From 8384e125b536aebd9b31c047f7d339af3df1062b Mon Sep 17 00:00:00 2001 From: Matei Adriel Date: Tue, 28 Mar 2023 01:04:30 +0200 Subject: [PATCH] python(denoising): Copied files over Signed-off-by: prescientmoon --- python/denoising/.gitignore | 4 + python/denoising/Main.ipynb | 278 ++++++++++++++++++++++++ python/denoising/Project02.pdf | Bin 0 -> 266376 bytes python/denoising/flake.lock | 43 ++++ python/denoising/flake.nix | 23 ++ python/denoising/modules/decompose.py | 44 ++++ python/denoising/modules/tridiagonal.py | 132 +++++++++++ 7 files changed, 524 insertions(+) create mode 100644 python/denoising/.gitignore create mode 100644 python/denoising/Main.ipynb create mode 100644 python/denoising/Project02.pdf create mode 100644 python/denoising/flake.lock create mode 100644 python/denoising/flake.nix create mode 100644 python/denoising/modules/decompose.py create mode 100644 python/denoising/modules/tridiagonal.py diff --git a/python/denoising/.gitignore b/python/denoising/.gitignore new file mode 100644 index 0000000..4eefea3 --- /dev/null +++ b/python/denoising/.gitignore @@ -0,0 +1,4 @@ +.direnv +.ipynb_checkpoints +.envrc +.pyc diff --git a/python/denoising/Main.ipynb b/python/denoising/Main.ipynb new file mode 100644 index 0000000..8a1f63b --- /dev/null +++ b/python/denoising/Main.ipynb @@ -0,0 +1,278 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9785abf6", + "metadata": {}, + "source": [ + "We have:\n", + "$$\n", + "\\nabla f = (I + \\beta A) \\vec s - \\vec y\n", + " = \\vec s - \\vec y + \\beta A \\vec s\n", + "$$ \n", + "We can substitute in the partial derivatives:\n", + "$$ \n", + "\\left(\\begin{matrix}\n", + "s_0 - y_0 + \\beta (s_0 - s_1) \\\\\n", + "s_1 - y_1 + \\beta (2s_1 - s_0 - s_2) \\\\\n", + "\\vdots \\\\\n", + "s_N - y_N + \\beta (s_N - s_{N - 1})\n", + "\\end{matrix}\\right) \n", + "= \\vec s - \\vec y + \\beta A \\vec s\n", + "$$\n", + "\n", + "Adding $\\vec y - \\vec s$ to both sides and then dividing by $\\beta$ yields:\n", + "$$ \n", + "\\left(\\begin{matrix}\n", + "s_0 - s_1 \\\\\n", + "2s_1 - s_0 - s_2 \\\\\n", + "\\vdots \\\\\n", + "s_N - s_{N - 1}\n", + "\\end{matrix}\\right) \n", + "= A \\vec s\n", + "$$\n", + "\n", + "Solving for $A$ is trivial and yields:\n", + "$$ \n", + "A = \\left(\\begin{matrix}\n", + "1 & -1 & & & & & \\\\\n", + "-1 & 2 & -1 & & & & \\\\\n", + " & -1 & 2 & -1 & & & \\\\\n", + " & & \\ddots & \\ddots & \\ddots & & \\\\\n", + " & & & -1 & 2 & -1 & \\\\\n", + " & & & & -1 & 2 & -1\\\\\n", + " & & & & & -1 & 1\n", + "\\end{matrix}\\right) \n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "e7d69a97", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import modules.tridiagonal as tridiagonal\n", + "\n", + "def sample_with_noise(points, vectorized_g):\n", + " \"\"\"\n", + " Sample a function at a given set of points,\n", + " introducing noise in the process.\n", + "\n", + " Returns a tuple of the real values of the function\n", + " and the values with introduced noise.\n", + "\n", + " For performance reasons, this function takes in\n", + " a vectorized version of `g`. If you want to pass\n", + " a non vectorized function use `np.vectorize`. Eg:\n", + " ```py\n", + " sample_with_noise(points, np.vectorize(g))\n", + " ```\n", + " \"\"\"\n", + " gs = vectorized_g(points)\n", + " ys = gs + 0.05 * np.random.randn(len(gs))\n", + "\n", + " return (gs, ys)\n", + "\n", + "def p(n, x):\n", + " \"\"\"\n", + " Vectorized version of the function\n", + " described in the pdf.\n", + " \"\"\"\n", + " result = 0\n", + "\n", + " for k in range(n + 1):\n", + " result += x**k\n", + "\n", + " return result/(n + 1)\n", + "\n", + "def sample_p(n, points):\n", + " \"\"\"\n", + " Samples the test function given in the pdf at\n", + " a given set of points, introducing noise in\n", + " the process.\n", + "\n", + " See `sample_with_noise` for the full return value.\n", + " \"\"\"\n", + " return sample_with_noise(points, lambda x: p(n, x))\n", + "\n", + "def smooth(data, beta):\n", + " \"\"\"\n", + " Smooth noisy data (y) by means of solving \n", + " a minimization problem.\n", + "\n", + " Args:\n", + " data (numpy.array): noisy data to be smoothed (y)\n", + " beta (float): parameter >= 0 that balances fit and smoothing\n", + "\n", + " Returns:\n", + " numpy array of smoothed data (s)\n", + " \"\"\"\n", + " x = data[0]\n", + " y = data[1]\n", + "\n", + " # We need to solve for s in:\n", + " # (I + βA)s - y = 0\n", + " # <=> (I + βA)s = y\n", + " #\n", + " # Because A and I are tridiagonal, I + βA\n", + " # is tridiagonal as well (linear combinations\n", + " # of tridiagonal matrices are themselves\n", + " # tridiagonal)\n", + " #\n", + " # This means we can use our existing implementation\n", + " # of tridiagonal linear equation system solving.\n", + " # \n", + " # We start by constructing \n", + " # iba := I + βA\n", + " n = len(x) - 1\n", + "\n", + " # The a component of the a-c-e tridiagonal representation of iba\n", + " iba_a = np.ones(n + 1) * (2 * beta + 1)\n", + " iba_a[0] = 1 + beta\n", + " iba_a[-1] = 1 + beta\n", + "\n", + " # I + βA\n", + " iba = (\n", + " iba_a,\n", + " -np.ones(n),\n", + " -np.ones(n)\n", + " )\n", + "\n", + " data_smoothed = tridiagonal.solve(*iba, y)\n", + "\n", + " return data_smoothed" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "2b9f2b79", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plot\n", + "\n", + "# Reusable function to plot the data\n", + "def plot_denoise_results(β, N, ax):\n", + " # Create the data\n", + " x = np.linspace(-1, 1, num=N+1)\n", + " g, y = sample_p(5, x)\n", + " s = smooth((x, y), β)\n", + "\n", + " ax.set_title(f\"{β=} and {N=}\")\n", + " ax.set_xlabel(\"x\")\n", + " ax.set_ylabel(\"y\")\n", + " ax.plot(x, y, \".\", label=\"raw data points\")\n", + " ax.plot(x, g, \"-\", label=\"original function\")\n", + " ax.plot(x, s, \"--\", label=\"denoised values\")\n", + " ax.legend()\n", + "\n", + "\n", + "N = 100\n", + "β = 10\n", + "\n", + "fig, ax = plot.subplots()\n", + "fig.suptitle(f\"Data denoising results\")\n", + "\n", + "# Plot the data\n", + "plot_denoise_results(β, N, ax)" + ] + }, + { + "cell_type": "markdown", + "id": "f2e5c860", + "metadata": {}, + "source": [ + "We notice that finding a point where $\\nabla f(s) = 0$ is the same as finding a point where $\\frac 1 \\beta \\nabla f(s) = \\nabla \\frac 1 \\beta f(s) = 0$. We can use this to our advantage, by defining $h(s) = \\frac 1 \\beta f(s)$ and finding the points where $\\nabla h(s) = 0$ instead. When $\\beta \\to \\infty$, we have:\n", + "$$\n", + "\\lim_{\\beta \\to \\inf} h _\\beta (s) =\n", + "\\lim_{\\beta \\to \\inf} \n", + " \\frac 1 {2\\beta} \\sum_{k=0}^n (y_k - s_k)^2\n", + " +\\frac 1 2 \\sum_{k=1}^n (s_k - s_{k - 1})^2\n", + " = \\frac 1 2 \\sum_{k=1}^n (s_k - s_{k - 1})^2\n", + "$$\n", + "\n", + "It now becomes trivial to verify that $\\nabla f(s) = As$, which means the solution to this will simply be the zero vector." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "d7f7dbdf", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plot.subplots(\n", + " 3,\n", + " 3,\n", + " layout=\"constrained\",\n", + " figsize=(12.8, 9.6)\n", + ")\n", + "\n", + "fig.suptitle(r\"Data denoising results as $\\beta \\to \\infty$\")\n", + "\n", + "N = 100\n", + "\n", + "for i in range(len(axs.flat)):\n", + " ax = axs.flat[i]\n", + " plot_denoise_results(2**i, N, ax)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dfc485d5", + "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": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git 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"github" + }, + "original": { + "owner": "numtide", + "repo": "flake-utils", + "type": "github" + } + }, + "nixpkgs": { + "locked": { + "lastModified": 1676428076, + "narHash": "sha256-8caqXsVSUvZqp4/pOLjbWWabzLEV/ZfDUiEv32WumKw=", + "owner": "nixos", + "repo": "nixpkgs", + "rev": "e0a054002198445ef987b55c34cde892cecc0de7", + "type": "github" + }, + "original": { + "owner": "nixos", + "ref": "release-22.11", + "repo": "nixpkgs", + "type": "github" + } + }, + "root": { + "inputs": { + "flake-utils": "flake-utils", + "nixpkgs": "nixpkgs" + } + } + }, + "root": "root", + "version": 7 +} diff --git a/python/denoising/flake.nix b/python/denoising/flake.nix new file mode 100644 index 0000000..5df3c75 --- /dev/null +++ b/python/denoising/flake.nix @@ -0,0 +1,23 @@ +{ + inputs = { + nixpkgs.url = "github:nixos/nixpkgs/release-22.11"; + flake-utils.url = "github:numtide/flake-utils"; + }; + + outputs = { self, nixpkgs, flake-utils }: + flake-utils.lib.eachDefaultSystem + (system: + let + pkgs = nixpkgs.legacyPackages.${system}; + pyDeps = p: with p; [ numpy scipy matplotlib ]; + in + rec { + devShell = pkgs.mkShell { + buildInputs = with pkgs; [ + (python3.withPackages pyDeps) + jupyter + pandoc + ]; + }; + }); +} diff --git a/python/denoising/modules/decompose.py b/python/denoising/modules/decompose.py new file mode 100644 index 0000000..24b31df --- /dev/null +++ b/python/denoising/modules/decompose.py @@ -0,0 +1,44 @@ +import numpy as np + +def decompose(M): + n = len(M) + + U = M.copy() + L = np.identity(n) + + for i in range(0, n - 1): + for j in range(i + 1, n): + L[j, i] = U[j, i] / U[i, i] + U[j, i:n] -= L[j, i] * U[i, i:n] + + assert np.allclose(M, L@U) + + return L, U + +def solve_lower(m, v): + x = np.zeros(len(v)) + + for i in range(0, len(v)): + x[i] = (v[i] - m[i, :i] @ x[:i]) / m[i, i] + + assert np.allclose(m@x, v) + + return x + +def solve_upper(m, v): + x = np.zeros(len(v)) + + for i in reversed(range(0, len(m))): + x[i] = (v[i] - m[i, i+1:] @ x[i+1:]) / m[i, i] + + assert np.allclose(m@x, v) + + return x + +def solve(m, v): + L, U = decompose(m) + x = solve_upper(U, solve_lower(L, v)) + + assert np.allclose(m@x, v) + + return x diff --git a/python/denoising/modules/tridiagonal.py b/python/denoising/modules/tridiagonal.py new file mode 100644 index 0000000..f80cabf --- /dev/null +++ b/python/denoising/modules/tridiagonal.py @@ -0,0 +1,132 @@ +import numpy as np +import scipy as sp + +def decompose(a, c, e): + """ + Computes the LU decomposition of a tridiagonal matrix. + """ + α = np.zeros(len(c)) + β = a.copy() + + for i in range(len(c)): + α[i] = e[i] / β[i] + β[i + 1] -= c[i] * α[i] + + # Sanity check + if len(a) <= 10: + assert np.allclose( + to_array(a, c, e), + to_array(*from_lower(α)) @ to_array(*from_upper(β, c)) + ) + + return (α, β) + +def to_csr(a, c, e): + """ + Converts a tridiagonal matrix into a scipy csr sparse matrix. + """ + n = len(c) + + values = np.zeros(n * 3 + 1) + values[::3] = a + values[1::3] = c + values[2::3] = e + + col_indices = np.zeros_like(values) + col_indices[1::3] = np.arange(1, n + 1) + col_indices[2::3] = np.arange(0, n) + col_indices[3::3] = np.arange(1, n + 1) + + index_ptr = np.zeros(n + 2) + index_ptr[1:n+1] = np.arange(2, n * 3 + 2, 3) + index_ptr[n+1] = n * 3 + 1 + + return sp.sparse.csr_array((values, col_indices, index_ptr)) + +def to_array(a, c, e): + """ + Converts a tridiagonal matrix into a numpy matrix. + """ + return to_csr(a, c, e).toarray() + +def from_lower(α): + """ + Turns the lower vector of a decomposition into a tridiagonal matrix. + + Example ussage: + ```py + α, β = decompose(m) + print(from_lower(α)) + ``` + """ + return (np.ones(len(α) + 1), np.zeros(len(α)), α) + +def from_upper(β, c): + """ + Turns the upper vectors of a decomposition into a tridiagonal matrix. + + Example ussage: + ```py + α, β = decompose((a, c, e)) + print(from_upper(β, c)) + ``` + """ + return (β, c, np.zeros(len(c))) + +def solve_lower(α, rhs): + """ + Solve a linear system of equations Mx = v + where M is a lower triangular matrix constructed + by LU decomposing a tridiagonal matrix. + """ + x = np.zeros_like(rhs) + + x[0] = rhs[0] + + for i in range(1, len(rhs)): + x[i] = rhs[i] - α[i - 1] * x[i - 1] + + if len(α) <= 10: + assert np.allclose(to_array(*from_lower(α)) @ x, rhs) + + return x + +def solve_upper(β, c, rhs): + """ + Solve a linear system of equations Mx = v + where M is an upper triangular matrix constructed + by LU decomposing a tridiagonal matrix. + """ + x = np.zeros_like(rhs) + + x[-1] = rhs[-1] / β[-1] + + for i in reversed(range(len(rhs) - 1)): + x[i] = (rhs[i] - c[i] * x[i+1]) / β[i] + + if len(β) <= 10: + assert np.allclose(to_array(*from_upper(β, c)) @ x, rhs) + + return x + +def solve(a, c, e, rhs): + α, β = decompose(a, c, e) + x = solve_upper(β, c, solve_lower(α, rhs)) + + if len(α) <= 10: + assert np.allclose(to_array(a, c, e)@x, rhs) + + return x + +# Small sanity check for the above code +def main(): + a, c, e = (np.ones(4), 2*np.ones(3), 3*np.ones(3)) + + rhs = np.ones(4) + result = solve(a, c, e, rhs) + print(f"m={to_array(a, c, e)}") + print(f"{rhs=}") + print(f"{result=}") + print(to_array(a, c, e) @ result) + +main()