{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ANOVA Decomposition"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The [*analysis of variances (ANOVA) decomposition*](http://www.broda.co.uk/gsa/sobol_global_sa.pdf) is well-defined for any square-integrable multidimensional function $f: \\mathbb{R}^N \\to \\mathbb{R}$. If the input variables $\\{x_0, \\dots, x_{N-1}\\}$ are independently distributed random variables, the ANOVA decomposition partitions the total variance of the model, $\\mathrm{Var}[f]$, as a sum of variances of orthogonal functions $\\mathrm{Var}[f_{\\alpha}]$ for all possible subsets $\\alpha$ of the input variables. Each $f_{\\alpha}$ depends effectively on the variables contained in $\\alpha$ only, and is constant with respect to the rest."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import torch\n",
"torch.set_default_dtype(torch.float64)\n",
"import tntorch as tn\n",
"\n",
"N = 4\n",
"t = tn.rand([32]*N, ranks_tt=5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's compute all ANOVA terms in one single tensor network:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4D TT-Tucker tensor:\n",
"\n",
" 33 33 33 33\n",
" | | | |\n",
" 32 32 32 32\n",
" (0) (1) (2) (3)\n",
" / \\ / \\ / \\ / \\\n",
"1 5 5 5 1"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"anova = tn.anova_decomposition(t)\n",
"anova"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This tensor `anova` indexes *all* $2^N$ functions $f_{\\alpha}$ of the ANOVA decomposition of $f$, and we can access it using our [tensor masks](https://github.com/rballester/tntorch/blob/master/tutorials/logic.ipynb).\n",
"\n",
"Reference: [*\"Sobol Tensor Trains for Global Sensitivity Analysis\"*](https://arxiv.org/abs/1712.00233), R. Ballester-Ripoll, E. G. Paredes, R. Pajarola (2017).\n",
"\n",
"### Manipulating the Decomposition\n",
"\n",
"For example, let's keep all terms that *do not* interact with $w$:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"x, y, z, w = tn.symbols(N)\n",
"anova_cut = tn.mask(anova, ~w)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can undo the decomposition to obtain a regular tensor again:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"t_cut = tn.undo_anova_decomposition(anova_cut)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As expected, our truncated tensor `t_cut` has become constant with respect to the fourth variable $w$:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839,\n",
" 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839,\n",
" 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839, 5.4839,\n",
" 5.4839, 5.4839, 5.4839, 5.4839, 5.4839])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t_cut[0, 0, 0, :].torch()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How much did we lose by making that variable unimportant?"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The truncated tensor accounts for 63.2737% of the original variance.\n"
]
}
],
"source": [
"print('The truncated tensor accounts for {:g}% of the original variance.'.format(tn.var(t_cut) / tn.var(t) * 100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"... which is also what [Sobol's method](sobol.ipynb) gives us:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(63.2737)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tn.sobol(t, ~w) * 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"or, equivalently,"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(63.2737)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tn.sobol(t, tn.only(x | y | z)) * 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the empty subfunction $f_{\\emptyset}$ is constant, and its value everywhere coincides with the original function's mean:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(1.1112e-13)\n",
"tensor(7.7206) tensor(7.7206)\n"
]
}
],
"source": [
"empty = tn.undo_anova_decomposition(tn.mask(anova, tn.none(N)))\n",
"print(tn.var(empty)) # It's a constant function\n",
"print(empty[0, 0, 0, 0], tn.mean(t)) # Coincides with the global mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Also note that summing all ANOVA subfunctions results in the original function:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(0.)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"all_summed = tn.undo_anova_decomposition(tn.mask(anova, tn.true(N)))\n",
"tn.relative_error(t, all_summed)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Truncating Dimensionality\n",
"\n",
"The low-dimensional terms of the ANOVA decomposition (i.e. terms that depend on a few variables only) are usually the ones that play the most important role in many analytical and real-world models.\n",
"\n",
"We will now approximate our original function as a sum of (at most) bivariate functions. To that end we will use a [weight mask tensor](logic.ipynb) and the function `truncate_anova()`."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We will keep only 11 of the original ANOVA terms\n",
"Relative error after truncation: 0.03069220493420805\n"
]
}
],
"source": [
"m = tn.weight_mask(N, [0, 1, 2]) # Keep tuples with zero, one or two '1's\n",
"print('We will keep only {:g} of the original ANOVA terms'.format(tn.sum(m)))\n",
"t_truncated = tn.truncate_anova(t, m, keepdim=True)\n",
"print('Relative error after truncation: {}'.format(tn.relative_error(t, t_truncated)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing the ANOVA Decomposition\n",
"\n",
"Let's now restrict ourselves to $N = 2$ so that we can easily plot the ANOVA subfunctions and get an idea how they look like."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2D TT-Tucker tensor:\n",
"\n",
" 64 64\n",
" | |\n",
" 3 3\n",
" (0) (1)\n",
" / \\ / \\\n",
"1 4 1"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# We set up a smooth 2D tensor, sum of a few cosine wavefunctions\n",
"N = 2\n",
"t = tn.randn([64]*N, ranks_tt=4, ranks_tucker=3)\n",
"t.set_factors('dct')\n",
"t"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The full function looks like this:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import numpy as np\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"X, Y = np.meshgrid(np.arange(t.shape[0]), np.arange(t.shape[1]), indexing='ij')\n",
"surf = ax.plot_surface(X, Y, t.numpy())\n",
"plt.title('Original function $f$')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we will show the $2^N = 4$ ANOVA subfunctions:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x, y = tn.symbols(N)\n",
"zlim = [t.numpy().min(), t.numpy().max()]\n",
"\n",
"fig = plt.figure(figsize=(8, 8))\n",
"\n",
"ax = fig.add_subplot(2, 2, 1, projection='3d')\n",
"ax.plot_surface(X, Y, tn.truncate_anova(t, tn.none(N), keepdim=True).numpy()) # Equivalent to ~x & ~y\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"ax.set_zlim3d(zlim[0], zlim[1])\n",
"ax.set_title('$f_{\\O}$')\n",
"\n",
"ax = fig.add_subplot(2, 2, 2, projection='3d')\n",
"ax.plot_surface(X, Y, tn.truncate_anova(t, tn.only(x), keepdim=True).numpy())\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"ax.set_zlim3d(zlim[0], zlim[1])\n",
"ax.set_title('$f_x$')\n",
"\n",
"ax = fig.add_subplot(2, 2, 3, projection='3d')\n",
"ax.plot_surface(X, Y, tn.truncate_anova(t, tn.only(y), keepdim=True).numpy())\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"ax.set_zlim3d(zlim[0], zlim[1])\n",
"ax.set_title('$f_y$')\n",
"\n",
"ax = fig.add_subplot(2, 2, 4, projection='3d')\n",
"ax.plot_surface(X, Y, tn.truncate_anova(t, tn.only(x & y), keepdim=True).numpy())\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"ax.set_zlim3d(zlim[0], zlim[1])\n",
"ax.set_title('$f_{xy}$')\n",
"\n",
"plt.show()"
]
}
],
"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": "3.6.10"
}
},
"nbformat": 4,
"nbformat_minor": 4
}