{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "CzLQiJG6n0xK" }, "source": [ "# Dirac Cosine Dictionaries\n", "\n", "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/carnotresearch/cr-sparse/blob/master/docs/tutorials/dirac_cosine_dictionaries.ipynb)\n", "\n", "\n", "In this tutorial we will:\n", "\n", "* Construct a Cosine basis\n", "* Construct a Dirac-Cosine dictionary.\n", "* Construct a signal which is a mixture of few\n", " impulses and a few sinusoids.\n", "* Construct its representation in the Cosine basis.\n", "* Recover its representation in Dirac-Cosine dictionary\n", " using following sparse recovery algorithms\n", " \n", " * Orthogonal Matching Pursuit\n", "\n", "* Measure the recovery error for different sparse\n", " recovery algorithms.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 8264, "status": "ok", "timestamp": 1622702902551, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "gmuRPCYgntD5", "outputId": "955c2d79-5c54-4adf-c175-d8b2d9655324" }, "outputs": [], "source": [ "# Make sure that cr-sparse package is available on colab\n", "!python -m pip install --quiet git+https://github.com/carnotresearch/cr-sparse.git" ] }, { "cell_type": "markdown", "metadata": { "id": "q44GPL3L6bN4" }, "source": [ "We use JAX for numerical computations. Importing JAX dependencies:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "executionInfo": { "elapsed": 2496, "status": "ok", "timestamp": 1622703003027, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "JDRCcvfnor20" }, "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp" ] }, { "cell_type": "markdown", "metadata": { "id": "r9P5G-YH6jm6" }, "source": [ "Importing relevant modules from the CR-Sparse library:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "executionInfo": { "elapsed": 960, "status": "ok", "timestamp": 1622703021479, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "flyHD0sWowvS" }, "outputs": [], "source": [ "import cr.sparse as crs\n", "import cr.sparse.dict as crdict\n", "import cr.sparse.pursuit as pursuit" ] }, { "cell_type": "markdown", "metadata": { "id": "WCQ1qEZS6sow" }, "source": [ "We will use `matplotlib` for all visualizations in this notebook." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "executionInfo": { "elapsed": 352, "status": "ok", "timestamp": 1622703052468, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "U9Q72WMko4iv" }, "outputs": [], "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "executionInfo": { "elapsed": 356, "status": "ok", "timestamp": 1622703075802, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "ukxdUhobo-gT" }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "id": "9Yu_B3B3sUY8" }, "source": [ "We will be working with signals in the space $\\mathbb{R}^M$. The dimension of signal space:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "executionInfo": { "elapsed": 386, "status": "ok", "timestamp": 1622702956194, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "fWjwRRYeoO7q" }, "outputs": [], "source": [ "M = 256" ] }, { "cell_type": "markdown", "metadata": { "id": "rqLNMkgUtnPW" }, "source": [ "The standard basis or identity basis or Dirac basis for the signal space $I \\in \\mathbb{R}^{M \\times M}$ can be easily constructed using JAX: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 536 }, "executionInfo": { "elapsed": 511, "status": "ok", "timestamp": 1622704411919, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "zUIjtOH2tzhg", "outputId": "9e905bac-15da-4ce2-daec-32a213b43008" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "I = jnp.eye(M)\n", "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.imshow(I, extent=[0, 1, 0, 1])\n", "plt.gray()\n", "plt.colorbar()\n", "plt.title(r'Dirac basis');" ] }, { "cell_type": "markdown", "metadata": { "id": "I-YFyS9ApRnP" }, "source": [ "## Cosine basis construction" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 980, "status": "ok", "timestamp": 1622703101081, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "p2zAo5A7ohqi", "outputId": "3cc385fe-edb7-4ec0-e3e2-ee643834c19c" }, "outputs": [ { "data": { "text/plain": [ "(256, 256)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Psi = crdict.cosine_basis(M)\n", "Psi.shape" ] }, { "cell_type": "markdown", "metadata": { "id": "HEJHr2QNseKs" }, "source": [ "Visualizing the Cosine basis" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 536 }, "executionInfo": { "elapsed": 2327, "status": "ok", "timestamp": 1622703117754, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "xRmsfztDpC5N", "outputId": "66bf9645-7a7a-48e7-d4a3-18299b488c5b" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.imshow(Psi, extent=[0, 1, 0, 1])\n", "plt.gray()\n", "plt.colorbar()\n", "plt.title(r'$\\Psi$');" ] }, { "cell_type": "markdown", "metadata": { "id": "511T_kzJpY32" }, "source": [ "## Dirac-Cosine dictionary construction" ] }, { "cell_type": "markdown", "metadata": { "id": "q2gwxwTtwxCI" }, "source": [ "A Dirac-Cosine dictionary is a concatenation of the two orthonormal bases (the Dirac basis and the Cosine basis). A simple way to do the same using Jax is: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "executionInfo": { "elapsed": 362, "status": "ok", "timestamp": 1622705258126, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "cei4pkoWxDhR" }, "outputs": [], "source": [ "jnp.hstack([I, Psi]);" ] }, { "cell_type": "markdown", "metadata": { "id": "Xn1tAHLLxWvG" }, "source": [ "CR-Sparse provides a ready-made method for constructing a Dirac-Cosine dictionary for $\\mathbb{R}^M$:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "executionInfo": { "elapsed": 373, "status": "ok", "timestamp": 1622703373141, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "DbN51bLZpDaD" }, "outputs": [], "source": [ "Phi = crdict.dirac_cosine_basis(M)" ] }, { "cell_type": "markdown", "metadata": { "id": "faxpFndkxU0P" }, "source": [ "As expected, the number of atoms in this dictionary is twice of $M$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 348, "status": "ok", "timestamp": 1622703380597, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "a2NNJQE1qI8h", "outputId": "e3ab3288-3fa5-49d9-8d7d-3a3746a99792" }, "outputs": [ { "data": { "text/plain": [ "(256, 512)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi.shape" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 387, "status": "ok", "timestamp": 1622705337460, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "tPc-CcOQqNHR", "outputId": "a118d195-2afa-47d2-fcde-66750ed66b91" }, "outputs": [ { "data": { "text/plain": [ "512" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = Phi.shape[1]\n", "N" ] }, { "cell_type": "markdown", "metadata": { "id": "zqNkw_8r4s7m" }, "source": [ "We can say that the dictionary $\\Phi$ maps representations in $\\mathbb{R}^N$ to signals in $\\mathbb{R}^M$. $\\mathbb{R}^N$ is called the representation space and $\\mathbb{R}^M$ is called the signal space." ] }, { "cell_type": "markdown", "metadata": { "id": "QL3w5sgdxoxM" }, "source": [ "Visualizing the Dirac-Cosine dictionary:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 495 }, "executionInfo": { "elapsed": 1928, "status": "ok", "timestamp": 1622703414174, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "YgtoTKPBqQng", "outputId": "8831d2c6-f818-43da-ac18-95ff793a47b6" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.imshow(Phi, extent=[0, 2, 0, 1])\n", "plt.gray()\n", "plt.colorbar()\n", "plt.title(r'$\\Phi$');" ] }, { "cell_type": "markdown", "metadata": { "id": "o0PT4lkqpf5w" }, "source": [ "## A mixture signal of impulses and sinusoids" ] }, { "cell_type": "markdown", "metadata": { "id": "qR2sO8wJx43C" }, "source": [ "We can combine some of the atoms from the Dirac basis and some of the atoms from the Cosine basis, alternatively, some atoms from Dirac-Cosine dictionary to form a signal which is a mixture of impulses and sinusoids. The atoms from Dirac basis contribute the impulses and the atoms from the Dirac basis contribute the sinusoids. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "executionInfo": { "elapsed": 637, "status": "ok", "timestamp": 1622706675995, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "XBysvNfTqZcK" }, "outputs": [], "source": [ "x = crs.build_signal_from_indices_and_values(N, [20, 30, 100, M+3, M+57], [1, -0.4, 0.6, 1.2, -0.8])\n", "y = Phi @ x" ] }, { "cell_type": "markdown", "metadata": { "id": "4meOYbghyOZP" }, "source": [ "Visualizing the mixture signal" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "executionInfo": { "elapsed": 753, "status": "ok", "timestamp": 1622706680271, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "usBFAtC7qfu4", "outputId": "f43b4fc8-b7b8-4ded-f60a-59d83084cd9d" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.stem(y, markerfmt='.', use_line_collection=True);" ] }, { "cell_type": "markdown", "metadata": { "id": "9ptXEeiUzI-z" }, "source": [ "Notice the three impulses. The periodic component is coming from the two sinusoids." ] }, { "cell_type": "markdown", "metadata": { "id": "8G0pc5UNzdqR" }, "source": [ "$x$ in the equation $y = \\Phi x$ above is the sparse representation of $y$ in the dictionary $\\Phi$. It is called a sparse representation as it consists of very few non-zero values corresponding to the atoms which contribute in the construction of $y$. CR-Sparse provides some convenient functions to extrat the non-zero indices and non-zero values of a sparse representation.\n", "\n", "The support $I$ of the representation $x$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 12, "status": "ok", "timestamp": 1622706725593, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "QpuM0Zt2qrQX", "outputId": "64cc139a-1326-4d22-fcb6-8873f05a9c0f" }, "outputs": [ { "data": { "text/plain": [ "DeviceArray([ 20, 30, 100, 259, 313], dtype=int32)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "crs.nonzero_indices(x)" ] }, { "cell_type": "markdown", "metadata": { "id": "nDltgG-K3pCe" }, "source": [ "The non-zero entries in $x$ over $I$ a.k.a. $x_I$:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 5, "status": "ok", "timestamp": 1622706728519, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "q5t_tju0qttN", "outputId": "b85d33bc-00d0-4415-f602-76d5a3884081" }, "outputs": [ { "data": { "text/plain": [ "DeviceArray([ 1. , -0.4, 0.6, 1.2, -0.8], dtype=float32)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "crs.nonzero_values(x)" ] }, { "cell_type": "markdown", "metadata": { "id": "CwbGsqE23v1u" }, "source": [ "We remind that we can write $y = \\Phi x$ as $y = \\Phi_I x_I$ too as atoms with zero contribution in $y$ can be removed from the computation." ] }, { "cell_type": "markdown", "metadata": { "id": "TccMW6ezpozr" }, "source": [ "## Mixture signal representation in Cosine basis" ] }, { "cell_type": "markdown", "metadata": { "id": "hHHxDn_j0RiD" }, "source": [ "The representation of a signal $y$ in an orthogonal basis $\\Psi$ is constructed by computing $\\Psi^T y$. Let's see how does our $y$ fare in the Cosine basis:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "executionInfo": { "elapsed": 346, "status": "ok", "timestamp": 1622706754418, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "Jl8qstxRqzEn" }, "outputs": [], "source": [ "y_Cosine = Psi.T @ y" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "executionInfo": { "elapsed": 752, "status": "ok", "timestamp": 1622706758969, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "O7zjzg-Fq2Rs", "outputId": "46fe07e1-c1c3-4550-ce1b-685f8c13dc98" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.stem(y_Cosine, markerfmt='.', use_line_collection=True);" ] }, { "cell_type": "markdown", "metadata": { "id": "Ooxk6QJV0h41" }, "source": [ "We can see that there are two impulses in the Cosine basis representation of $y$ which correspond to the sinusoids present in $y$. However, it also consists of a mix of sinusoids which are the representation of the impulses in $y$ in the Cosine basis. Thus, the representation of $y$ in the Cosine basis $\\Psi$ is not sparse. In fact, $y$ doesn't have a sparse representation in any orthonormal basis for $\\mathbb{R}^M$." ] }, { "cell_type": "markdown", "metadata": { "id": "jI4lKEuBpyiB" }, "source": [ "## Building a sparse representation in the Dirac Cosine basis\n", "\n", "Constructing the representation of $y$ in a dictionary is a non-trivial problem as it is an overcomplete set of atoms. There are infinite possible representations of $y$ in $\\Phi$. However, under suitable conditions, the sparse representation of $y$ in $\\Phi$ is unique. Also, under suitable conditions, there exist algorithms which can recover the sparse representation of $y$ in $\\Phi$. \n", "\n", "One class of algorithms is called greedy pursuit algorithms. A representative in this class is Orthogonal Matching Pursuit (OMP). In order to run this algorithm, it is imperative that we are aware of the number of non-zero entries in the sparse representation (a.k.a. the sparsity of the representation of $y$ in $\\Phi$). Fortunatley, in this example, we know this trivially:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 357, "status": "ok", "timestamp": 1622706843919, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "egv_WrphrKZ8", "outputId": "d195d066-ab29-4169-fcdb-a2f954e3f65e" }, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K = crs.nonzero_indices(x).size\n", "K" ] }, { "cell_type": "markdown", "metadata": { "id": "gozgNqPy2Aue" }, "source": [ "CR-Sparse provides a ready-made implementation of OMP. Let's import the module which provides this functionality. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "executionInfo": { "elapsed": 340, "status": "ok", "timestamp": 1622703683947, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "lvCdSRlNrTAH" }, "outputs": [], "source": [ "import cr.sparse.pursuit.omp" ] }, { "cell_type": "markdown", "metadata": { "id": "EeieaxH22NHn" }, "source": [ "Running the OMP sparse recovery algorithm:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "executionInfo": { "elapsed": 354, "status": "ok", "timestamp": 1622706853872, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "C9VQWXR-rU1a" }, "outputs": [], "source": [ "solution = pursuit.omp.solve(Phi, y, K)" ] }, { "cell_type": "markdown", "metadata": { "id": "l7Z2F4Iq2KqQ" }, "source": [ "In order to save space, the algorithm returns the nonzero values and their indices in the sparse representation:" ] }, { "cell_type": "markdown", "metadata": { "id": "1F72augd385F" }, "source": [ "The values at non-zero entries in the representation $x_I$:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 376, "status": "ok", "timestamp": 1622703729010, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "TtxOd673reAi", "outputId": "ecd52bd5-23d3-425e-d517-1f3f691a7534" }, "outputs": [ { "data": { "text/plain": [ "DeviceArray([ 1.1999999 , 1. , -0.7999999 , 0.59999996,\n", " -0.39999998], dtype=float32)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "solution.x_I" ] }, { "cell_type": "markdown", "metadata": { "id": "josf-4sB4E1g" }, "source": [ "The indices of non-zero entries $I$:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 355, "status": "ok", "timestamp": 1622703736916, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "z0Txoz45rf6q", "outputId": "394e6774-b3c9-44bb-fd99-6bb009ebd904" }, "outputs": [ { "data": { "text/plain": [ "DeviceArray([259, 20, 313, 100, 30], dtype=int32)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "solution.I" ] }, { "cell_type": "markdown", "metadata": { "id": "ZC1dUNPl4H_2" }, "source": [ "Note that the indices as identified by OMP may not be in the same order as earlier. The order of indices doesn't matter." ] }, { "cell_type": "markdown", "metadata": { "id": "Escsj6j74agV" }, "source": [ "CR-Sparse provides a convenient function to combine the non-zero indices and values to form the overall sparse representation in $\\mathbb{R}^N$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "executionInfo": { "elapsed": 343, "status": "ok", "timestamp": 1622703749870, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "Vuq88Tqjri1E" }, "outputs": [], "source": [ "z = crs.build_signal_from_indices_and_values(N, solution.I, solution.x_I)" ] }, { "cell_type": "markdown", "metadata": { "id": "RR_PhxDi5B54" }, "source": [ "Visualizing the representation:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "executionInfo": { "elapsed": 612, "status": "ok", "timestamp": 1622703797803, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "geB4MZ3CrtAN", "outputId": "638b56e1-8a63-40b3-c416-75e9128977c9" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.stem(z, markerfmt='.', use_line_collection=True);" ] }, { "cell_type": "markdown", "metadata": { "id": "xAzdC_2Xp_wf" }, "source": [ "## Sparse representation error" ] }, { "cell_type": "markdown", "metadata": { "id": "vuSTVyp25KP-" }, "source": [ "In general, OMP may be fed a signal $y = \\Phi x + e$ where $e$ is the sparse representation error. When OMP estimates $x$ is actually computes an approximation $\\hat{x}$. It also estimates a residual $r = y - \\Phi \\hat{x}$.\n", "\n", "The energy of the residual is given by:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 342, "status": "ok", "timestamp": 1622703709237, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "8bSwGgNJrZJ5", "outputId": "3a440144-d8c3-4b59-d6f0-f8a9fa3c7d26" }, "outputs": [ { "data": { "text/plain": [ "DeviceArray(3.802608e-14, dtype=float32)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "solution.r_norm_sqr" ] }, { "cell_type": "markdown", "metadata": { "id": "Ll9jM9Qg6Bj9" }, "source": [ "In this case, the energy of residual is very small as there was no representation error in the original computation $y = \\Phi x$. This residual energy corresponds to floating point computation errors.\n", "\n", "Visualizing the residual:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 528 }, "executionInfo": { "elapsed": 906, "status": "ok", "timestamp": 1622703834996, "user": { "displayName": "Shailesh Kumar", "photoUrl": "", "userId": "17557417109418259401" }, "user_tz": -330 }, "id": "X6CMDQSirzLy", "outputId": "8d747891-8cf2-4129-9545-08c4e6ca53a5" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", "plt.stem(solution.r, markerfmt='.', use_line_collection=True);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyO3YeiMR7gaVrk3fiedEptp", "name": "dirac_dct_dictionaries.ipynb", "provenance": [] }, "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": "3.9.4" } }, "nbformat": 4, "nbformat_minor": 1 }