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JAXopt implicit optimization gradients with JAX-MD.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"accelerator": "GPU",
"colab": {
"name": "JAXopt implicit optimization gradients with JAX-MD.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/shoyer/4e895eb4765e1d3671151240e0542cba/jaxopt-implicit-optimization-gradients-with-jax-md.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [
"# Copyright 2022 Google LLC.\n",
"# SPDX-License-Identifier: Apache-2.0"
],
"metadata": {
"id": "HHyzqYL_9AYw"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "asdSSIEULIqo",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "0ec9c7ab-b02b-4ac1-e046-0112fcdb1765"
},
"source": [
"! pip install jaxopt jax-md"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Collecting jaxopt\n",
" Downloading jaxopt-0.1.1-py3-none-any.whl (76 kB)\n",
"\u001b[K |████████████████████████████████| 76 kB 1.8 MB/s \n",
"\u001b[?25hCollecting jax-md\n",
" Downloading jax_md-0.1.20-py2.py3-none-any.whl (80 kB)\n",
"\u001b[K |████████████████████████████████| 80 kB 3.4 MB/s \n",
"\u001b[?25hRequirement already satisfied: numpy>=1.18.4 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (1.19.5)\n",
"Requirement already satisfied: absl-py>=0.7.0 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (0.12.0)\n",
"Requirement already satisfied: jax>=0.2.18 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (0.2.21)\n",
"Requirement already satisfied: jaxlib>=0.1.69 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (0.1.71+cuda111)\n",
"Requirement already satisfied: matplotlib>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (3.2.2)\n",
"Requirement already satisfied: scipy>=1.0.0 in /usr/local/lib/python3.7/dist-packages (from jaxopt) (1.4.1)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from absl-py>=0.7.0->jaxopt) (1.15.0)\n",
"Requirement already satisfied: opt-einsum in /usr/local/lib/python3.7/dist-packages (from jax>=0.2.18->jaxopt) (3.3.0)\n",
"Requirement already satisfied: flatbuffers<3.0,>=1.12 in /usr/local/lib/python3.7/dist-packages (from jaxlib>=0.1.69->jaxopt) (1.12)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib>=2.0.1->jaxopt) (0.10.0)\n",
"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib>=2.0.1->jaxopt) (2.8.2)\n",
"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib>=2.0.1->jaxopt) (2.4.7)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib>=2.0.1->jaxopt) (1.3.2)\n",
"Collecting dm-haiku>=0.0.2\n",
" Downloading dm_haiku-0.0.5-py3-none-any.whl (287 kB)\n",
"\u001b[K |████████████████████████████████| 287 kB 5.6 MB/s \n",
"\u001b[?25hCollecting jraph\n",
" Downloading jraph-0.0.1.dev0-py3-none-any.whl (73 kB)\n",
"\u001b[K |████████████████████████████████| 73 kB 1.0 MB/s \n",
"\u001b[?25hCollecting dataclasses\n",
" Downloading dataclasses-0.6-py3-none-any.whl (14 kB)\n",
"Collecting jmp>=0.0.2\n",
" Downloading jmp-0.0.2-py3-none-any.whl (16 kB)\n",
"Requirement already satisfied: tabulate>=0.8.9 in /usr/local/lib/python3.7/dist-packages (from dm-haiku>=0.0.2->jax-md) (0.8.9)\n",
"Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from dm-haiku>=0.0.2->jax-md) (3.7.4.3)\n",
"Collecting python-version>=\"3.6\"\n",
" Downloading python_version-0.0.2-py2.py3-none-any.whl (3.4 kB)\n",
"Installing collected packages: python-version, jmp, jraph, dm-haiku, dataclasses, jaxopt, jax-md\n",
"Successfully installed dataclasses-0.6 dm-haiku-0.0.5 jax-md-0.1.20 jaxopt-0.1.1 jmp-0.0.2 jraph-0.0.1.dev0 python-version-0.0.2\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "c-EU5_VNhbtb"
},
"source": [
"import jax.numpy as jnp\n",
"import jax\n",
"import numpy as np"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "UAdc5Q2IUdN7"
},
"source": [
"N = 128\n",
"N_2 = N // 2\n",
"num_relaxation_steps = 300\n",
"\n",
"simulation_steps = np.arange(300)\n",
"dt = 1e-2\n",
"temperature = 1e-5\n",
"diameter = 0.6\n",
"\n",
"packing_fraction = 0.98\n",
"markersize = 260\n",
"\n",
"def box_size_at_packing_fraction(diameter):\n",
" bubble_volume = N_2 * np.pi * (diameter ** 2 + 1) / 4\n",
" return jnp.sqrt(bubble_volume / packing_fraction)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "snZhi-4muprR"
},
"source": [
"\n",
"species = np.array([0] * (N_2) + [1] * (N_2), dtype=np.int32)\n",
"\n",
"def species_sigma(diameter):\n",
" d_AA = diameter\n",
" d_BB = 1\n",
" d_AB = 0.5 * (diameter + 1)\n",
" return jnp.array(\n",
" [[d_AA, d_AB], \n",
" [d_AB, d_BB]]\n",
" )"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "5waew9JN2XDo"
},
"source": [
"from jaxopt.implicit_diff import custom_fixed_point\n",
"from jaxopt import linear_solve\n",
"from jax_md import energy, space, minimize\n",
"\n",
"from jax import lax\n",
"import jax\n",
"import functools\n",
"\n",
"\n",
"def gradient_descent(energy_fun, shift):\n",
" return minimize.gradient_descent(energy_fun, shift, 1e-3)\n",
"\n",
"\n",
"@functools.partial(jax.jit, static_argnames={'implicit_grad', 'minimizer'})\n",
"def differentiable_sim(x0, diameter, steps=300, implicit_grad=True, minimizer=minimize.fire_descent):\n",
" # We are not interested in differentiating through the size of the box; this\n",
" # should be considered a constant. Without stop_gradient() all sensitivities\n",
" # just point towards the origin\n",
" box_size = box_size_at_packing_fraction(lax.stop_gradient(diameter))\n",
"\n",
" displacement, shift = space.periodic(box_size)\n",
" sigma = species_sigma(diameter)\n",
" energy_fun = energy.soft_sphere_pair(\n",
" displacement, species=species, sigma=sigma)\n",
" init_fn, apply_fn = minimizer(energy_fun, shift)\n",
"\n",
" def solve(_, R0):\n",
" state = init_fn(R0)\n",
" state = lax.fori_loop(0, steps, lambda t, state: apply_fn(state, t=t), state)\n",
" return getattr(state, 'position', state)\n",
"\n",
" R0 = box_size * x0\n",
"\n",
" if implicit_grad:\n",
" # bicgstab is considerably more efficient than gmres here\n",
" tangent_solve = lambda A, b: jax.scipy.sparse.linalg.bicgstab(A, b)[0]\n",
" R = lax.custom_root(jax.grad(energy_fun), R0, solve, tangent_solve)\n",
" else:\n",
" R = solve(None, R0)\n",
"\n",
" return R / box_size, energy_fun(R)\n",
"\n",
"\n",
"@functools.partial(jax.jit, static_argnames={'implicit_grad', 'minimizer'})\n",
"def sim_plus_sensitivity(\n",
" x0,\n",
" diameter,\n",
" steps=300,\n",
" implicit_grad=True,\n",
" minimizer=minimize.fire_descent,\n",
"):\n",
" f = functools.partial(differentiable_sim, x0, steps=steps,\n",
" implicit_grad=implicit_grad, minimizer=minimizer)\n",
" (x, E), (dx, dE) = jax.jvp(f, (diameter,), (1.0,))\n",
" return (x, E), (dx, dE)\n",
"\n",
"def wait(xs):\n",
" return jax.tree_util.tree_map(lambda x: x.block_until_ready(), xs)\n",
"\n",
"\n",
"# plotting\n",
"\n",
"def draw_system(R, box_size, marker_size, color=None):\n",
" if color == None:\n",
" color = [64 / 256] * 3\n",
" ms = marker_size / box_size\n",
"\n",
" R = np.array(R)\n",
"\n",
" marker_style = dict(\n",
" linestyle='none', \n",
" markeredgewidth=3,\n",
" marker='o', \n",
" markersize=ms, \n",
" color=color, \n",
" fillstyle='none')\n",
"\n",
" plt.plot(R[:, 0], R[:, 1], **marker_style)\n",
" plt.plot(R[:, 0] + box_size, R[:, 1], **marker_style)\n",
" plt.plot(R[:, 0], R[:, 1] + box_size, **marker_style)\n",
" plt.plot(R[:, 0] + box_size, R[:, 1] + box_size, **marker_style)\n",
" plt.plot(R[:, 0] - box_size, R[:, 1], **marker_style)\n",
" plt.plot(R[:, 0], R[:, 1] - box_size, **marker_style)\n",
" plt.plot(R[:, 0] - box_size, R[:, 1] - box_size, **marker_style)\n",
"\n",
" plt.xlim([0, box_size])\n",
" plt.ylim([0, box_size])\n",
" plt.axis('off')\n",
" plt.gca().set_facecolor([1, 1, 1])\n",
"\n",
"def plot_arrows(xs, dxs, scale):\n",
" for coords, displacement in zip(xs, dxs):\n",
" plt.arrow(*coords, *(scale*displacement),\n",
" color='k', width=0.002,\n",
" head_width=0.002*10, head_length=0.002*10,\n",
" zorder=100)\n",
"\n",
"def plot_centers(xs):\n",
" plt.scatter(*xs[:64].T, color='blue')\n",
" plt.scatter(*xs[64:].T, color='red')\n",
"\n",
"\n",
"def plot_system(xs, dxs=None, scale=0.05):\n",
" d1 = 60 * diameter / (diameter + 1)\n",
" d2 = 60 / (diameter + 1)\n",
" plt.figure(figsize=(6,6))\n",
" draw_system(xs[:64], 1.0, d1, color='lightgray')\n",
" draw_system(xs[64:], 1.0, d2, color='lightgray')\n",
" if dxs is not None:\n",
" plot_arrows(xs, dxs, scale)\n",
" plot_centers(xs)\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "vdKnu45P6Na_"
},
"source": [
"# from jaxopt.implicit_diff import custom_root, root_jvp\n",
"# import jax_md"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "2_B2fuaJgmpw"
},
"source": [
"vmap_sensitivity = jax.jit(jax.vmap(sim_plus_sensitivity, in_axes=(0, None, None, None)), static_argnums=(2, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "26__tJhjPrlt"
},
"source": [
"vmap_sim = jax.jit(jax.vmap(differentiable_sim, in_axes=(0, None, None, None)), static_argnums=(2, 3))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6xFzQHOQeYB1",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "4724d199-f310-438d-e8ee-c46a61663383"
},
"source": [
"%%time\n",
"batch_size = 40\n",
"\n",
"steps_array = np.arange(100, 2000+1, 100)\n",
"solutions = []\n",
"implicit_grads = []\n",
"explicit_grads = []\n",
"key = jax.random.PRNGKey(2)\n",
"x0 = jax.random.uniform(key, (batch_size, N, 2), maxval=1.0)\n",
"for steps in steps_array:\n",
" print(steps)\n",
" (x1, _), (dx_implicit, _) = wait(vmap_sensitivity(x0, diameter, steps, True))\n",
" _, (dx_explicit, _) = wait(vmap_sensitivity(x0, diameter, steps, False))\n",
" solutions.append(x1)\n",
" implicit_grads.append(dx_implicit)\n",
" explicit_grads.append(dx_explicit)\n",
"solutions = np.array(solutions)\n",
"implicit_grads = np.array(implicit_grads)\n",
"explicit_grads = np.array(explicit_grads)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"100\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.7/dist-packages/jax/_src/numpy/lax_numpy.py:2427: UserWarning: Explicitly requested dtype <class 'jax._src.numpy.lax_numpy.float64'> requested in sum is not available, and will be truncated to dtype float32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/google/jax#current-gotchas for more.\n",
" lax._check_user_dtype_supported(dtype, name)\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
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"CPU times: user 12min 27s, sys: 1min 17s, total: 13min 44s\n",
"Wall time: 12min 12s\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 463
},
"id": "fUsM7COVgVqc",
"outputId": "e9eeccfb-dd39-47bf-e1a1-f9dcd169545f"
},
"source": [
"import seaborn\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"def plot_system(xs, dxs=None, scale=0.05):\n",
" palette = seaborn.color_palette('pastel', 2)\n",
" d1 = 75 * diameter / (diameter + 1)\n",
" d2 = 75 / (diameter + 1)\n",
" plt.figure(figsize=(6,6))\n",
" draw_system(xs[:64], 1.0, d1, color=palette[0])\n",
" draw_system(xs[64:], 1.0, d2, color=palette[1])\n",
" if dxs is not None:\n",
" plot_arrows(xs, dxs, scale)\n",
"\n",
"i = 3\n",
"plot_system(solutions[-1, i], implicit_grads[-1, i], scale=0.08)\n",
"plt.subplots_adjust(left=0, right=1, bottom=0, top=1)\n",
"# plt.savefig('jax-md-sensitivity.pdf')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 463
},
"id": "sdkDk0LbgQ0_",
"outputId": "2ca73094-707b-4628-8b2e-0b62c3c1e3b8"
},
"source": [
"plot_system(solutions[-1, i], explicit_grads[-1, i], scale=0.08)\n",
"plt.subplots_adjust(left=0, right=1, bottom=0, top=1)\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "1Djd0Ypv3X3m"
},
"source": [
"import pandas as pd\n",
"import xarray\n",
"import seaborn"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "5J2bcQVo3cYF"
},
"source": [
"all_grads = xarray.DataArray(\n",
" np.stack([explicit_grads, implicit_grads]),\n",
" dims=['method', 'steps', 'sample', 'particle', 'coord'],\n",
" coords={'method': ['explicit', 'implicit'],\n",
" 'steps': steps_array})"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "wOjEjcXM34tt"
},
"source": [
"df = all_grads.pipe(abs).mean(['particle', 'coord']).to_dataframe(name='grad_norm').reset_index()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 285
},
"id": "lIbacSfi4Hx0",
"outputId": "5fa3f2f5-f32c-4bee-dff3-9a6be63649e4"
},
"source": [
"seaborn.lineplot(data=df, x='steps', y='grad_norm', hue='method', units='sample', estimator=None)\n",
"plt.yscale('log')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "g7gTqQ78xy0e"
},
"source": [
"seaborn.set_style('ticks')\n",
"seaborn.set_context('notebook')"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
},
"id": "zEaTeFFiAcEk",
"outputId": "d4164100-c7d7-4d35-b311-6c5b770e4082"
},
"source": [
"\n",
"norms = all_grads.pipe(abs).mean(['particle', 'coord'])\n",
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(8, 3.3), sharey=True, sharex=True)\n",
"axes[0].plot(\n",
" steps_array,\n",
" norms.sel({'method': 'explicit'}).head(sample=20),\n",
")\n",
"axes[1].plot(\n",
" steps_array,\n",
" norms.sel({'method': 'implicit'}).head(sample=20),\n",
")\n",
"plt.yscale('log')\n",
"plt.ylim(3e-2, 3e4)\n",
"axes[0].set_ylabel('Gradient norm')\n",
"axes[0].set_xlabel('Number of optimization steps')\n",
"axes[1].set_xlabel('Number of optimization steps')\n",
"axes[0].set_title(\"Unrolled FIRE optimizer\")\n",
"axes[1].set_title(\"Implicit differentiation\")\n",
"axes[0].set_xlim(0, 2000)\n",
"fig.subplots_adjust(wspace=0.1, top=0.93, bottom=0.15, left=0.09, right=0.96)\n",
"# fig.savefig('jax-md-grad-norm.pdf')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x237.6 with 2 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 310
},
"id": "7SF1CcryMPOL",
"outputId": "810d3427-aa4e-43cf-a13a-164ebfdf9b6e"
},
"source": [
"plt.hist(all_grads.sel({'method': 'explicit'}).pipe(lambda x: abs(x.isel(steps=-1) - x.isel(steps=-2))).mean(['particle', 'coord']),\n",
" bins=10**np.linspace(-2, 6, num=501),\n",
" label='explicit',\n",
" cumulative=True, density=True, histtype='step', linewidth=2)\n",
"plt.hist(all_grads.sel({'method': 'implicit'}).pipe(lambda x: abs(x.isel(steps=-1) - x.isel(steps=-2))).mean(['particle', 'coord']),\n",
" bins=10**np.linspace(-2, 6, num=501),\n",
" label='implicit',\n",
" cumulative=True, density=True, histtype='step', linewidth=2)\n",
"plt.xscale('log')\n",
"plt.xlim(1e-2, 1e5)\n",
"plt.ylim(-0.01, 1.01)\n",
"plt.legend()\n",
"plt.ylabel(\"cumulative fraction\")\n",
"plt.xlabel(\"gradient norm\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'gradient norm')"
]
},
"metadata": {},
"execution_count": 38
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 268
},
"id": "BQWYn3zn4zWf",
"outputId": "fd4554d5-9b37-418e-e02b-4cc0f5a0eb0c"
},
"source": [
"plt.fill_between(\n",
" steps_array,\n",
" norms.sel({'method': 'explicit'}).quantile(0.1, dim='sample'),\n",
" norms.sel({'method': 'explicit'}).quantile(0.9, dim='sample'),\n",
" alpha=0.3,\n",
")\n",
"plt.plot(\n",
" steps_array,\n",
" norms.sel({'method': 'explicit'}).quantile(0.5, dim='sample'),\n",
")\n",
"\n",
"plt.fill_between(\n",
" steps_array,\n",
" norms.sel({'method': 'implicit'}).quantile(0.1, dim='sample'),\n",
" norms.sel({'method': 'implicit'}).quantile(0.9, dim='sample'),\n",
" alpha=0.3,\n",
")\n",
"plt.plot(\n",
" steps_array,\n",
" norms.sel({'method': 'implicit'}).quantile(0.5, dim='sample'),\n",
")\n",
"plt.yscale('log')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 285
},
"id": "14bPhTpS4cHg",
"outputId": "60a0aeb3-bae7-46ef-d827-dda3adfc0469"
},
"source": [
"seaborn.lineplot(data=df, x='steps', y='grad_norm', hue='method', estimator=np.median)\n",
"plt.yscale('log')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gBEzs3n0DGq8"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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