['elapsed'])\n",
    "    return time_taken\n",
    "\n",
    "\n",
    "def run_exp(hotstart, n_samples, shuffle):\n",
    "    samples = []\n",
    "    for seed in range(n_samples):\n",
    "        tt = test_argmaxable(hotstart=hotstart, seed=seed, shuffle=shuffle)\n",
    "        samples.append(tt)\n",
    "\n",
    "    return samples\n",
    "\n",
    "\n",
    "NS = 100\n",
    "\n",
    "samples = run_exp(False, NS, shuffle=False)\n",
    "hs_samples = run_exp(True, NS, shuffle=False)\n",
    "hss_samples = run_exp(True, NS, shuffle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4b01cc2c-8da2-4316-a0fd-dcc855864f18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=3, figsize=(10, 10))\n",
    "h, bins = np.histogram(samples + hs_samples + hss_samples, bins=30)\n",
    "\n",
    "sns.histplot(samples, bins=bins, ax=axes[0], kde=True, label='No Hotstart', color='red')\n",
    "sns.histplot(hss_samples, bins=bins, ax=axes[1], kde=True, label='Hotstart + shuffle', color='orange')\n",
    "sns.histplot(hs_samples, bins=bins, ax=axes[2], kde=True, label='Hotstart', color='green')\n",
    "\n",
    "# ax.set_ylabel('Number of experiments (diff. random seeds)')\n",
    "# ax.set_xlabel('Time taken (s)')\n",
    "for ax in axes:\n",
    "    ax.legend()\n",
    "    ax.set_ylim([0, NS])\n",
    "    ax.set_ylabel('# Experiments')\n",
    "axes[-1].set_xlabel('Time taken (s)')\n",
    "fig.suptitle('Variance of run time for LPs across %d random seeds.' % NS)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
No results found