├── .gitignore ├── share └── jupyter │ ├── nbconvert │ └── templates │ │ └── material │ │ ├── conf.json │ │ ├── static │ │ ├── icons_font.ttf │ │ ├── voila_logo.svg │ │ ├── voila_logo_bleu.svg │ │ └── materialize.min.css │ │ └── index.html.j2 │ └── voila │ └── templates │ └── material │ ├── 404.html │ ├── browser-open.html │ ├── error.html │ ├── tree.html │ ├── index.html.j2 │ └── base.html ├── voila.json ├── images ├── material_dark.png ├── material_light.png ├── material_tree.png ├── material_spinner.png └── material_dark_spinner.png ├── environment.yml ├── jupyter_config.json ├── README.md ├── LICENSE ├── setup.py ├── gradient_descent.ipynb └── gaussian_process_regression.ipynb /.gitignore: -------------------------------------------------------------------------------- 1 | .ipynb_checkpoints/* 2 | voila_material.egg-info/* 3 | dist/* 4 | -------------------------------------------------------------------------------- /share/jupyter/nbconvert/templates/material/conf.json: -------------------------------------------------------------------------------- 1 | {"base_template": "lab"} -------------------------------------------------------------------------------- /voila.json: -------------------------------------------------------------------------------- 1 | { 2 | "VoilaConfiguration": { 3 | "template": "material" 4 | } 5 | } 6 | -------------------------------------------------------------------------------- /images/material_dark.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/images/material_dark.png -------------------------------------------------------------------------------- /images/material_light.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/images/material_light.png -------------------------------------------------------------------------------- /images/material_tree.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/images/material_tree.png -------------------------------------------------------------------------------- /images/material_spinner.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/images/material_spinner.png -------------------------------------------------------------------------------- /images/material_dark_spinner.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/images/material_dark_spinner.png -------------------------------------------------------------------------------- /environment.yml: -------------------------------------------------------------------------------- 1 | name: voila-material 2 | channels: 3 | - conda-forge 4 | dependencies: 5 | - bqplot 6 | - voila 7 | - voila-material=0.4.3 8 | -------------------------------------------------------------------------------- /jupyter_config.json: -------------------------------------------------------------------------------- 1 | { 2 | "VoilaConfiguration": { 3 | "enable_nbextensions": true, 4 | "template": "material" 5 | } 6 | } 7 | -------------------------------------------------------------------------------- /share/jupyter/nbconvert/templates/material/static/icons_font.ttf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/voila-dashboards/voila-material/HEAD/share/jupyter/nbconvert/templates/material/static/icons_font.ttf -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/404.html: -------------------------------------------------------------------------------- 1 | {% extends "error.html" %} 2 | 3 | {% block body %} 4 | {% call error_body(status_code, status_message) %} 5 |

You are requesting a page that does not exist!

6 | {% endcall %} 7 | {% endblock %} 8 | -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/browser-open.html: -------------------------------------------------------------------------------- 1 | {% extends "base.html" %} 2 | 3 | {% block head %} 4 | 5 | {% endblock %} 6 | 7 | {% block body %} 8 | {% call spinner() %} 9 |
10 | This page should redirect you to voila. If it doesn't, click here to go to voila. 11 |
12 | {% endcall %} 13 | {% endblock %} 14 | -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/error.html: -------------------------------------------------------------------------------- 1 | {% extends "base.html" %} 2 | 3 | {% macro error_body(code, message) -%} 4 |
5 |
6 |
7 |
8 |

{{ code }}: {{ message }}

9 | {{ caller() }} 10 |
11 |
12 |
13 |
14 | {%- endmacro %} 15 | 16 | {% block body %} 17 | {{ error_body(status_code, status_message) }} 18 | {% endblock %} 19 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # voila-material 2 | 3 | [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/voila-dashboards/voila-material/stable?urlpath=voila) 4 | 5 | Material design template for voila 6 | 7 | ## Installation 8 | 9 | You can install it using pip: 10 | 11 | ``` 12 | pip install voila-material 13 | ``` 14 | 15 | Or using conda: 16 | 17 | ``` 18 | conda install -c conda-forge voila-material 19 | ``` 20 | 21 | ## Usage 22 | 23 | ``` 24 | voila my_notebook.ipynb --template=material 25 | ``` 26 | 27 | Or for the dark theme: 28 | 29 | ``` 30 | voila my_notebook.ipynb --template=material --theme=dark 31 | ``` 32 | 33 | ### Light theme 34 | 35 | ![screenshot](./images/material_tree.png) 36 | ![screenshot](./images/material_spinner.png) 37 | ![screenshot](./images/material_light.png) 38 | 39 | ### Dark theme 40 | 41 | ![screenshot](./images/material_dark_spinner.png) 42 | ![screenshot](./images/material_dark.png) 43 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | BSD License 2 | 3 | Copyright (c) 2019 Voila contributors. 4 | All rights reserved. 5 | 6 | Redistribution and use in source and binary forms, with or without 7 | modification, are permitted provided that the following conditions are met: 8 | 9 | a. Redistributions of source code must retain the above copyright notice, 10 | this list of conditions and the following disclaimer. 11 | 12 | b. Redistributions in binary form must reproduce the above copyright 13 | notice, this list of conditions and the following disclaimer in the 14 | documentation and/or other materials provided with the distribution. 15 | 16 | c. Neither the name of the authors nor the names of the contributors to 17 | this package may be used to endorse or promote products 18 | derived from this software without specific prior written 19 | permission. 20 | 21 | 22 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 23 | AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 24 | IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 25 | ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR 26 | ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 27 | DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR 28 | SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER 29 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 30 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 31 | OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH 32 | DAMAGE. 33 | 34 | -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/tree.html: -------------------------------------------------------------------------------- 1 | {% extends "base.html" %} 2 | 3 | {% block head %} 4 | 9 | {% endblock %} 10 | 11 | {% block body %} 12 |
13 | 19 | 20 | 45 |
46 | {% endblock %} 47 | -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/index.html.j2: -------------------------------------------------------------------------------- 1 | {%- extends 'nbconvert/templates/material/index.html.j2' -%} 2 | 3 | {%- block html_head_css -%} 4 | {{ super() }} 5 | 44 | 45 | {%- endblock html_head_css -%} 46 | 47 | 48 | {% block footer_js %} 49 | {{ super() }} 50 | 68 | {% endblock footer_js %} 69 | 70 | -------------------------------------------------------------------------------- /share/jupyter/nbconvert/templates/material/index.html.j2: -------------------------------------------------------------------------------- 1 | {%- extends 'lab/index.html.j2' -%} 2 | 3 | {# this overrides the default behavior of directly starting the kernel and executing the notebook #} 4 | {% block notebook_execute %} 5 | {% endblock notebook_execute %} 6 | 7 | {%- block html_head_css -%} 8 | {{ super() }} 9 | {% if resources.theme == 'dark' %} 10 | {% set bar_color = '#555454' %} 11 | {% else %} 12 | {% set bar_color = '#5cbcaf' %} 13 | {% endif %} 14 | {{ resources.include_css("static/materialize.min.css") }} 15 | 16 | 40 | 41 | 53 | 54 | {%- endblock html_head_css -%} 55 | 56 | {%- block body -%} 57 | {%- block body_header -%} 58 | {{ super() }} 59 |
60 | 72 |
73 | 74 |
75 |
76 |
77 |
78 | {%- endblock body_header -%} 79 | 80 | {%- block body_loop -%} 81 | {% if resources.theme == 'dark' %} 82 | 92 |
93 |
94 |
95 | {{ super() }} 96 | {{ resources.include_js("static/materialize.min.js") }} 97 | {%- endblock body_footer -%} 98 | 99 | {%- endblock body -%} 100 | -------------------------------------------------------------------------------- /setup.py: -------------------------------------------------------------------------------- 1 | import sys 2 | import os 3 | from setuptools import setup 4 | from setuptools.command.develop import develop 5 | import contextlib 6 | 7 | pjoin = os.path.join 8 | 9 | 10 | # these are based on jupyter_core.paths 11 | def jupyter_config_dir(): 12 | """Get the Jupyter config directory for this platform and user. 13 | 14 | Returns JUPYTER_CONFIG_DIR if defined, else ~/.jupyter 15 | """ 16 | 17 | env = os.environ 18 | home_dir = get_home_dir() 19 | 20 | if env.get('JUPYTER_NO_CONFIG'): 21 | return _mkdtemp_once('jupyter-clean-cfg') 22 | 23 | if env.get('JUPYTER_CONFIG_DIR'): 24 | return env['JUPYTER_CONFIG_DIR'] 25 | 26 | return pjoin(home_dir, '.jupyter') 27 | 28 | 29 | def user_dir(): 30 | homedir = os.path.expanduser('~') 31 | # Next line will make things work even when /home/ is a symlink to 32 | # /usr/home as it is on FreeBSD, for example 33 | homedir = os.path.realpath(homedir) 34 | if sys.platform == 'darwin': 35 | return os.path.join(homedir, 'Library', 'Jupyter') 36 | elif os.name == 'nt': 37 | appdata = os.environ.get('APPDATA', None) 38 | if appdata: 39 | return os.path.join(appdata, 'jupyter') 40 | else: 41 | return os.path.join(jupyter_config_dir(), 'data') 42 | else: 43 | # Linux, non-OS X Unix, AIX, etc. 44 | xdg = env.get("XDG_DATA_HOME", None) 45 | if not xdg: 46 | xdg = pjoin(home, '.local', 'share') 47 | return pjoin(xdg, 'jupyter') 48 | 49 | 50 | class DevelopCmd(develop): 51 | prefix_targets = [ 52 | ("nbconvert/templates", 'material'), 53 | ("voila/templates", 'material') 54 | ] 55 | def run(self): 56 | target_dir = os.path.join(sys.prefix, 'share', 'jupyter') 57 | if '--user' in sys.prefix: # TODO: is there a better way to find out? 58 | target_dir = user_dir() 59 | target_dir = os.path.join(target_dir) 60 | 61 | for prefix_target, name in self.prefix_targets: 62 | source = os.path.join('share', 'jupyter', prefix_target, name) 63 | target = os.path.join(target_dir, prefix_target, name) 64 | target_subdir = os.path.dirname(target) 65 | if not os.path.exists(target_subdir): 66 | os.makedirs(target_subdir) 67 | rel_source = os.path.relpath(os.path.abspath(source), os.path.abspath(target_subdir)) 68 | try: 69 | os.remove(target) 70 | except: 71 | pass 72 | print(rel_source, '->', target) 73 | os.symlink(rel_source, target) 74 | 75 | super(DevelopCmd, self).run() 76 | 77 | 78 | # WARNING: all files generates during setup.py will not end up in the source distribution 79 | data_files = [] 80 | # Add all the templates 81 | for (dirpath, dirnames, filenames) in os.walk('share/jupyter/'): 82 | if filenames: 83 | data_files.append((dirpath, [os.path.join(dirpath, filename) for filename in filenames])) 84 | 85 | 86 | setup( 87 | name='voila-material', 88 | version="0.4.3", 89 | description="Material design template for voila", 90 | data_files=data_files, 91 | include_package_data=True, 92 | author='Voila Development Team', 93 | license="BSD-3-Clause", 94 | install_requires=['voila>=0.2.1,<0.6.0'], 95 | url='https://github.com/voila-dashboards/voila-material', 96 | keywords=[ 97 | 'ipython', 98 | 'jupyter', 99 | 'widgets', 100 | 'voila' 101 | ], 102 | packages=[], 103 | cmdclass={ 104 | 'develop': DevelopCmd, 105 | } 106 | ) 107 | -------------------------------------------------------------------------------- /share/jupyter/voila/templates/material/base.html: -------------------------------------------------------------------------------- 1 | {% macro spinner() -%} 2 |
3 |
4 | image/svg+xmlvoilaspin 5 |
6 | {{ caller() }} 7 |
8 | {%- endmacro %} 9 | 10 | 11 | 12 | 13 | {{ include_css("static/materialize.min.css") }} 14 | 15 | 16 | 63 | 64 | 65 | 98 | 99 | {% block head %} 100 | {% endblock %} 101 | 102 | 103 | 104 | 105 | 106 | {% block body %} 107 | {% endblock %} 108 | 109 | {{ include_js("static/materialize.min.js") }} 110 | 111 | 112 | -------------------------------------------------------------------------------- /share/jupyter/nbconvert/templates/material/static/voila_logo.svg: -------------------------------------------------------------------------------- 1 | BLEU-fond-transparent-2 -------------------------------------------------------------------------------- /share/jupyter/nbconvert/templates/material/static/voila_logo_bleu.svg: -------------------------------------------------------------------------------- 1 | BLEU-fond-transparent -------------------------------------------------------------------------------- /gradient_descent.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "metadata": {}, 6 | "source": [ 7 | "## Notebook copied from https://github.com/ChakriCherukuri/mlviz" 8 | ] 9 | }, 10 | { 11 | "cell_type": "markdown", 12 | "metadata": {}, 13 | "source": [ 14 | "

Gradient Descent

\n", 15 | "* Given a the multi-variable function $\\large {F(x)}$ differentiable in a neighborhood of a point $\\large a$\n", 16 | "* $\\large F(x)$ decreases fastest if one goes from $\\large a$ in the direction of the negative gradient of $\\large F$ at $\\large a$, $\\large -\\nabla{F(a)}$\n", 17 | "\n", 18 | "

Gradient Descent Algorithm:

\n", 19 | "* Choose a starting point, $\\large x_0$\n", 20 | "* Choose the sequence $\\large x_0, x_1, x_2, ...$ such that\n", 21 | "$ \\large x_{n+1} = x_n - \\eta \\nabla(F(x_n) $\n", 22 | "\n", 23 | "So convergence of the gradient descent depends on the starting point $\\large x_0$ and the learning rate $\\large \\eta$" 24 | ] 25 | }, 26 | { 27 | "cell_type": "code", 28 | "execution_count": null, 29 | "metadata": {}, 30 | "outputs": [], 31 | "source": [ 32 | "from time import sleep\n", 33 | "\n", 34 | "import numpy as np\n", 35 | "\n", 36 | "from ipywidgets import *\n", 37 | "import bqplot.pyplot as plt\n", 38 | "from bqplot import Toolbar" 39 | ] 40 | }, 41 | { 42 | "cell_type": "code", 43 | "execution_count": null, 44 | "metadata": {}, 45 | "outputs": [], 46 | "source": [ 47 | "f = lambda x: np.exp(-x) * np.sin(5 * x)\n", 48 | "df = lambda x: -np.exp(-x) * np.sin(5 * x) + 5 * np.cos(5 *x) * np.exp(-x)" 49 | ] 50 | }, 51 | { 52 | "cell_type": "code", 53 | "execution_count": null, 54 | "metadata": {}, 55 | "outputs": [], 56 | "source": [ 57 | "x = np.linspace(0.5, 2.5, 500)\n", 58 | "y = f(x)" 59 | ] 60 | }, 61 | { 62 | "cell_type": "code", 63 | "execution_count": null, 64 | "metadata": {}, 65 | "outputs": [], 66 | "source": [ 67 | "def update_sol_path(x, y):\n", 68 | " with sol_path.hold_sync():\n", 69 | " sol_path.x = x\n", 70 | " sol_path.y = y\n", 71 | " \n", 72 | " with sol_points.hold_sync():\n", 73 | " sol_points.x = x\n", 74 | " sol_points.y = y" 75 | ] 76 | }, 77 | { 78 | "cell_type": "code", 79 | "execution_count": null, 80 | "metadata": {}, 81 | "outputs": [], 82 | "source": [ 83 | "def gradient_descent(x0, f, df, eta=.1, tol=1e-6, num_iters=10):\n", 84 | " x = [x0]\n", 85 | " i = 0\n", 86 | " \n", 87 | " while i < num_iters:\n", 88 | " x_prev = x[-1]\n", 89 | " grad = df(x_prev)\n", 90 | " x_curr = x_prev - eta * grad\n", 91 | " x.append(x_curr)\n", 92 | " sol_lbl.value = sol_lbl_tmpl.format(x_curr)\n", 93 | " sleep(.5)\n", 94 | " \n", 95 | " update_sol_path(x, [f(i) for i in x])\n", 96 | " \n", 97 | " if np.abs(x_curr - x_prev) < tol:\n", 98 | " break\n", 99 | " i += 1" 100 | ] 101 | }, 102 | { 103 | "cell_type": "code", 104 | "execution_count": null, 105 | "metadata": { 106 | "scrolled": false 107 | }, 108 | "outputs": [], 109 | "source": [ 110 | "txt_layout = Layout(width='150px')\n", 111 | "x0_box = FloatText(description='x0', layout=txt_layout, value=2.4)\n", 112 | "eta_box = FloatText(description='Learning Rate', \n", 113 | " style={'description_width':'initial'}, \n", 114 | " layout=txt_layout, value=.1)\n", 115 | "\n", 116 | "go_btn = Button(description='GO', button_style='success', layout=Layout(width='50px'))\n", 117 | "reset_btn = Button(description='Reset', button_style='success', layout=Layout(width='100px'))\n", 118 | "\n", 119 | "sol_lbl_tmpl = 'x = {:.4f}'\n", 120 | "sol_lbl = Label()\n", 121 | "sol_lbl.layout.width = '300px'\n", 122 | "\n", 123 | "# plot of curve and solution\n", 124 | "fig_layout = Layout(width='720px', height='500px')\n", 125 | "fig = plt.figure(layout=fig_layout, title='Gradient Descent', display_toolbar=True)\n", 126 | "fig.pyplot = Toolbar(figure=fig)\n", 127 | "\n", 128 | "curve = plt.plot(x, y, colors=['dodgerblue'], stroke_width=2)\n", 129 | "sol_path = plt.plot([], [], colors=['#ccc'], opacities=[.7])\n", 130 | "sol_points = plt.plot([], [], 'mo', default_size=20)\n", 131 | "\n", 132 | "def optimize():\n", 133 | " f.marks = [curve]\n", 134 | " gradient_descent(x0_box.value, f, df, eta=eta_box.value)\n", 135 | "\n", 136 | "def reset():\n", 137 | " curve.scales['x'].min = .4\n", 138 | " curve.scales['x'].max = 2.5\n", 139 | " \n", 140 | " curve.scales['y'].min = -.5\n", 141 | " curve.scales['y'].max = .4\n", 142 | " sol_path.x = sol_path.y = []\n", 143 | " sol_points.x = sol_points.y = []\n", 144 | " sol_lbl.value = ''\n", 145 | " \n", 146 | "go_btn.on_click(lambda btn: optimize())\n", 147 | "reset_btn.on_click(lambda btn: reset())\n", 148 | "\n", 149 | "final_fig = VBox([fig, fig.pyplot], \n", 150 | " layout=Layout(overflow_x='hidden'))\n", 151 | "HBox([final_fig, VBox([x0_box, eta_box, go_btn, reset_btn, sol_lbl])])" 152 | ] 153 | } 154 | ], 155 | "metadata": { 156 | "kernelspec": { 157 | "display_name": "Python 3", 158 | "language": "python", 159 | "name": "python3" 160 | }, 161 | "language_info": { 162 | "codemirror_mode": { 163 | "name": "ipython", 164 | "version": 3 165 | }, 166 | "file_extension": ".py", 167 | "mimetype": "text/x-python", 168 | "name": "python", 169 | "nbconvert_exporter": "python", 170 | "pygments_lexer": "ipython3", 171 | "version": "3.7.3" 172 | } 173 | }, 174 | "nbformat": 4, 175 | "nbformat_minor": 1 176 | } 177 | -------------------------------------------------------------------------------- /gaussian_process_regression.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "metadata": {}, 6 | "source": [ 7 | "## Notebook copied from https://github.com/ChakriCherukuri/mlviz" 8 | ] 9 | }, 10 | { 11 | "cell_type": "markdown", 12 | "metadata": {}, 13 | "source": [ 14 | "

Multi-variate Gaussian Distribution

\n", 15 | "\n", 16 | "The multivariate normal distribution of a k-dimensional random vector $ \\large X =(X_{1},\\ldots ,X_{k})^{T}$ is given by:
\n", 17 | "$ \\large X \\sim N \\boldsymbol (\\mu, \\boldsymbol \\Sigma) $\n", 18 | "with k-dimensional mean vector
\n", 19 | "$ \\large \\boldsymbol \\mu = E[X] = [E[X_{1}], E[X_{2}],\\ldots , E[X_{k}]]^{T} $\n", 20 | "\n", 21 | "and $ \\large k \\times k $ covariance matrix $\\large \\Sigma $\n", 22 | "\n", 23 | "

Gaussian Process

\n", 24 | "* GP is Gaussian distribution over functions. We are learning a *distribution* from empirical data\n", 25 | "* Start with prior $\\large f_{prior} \\sim N (\\boldsymbol 0, \\boldsymbol K) $\n", 26 | "* Compute the posterior from training samples by doing a bayesian update
\n", 27 | "$ \\large f_{posterior} \\sim N \\boldsymbol (\\mu_{*}, \\Sigma_{*}) $ where
\n", 28 | "$ \\large \\mu_* = K_* K^{-1} y $
\n", 29 | "$ \\large \\Sigma_* = K_{∗∗} − K_∗ K^{−1} K^T $\n" 30 | ] 31 | }, 32 | { 33 | "cell_type": "code", 34 | "execution_count": null, 35 | "metadata": {}, 36 | "outputs": [], 37 | "source": [ 38 | "import numpy as np\n", 39 | "from ipywidgets import *\n", 40 | "import bqplot.pyplot as plt\n", 41 | "from bqplot import *" 42 | ] 43 | }, 44 | { 45 | "cell_type": "code", 46 | "execution_count": null, 47 | "metadata": {}, 48 | "outputs": [], 49 | "source": [ 50 | "def squared_exponential(x1, x2, sigma=1., l=1.):\n", 51 | " z = (x1 - x2[:, np.newaxis]) / l\n", 52 | " return sigma**2 * np.exp(-.5 * z ** 2)" 53 | ] 54 | }, 55 | { 56 | "cell_type": "code", 57 | "execution_count": null, 58 | "metadata": {}, 59 | "outputs": [], 60 | "source": [ 61 | "def gp_regression(X_train, y_train, X_test,\n", 62 | " kernel=squared_exponential,\n", 63 | " sigma_noise=.1,\n", 64 | " params=dict(sigma=1., l=1.)):\n", 65 | " # compute the kernel matrices for train, train_test, test combinations\n", 66 | " K = kernel(X_train, X_train, **params)\n", 67 | " K_s = kernel(X_train, X_test, **params)\n", 68 | " K_ss = kernel(X_test, X_test, **params)\n", 69 | " \n", 70 | " n, p = len(X_train), len(X_test)\n", 71 | " \n", 72 | " # compute the posterior mean and cov\n", 73 | " mu_s = np.dot(K_s, np.linalg.solve(K + sigma_noise**2 * np.eye(n), y_train))\n", 74 | " cov_s = K_ss - np.dot(K_s, np.linalg.solve(K + sigma_noise**2 * np.eye(n), K_s.T))\n", 75 | " \n", 76 | " # prior and posterior moments\n", 77 | " mu_prior, cov_prior = np.zeros(p), K_ss\n", 78 | " mu_post, cov_post = mu_s, cov_s + sigma_noise**2\n", 79 | " \n", 80 | " return dict(prior=(mu_prior, cov_prior), \n", 81 | " posterior=(mu_post, cov_post))" 82 | ] 83 | }, 84 | { 85 | "cell_type": "code", 86 | "execution_count": null, 87 | "metadata": {}, 88 | "outputs": [], 89 | "source": [ 90 | "kernel = squared_exponential\n", 91 | "params = dict(sigma=1., l=1.)\n", 92 | "\n", 93 | "X_test = np.arange(-5, 5, .05)\n", 94 | "p = len(X_test)\n", 95 | "K_ss = kernel(X_test, X_test, **params)\n", 96 | "mu_prior, cov_prior = np.zeros(p), K_ss\n", 97 | "\n", 98 | "N = 5\n", 99 | "f_priors = np.random.multivariate_normal(mu_prior, cov_prior, N)" 100 | ] 101 | }, 102 | { 103 | "cell_type": "code", 104 | "execution_count": null, 105 | "metadata": { 106 | "scrolled": true 107 | }, 108 | "outputs": [], 109 | "source": [ 110 | "fig_margin=dict(top=60, bottom=40, left=50, right=0)\n", 111 | "\n", 112 | "fig = plt.figure(title='Gaussian Process Regression', \n", 113 | " layout=Layout(width='1000px', height='600px'),\n", 114 | " fig_margin=fig_margin)\n", 115 | "\n", 116 | "plt.scales(scales={'x': LinearScale(min=-5, max=5),\n", 117 | " 'y': LinearScale(min=-5, max=5)})\n", 118 | "\n", 119 | "train_scat = plt.scatter([], [], colors=['salmon'], \n", 120 | " enable_move=True,\n", 121 | " interactions={'click': 'add'},\n", 122 | " marker_size=1, marker='square')\n", 123 | "\n", 124 | "prior_lines = plt.plot(X_test, f_priors, stroke_width=1, colors=['#ccc'])\n", 125 | "posterior_lines = plt.plot(X_test, [], stroke_width=1)\n", 126 | "\n", 127 | "mean_line = plt.plot(X_test, [], 'm')\n", 128 | "std_bands = plt.plot(X_test, [],\n", 129 | " fill='between',\n", 130 | " fill_colors=['orange'],\n", 131 | " fill_opacities=[.2], stroke_width=0)\n", 132 | "plt.xlabel('X')\n", 133 | "plt.ylabel('Y')\n", 134 | "\n", 135 | "# reset btn\n", 136 | "reset_button = Button(description='Reset Points', button_style='success')\n", 137 | "reset_button.layout.margin = '20px 0px 0px 70px'\n", 138 | "\n", 139 | "# controls for the plot\n", 140 | "f_priors_cb = Checkbox(description='Display 5 Priors?')\n", 141 | "f_posteriors_cb = Checkbox(description='Display 5 Posteriors?')\n", 142 | "std_bands_cb = Checkbox(description='Display Std Bands?')\n", 143 | "check_boxes = [f_priors_cb, f_posteriors_cb, std_bands_cb]\n", 144 | "\n", 145 | "# link widgets\n", 146 | "_ = jslink((f_priors_cb, 'value'), (prior_lines, 'visible'))\n", 147 | "_ = jslink((f_posteriors_cb, 'value'), (posterior_lines, 'visible'))\n", 148 | "_ = jslink((std_bands_cb, 'value'), (std_bands, 'visible'))\n", 149 | "\n", 150 | "def update_reg_line(change):\n", 151 | " global mu_post, sig_post\n", 152 | " \n", 153 | " fig.animation_duration = 0\n", 154 | " X_train = train_scat.x\n", 155 | " y_train = train_scat.y\n", 156 | " \n", 157 | " fig.animation_duration = 1000\n", 158 | "\n", 159 | " gp_res = gp_regression(X_train, y_train, X_test, sigma_noise=0.04)\n", 160 | " mu_post, cov_post = gp_res['posterior']\n", 161 | " \n", 162 | " # simulate N samples from the posterior distribution\n", 163 | " posterior_lines.y = np.random.multivariate_normal(mu_post, cov_post, N)\n", 164 | " sig_post = np.sqrt(np.diag(cov_post))\n", 165 | "\n", 166 | " # update the regression line to the mean of the posterior distribution\n", 167 | " mean_line.y = mu_post\n", 168 | " \n", 169 | " # update the std bands to +/- 2 sigmas from the posterior mean\n", 170 | " std_bands.y = [mu_post - 2 * sig_post, mu_post + 2 * sig_post]\n", 171 | "\n", 172 | "train_scat.observe(update_reg_line, names=['x', 'y'])\n", 173 | "\n", 174 | "def reset_points(*args):\n", 175 | " with train_scat.hold_trait_notifications():\n", 176 | " train_scat.x = []\n", 177 | " train_scat.y = []\n", 178 | "reset_button.on_click(lambda btn: reset_points())\n", 179 | "\n", 180 | "fig.on_displayed(update_reg_line)\n", 181 | "VBox([fig, VBox(check_boxes + [reset_button])])" 182 | ] 183 | } 184 | ], 185 | "metadata": { 186 | "kernelspec": { 187 | "display_name": "Python 3", 188 | "language": "python", 189 | "name": "python3" 190 | }, 191 | "language_info": { 192 | "codemirror_mode": { 193 | "name": "ipython", 194 | "version": 3 195 | }, 196 | "file_extension": ".py", 197 | "mimetype": "text/x-python", 198 | "name": "python", 199 | "nbconvert_exporter": "python", 200 | "pygments_lexer": "ipython3", 201 | "version": "3.7.3" 202 | } 203 | }, 204 | "nbformat": 4, 205 | "nbformat_minor": 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.select-wrapper input:focus{border-bottom:none}.datepicker-controls .select-wrapper .caret{display:none}.datepicker-controls .select-year input{width:50px}.datepicker-controls .select-month input{width:70px}.month-prev,.month-next{margin-top:4px;cursor:pointer;background-color:transparent;border:none}.datepicker-date-display{-webkit-box-flex:1;-webkit-flex:1 auto;-ms-flex:1 auto;flex:1 auto;background-color:#26a69a;color:#fff;padding:20px 22px;font-weight:500}.datepicker-date-display .year-text{display:block;font-size:1.5rem;line-height:25px;color:rgba(255,255,255,0.7)}.datepicker-date-display .date-text{display:block;font-size:2.8rem;line-height:47px;font-weight:500}.datepicker-calendar-container{-webkit-box-flex:2.5;-webkit-flex:2.5 auto;-ms-flex:2.5 auto;flex:2.5 auto}.datepicker-table{width:280px;font-size:1rem;margin:0 auto}.datepicker-table thead{border-bottom:none}.datepicker-table th{padding:10px 5px;text-align:center}.datepicker-table tr{border:none}.datepicker-table abbr{text-decoration:none;color:#999}.datepicker-table td{border-radius:50%;padding:0}.datepicker-table td.is-today{color:#26a69a}.datepicker-table td.is-selected{background-color:#26a69a;color:#fff}.datepicker-table td.is-outside-current-month,.datepicker-table td.is-disabled{color:rgba(0,0,0,0.3);pointer-events:none}.datepicker-day-button{background-color:transparent;border:none;line-height:38px;display:block;width:100%;border-radius:50%;padding:0 5px;cursor:pointer;color:inherit}.datepicker-day-button:focus{background-color:rgba(43,161,150,0.25)}.datepicker-footer{width:280px;margin:0 auto;padding-bottom:5px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between}.datepicker-cancel,.datepicker-clear,.datepicker-today,.datepicker-done{color:#26a69a;padding:0 1rem}.datepicker-clear{color:#F44336}@media only screen and (min-width: 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auto}.timepicker-plate{background-color:#eee;border-radius:50%;width:270px;height:270px;overflow:visible;position:relative;margin:auto;margin-top:25px;margin-bottom:5px;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.timepicker-canvas,.timepicker-dial{position:absolute;left:0;right:0;top:0;bottom:0}.timepicker-minutes{visibility:hidden}.timepicker-tick{border-radius:50%;color:rgba(0,0,0,0.87);line-height:40px;text-align:center;width:40px;height:40px;position:absolute;cursor:pointer;font-size:15px}.timepicker-tick.active,.timepicker-tick:hover{background-color:rgba(38,166,154,0.25)}.timepicker-dial{-webkit-transition:opacity 350ms, -webkit-transform 350ms;transition:opacity 350ms, -webkit-transform 350ms;transition:transform 350ms, opacity 350ms;transition:transform 350ms, opacity 350ms, -webkit-transform 350ms}.timepicker-dial-out{opacity:0}.timepicker-dial-out.timepicker-hours{-webkit-transform:scale(1.1, 1.1);transform:scale(1.1, 1.1)}.timepicker-dial-out.timepicker-minutes{-webkit-transform:scale(0.8, 0.8);transform:scale(0.8, 0.8)}.timepicker-canvas{-webkit-transition:opacity 175ms;transition:opacity 175ms}.timepicker-canvas line{stroke:#26a69a;stroke-width:4;stroke-linecap:round}.timepicker-canvas-out{opacity:0.25}.timepicker-canvas-bearing{stroke:none;fill:#26a69a}.timepicker-canvas-bg{stroke:none;fill:#26a69a}.timepicker-footer{margin:0 auto;padding:5px 1rem;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between}.timepicker-clear{color:#F44336}.timepicker-close{color:#26a69a}.timepicker-clear,.timepicker-close{padding:0 20px}@media only screen and (min-width: 601px){.timepicker-modal{max-width:600px}.timepicker-container.modal-content{-webkit-box-orient:horizontal;-webkit-box-direction:normal;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row}.timepicker-text-container{top:32%}.timepicker-display-am-pm{position:relative;right:auto;bottom:auto;text-align:center;margin-top:1.2rem}} 14 | --------------------------------------------------------------------------------