{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 1: Kernel1D" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import torch\n", "from spectpsftoolbox.kernel1d import FunctionKernel1D, ArbitraryKernel1D\n", "from spectpsftoolbox.operator2d import GaussianOperator\n", "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1D kernels in `spectpsftoolbox` can be expressed as \n", "\n", "$$f(x,a) = A(a,\\vec{b}) \\cdot k\\left(\\frac{x}{\\sigma(a,\\vec{b})}\\right)$$\n", "\n", " where $x$ is position and $a$ is some scalar that the kernel depends on, and $\\vec{b}$ are additional hyperparameters. The amplitude $A(a)$ and scaling $\\sigma(a)$ may also depend on additional parameters. We start be defining them:\n", "\n", " * $A(a,\\vec{b}) = b_0 e^{-b_1a}$\n", " * $\\sigma(a,\\vec{b}) = b_0(a+0.1)$" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "amplitude_fn = lambda a, bs: bs[0]*torch.exp(-bs[1]*a)\n", "sigma_fn = lambda a, bs: bs[0]*(a+0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define the initial parameters $\\vec{b}$ they are expected to be torch tensors:\n", "* In the code below, we initialize $b_0=2$ and $b_1=0.1$ for $A(a,\\vec{b})$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "amplitude_params = torch.tensor([2,0.1], device=device, dtype=torch.float32)\n", "sigma_params = torch.tensor([0.3], device=device, dtype=torch.float32)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Function Kernel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For function kernels, $k(x)$ is set explicitly. Let's set $k(x) = e^{-|x|}$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "kernel_fn = lambda x: torch.exp(-torch.abs(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can build the function kernel:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/data/anaconda/envs/pytomo_install_test/lib/python3.11/site-packages/torchquad/integration/utils.py:255: UserWarning: DEPRECATION WARNING: In future versions of torchquad, an array-like object will be returned.\n", " warnings.warn(\n" ] } ], "source": [ "kernel1D = FunctionKernel1D(kernel_fn, amplitude_fn, sigma_fn, amplitude_params, sigma_params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets look at the value of the kernel at various values of $a$:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "x = torch.linspace(-5,5,100).to(device)\n", "a = torch.linspace(1,10,5).to(device)\n", "\n", "kernel_value = kernel1D(x, a)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(kernel_value.cpu().T)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also get normalized values:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([0.9961, 0.9930, 0.9504, 0.8828, 0.8111], device='cuda:0')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kernel_value = kernel1D(x, a, normalize=True)\n", "print(kernel_value.sum(dim=1))\n", "plt.plot(kernel_value.cpu().T)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Arbitrary Kernels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also define arbitrary kernels that have no explicit functional form given some data. For suppose the below was data we collected:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = torch.linspace(-10,10,1000).to(device)\n", "k_data = torch.exp(-torch.abs(x))*torch.abs(torch.sin(x))\n", "plt.plot(x.cpu(),k_data.cpu())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we can define an arbitrary kernel:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "arb_kernel1D = ArbitraryKernel1D(\n", " kernel=k_data,\n", " amplitude_fn=amplitude_fn,\n", " sigma_fn=sigma_fn,\n", " amplitude_params=amplitude_params,\n", " sigma_params=sigma_params,\n", " dx0 = x[1]-x[0] # needs to be provided\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets define some new positions different from the above and evaluate the kernel:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "x = torch.linspace(-9,9,500).to(device)\n", "a = torch.linspace(1,10,5).to(device)\n", "kernel_value = arb_kernel1D(x, a)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x.cpu(), kernel_value.cpu().T)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also get normalized values (each sums to 1)\n", "\n", "* Some of the more stretched ones don't sum to 1 because they have non-zero values outside the field of view" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([1.0008, 1.0000, 0.9956, 0.9684, 0.9556], device='cuda:0')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kernel_value = arb_kernel1D(x, a, normalize=True)\n", "print(kernel_value.sum(dim=1))\n", "plt.plot(x.cpu(), kernel_value.cpu().T)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pytomo_install_test", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 2 }