{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# [NTDS'18] tutorial 1: introduction\n",
"[ntds'18]: https://github.com/mdeff/ntds_2018\n",
"\n",
"[Michaƫl Defferrard](http://deff.ch), *PhD student*, [EPFL LTS2](http://lts2.epfl.ch)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Content\n",
"\n",
"1. [Conda and Anaconda](#conda)\n",
"1. [Python](#python)\n",
"1. [Jupyter notebooks](#jupyter)\n",
"1. [Version control with git](#git)\n",
"1. [Scientific Python](#scipy)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 1 Conda and Anaconda\n",
"\n",
"![conda](figures/conda.jpg)\n",
"\n",
"[Conda](https://conda.io) is a package and environment manager. It allows you to create environments, ideally one per project, and install packages into them. It is available for Windows, macOS and Linux.\n",
"\n",
"[Anaconda](https://anaconda.org/download) is a commercial distribution that comes with many of the packages used by data scientists. [Miniconda](https://conda.io/miniconda.html) is a lighter open distribution. Both install `conda`, from which you'll be able to install many packages.\n",
"\n",
"[conda-forge](https://conda-forge.org) is a community-driven collection of recipes to build conda packages. It contains many more packages than the official defaults channel."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get basic information from your conda installation:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\r\n",
" active environment : ntds_2018\r\n",
" active env location : /home/michael/.conda/envs/ntds_2018\r\n",
" shell level : 1\r\n",
" user config file : /home/michael/.condarc\r\n",
" populated config files : /home/michael/.condarc\r\n",
" conda version : 4.5.11\r\n",
" conda-build version : not installed\r\n",
" python version : 3.7.0.final.0\r\n",
" base environment : /usr (read only)\r\n",
" channel URLs : https://conda.anaconda.org/conda-forge/linux-64\r\n",
" https://conda.anaconda.org/conda-forge/noarch\r\n",
" https://repo.anaconda.com/pkgs/main/linux-64\r\n",
" https://repo.anaconda.com/pkgs/main/noarch\r\n",
" https://repo.anaconda.com/pkgs/free/linux-64\r\n",
" https://repo.anaconda.com/pkgs/free/noarch\r\n",
" https://repo.anaconda.com/pkgs/r/linux-64\r\n",
" https://repo.anaconda.com/pkgs/r/noarch\r\n",
" https://repo.anaconda.com/pkgs/pro/linux-64\r\n",
" https://repo.anaconda.com/pkgs/pro/noarch\r\n",
" package cache : /home/michael/.conda/pkgs\r\n",
" envs directories : /home/michael/.conda/envs\r\n",
" /usr/envs\r\n",
" platform : linux-64\r\n",
" user-agent : conda/4.5.11 requests/2.19.1 CPython/3.7.0 Linux/4.18.8-arch1-1-ARCH arch/rolling glibc/2.28\r\n",
" UID:GID : 1000:1000\r\n",
" netrc file : None\r\n",
" offline mode : False\r\n",
"\r\n"
]
}
],
"source": [
"!conda info"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"List your environments:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# conda environments:\r\n",
"#\r\n",
"eeg_denoising /home/michael/.conda/envs/eeg_denoising\r\n",
"ntds_2018 * /home/michael/.conda/envs/ntds_2018\r\n",
"numpy_mkl /home/michael/.conda/envs/numpy_mkl\r\n",
"numpy_openblas /home/michael/.conda/envs/numpy_openblas\r\n",
"python2 /home/michael/.conda/envs/python2\r\n",
"scnn /home/michael/.conda/envs/scnn\r\n",
"test /home/michael/.conda/envs/test\r\n",
"base /usr\r\n",
"\r\n"
]
}
],
"source": [
"!conda env list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"List the packages in an environment:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# packages in environment at /home/michael/.conda/envs/ntds_2018:\r\n",
"#\r\n",
"# Name Version Build Channel\r\n",
"backcall 0.1.0 py_0 conda-forge\r\n",
"blas 1.1 openblas conda-forge\r\n",
"bleach 2.1.4 py_1 conda-forge\r\n",
"bzip2 1.0.6 h470a237_2 conda-forge\r\n",
"ca-certificates 2018.8.24 ha4d7672_0 conda-forge\r\n",
"certifi 2018.8.24 py37_1001 conda-forge\r\n",
"curl 7.61.0 h93b3f91_2 conda-forge\r\n",
"cycler 0.10.0 py_1 conda-forge\r\n",
"dbus 1.13.0 h3a4f0e9_0 conda-forge\r\n",
"decorator 4.3.0 py_0 conda-forge\r\n",
"entrypoints 0.2.3 py37_2 conda-forge\r\n",
"expat 2.2.5 hfc679d8_2 conda-forge\r\n",
"fontconfig 2.13.1 h65d0f4c_0 conda-forge\r\n",
"freetype 2.9.1 h6debe1e_4 conda-forge\r\n",
"gettext 0.19.8.1 h5e8e0c9_1 conda-forge\r\n",
"git 2.19.0 pl526hbb17d3c_0 conda-forge\r\n",
"glib 2.55.0 h464dc38_2 conda-forge\r\n",
"gmp 6.1.2 hfc679d8_0 conda-forge\r\n",
"gst-plugins-base 1.12.5 hde13a9d_0 conda-forge\r\n",
"gstreamer 1.12.5 h61a6719_0 conda-forge\r\n",
"html5lib 1.0.1 py_0 conda-forge\r\n",
"icu 58.2 hfc679d8_0 conda-forge\r\n",
"ipykernel 4.8.2 py37_0 conda-forge\r\n",
"ipython 6.5.0 py37_0 conda-forge\r\n",
"ipython_genutils 0.2.0 py_1 conda-forge\r\n",
"ipywidgets 7.4.2 py_0 conda-forge\r\n",
"jedi 0.12.1 py37_0 conda-forge\r\n",
"jinja2 2.10 py_1 conda-forge\r\n",
"jpeg 9c h470a237_1 conda-forge\r\n",
"jsonschema 2.6.0 py37_2 conda-forge\r\n",
"jupyter 1.0.0 py_1 conda-forge\r\n",
"jupyter_client 5.2.3 py_1 conda-forge\r\n",
"jupyter_console 5.2.0 py37_1 conda-forge\r\n",
"jupyter_core 4.4.0 py_0 conda-forge\r\n",
"jupyterlab 0.34.9 py37_0 \r\n",
"jupyterlab_launcher 0.13.1 py_2 conda-forge\r\n",
"kiwisolver 1.0.1 py37h2d50403_2 conda-forge\r\n",
"krb5 1.14.6 0 conda-forge\r\n",
"libffi 3.2.1 hfc679d8_5 conda-forge\r\n",
"libgcc-ng 7.2.0 hdf63c60_3 conda-forge\r\n",
"libgfortran 3.0.0 1 conda-forge\r\n",
"libiconv 1.15 h470a237_3 conda-forge\r\n",
"libpng 1.6.35 ha92aebf_2 conda-forge\r\n",
"libsodium 1.0.16 h470a237_1 conda-forge\r\n",
"libssh2 1.8.0 h5b517e9_2 conda-forge\r\n",
"libstdcxx-ng 7.2.0 hdf63c60_3 conda-forge\r\n",
"libuuid 2.32.1 h470a237_2 conda-forge\r\n",
"libxcb 1.13 h470a237_2 conda-forge\r\n",
"libxml2 2.9.8 h422b904_5 conda-forge\r\n",
"markupsafe 1.0 py37h470a237_1 conda-forge\r\n",
"matplotlib 3.0.0 py37h0b34cb6_1 conda-forge\r\n",
"mistune 0.8.3 py_0 conda-forge\r\n",
"nbconvert 5.3.1 py_1 conda-forge\r\n",
"nbformat 4.4.0 py_1 conda-forge\r\n",
"ncurses 6.1 hfc679d8_1 conda-forge\r\n",
"networkx 2.2 py_1 conda-forge\r\n",
"nomkl 3.0 0 \r\n",
"notebook 5.6.0 py37_1 conda-forge\r\n",
"numpy 1.15.1 py37_blas_openblashd3ea46f_1 [blas_openblas] conda-forge\r\n",
"openblas 0.2.20 8 conda-forge\r\n",
"openssl 1.0.2p h470a237_0 conda-forge\r\n",
"pandas 0.23.4 py37hf8a1672_0 conda-forge\r\n",
"pandoc 2.2.2 1 conda-forge\r\n",
"pandocfilters 1.4.2 py_1 conda-forge\r\n",
"parso 0.3.1 py_0 conda-forge\r\n",
"pcre 8.41 hfc679d8_3 conda-forge\r\n",
"perl 5.26.2 h470a237_0 conda-forge\r\n",
"pexpect 4.6.0 py37_0 conda-forge\r\n",
"pickleshare 0.7.4 py37_0 conda-forge\r\n",
"pip 18.0 py37_1 conda-forge\r\n",
"prometheus_client 0.3.1 py_1 conda-forge\r\n",
"prompt_toolkit 1.0.15 py_1 conda-forge\r\n",
"pthread-stubs 0.4 h470a237_1 conda-forge\r\n",
"ptyprocess 0.6.0 py37_0 conda-forge\r\n",
"pygments 2.2.0 py_1 conda-forge\r\n",
"pygsp 0.5.1 py_0 conda-forge\r\n",
"pyparsing 2.2.1 py_0 conda-forge\r\n",
"pyqt 5.6.0 py37h8210e8a_7 conda-forge\r\n",
"python 3.7.0 h5001a0f_2 conda-forge\r\n",
"python-dateutil 2.7.3 py_0 conda-forge\r\n",
"pytz 2018.5 py_0 conda-forge\r\n",
"pyzmq 17.1.2 py37hae99301_0 conda-forge\r\n",
"qt 5.6.2 hf70d934_9 conda-forge\r\n",
"qtconsole 4.4.1 py37_1 conda-forge\r\n",
"readline 7.0 haf1bffa_1 conda-forge\r\n",
"scipy 1.1.0 py37_blas_openblash7943236_201 [blas_openblas] conda-forge\r\n",
"send2trash 1.5.0 py_0 conda-forge\r\n",
"setuptools 40.4.0 py37_1000 conda-forge\r\n",
"simplegeneric 0.8.1 py_1 conda-forge\r\n",
"sip 4.18.1 py37hfc679d8_0 conda-forge\r\n",
"six 1.11.0 py37_1 conda-forge\r\n",
"sqlite 3.25.1 hb1c47c0_0 conda-forge\r\n",
"terminado 0.8.1 py37_1 conda-forge\r\n",
"testpath 0.3.1 py37_1 conda-forge\r\n",
"tk 8.6.8 ha92aebf_0 conda-forge\r\n",
"tornado 5.1 py37h470a237_1 conda-forge\r\n",
"traitlets 4.3.2 py37_0 conda-forge\r\n",
"wcwidth 0.1.7 py_1 conda-forge\r\n",
"webencodings 0.5.1 py_1 conda-forge\r\n",
"wheel 0.31.1 py37_1001 conda-forge\r\n",
"widgetsnbextension 3.4.1 py37_0 conda-forge\r\n",
"xorg-libxau 1.0.8 h470a237_6 conda-forge\r\n",
"xorg-libxdmcp 1.1.2 h470a237_7 conda-forge\r\n",
"xz 5.2.4 h470a237_1 conda-forge\r\n",
"zeromq 4.2.5 hfc679d8_5 conda-forge\r\n",
"zlib 1.2.11 h470a237_3 conda-forge\r\n"
]
}
],
"source": [
"!conda list -n ntds_2018"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Install packages in an environment. The package will be installed in the activated environment if an environment name is not given."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solving environment: - \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\bdone\r\n",
"\r\n",
"# All requested packages already installed.\r\n",
"\r\n"
]
}
],
"source": [
"!conda install -n ntds_2018 git"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Want to know more?** Look at the [conda user guide](https://conda.io/docs/user-guide/overview.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 2 Python\n",
"\n",
"[Python](https://python.org) is one of the main programming languages used by data scientists, along [R](https://www.r-project.org) and [Julia](https://julialang.org). As an open and general purpose language, it is replacing [MATLAB](https://mathworks.com/products/matlab.html) in many scientific and engineering fields. Python is the default language used for machine learning.\n",
"\n",
"Below are very basic examples of Python code. **Want to learn more?** Look at the [Python Tutorial](https://docs.python.org/3/tutorial/index.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Control flow"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"hello\n"
]
}
],
"source": [
"if 1 == 1:\n",
" print('hello')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"1\n",
"2\n",
"3\n",
"4\n"
]
}
],
"source": [
"for i in range(5):\n",
" print(i)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n",
"3\n"
]
}
],
"source": [
"a = 4\n",
"while a > 2:\n",
" print(a)\n",
" a -= 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data structures"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lists are mutable, i.e. we can change the objects they store."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1, 2, 'hello', 3.2]\n",
"[1, 2, 'world', 3.2]\n"
]
}
],
"source": [
"a = [1, 2, 'hello', 3.2]\n",
"print(a)\n",
"a[2] = 'world'\n",
"print(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tuples are not mutable."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, 2, 'hello')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(1, 2, 'hello')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sets contain unique values."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1, 2, 3, 4}\n",
"{2, 4}\n"
]
}
],
"source": [
"a = {1, 2, 3, 3, 4}\n",
"print(a)\n",
"print(a.intersection({2, 4, 6}))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dictionaries map keys to values."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = {'one': 1, 'two': 2, 'three': 3}\n",
"a['two']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Functions"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def add(a, b):\n",
" return a + b\n",
"\n",
"add(1, 4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Classes"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"30"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class A:\n",
" d = 10\n",
" \n",
" def add(self, c):\n",
" return self.d + c\n",
"\n",
"a = A()\n",
"a.add(20)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"30\n",
"-10\n"
]
}
],
"source": [
"class B(A):\n",
" def sub(self, c):\n",
" return self.d - c\n",
"\n",
"b = B()\n",
"print(b.add(20))\n",
"print(b.sub(20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Dynamic typing"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'abc'"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = 1\n",
"x = 'abc'\n",
"x"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'hello'"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"add('hel', 'lo')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[1, 2, 3, 4, 5]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"add([1, 2], [3, 4, 5])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"130\n",
"120 items\n"
]
}
],
"source": [
"print(int('120') + 10)\n",
"print(str(120) + ' items')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 3 Jupyter notebooks\n",
"\n",
"[Jupyter](https://jupyter.org) notebooks allow to mix text, math, code, and results (numerical or figures) in a **single document**. It is intended for interactive computing and is very useful to explore data, teach concepts, create reports. Code can be written in many programming languages, including Python, Julia, R, MATLAB, C++."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Markdown text (and Latex math)\n",
"\n",
"A list:\n",
"\n",
"* item\n",
"* item\n",
"\n",
"Text in a paragraph. Text can be *italic*, **bold**, `verbatim`. We can define [hyperlinks](https://github.com/mdeff/ntds_2018).\n",
"\n",
"A numbered list:\n",
"\n",
"1. item\n",
"1. item\n",
"\n",
"Some inline math: $x = \\frac12$\n",
"\n",
"Some display math:\n",
"$$ f(x) = \\frac{e^{-x}}{4} $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code and results"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.0"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"20 / 100 * 30"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Inline figures"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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