{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup the problem" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from jax import numpy as jnp\n", "import numpy as np\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Defining geometry\n", "from jwave.geometry import kGrid, TimeAxis, Medium, Sources, Sensors\n", "from jwave.physics import simulate_wave_propagation\n", "\n", "N = (256, 256)\n", "dx = (.5, .5)\n", "\n", "cfl = 0.25\n", "\n", "grid = kGrid.make_grid(N, dx)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Physical properties\n", "sound_speed = jnp.ones(N) \n", "#sound_speed = sound_speed.at[50:100,50:80].set(2.)\n", "\n", "# Physical properties\n", "medium = Medium(\n", " sound_speed=sound_speed,\n", " density=jnp.ones(N),\n", " attenuation=0.0,\n", " pml_size=20\n", ")\n", "\n", "time_array = TimeAxis.from_kgrid(grid, medium, cfl=cfl, t_end=120.)\n", "output_time_array = time_array" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# define a source point\n", "from jwave.signal_processing import apply_ramp\n", "\n", "source_freq = .8\n", "source_mag = 5/time_array.dt\n", "\n", "def gaussian_window(signal, time, mu, sigma):\n", " return signal*jnp.exp(\n", " -(t-mu)**2/sigma**2\n", " )\n", "\n", "t = jnp.arange(0, time_array.t_end, time_array.dt)\n", "s1 = source_mag * jnp.sin(2 * jnp.pi * source_freq * t)\n", "s1 = gaussian_window(\n", " apply_ramp(s1, time_array.dt, source_freq),\n", " t,\n", " 6,\n", " 1.5\n", ")\n", "\n", "source_signals = jnp.stack([s1])\n", "source_positions = ([128], [32])\n", "\n", "sources = Sources(positions=source_positions, signals=source_signals)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Define sensors\n", "x_pos = list(range(32,150)) + [190]\n", "y_pos = [220]*len(x_pos)\n", "sensors_positions = (x_pos, y_pos)\n", "sensors = Sensors(positions=sensors_positions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the problem setup" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Source signals')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Show simulation setup\n", "from matplotlib import pyplot as plt\n", "\n", "fig, ax = plt.subplots(1,2,figsize=(15,4), gridspec_kw={'width_ratios': [1, 2]})\n", "\n", "ax[0].imshow(medium.sound_speed, cmap=\"gray\")\n", "ax[0].scatter(source_positions[1],source_positions[0], c='r', marker='x', label=\"sources\")\n", "ax[0].scatter(sensors_positions[1],sensors_positions[0], c='g', marker='o', label=\"sensors\")\n", "ax[0].legend()\n", "ax[0].set_title(\"Speed of sound\")\n", "ax[0].axis(\"off\")\n", "\n", "ax[1].plot(s1[:250], label=\"Source 1\", c='k')\n", "ax[1].set_title(\"Source signals\")\n", "#ax[1].get_yaxis().set_visible(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run the simulation" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# Run simulation\n", "fields = simulate_wave_propagation(grid, medium, time_array, sources, sensors,\n", " output_t_axis = output_time_array)\n", "u = fields[0]\n", "p = jnp.sum(fields[1],1)*(medium.sound_speed[sources.positions]**2)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(960, 119)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p.shape" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(21,6))\n", "plt.plot(p/jnp.amax(p))\n", "plt.plot(s1/jnp.amax(s1), label=\"Source 1\", c='k')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the optimization problem" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from jax import random, nn, value_and_grad, jit, jvp, grad, vmap, jacfwd\n", "from jax import lax\n", "\n", "key = random.PRNGKey(42)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from jax.ops import index, index_add\n", "from jwave.signal_processing import smooth\n", "\n", "def _get_sound_speed(sos_patch, start_point=40, height=4, width=10):\n", " base_sos = jnp.ones(N)\n", " new_sos = base_sos.at[\n", " start_point:start_point+sos_patch.shape[0],\n", " 65:65+sos_patch.shape[1]].add(nn.sigmoid(sos_patch))\n", " return smooth(new_sos)\n", "\n", "\n", "def get_sound_speed(segments_sos):\n", " return _get_sound_speed(segments_sos)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [], "source": [ "key, _ = random.split(key)\n", "segments_sos = random.normal(key, shape=(180,100))*0 -3\n", "\n", "sos = get_sound_speed(segments_sos)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "\n", "plt.imshow(sos)\n", "plt.colorbar()\n", "plt.scatter(source_positions[1],source_positions[0], c='r', marker='x', label=\"sources\")\n", "plt.scatter(sensors_positions[1],sensors_positions[0], c='g', marker='o', label=\"sensors\")\n", "plt.legend()\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "time_array = TimeAxis.from_kgrid(grid, medium, cfl=cfl, t_end=200.)\n", "output_time_array = TimeAxis(dt = time_array.dt, t_end = time_array.t_end)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that `simulate_wave_propagation` has the flag arument `checkpoint=True`. This [makes gradient computation longer but saves memory](https://jax.readthedocs.io/en/latest/jax.html#jax.checkpoint): useful if the whole computational graph doesn't fit in the GPU." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def loss_func(p):\n", " '''\n", " Maximizes energy at bottom sensor, minimize energy on top ones'''\n", " return jnp.sum(p[:,:-2]**2) - jnp.sum(p[:,-1]**2)\n", " #return -jnp.sum(jnp.abs(p[:,-1])**2)\n", " \n", "def get_sensor_signals(segments_sos):\n", " medium = Medium(\n", " sound_speed=get_sound_speed(segments_sos),\n", " density=1.,\n", " attenuation=0.0,\n", " pml_size=12\n", " )\n", " \n", " fields = simulate_wave_propagation(grid, medium, time_array, sources, sensors,\n", " output_t_axis = output_time_array, backprop=True, checkpoint=True)\n", " p = jnp.sum(fields[1],1)*(medium.sound_speed[sources.positions]**2)\n", " return p\n", "\n", "# This is using forward differentiation\n", "'''\n", "def loss_with_grad(segments_sos):\n", " def jac_vec_prod(jacobian, vector):\n", " return jnp.sum(jacobian*vector, axis=(-1,-2))\n", " \n", " # parallel evaluation of jacobian vector products to explicitly buil jacobian matrix\n", " batched_jvp = vmap(lambda x: jvp(get_sensor_signals, (segments_sos,), (x,)))\n", " p, jacobian = batched_jvp(jnp.eye(segments_sos.shape[0]))\n", " lossval, lossgrad = value_and_grad(loss_func)(get_sensor_signals(segments_sos))\n", " gradient = jac_vec_prod(jacobian, lossgrad)\n", " return lossval, gradient\n", "'''\n", "\n", "# This is using backward differentiation\n", "def loss_with_grad(segments_sos):\n", " lossval, gradient = value_and_grad(\n", " lambda x: loss_func(get_sensor_signals(x))\n", " )(segments_sos)\n", " return lossval, gradient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimize" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from tqdm import tqdm\n", "from jax.experimental import optimizers" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.1025112\n" ] } ], "source": [ "loss, gradient = loss_with_grad(segments_sos)\n", "print(loss)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,8))\n", "plt.imshow(gradient, cmap=\"seismic\", vmin=-0.002, vmax=0.002)\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loss: -1.7406997680664062: 100%|██████████| 1000/1000 [11:41<00:00, 1.43it/s]\n" ] } ], "source": [ "losshistory = []\n", "\n", "init_fun, update_fun, get_params = optimizers.adam(0.05, b1=0.8, b2=0.9)\n", "opt_state = init_fun(segments_sos)\n", "\n", "@jit\n", "def update(opt_state):\n", " v = get_params(opt_state)\n", " lossval, gradient = loss_with_grad(v)\n", " return lossval, update_fun(k, gradient, opt_state)\n", "\n", "pbar = tqdm(range(1000))\n", "for k in pbar:\n", " lossval, opt_state = update(opt_state)\n", " \n", " # For logging\n", " new_segments_sos = get_params(opt_state)\n", " losshistory.append(lossval)\n", " \n", " pbar.set_description(\"Loss: {}\".format(lossval))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(losshistory)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "p_new = get_sensor_signals(new_segments_sos)\n", "p = get_sensor_signals(segments_sos)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,6))\n", "plt.plot(p_new[150:,0] + 1, 'r', label=\"Optimized\")\n", "plt.plot(p_new[150:,-2], 'r')\n", "plt.plot(p_new[150:,-1] - 1, 'r')\n", "\n", "plt.plot(p[150:,0] + 1, 'k', label=\"Original\")\n", "plt.plot(p[150:,-2], 'k')\n", "plt.plot(p[150:,-1] - 1, 'k')\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sos = get_sound_speed(segments_sos)\n", "\n", "plt.figure(figsize=(8,6))\n", "\n", "plt.imshow(sos)\n", "plt.colorbar()\n", "plt.scatter(source_positions[1],source_positions[0], c='r', marker='x', label=\"sources\")\n", "plt.scatter(sensors_positions[1],sensors_positions[0], c='g', marker='o', label=\"sensors\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sos = get_sound_speed(new_segments_sos)\n", "\n", "plt.figure(figsize=(8,6))\n", "\n", "plt.imshow(sos, cmap=\"inferno\")\n", "plt.colorbar()\n", "plt.scatter(source_positions[1],source_positions[0], c='r', marker='x', label=\"sources\")\n", "plt.scatter(sensors_positions[1][:-1],sensors_positions[0][:-1], c='g', marker='o', label=\"avoid\")\n", "plt.scatter(sensors_positions[1][-1],sensors_positions[0][-1], c='r', marker='o', label=\"focus\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 4 }