diff --git a/dev/HamiltonianGNN.ipynb b/dev/HamiltonianGNN.ipynb new file mode 100644 index 0000000..e713b54 --- /dev/null +++ b/dev/HamiltonianGNN.ipynb @@ -0,0 +1,898 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline\n", + "import camels_library as cl\n", + "import readgadget\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading CAMELS data" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 34/34 [01:48<00:00, 3.19s/it]\n" + ] + } + ], + "source": [ + "scales = []\n", + "poss = []\n", + "vels = []\n", + "\n", + "snapshot='/data/CAMELS/Sims/IllustrisTNG_DM/CV_0/snap_000.hdf5'\n", + "\n", + "header = readgadget.header(snapshot)\n", + "BoxSize = header.boxsize/1e3 #Mpc/h\n", + "Nall = header.nall #Total number of particles\n", + "Masses = header.massarr*1e10 #Masses of the particles in Msun/h\n", + "Omega_m = header.omega_m #value of Omega_m\n", + "Omega_l = header.omega_l #value of Omega_l\n", + "h = header.hubble #value of h\n", + "redshift = header.redshift #redshift of the snapshot\n", + "Hubble = 100.0*np.sqrt(Omega_m*(1.0+redshift)**3+Omega_l)#Value of H(z) in km/s/(Mpc/h)\n", + "\n", + "# Loading all the intermediate snapshots\n", + "for i in tqdm(range(34)):\n", + " snapshot='/data/CAMELS/Sims/IllustrisTNG_DM/CV_0/snap_%03d.hdf5'%i\n", + " \n", + " header = readgadget.header(snapshot)\n", + " \n", + " redshift = header.redshift #redshift of the snapshot\n", + " \n", + " ptype = [1] #dark matter is particle type 1\n", + " ids = np.argsort(readgadget.read_block(snapshot, \"ID \", ptype)-1) #IDs starting from 0\n", + " pos = readgadget.read_block(snapshot, \"POS \", ptype)[ids]/1e3 #positions in Mpc/h\n", + " vel = readgadget.read_block(snapshot, \"VEL \", ptype)[ids] #peculiar velocities in km/s\n", + "\n", + " # Reordering data for simple reshaping\n", + " pos = pos.reshape(4,4,4,64,64,64,3).transpose(0,3,1,4,2,5,6).reshape(-1,3)\n", + " vel = vel.reshape(4,4,4,64,64,64,3).transpose(0,3,1,4,2,5,6).reshape(-1,3)\n", + " \n", + " pos = (pos / BoxSize * 32).reshape([256,256,256,3])[2::8,2::8,2::8,:].reshape([-1,3])\n", + " vel = (vel / 100 * (1./(1+redshift)) / BoxSize*32).reshape([256,256,256,3])[2::8,2::8,2::8,:].reshape([-1,3])\n", + " \n", + " scales.append((1./(1+redshift)))\n", + " poss.append(pos)\n", + " vels.append(vel)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Runing PM simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import jax_cosmo as jc\n", + "import haiku as hk\n", + "\n", + "from jax.experimental.ode import odeint\n", + "\n", + "from jaxpm.painting import cic_paint, cic_read, compensate_cic\n", + "from jaxpm.pm import linear_field, lpt, make_ode_fn, pm_forces\n", + "from jaxpm.kernels import fftk, gradient_kernel, laplace_kernel, longrange_kernel\n", + "from jaxpm.utils import power_spectrum\n", + "\n", + "rng_seq = hk.PRNGSequence(1)\n", + "\n", + "mesh_shape= [32, 32, 32]\n", + "box_size = [25., 25., 25.]\n", + "cosmo = jc.Planck15(Omega_c= 0.3 - 0.049, Omega_b=0.049, n_s=0.9624, h=0.671 , sigma8=0.8)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Run the simulation with Particle-Mesh scheme\n", + "resi = odeint(make_ode_fn(mesh_shape), [poss[0], vels[0]], jnp.array(scales), cosmo, rtol=1e-5, atol=1e-5)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# High res simulation\n", + "figure(figsize=[10,10])\n", + "for i in range(16):\n", + " subplot(4,4,i+1)\n", + " imshow(cic_paint(jnp.zeros(mesh_shape), poss[::2][i]).sum(axis=0), cmap='gist_stern', vmin=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# JaxPM without correction\n", + "figure(figsize=[10,10])\n", + "for i in range(16):\n", + " subplot(4,4,i+1)\n", + " imshow(cic_paint(jnp.zeros(mesh_shape), resi[0][::2][i]).sum(axis=0), cmap='gist_stern',\n", + " vmax=cic_paint(jnp.zeros(mesh_shape), poss[::2][i]).sum(axis=0).max(),vmin=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/local/home/flanusse/.local/lib/python3.8/site-packages/jax/_src/lax/lax.py:488: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return _convert_element_type(operand, new_dtype, weak_type=False)\n" + ] + } + ], + "source": [ + "k, pk_ref = power_spectrum(\n", + " compensate_cic(cic_paint(jnp.zeros(mesh_shape), poss[-1])),\n", + " boxsize=np.array([25.] * 3),\n", + " kmin=np.pi / 25.,\n", + " dk=2 * np.pi / 25.)\n", + "\n", + "k, pk_i = power_spectrum(\n", + " compensate_cic(cic_paint(jnp.zeros(mesh_shape), resi[0][-1])),\n", + " boxsize=np.array([25.] * 3),\n", + " kmin=np.pi / 25.,\n", + " dk=2 * np.pi / 25.)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$P(k)$')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "loglog(k,pk_ref, label='N-body')\n", + "loglog(k,pk_i, label='JaxPM without correction')\n", + "legend()\n", + "plt.xlabel(r\"$k$ [$h \\ \\mathrm{Mpc}^{-1}$]\")\n", + "plt.ylabel(r\"$P(k)$\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implementation of a plain Hamiltonian Graph Neural Network" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# We start by computing a neighboorhood to compute PP interactions \n", + "# Could we see if we could get a graph on this\n", + "from sklearn.neighbors import radius_neighbors_graph\n", + "\n", + "A = radius_neighbors_graph(poss[-1], 1.5, mode='distance').tocoo()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "import jraph\n", + "from frozendict import frozendict\n", + "\n", + "# Initialize graph structure\n", + "static_graph = jraph.GraphsTuple(\n", + " n_node=np.asarray([A.shape[0]]),\n", + " n_edge=np.asarray([len(A.data)]),\n", + " nodes={\n", + " 'position': poss[0],\n", + " 'momentum': vels[0],\n", + " },\n", + " senders=A.row,\n", + " receivers=A.col,\n", + " edges={'grav_potential':jnp.zeros(len(A.data))},\n", + " globals={}\n", + ")\n", + "\n", + "# Tell tree_util how to navigate frozendicts.\n", + "jax.tree_util.register_pytree_node(\n", + " frozendict,\n", + " flatten_func=lambda s: (tuple(s.values()), tuple(s.keys())),\n", + " unflatten_func=lambda k, xs: frozendict(zip(k, xs)))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<32768x32768 sparse matrix of type ''\n", + "\twith 8060958 stored elements in COOrdinate format>" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "hist(A.data,100);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Note**: we are not using a fully connected graph here, so we won't get the long range interactions, only the small scales" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "def update_edge_fn(edges, senders, receivers, globals_):\n", + " del globals_\n", + " # Models particle-particle interactions contribution to grav potential\n", + " distance = jnp.linalg.norm(senders[\"position\"] - receivers[\"position\"], axis=1)\n", + " grav_potential_per_edge = - 1. /(distance + 0.1) # The 0.1 is to soften the forces on small scales\n", + " return frozendict({\"grav_potential\": grav_potential_per_edge})\n", + "\n", + "def update_node_fn(nodes, sent_edges, received_edges, globals_):\n", + " del sent_edges, received_edges, globals_\n", + " \n", + " # Computes momentum\n", + " momentum_norm = jnp.linalg.norm(nodes[\"momentum\"],axis=1)\n", + " kinetic_energy = 0.5 * momentum_norm ** 2 \n", + " return frozendict({\"kinetic_energy\": kinetic_energy})\n", + "\n", + "def update_global_fn(nodes, edges, globals_):\n", + " del globals_\n", + " # At this point we will receive node and edge features aggregated (summed)\n", + " # for all nodes and edges in each graph.\n", + " hamiltonian_per_graph = nodes[\"kinetic_energy\"] + edges[\"grav_potential\"]\n", + " return frozendict({\"hamiltonian\": hamiltonian_per_graph})\n", + "\n", + "# Create the Hamiltonian Graph\n", + "hamiltonian_gnn = jraph.GraphNetwork(\n", + " update_edge_fn=update_edge_fn,\n", + " update_node_fn=update_node_fn,\n", + " update_global_fn=update_global_fn)\n", + "\n", + "# Function that computes the hamiltonian for input position and momentum\n", + "def hamiltonian_from_state_fn(position, momentum):\n", + " # Update variables in graph\n", + " graph = static_graph._replace(nodes={\n", + " 'position': position,\n", + " 'momentum': momentum})\n", + " output_graph = hamiltonian_gnn(graph)\n", + " return output_graph.globals[\"hamiltonian\"].sum()\n", + "\n", + "# Computes the derivatives of the Hamiltonian\n", + "hamiltonian_gradients_fn = jax.grad(hamiltonian_from_state_fn, argnums=[0, 1])" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "def gnn_nbody_ode(state, a, cosmo):\n", + " \"\"\"\n", + " state is a tuple (position, velocities)\n", + " \"\"\"\n", + " pos, vel = state\n", + " \n", + " # Take the derivatives against position and momentum of the hamiltonian of the system\n", + " dh_dposition, dh_dmomentum = hamiltonian_gradients_fn(pos, vel)\n", + " \n", + " # Hamilton equations\n", + " dpos_da = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * dh_dmomentum\n", + " dvel_da = - 1.5 * cosmo.Omega_m / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * dh_dposition\n", + "\n", + " return dpos_da, dvel_da" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "res = odeint(gnn_nbody_ode, [poss[0], vels[0]], jnp.array(scales), cosmo, rtol=1e-4, atol=1e-4)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figure(figsize=[10,10])\n", + "for i in range(16):\n", + " subplot(4,4,i+1)\n", + " imshow(cic_paint(jnp.zeros(mesh_shape), res[0][::2][i]).sum(axis=0), cmap='gist_stern',\n", + " vmax=cic_paint(jnp.zeros(mesh_shape), poss[::2][i]).sum(axis=0).max(),vmin=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/local/home/flanusse/.local/lib/python3.8/site-packages/jax/_src/lax/lax.py:488: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return _convert_element_type(operand, new_dtype, weak_type=False)\n" + ] + } + ], + "source": [ + "k, pk_c = power_spectrum(\n", + " compensate_cic(cic_paint(jnp.zeros(mesh_shape), res[0][-1])),\n", + " boxsize=np.array([25.] * 3),\n", + " kmin=np.pi / 25.,\n", + " dk=2 * np.pi / 25.)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$P(k)$')" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "loglog(k, pk_ref, label='N-body')\n", + "loglog(k, pk_i, label='JaxPM Pure PM')\n", + "loglog(k, pk_c, '--', label='JaxPM Hamiltonian GNN')\n", + "legend()\n", + "plt.xlabel(r\"$k$ [$h \\ \\mathrm{Mpc}^{-1}$]\")\n", + "plt.ylabel(r\"$P(k)$\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Try to combine large scale PM forces with PP interactions" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "from jaxpm.nn import NeuralSplineFourierFilter" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "# Instantiate the neural network\n", + "model = hk.without_apply_rng(hk.transform(lambda x,a : NeuralSplineFourierFilter(n_knots=16, latent_size=32)(x,a)))\n", + "params = model.init(next(rng_seq), jnp.zeros([64]), jnp.ones([1]))" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "def hamiltonian_from_state_fn(position, momentum, params):\n", + " def update_edge_fn(edges, senders, receivers, globals_):\n", + " del globals_\n", + " # Models particle-particle interactions contribution to grav potential\n", + " distance = jnp.linalg.norm(senders[\"position\"] - receivers[\"position\"], axis=1)\n", + " grav_potential_per_edge = - 1. / (distance + 0.5)\n", + " return frozendict({\"grav_potential\": grav_potential_per_edge})\n", + "\n", + " def update_node_fn(nodes, sent_edges, received_edges, globals_):\n", + " del sent_edges, received_edges, globals_\n", + "\n", + " # Compute gravitational potential by FFT\n", + " kvec = fftk(mesh_shape)\n", + " delta_k = jnp.fft.rfftn(cic_paint(jnp.zeros(mesh_shape), nodes[\"position\"]))\n", + " pot_k = - delta_k * laplace_kernel(kvec) * longrange_kernel(kvec, r_split=0)\n", + " \n", + " # Apply a correction filter to the potential, will take care of merging PM forces with PP\n", + " kk = jnp.sqrt(sum((ki/pi)**2 for ki in kvec))/2\n", + " pot_k = pot_k * model.apply(params, kk, jnp.ones([1]))\n", + " \n", + " grav_potential = 0.5 * (1 + cic_read(jnp.fft.irfftn(pot_k), nodes[\"position\"]))\n", + " \n", + " # Computes momentum\n", + " momentum_norm = jnp.linalg.norm(nodes[\"momentum\"],axis=1)\n", + " kinetic_energy = 0.5 * momentum_norm ** 2 \n", + " return frozendict({\"kinetic_energy\": kinetic_energy, \"grav_potential\":grav_potential})\n", + "\n", + " def update_global_fn(nodes, edges, globals_):\n", + " del globals_\n", + " # At this point we will receive node and edge features aggregated (summed)\n", + " # for all nodes and edges in each graph.\n", + " hamiltonian_per_graph = nodes['grav_potential'] + nodes[\"kinetic_energy\"] + edges[\"grav_potential\"]\n", + " return frozendict({\"hamiltonian\": hamiltonian_per_graph})\n", + "\n", + " hamiltonian_gnn = jraph.GraphNetwork(\n", + " update_edge_fn=update_edge_fn,\n", + " update_node_fn=update_node_fn,\n", + " update_global_fn=update_global_fn)\n", + "\n", + "\n", + " graph = static_graph._replace(nodes={\n", + " 'position': position,\n", + " 'momentum': momentum})\n", + " output_graph = hamiltonian_gnn(graph)\n", + " return output_graph.globals[\"hamiltonian\"].sum()\n", + "\n", + "hamiltonian_gradients_fn = jax.grad(hamiltonian_from_state_fn, argnums=[0, 1])" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "def gnn_nbody_ode(state, a, cosmo, params):\n", + " \"\"\"\n", + " state is a tuple (position, velocities)\n", + " \"\"\"\n", + " pos, vel = state\n", + " \n", + " # Take the derivatives against position and momentum of the hamiltonian of the system\n", + " dh_dposition, dh_dmomentum = hamiltonian_gradients_fn(pos, vel, params)\n", + " \n", + " # Hamilton equations\n", + " dpos_da = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * dh_dmomentum\n", + " dvel_da = - 1.5 * cosmo.Omega_m / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * dh_dposition\n", + "\n", + " return dpos_da, dvel_da" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "# Precomputing a few data stuff\n", + "ref_pos = jnp.stack(poss, axis=0)\n", + "ref_vel = jnp.stack(vels, axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "def loss_fn(params):\n", + " res = odeint(gnn_nbody_ode, [poss[0], vels[0]], jnp.array(scales), cosmo, params, rtol=1e-4, atol=1e-4) \n", + " distance = jnp.sum((res[0] - ref_pos)**2, axis=-1)\n", + " w = jnp.where(jnp.sqrt(distance) < 16, distance, 0.)\n", + "\n", + " # Optional lines to include velocity in the loss\n", + "# vel = jnp.sum((res[1] - ref_vel)**2, axis=-1)\n", + "# wv = jnp.where(jnp.sqrt(distance) < 8, vel, 0.)\n", + " \n", + " return jnp.mean(w) #+ jnp.mean(wv) \n", + "\n", + "@jax.jit\n", + "def update(params, opt_state):\n", + " \"\"\"Single SGD update step.\"\"\"\n", + " loss, grads = jax.value_and_grad(loss_fn)(params)\n", + " updates, new_opt_state = optimizer.update(grads, opt_state)\n", + " new_params = optax.apply_updates(params, updates)\n", + " return loss, new_params, new_opt_state" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "import optax\n", + "learning_rate=0.002\n", + "optimizer = optax.adam(learning_rate)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [], + "source": [ + "losses = []\n", + "opt_state = optimizer.init(params)" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/200 [00:00\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m 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Failed to load in-memory CUBIN: CUDA_ERROR_OUT_OF_MEMORY: out of memory" + ] + } + ], + "source": [ + "for step in tqdm(range(200)):\n", + " l, params, opt_state = update(params, opt_state)\n", + " losses.append(l)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot(losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [], + "source": [ + "res = odeint(gnn_nbody_ode, [poss[0], vels[0]], jnp.array(scales), cosmo, params, rtol=1e-4, atol=1e-4)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figure(figsize=[10,10])\n", + "for i in range(16):\n", + " subplot(4,4,i+1)\n", + " imshow(cic_paint(jnp.zeros(mesh_shape), res[0][::2][i]).sum(axis=0), cmap='gist_stern',\n", + " vmax=cic_paint(jnp.zeros(mesh_shape), poss[::2][i]).sum(axis=0).max(),vmin=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/local/home/flanusse/.local/lib/python3.8/site-packages/jax/_src/lax/lax.py:488: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return _convert_element_type(operand, new_dtype, weak_type=False)\n" + ] + } + ], + "source": [ + "k, pk_ref = power_spectrum(\n", + " compensate_cic(cic_paint(jnp.zeros(mesh_shape), poss[-1])),\n", + " boxsize=np.array([25.] * 3),\n", + " kmin=np.pi / 25.,\n", + " dk=2 * np.pi / 25.)\n", + "\n", + "k, pk_c = power_spectrum(\n", + " compensate_cic(cic_paint(jnp.zeros(mesh_shape), res[0][-1])),\n", + " boxsize=np.array([25.] * 3),\n", + " kmin=np.pi / 25.,\n", + " dk=2 * np.pi / 25.)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$P(k)$')" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "loglog(k, pk_ref, label='N-body')\n", + "loglog(k, pk_i, label='JaxPM Pure PM')\n", + "loglog(k, pk_c, '--', label='JaxPM Hamiltonian GNN')\n", + "legend()\n", + "plt.xlabel(r\"$k$ [$h \\ \\mathrm{Mpc}^{-1}$]\")\n", + "plt.ylabel(r\"$P(k)$\")" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "col = cm.viridis(np.linspace(0.,1.0,len(scales[::2]))) \n", + "\n", + "kvals = jnp.logspace(-2.,0,100)*sqrt(3)\n", + "\n", + "for i, a in enumerate(scales[::2]): \n", + " semilogx(kvals, model.apply(params, kvals , jnp.atleast_1d(1)), color=col[i])\n", + "\n", + "sm = plt.cm.ScalarMappable(cmap=\"viridis\", norm=plt.Normalize(vmin=0., vmax=1))\n", + "plt.colorbar(sm, label='a')\n", + "\n", + "#xlim(kvals[0], 1)\n", + "#ylim(0,5)\n", + "grid()" + ] + }, + { + "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": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}