{ "cells": [ { "cell_type": "markdown", "id": "116c997a", "metadata": {}, "source": [ "# Tutorial on distribution approximation and posterior estimation\n", "\n", "This notebook is an exercise in distribution approximation using Normalizing flows as implemented in the [pyro](https://pyro.ai/) library. The second half of the exercise shows the use case of posterior estimation using ML4GW tools.\n", "\n", "Libraries needed for the notebook are\n", "- `ml4gw==0.7.8`\n", "- `pyro-ppl`\n", "- `lightning`\n", "- `scikit-learn`\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "3cb39a27", "metadata": {}, "outputs": [], "source": [ "# uncomment to install these dependencies\n", "# ! pip install ml4gw==0.7.8 scikit-learn lightning pyro-ppl" ] }, { "cell_type": "code", "execution_count": 4, "id": "dbed175e", "metadata": {}, "outputs": [], "source": [ "from typing import Callable, List\n", "\n", "import h5py\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from sklearn import datasets\n", "from tqdm import tqdm\n", "\n", "import torch\n", "from torch import optim\n", "from torch.distributions import Normal, TransformedDistribution\n", "\n", "from pyro.nn import AutoRegressiveNN\n", "from pyro.distributions.transforms import AffineAutoregressive" ] }, { "cell_type": "code", "execution_count": 5, "id": "c5ed5771", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using device: cuda\n" ] } ], "source": [ "torch.manual_seed(1)\n", "# Check if GPU is available\n", "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n", "print(f\"Using device: {device}\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "e1d9f3ff", "metadata": {}, "outputs": [], "source": [ "samples, labels = datasets.make_moons(n_samples=1000, noise=0.1)" ] }, { "cell_type": "markdown", "id": "e9fb94ce", "metadata": {}, "source": [ "## Approximating the two-moon distribution" ] }, { "cell_type": "code", "execution_count": 7, "id": "48946402", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$y$')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(samples.T[0], samples.T[1], color=\"orange\")\n", "plt.title(\"Two moon distribution\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$y$\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "9b76414e", "metadata": {}, "outputs": [], "source": [ "samples = torch.from_numpy(samples).to(dtype=torch.float32, device=device)" ] }, { "cell_type": "markdown", "id": "d90e7a88", "metadata": {}, "source": [ "## Normalizing flow using Autoregressive Transforms\n", "\n", "The normalizing flow we implement below has affine autoregressive transforms. Most of the constructs are available in the pyro API.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "3c48ef08", "metadata": {}, "outputs": [], "source": [ "input_dim = 2 # data dimension\n", "hidden_dims = [50*input_dim, 50*input_dim, 50*input_dim]\n", "\n", "base_dist = Normal(\n", " torch.zeros(input_dim, device=device),\n", " torch.ones(input_dim, device=device)\n", ")\n", "\n", "arn = AutoRegressiveNN(\n", " input_dim,\n", " hidden_dims,\n", " param_dims=[1, 1]\n", ").to(device)" ] }, { "cell_type": "code", "execution_count": 10, "id": "7904cbe7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(tensor([[0.0149, 0.0908]], device='cuda:0'), tensor([[-0.0225, -0.0576]], device='cuda:0'))\n" ] } ], "source": [ "# two dimensional input -> mu and sigma\n", "with torch.no_grad():\n", " print(arn(torch.ones(1, 2, device=device)))\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "3d82755e", "metadata": {}, "outputs": [], "source": [ "transform = AffineAutoregressive(arn).to(device) # the \"affine\" part implies the linear relation between hidden dimensions" ] }, { "cell_type": "code", "execution_count": 12, "id": "71d5ff1e", "metadata": {}, "outputs": [], "source": [ "# the flow implementation is torch transformed distribution\n", "flow_dist = TransformedDistribution(base_dist, [transform])" ] }, { "cell_type": "markdown", "id": "43d8dfd0", "metadata": {}, "source": [ "The `flow_dist` is the normalizing flow: It is a distribution which can be evaluated, and sampled from." ] }, { "cell_type": "code", "execution_count": 13, "id": "9434204f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([[-0.3092, 2.6174],\n", " [-0.0878, -0.7060],\n", " [ 0.3213, -0.1771],\n", " [-1.4481, 2.3316],\n", " [ 0.0378, -2.5415],\n", " [-0.3469, 0.7560],\n", " [-1.3134, -0.0269],\n", " [-0.8357, -1.3689],\n", " [-0.4421, 0.1139],\n", " [-1.5013, -0.7086]], device='cuda:0')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flow_dist.sample([10]) # -> 10 samples" ] }, { "cell_type": "code", "execution_count": 14, "id": "f7e1ed42", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "log p(tensor([0., 0.], device='cuda:0')) = -1.749e+00\n", "log p(tensor([0., 1.], device='cuda:0')) = -2.220e+00\n", "log p(tensor([1., 0.], device='cuda:0')) = -2.252e+00\n", "log p(tensor([1., 1.], device='cuda:0')) = -2.728e+00\n" ] } ], "source": [ "# or evaluate the density\n", "example_points = torch.tensor(\n", " [\n", " [0., 0.],\n", " [0., 1.],\n", " [1., 0.],\n", " [1., 1.],\n", " ],\n", " device=device\n", ")\n", "with torch.no_grad():\n", " sample_log_prob = flow_dist.log_prob(example_points)\n", "for sample, log_prob in zip(example_points, sample_log_prob):\n", " print(f\"log p({sample}) = {log_prob:.3e}\")" ] }, { "cell_type": "markdown", "id": "f5138e21", "metadata": {}, "source": [ "## Now we learn this distribution\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "84e5fd4a", "metadata": {}, "outputs": [], "source": [ "optimizer = optim.Adam(transform.parameters(), lr=1e-4)\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "05f28a9d", "metadata": {}, "outputs": [], "source": [ "from IPython.display import clear_output\n", "from time import sleep\n", "\n", "def live_plot(x_vals, y_vals, iteration, labels=None):\n", " \"\"\"Auxiliary function to visualize the distribution\"\"\"\n", " clear_output(wait=True)\n", " sleep(1)\n", " fig, ax = plt.subplots(1, 1, figsize=(6, 6))\n", " ax.scatter(x_vals, y_vals, label='proxy')\n", " ax.scatter(samples.cpu().T[0], samples.cpu().T[1],\n", " alpha=0.1, label='Orig.', c=labels)\n", " ax.legend()\n", " ax.set_title('iteration {}'.format(iteration))\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "62ad469f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:14<00:00, 67.72it/s]\n" ] } ], "source": [ "num_iter = 1000\n", "for i in tqdm(range(num_iter)):\n", " optimizer.zero_grad()\n", " # take the original samples, and evaluate the likelihood.\n", " loss = -flow_dist.log_prob(samples).mean()\n", " loss.backward()\n", " optimizer.step()\n", "\n", " flow_dist.clear_cache() # pyro modules cache values and derivatives for performance\n", "\n", " if (i + 1) % 100 == 0:\n", " with torch.no_grad():\n", " samples_flow = flow_dist.sample(torch.Size([1000,])).cpu().numpy()\n", " live_plot(samples_flow[:,0], samples_flow[:,1], i + 1)\n", " plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "efaf0274", "metadata": {}, "source": [ "## Compose several transforms\n", "\n", "In the previous case we just had a single transform. Now we compose several of those and repeat" ] }, { "cell_type": "code", "execution_count": 18, "id": "f3c0ed31", "metadata": {}, "outputs": [], "source": [ "transforms = [\n", " AffineAutoregressive(\n", " AutoRegressiveNN(\n", " input_dim, hidden_dims,\n", " param_dims=[1, 1]\n", " ).to(device)\n", " ) for _ in range(10)\n", "]\n", "\n", "flow_dist = TransformedDistribution(base_dist, transforms)" ] }, { "cell_type": "code", "execution_count": 19, "id": "64342bd4", "metadata": {}, "outputs": [], "source": [ "trainable_parameters = []\n", "\n", "for t in transforms:\n", " trainable_parameters.extend(list(t.parameters()))\n" ] }, { "cell_type": "code", "execution_count": 20, "id": "41e4485a", "metadata": {}, "outputs": [], "source": [ "optimizer = optim.Adam(trainable_parameters, lr=1e-4)" ] }, { "cell_type": "code", "execution_count": 21, "id": "a0499c9d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:36<00:00, 27.65it/s]\n" ] } ], "source": [ "num_iter = 1000\n", "for i in tqdm(range(num_iter)):\n", "\n", " optimizer.zero_grad()\n", " loss = -flow_dist.log_prob(samples).mean()\n", " loss.backward()\n", " optimizer.step()\n", " flow_dist.clear_cache()\n", "\n", " if (i + 1) % 100 == 0:\n", " with torch.no_grad():\n", " samples_flow = flow_dist.sample(\n", " torch.Size([1000,])\n", " ).cpu().numpy()\n", "\n", " live_plot(samples_flow[:,0], samples_flow[:,1], i + 1)\n", " plt.xlim((-2.0, 3.0))\n", " plt.ylim((-1.5, 1.5))\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "46d2d7e5", "metadata": {}, "source": [ "## Condition and sample from each mode" ] }, { "cell_type": "code", "execution_count": 22, "id": "1ef8bf44", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(samples.cpu().T[0], samples.cpu().T[1], c=labels)\n", "plt.title(\"Two colored moon\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$y$\")\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 23, "id": "84f7c7e5", "metadata": {}, "outputs": [], "source": [ "labels = torch.from_numpy(labels).to(\n", " dtype=torch.float32,\n", " device=device\n", ").reshape(samples.shape[0], 1)" ] }, { "cell_type": "markdown", "id": "fb37b5d5", "metadata": {}, "source": [ "### Conditional distribution\n", "\n", "Let's learn the conditional approximator based on the color" ] }, { "cell_type": "code", "execution_count": 24, "id": "31133069", "metadata": {}, "outputs": [], "source": [ "from pyro.distributions import ConditionalTransformedDistribution\n", "from pyro.distributions.conditional import ConditionalComposeTransformModule\n", "from pyro.nn.auto_reg_nn import ConditionalAutoRegressiveNN\n", "from pyro.distributions.transforms import ConditionalAffineAutoregressive" ] }, { "cell_type": "code", "execution_count": 25, "id": "120f0283", "metadata": {}, "outputs": [], "source": [ "condition_dim = 1 # the color is either 0 or 1\n", "arn = ConditionalAutoRegressiveNN(\n", " input_dim,\n", " condition_dim,\n", " hidden_dims,\n", " param_dims=[1, 1]\n", ").to(device)" ] }, { "cell_type": "code", "execution_count": 26, "id": "ea08957c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(tensor([[-0.1096, -0.0174],\n", " [-0.1096, -0.0174],\n", " [-0.1096, -0.0174],\n", " [-0.1096, -0.0174],\n", " [-0.1096, -0.0174]], device='cuda:0'), tensor([[-0.0531, 0.0315],\n", " [-0.0531, 0.0315],\n", " [-0.0531, 0.0315],\n", " [-0.0531, 0.0315],\n", " [-0.0531, 0.0315]], device='cuda:0'))\n" ] } ], "source": [ "with torch.no_grad():\n", " print(\n", " arn(\n", " torch.ones(5, 2, device=device),\n", " # need to supply additional context\n", " context=torch.ones(5, 1, device=device)\n", " )\n", " )" ] }, { "cell_type": "code", "execution_count": 27, "id": "67013f07", "metadata": {}, "outputs": [], "source": [ "transforms = [\n", " ConditionalAffineAutoregressive(\n", " ConditionalAutoRegressiveNN(\n", " input_dim, condition_dim, hidden_dims,\n", " param_dims=[1, 1]\n", " ).to(device)\n", " ).to(device) for _ in range(5)\n", "]\n", "conditional_flow_dist = ConditionalTransformedDistribution(base_dist, transforms)" ] }, { "cell_type": "code", "execution_count": 28, "id": "ceea8946", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:25<00:00, 39.95it/s]\n" ] } ], "source": [ "trainable_parameters = []\n", "for t in transforms:\n", " trainable_parameters.extend(list(t.parameters()))\n", "\n", "optimizer = optim.Adam(trainable_parameters, lr=1e-4)\n", "\n", "\n", "num_iter = 1000\n", "for i in tqdm(range(num_iter)):\n", " optimizer.zero_grad()\n", " loss = -conditional_flow_dist.condition(labels).log_prob(samples).mean()\n", " loss.backward()\n", " optimizer.step()\n", " conditional_flow_dist.clear_cache()\n", "\n", " if (i + 1) % 100 == 0:\n", " inference_label = ((i + 1) // 100) % 2 # alternate between modes\n", " with torch.no_grad():\n", " samples_one = conditional_flow_dist.condition(\n", " torch.tensor([inference_label,]).to(dtype=torch.float32, device=device)\n", " ).sample(torch.Size([1000,])).cpu().numpy()\n", "\n", " live_plot(samples_one[:,0], samples_one[:,1], i + 1, labels=labels.cpu())\n", " plt.xlim((-2.0, 3.0))\n", " plt.ylim((-1.5, 1.5))\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "28533ee6", "metadata": {}, "source": [ "## Posterior estimation of gravitational-wave events\n", "\n", "### Get background data from LIGO detectors\n", "\n", "We will download some data from Sept 15, 2015, the day after the detection of GW150914\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "7dacaf6f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/env/lib/python3.10/site-packages/gwpy/time/__init__.py:36: UserWarning: Wswiglal-redir-stdio:\n", "\n", "SWIGLAL standard output/error redirection is enabled in IPython.\n", "This may lead to performance penalties. To disable locally, use:\n", "\n", "with lal.no_swig_redirect_standard_output_error():\n", " ...\n", "\n", "To disable globally, use:\n", "\n", "lal.swig_redirect_standard_output_error(False)\n", "\n", "Note however that this will likely lead to error messages from\n", "LAL functions being either misdirected or lost when called from\n", "Jupyter notebooks.\n", "\n", "To suppress this warning, use:\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "import lal\n", "\n", " from lal import LIGOTimeGPS\n" ] } ], "source": [ "from gwpy.timeseries import TimeSeries, TimeSeriesDict\n", "from pathlib import Path\n", "\n", "# Point this to whatever directory you want to house\n", "# all of the data products this notebook creates\n", "data_dir = Path(\"/tmp/data\")\n", "\n", "# And this to the directory where you want to download the data\n", "background_dir = data_dir / \"background_data\"\n", "background_dir.mkdir(parents=True, exist_ok=True)\n", "\n", "# This is a 10000s segment on Sept 15, 2015, the day after\n", "# GW150914 was detected\n", "segments = [\n", " (1126310417, 1126320417), \n", "]\n", "ifos = [\"H1\", \"L1\"] # Hanford and Livingston\n", "sample_rate = 2048 # Hz\n", "\n", "for (start, end) in segments:\n", " # Download the data from GWOSC. This will take a few minutes.\n", " duration = end - start\n", " fname = background_dir / f\"background-{start}-{duration}.hdf5\"\n", " if fname.exists():\n", " continue\n", "\n", " ts_dict = TimeSeriesDict()\n", " for ifo in ifos:\n", " ts_dict[ifo] = TimeSeries.fetch_open_data(ifo, start, end, cache=True)\n", " ts_dict = ts_dict.resample(sample_rate)\n", " ts_dict.write(fname, format=\"hdf5\")" ] }, { "cell_type": "markdown", "id": "07a4d2ea", "metadata": {}, "source": [ "## Create simulations using ML4GW tools" ] }, { "cell_type": "code", "execution_count": 30, "id": "609c651d", "metadata": {}, "outputs": [], "source": [ "from torch.distributions import Uniform\n", "\n", "# ml4gw components\n", "from ml4gw.waveforms import IMRPhenomD\n", "from ml4gw.waveforms.generator import TimeDomainCBCWaveformGenerator\n", "from ml4gw.waveforms.conversion import chirp_mass_and_mass_ratio_to_components\n", "\n", "from ml4gw.gw import compute_observed_strain, get_ifo_geometry\n", "\n", "from ml4gw.transforms import Whiten, SpectralDensity\n", "from ml4gw.distributions import PowerLaw, Sine, Cosine\n" ] }, { "cell_type": "markdown", "id": "d918b64c", "metadata": {}, "source": [ "We will use `InMemoryDataset` for dataloading. This can send the entire background to the GPU memory before training commences, and generates waveforms on-the-fly.\n", "\n", "This is useful for prototyping with small background stretches that is not too large to fit in device memory." ] }, { "cell_type": "code", "execution_count": 31, "id": "51e66b76", "metadata": {}, "outputs": [], "source": [ "\n", "from ml4gw.dataloading import InMemoryDataset\n" ] }, { "cell_type": "code", "execution_count": 32, "id": "0c228ecb", "metadata": {}, "outputs": [], "source": [ "# define priors to generate waveforms\n", "prior_dict = {\n", " \"chirp_mass\": Uniform(25, 35),\n", " \"mass_ratio\": Uniform(0.125, 0.999),\n", " \"chi1\": Uniform(-0.999, 0.999),\n", " \"chi2\": Uniform(-0.999, 0.999),\n", " \"distance\": PowerLaw(300, 700, 2.0),\n", " \"phic\": Uniform(0, 2*torch.pi),\n", " \"inclination\": Sine()\n", "}" ] }, { "cell_type": "markdown", "id": "4c32f2c5", "metadata": {}, "source": [ "### We will infer only on a subset of parameters for this exercise" ] }, { "cell_type": "code", "execution_count": 33, "id": "ac972ceb", "metadata": {}, "outputs": [], "source": [ "\n", "# define inference parameters for posterior estimation\n", "inference_params = {k:prior_dict[k] for k in ['chirp_mass', 'distance']}" ] }, { "cell_type": "markdown", "id": "67999a16", "metadata": {}, "source": [ "The `InMemoryDataset` is an `IterableDataset` that lazily loads batches from the background that is in device memory. We create a derived class that adds the capacity to do injections on top of lazily loaded batches. \n", "\n", "The main method below is `inject`. This yields a new background batch, dynamically estimates the PSD, generates and injects a batch of waveforms, and whitens it with the estimated PSD, all using `ml4gw` tools." ] }, { "cell_type": "code", "execution_count": 34, "id": "9576052a", "metadata": {}, "outputs": [], "source": [ "\n", "class InMemoryInjectionDataset(InMemoryDataset):\n", " def __init__(\n", " self,\n", " X,\n", " ifos: List[str] = [\"H1\", \"L1\"],\n", " kernel_length: int = 4.0,\n", " # PSD/whitening args\n", " fduration: float = 2,\n", " psd_length: float = 16,\n", " sample_rate: float = 2048,\n", " fftlength: float = 2,\n", " highpass: float = 32,\n", " # Dataloading args\n", " batch_size: int = 10,\n", " batches_per_epoch: int = 100,\n", " approximant = IMRPhenomD,\n", " prior_dict = prior_dict,\n", " f_min: float = 20,\n", " f_max: float = None,\n", " f_ref: float = 20,\n", " device: torch.device = device,\n", " ):\n", " self.kernel_size = int(kernel_length * sample_rate)\n", " self.sample_rate = sample_rate\n", " self.fduration = fduration\n", " self.window_size = self.kernel_size + int(fduration * sample_rate)\n", " self.psd_size = int(psd_length * sample_rate)\n", " self.batch_size = batch_size\n", " self.batches_per_epoch = batches_per_epoch\n", " self.device = device\n", " super().__init__(\n", " X,\n", " self.window_size + self.psd_size,\n", " None,\n", " self.batch_size,\n", " stride=1,\n", " batches_per_epoch=self.batches_per_epoch,\n", " coincident=False,\n", " shuffle=True,\n", " device=self.device,\n", " )\n", " self.ifos = ifos\n", " # real-time transformations defined with torch Modules\n", " self.spectral_density = SpectralDensity(\n", " sample_rate, fftlength, average=\"median\", fast=False\n", " ).to(self.device)\n", " self.whitener = Whiten(\n", " fduration, sample_rate, highpass=highpass\n", " ).to(self.device)\n", " # define some sky parameter distributions\n", " self.prior_dict = prior_dict\n", " torch_pi = torch.as_tensor(torch.pi, device=self.device)\n", " self.dec = Cosine(-torch_pi / 2, torch_pi / 2)\n", " self.psi = torch.distributions.Uniform(0, torch_pi)\n", " self.phi = torch.distributions.Uniform(\n", " -torch_pi, torch_pi\n", " ) # relative RAs of detector and source\n", " self.approx = approximant().to(self.device)\n", " self.waveform_generator = TimeDomainCBCWaveformGenerator(\n", " approximant=self.approx,\n", " sample_rate=sample_rate,\n", " duration=kernel_length + fduration,\n", " f_min=f_min,\n", " f_ref=f_ref,\n", " right_pad=0.5, # this means the merger is 0.5 seconds from the end\n", " ).to(self.device)\n", " self.detector_tensors, self.detector_vertices = get_ifo_geometry(*ifos)\n", " self.detector_tensors = self.detector_tensors.to(self.device)\n", " self.detector_vertices = self.detector_vertices.to(self.device)\n", "\n", " def project_waveforms(\n", " self, hc: torch.Tensor, hp: torch.Tensor\n", " ) -> torch.Tensor:\n", " # sample sky parameters\n", " N = len(hc)\n", " dec = self.dec.sample((N,)).to(hc)\n", " psi = self.psi.sample((N,)).to(hc)\n", " phi = self.phi.sample((N,)).to(hc)\n", "\n", " proj_params = {\n", " \"dec\": dec,\n", " \"psi\": psi,\n", " \"phi\": phi,\n", " }\n", " # project to interferometer response\n", " return compute_observed_strain(\n", " dec=dec,\n", " psi=psi,\n", " phi=phi,\n", " detector_tensors=self.detector_tensors,\n", " detector_vertices=self.detector_vertices,\n", " sample_rate=self.sample_rate,\n", " cross=hc,\n", " plus=hp,\n", " ), proj_params\n", "\n", " def generate_waveforms(self, batch_size: int) -> tuple[torch.Tensor, ...]:\n", " params = {\n", " k: v.sample((batch_size,)).to(self.device)\n", " for k, v in self.prior_dict.items()\n", " }\n", " # attach component masses if not present\n", " if \"mass_1\" not in params:\n", " params[\"mass_1\"], params[\"mass_2\"] = chirp_mass_and_mass_ratio_to_components(\n", " params[\"chirp_mass\"], params[\"mass_ratio\"]\n", " )\n", " if \"s1z\" not in params:\n", " params[\"s1z\"], params[\"s2z\"] = params[\"chi1\"], params[\"chi2\"]\n", " hc, hp = self.waveform_generator(**params)\n", " return hc, hp, params\n", "\n", " def inject(self, X: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor]:\n", " # break off \"background\" from target kernel and compute its PSD\n", " # (in double precision since our scale is so small)\n", " background, X = torch.split(\n", " X, [self.psd_size, self.window_size], dim=-1\n", " )\n", " psd = self.spectral_density(background.double())\n", "\n", " # generate polarizations\n", " hc, hp, params = self.generate_waveforms(self.batch_size)\n", "\n", " # project \n", " responses, proj_params = self.project_waveforms(hc, hp)\n", " \n", " # include sky params in returned params\n", " params.update(proj_params)\n", "\n", " # inject waveform into background and whiten\n", " X += responses.float()\n", " X = self.whitener(X, psd)\n", "\n", " return X, params\n", "\n", " def __iter__(self):\n", " for X in super().__iter__():\n", " X, params = self.inject(X)\n", " yield X, params" ] }, { "cell_type": "markdown", "id": "ed2887fb", "metadata": {}, "source": [ "Now create a `Lightning` datamodule using the above dataset." ] }, { "cell_type": "code", "execution_count": 35, "id": "a91dcc0a", "metadata": {}, "outputs": [], "source": [ "import pytorch_lightning as pl" ] }, { "cell_type": "code", "execution_count": 36, "id": "a68e4dcb", "metadata": {}, "outputs": [], "source": [ "class ML4GWInferenceDatamodule(pl.LightningDataModule):\n", " def __init__(\n", " self,\n", " background_file,\n", " ifos: List[str] = [\"H1\", \"L1\"],\n", " kernel_length: int = 4.0,\n", " # PSD/whitening args\n", " fduration: float = 2,\n", " psd_length: float = 16,\n", " sample_rate: float = 2048,\n", " fftlength: float = 2,\n", " highpass: float = 32,\n", " # Dataloading args\n", " batch_size: int = 10,\n", " batches_per_epoch: int = 100,\n", " approximant = IMRPhenomD,\n", " prior_dict = prior_dict,\n", " inference_params = inference_params,\n", " valid_frac: float = 0.2,\n", " f_min: float = 20,\n", " f_max: float = None,\n", " f_ref: float = 20,\n", " ):\n", " super().__init__()\n", " self.save_hyperparameters(\n", " ignore=[\n", " \"background_file\",\n", " \"ifos\",\n", " \"approximant\",\n", " \"prior_dict\",\n", " \"inference_params\"\n", " ]\n", " )\n", " self.background_file = background_file\n", " self.ifos = ifos\n", " self.approximant = approximant\n", " self.prior_dict = prior_dict\n", " self.inference_params = inference_params\n", "\n", " def setup(self, stage: str) -> None:\n", " if stage == 'fit' or stage == 'validate':\n", " # load background data\n", " background = []\n", " with h5py.File(self.background_file) as f:\n", " for ifo in self.ifos:\n", " hoft = f[ifo][:]\n", " background.append(hoft)\n", " background = torch.from_numpy(np.stack(background))\n", " # background, valid_background = split(\n", " # background, 1 - self.hparams.valid_frac, 1)\n", " valid_background_size = int(self.hparams.valid_frac * background.shape[-1])\n", " background, valid_background = torch.split(\n", " background,\n", " [\n", " background.shape[-1] - valid_background_size,\n", " valid_background_size\n", " ],\n", " dim=-1\n", " )\n", " device = self.trainer.model.device if self.trainer else \"cpu\"\n", " common_kwargs = dict(\n", " ifos=self.ifos,\n", " kernel_length=self.hparams.kernel_length,\n", " fduration=self.hparams.fduration,\n", " psd_length=self.hparams.psd_length,\n", " sample_rate=self.hparams.sample_rate,\n", " fftlength=self.hparams.fftlength,\n", " highpass=self.hparams.highpass,\n", " batch_size=self.hparams.batch_size,\n", " batches_per_epoch=self.hparams.batches_per_epoch,\n", " approximant=self.approximant,\n", " prior_dict=self.prior_dict,\n", " f_min=self.hparams.f_min,\n", " f_max=self.hparams.f_max,\n", " f_ref=self.hparams.f_ref,\n", " device=device,\n", " )\n", " self.training_dataset = InMemoryInjectionDataset(\n", " background,\n", " **common_kwargs\n", " )\n", " self.validation_dataset = InMemoryInjectionDataset(\n", " valid_background,\n", " **common_kwargs\n", " )\n", "\n", " def train_dataloader(self):\n", " return self.training_dataset\n", "\n", " def val_dataloader(self):\n", " return self.validation_dataset\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "9ea2bfa8", "metadata": {}, "outputs": [], "source": [ "# example usage of the datamodule\n", "datamodule = ML4GWInferenceDatamodule(background_dir / \"background-1126310417-10000.hdf5\")\n", "datamodule.setup('validate')" ] }, { "cell_type": "code", "execution_count": 38, "id": "10159a26", "metadata": {}, "outputs": [], "source": [ "for X_inj, param in datamodule.val_dataloader():\n", " break" ] }, { "cell_type": "code", "execution_count": 39, "id": "935803ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([10, 2, 8192])\n", "tensor([31.4181, 31.1354, 26.2650, 30.3907, 30.0710, 29.9760, 31.2173, 34.3678,\n", " 33.4446, 32.2733])\n" ] } ], "source": [ "print(X_inj.shape)\n", "print(param['chirp_mass'])" ] }, { "cell_type": "markdown", "id": "22742d97", "metadata": {}, "source": [ "## Now we build the Normalizing flow as a `LightningModule`\n", "\n", "The module has a learnable `architecture` which is used to summarize the strain data. The normalizing flow learns the distribution of the inference parameters given this data summary." ] }, { "cell_type": "code", "execution_count": 40, "id": "e1e93bef", "metadata": {}, "outputs": [], "source": [ "\n", "class ML4GWInferenceModel(pl.LightningModule):\n", " \"\"\"A LFI model using ML4GW tools\"\"\"\n", " def __init__(\n", " self,\n", " architecture: torch.nn.Module,\n", " inference_params: List[str] = inference_params,\n", " num_transforms: int = 20,\n", " num_blocks: int = 5,\n", " hidden_features: int = 250,\n", " context_dim: int = 32,\n", " learning_rate: float = 0.001,\n", " activation: Callable = torch.nn.Tanh,\n", " ) -> None:\n", " super().__init__()\n", " self.save_hyperparameters(\n", " ignore=[\"architecture\",]\n", " )\n", " self.nn = architecture\n", " # build the normalizing flow\n", " self.param_dim = len(inference_params)\n", " self.build_flow()\n", "\n", " def embedding_net(self, X):\n", " return self.nn(X)\n", " \n", " def training_step(self, batch, _):\n", " strain, param_dict = batch\n", " params = []\n", " for _ in self.hparams.inference_params.keys():\n", " params.append(param_dict[_])\n", " params = torch.stack(params, dim=1)\n", " loss = -self.log_prob(params, context=strain).mean()\n", " self.log(\n", " \"train_loss\", loss, on_step=True, prog_bar=True, sync_dist=False\n", " )\n", " return loss\n", "\n", " def validation_step(self, batch, _):\n", " strain, param_dict = batch\n", " params = []\n", " for _ in self.hparams.inference_params.keys():\n", " params.append(param_dict[_])\n", " params = torch.stack(params, dim=1)\n", " loss = -self.log_prob(params, context=strain).mean()\n", " self.log(\n", " \"valid_loss\", loss, on_epoch=True, prog_bar=True, sync_dist=True\n", " )\n", " return loss\n", "\n", " def configure_optimizers(self):\n", " optimizer = torch.optim.AdamW(self.parameters(), self.hparams.learning_rate)\n", " scheduler = torch.optim.lr_scheduler.OneCycleLR(\n", " optimizer,\n", " self.hparams.learning_rate,\n", " pct_start=0.1,\n", " total_steps=self.trainer.estimated_stepping_batches,\n", " )\n", " scheduler_config = dict(scheduler=scheduler, interval=\"step\")\n", " return dict(optimizer=optimizer, lr_scheduler=scheduler_config)\n", "\n", " def configure_callbacks(self):\n", " chkpt = pl.callbacks.ModelCheckpoint(monitor=\"valid_loss\", mode=\"min\")\n", " return [chkpt]\n", "\n", " def transform_block(self):\n", " \"\"\"Returns single autoregressive transform\"\"\"\n", " param_dim = len(self.hparams.inference_params)\n", " arn = ConditionalAutoRegressiveNN(\n", " param_dim,\n", " self.hparams.context_dim,\n", " self.hparams.num_blocks * [self.hparams.hidden_features],\n", " nonlinearity=self.hparams.activation(),\n", " )\n", " transform = ConditionalAffineAutoregressive(arn)\n", " return transform\n", "\n", " def flow(self):\n", " if not hasattr(self, \"transforms\"):\n", " raise RuntimeError(\"Flow is not built\")\n", " return ConditionalTransformedDistribution(\n", " self.distribution(), self.transforms\n", " )\n", "\n", " def distribution(self):\n", " \"\"\"Returns the base distribution for the flow\"\"\"\n", " return Normal(\n", " torch.zeros(self.param_dim, device=self.device),\n", " torch.ones(self.param_dim, device=self.device),\n", " )\n", "\n", " def build_flow(self):\n", " \"\"\"Build the transform\"\"\"\n", " self.transforms = []\n", " for idx in range(self.hparams.num_transforms):\n", " _transform = self.transform_block()\n", " self.transforms.extend([_transform])\n", " self.transforms = ConditionalComposeTransformModule(self.transforms)\n", "\n", " def log_prob(self, x, context):\n", " \"\"\"Wrapper `log_prob` from TransformedDistribution\"\"\"\n", " if not hasattr(self, \"transforms\"):\n", " raise RuntimeError(\"Flow is not built\")\n", " embedded_context = self.embedding_net(context)\n", " flow = self.flow()\n", " return flow.condition(embedded_context).log_prob(x)\n", "\n", " def sample(self, n, context):\n", " \"\"\"Wrapper around sample from TransformedDistribution object\"\"\"\n", " if not hasattr(self, \"transforms\"):\n", " raise RuntimeError(\"Flow is not built\")\n", " n = [n] if isinstance(n, int) else n\n", " embedded_context = self.embedding_net(context)\n", " flow = self.flow()\n", " return flow.condition(embedded_context).sample(n)\n", "\n" ] }, { "cell_type": "code", "execution_count": 41, "id": "71b4f444", "metadata": {}, "outputs": [], "source": [ "from ml4gw.nn.resnet import ResNet1D\n", "# we use a ResNet1D as the embedding network\n", "architecture = ResNet1D(\n", " in_channels=2,\n", " layers=[5, 5],\n", " classes=32,\n", " kernel_size=5,\n", ")" ] }, { "cell_type": "code", "execution_count": 42, "id": "8961589d", "metadata": {}, "outputs": [], "source": [ "log_dir = \"/tmp/pl-logs\"\n", "\n", "logger = pl.loggers.CSVLogger(log_dir, name=\"ml4gw-lfi-expt\")\n", "\n", "# create a fresh instance of the model\n", "model = ML4GWInferenceModel(\n", " architecture=architecture,\n", ")\n", "datamodule = ML4GWInferenceDatamodule(\n", " background_dir / \"background-1126310417-10000.hdf5\",\n", " batch_size=500 # adjust based on your device memory\n", ")\n" ] }, { "cell_type": "code", "execution_count": 43, "id": "b61c6fea", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using 16bit Automatic Mixed Precision (AMP)\n", "💡 Tip: For seamless cloud uploads and versioning, try installing [litmodels](https://pypi.org/project/litmodels/) to enable LitModelCheckpoint, which syncs automatically with the Lightning model registry.\n", "GPU available: True (cuda), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "The following callbacks returned in `LightningModule.configure_callbacks` will override existing callbacks passed to Trainer: ModelCheckpoint\n", "You are using a CUDA device ('NVIDIA A100-SXM4-40GB') that has Tensor Cores. To properly utilize them, you should set `torch.set_float32_matmul_precision('medium' | 'high')` which will trade-off precision for performance. For more details, read https://pytorch.org/docs/stable/generated/torch.set_float32_matmul_precision.html#torch.set_float32_matmul_precision\n", "LOCAL_RANK: 0 - CUDA_VISIBLE_DEVICES: [0]\n", "Loading `train_dataloader` to estimate number of stepping batches.\n", "/env/lib/python3.10/site-packages/pytorch_lightning/utilities/model_summary/model_summary.py:231: Precision 16-mixed is not supported by the model summary. Estimated model size in MB will not be accurate. Using 32 bits instead.\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------------------\n", "0 | nn | ResNet1D | 1.0 M | train\n", "1 | transforms | ConditionalComposeTransformModule | 5.2 M | train\n", "-------------------------------------------------------------------------\n", "6.2 M Trainable params\n", "0 Non-trainable params\n", "6.2 M Total params\n", "24.862 Total estimated model params size (MB)\n", "274 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1d356cd66d564b688a8d4c084bf5a07c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Sanity Checking: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "791e1095f8684d20872b2a0a8f806f01", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/env/lib/python3.10/site-packages/torch/optim/lr_scheduler.py:192: UserWarning: Detected call of `lr_scheduler.step()` before `optimizer.step()`. In PyTorch 1.1.0 and later, you should call them in the opposite order: `optimizer.step()` before `lr_scheduler.step()`. Failure to do this will result in PyTorch skipping the first value of the learning rate schedule. See more details at https://pytorch.org/docs/stable/optim.html#how-to-adjust-learning-rate\n", " warnings.warn(\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b79bd4e7ffb84c39aa161fa55ece33af", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b1077a3dd2aa4bcc84933f37e933fedd", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2cc435cfd64c4257b92f90df7e218e5a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b44c7cf97b614b278e911688ac37e707", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c15436e7c41e4b76acf685fea8729529", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "15b55213fdde4e369a962278fa290bc0", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Validation: | …" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "`Trainer.fit` stopped: `max_epochs=30` reached.\n" ] } ], "source": [ "\n", "# invoke trainer\n", "trainer = pl.Trainer(\n", " max_epochs=30,\n", " check_val_every_n_epoch=5,\n", " precision=\"16-mixed\",\n", " log_every_n_steps=20,\n", " logger=logger,\n", " accelerator=\"auto\",\n", ")\n", "trainer.fit(model, datamodule=datamodule)" ] }, { "cell_type": "markdown", "id": "48685e9a", "metadata": {}, "source": [ "## Test model against GW150914" ] }, { "cell_type": "markdown", "id": "ab081be6", "metadata": {}, "source": [ "We will download data around GW150914 and whiten it using `ml4gw` tools" ] }, { "cell_type": "code", "execution_count": 44, "id": "67725331", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ML4GWInferenceModel(\n", " (nn): ResNet1D(\n", " (conv1): Conv1d(2, 64, kernel_size=(7,), stride=(2,), padding=(3,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (maxpool): MaxPool1d(kernel_size=3, stride=2, padding=1, dilation=1, ceil_mode=False)\n", " (residual_layers): ModuleList(\n", " (0): Sequential(\n", " (0): BasicBlock(\n", " (conv1): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (1): BasicBlock(\n", " (conv1): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (2): BasicBlock(\n", " (conv1): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (3): BasicBlock(\n", " (conv1): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (4): BasicBlock(\n", " (conv1): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(64, 64, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " )\n", " (1): Sequential(\n", " (0): BasicBlock(\n", " (conv1): Conv1d(64, 128, kernel_size=(5,), stride=(2,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " (downsample): Sequential(\n", " (0): Conv1d(64, 128, kernel_size=(1,), stride=(2,), bias=False)\n", " (1): GroupNorm1D()\n", " )\n", " )\n", " (1): BasicBlock(\n", " (conv1): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (2): BasicBlock(\n", " (conv1): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (3): BasicBlock(\n", " (conv1): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " (4): BasicBlock(\n", " (conv1): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn1): GroupNorm1D()\n", " (relu): ReLU(inplace=True)\n", " (conv2): Conv1d(128, 128, kernel_size=(5,), stride=(1,), padding=(2,), bias=False)\n", " (bn2): GroupNorm1D()\n", " )\n", " )\n", " )\n", " (avgpool): AdaptiveAvgPool1d(output_size=1)\n", " (fc): Linear(in_features=128, out_features=32, bias=True)\n", " )\n", " (transforms): ConditionalComposeTransformModule(\n", " (0-19): 20 x ConditionalAffineAutoregressive(\n", " (nn): ConditionalAutoRegressiveNN(\n", " (layers): ModuleList(\n", " (0): MaskedLinear(in_features=34, out_features=250, bias=True)\n", " (1-4): 4 x MaskedLinear(in_features=250, out_features=250, bias=True)\n", " (5): MaskedLinear(in_features=250, out_features=4, bias=True)\n", " )\n", " (f): Tanh()\n", " )\n", " )\n", " )\n", ")" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.eval()" ] }, { "cell_type": "code", "execution_count": 51, "id": "a16d34ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading analysis data for ifo H1\n", "Downloading psd data for ifo H1\n", "Downloading analysis data for ifo L1\n", "Downloading psd data for ifo L1\n" ] } ], "source": [ "# Download and whiten GW150914 data\n", "from gwpy.timeseries import TimeSeries\n", "\n", "trigger_time = 1126259462.4\n", "duration = 6\n", "post_trigger_duration = 1.5 # whitening will trim 1s on each side\n", "end_time = trigger_time + post_trigger_duration\n", "start_time = end_time - duration\n", "\n", "psd_duration = 4 * duration\n", "psd_start_time = start_time - psd_duration\n", "psd_end_time = start_time\n", "\n", "data_ts = []\n", "psd_data_ts = []\n", "for det in [\"H1\", \"L1\"]:\n", " print(\"Downloading analysis data for ifo {}\".format(det))\n", " data = TimeSeries.fetch_open_data(det, start_time, end_time)\n", " data = data.resample(sample_rate)\n", " data_ts.append(\n", " torch.from_numpy(data.value.copy()))\n", " print(\"Downloading psd data for ifo {}\".format(det))\n", " psd_data = TimeSeries.fetch_open_data(det, psd_start_time, psd_end_time)\n", " psd_data = psd_data.resample(sample_rate)\n", " psd_data_ts.append(\n", " torch.from_numpy(psd_data.value.copy()))" ] }, { "cell_type": "code", "execution_count": 52, "id": "f3701f5e", "metadata": {}, "outputs": [], "source": [ "fftlength = 2\n", "fduration = 2\n", "\n", "spectral_density = SpectralDensity(\n", " sample_rate=sample_rate,\n", " fftlength=fftlength,\n", " overlap=None,\n", " average=\"median\",\n", ")\n", "\n", "whiten = Whiten(\n", " fduration=fduration,\n", " sample_rate=sample_rate,\n", " highpass=20\n", ")\n", "\n", "data_whitened = []\n", "for data, psd_data in zip(data_ts, psd_data_ts):\n", " psd = spectral_density(psd_data)\n", " data_whitened.append(whiten(data, psd).squeeze())\n", "\n", "data_whitened = torch.stack(data_whitened)" ] }, { "cell_type": "code", "execution_count": 53, "id": "02ab2fdf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Whitened Strain')" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = torch.linspace(0, duration - fduration, int(sample_rate * (duration - fduration)))\n", "for d_whitened, det in zip(data_whitened, ['H1', 'L1']):\n", " plt.plot(times, d_whitened.cpu().numpy(), label=det, alpha=0.7)\n", "plt.title(\"Whitened GW150914 data\")\n", "plt.legend()\n", "plt.xlabel(\"Time (s)\")\n", "plt.ylabel(\"Whitened Strain\")" ] }, { "cell_type": "markdown", "id": "2c4a384c", "metadata": {}, "source": [ "Sample from the flow, using the whitened data as context" ] }, { "cell_type": "code", "execution_count": 54, "id": "5c3b627b", "metadata": {}, "outputs": [], "source": [ "samples = model.sample(n=10000, context=data_whitened.unsqueeze(0))" ] }, { "cell_type": "code", "execution_count": 55, "id": "b0a77bcc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from corner import corner\n", "figure = corner(\n", " samples.cpu().numpy(),\n", " labels=[\n", " r\"$M_c$\",\n", " r\"$D_L$\",\n", " ],\n", " quantiles=[0.1, 0.5, 0.9],\n", " show_titles=True,\n", " title_kwargs={\"fontsize\": 12},\n", ")" ] }, { "cell_type": "markdown", "id": "3b5e4ef7", "metadata": {}, "source": [ "This is not the best constraining result since the flow needs to train for longer. For reference the [results from GWTC-1](https://gwosc.org/eventapi/html/GWTC-1-confident/GW150914/v3/) is $M_c = 28.6^{+1.7}_{-1.5}\\;M_{\\odot}$ and $D_L = 440^{+150}_{-170}$. But it is in the ballpark." ] }, { "cell_type": "markdown", "id": "e871f62e", "metadata": {}, "source": [ "There are a few key improvements in the production models deployed in LIGO-Virgo-KAGRA fourth observing run, compared to this tutorial (see the AMPLFI [methods](https://doi.org/10.1088/2632-2153/ad8982) and [validation](https://doi.org/10.48550/arXiv.2509.22561) papers):\n", "- A multimodal embedding network involving both time and frequency-domain data views\n", "- Standard scaling the parameters before forward-modeling with the normalizing flow\n", "- Marginalizing over a time-of-arrival window using data augmentation and self-supervised learning" ] } ], "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": "3.10.15" } }, "nbformat": 4, "nbformat_minor": 5 }