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@saschatimme
Created June 26, 2019 13:32
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Euclidean Distance Degree"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A real algebraic variety is the common zero set of polynomials $f_1, \\ldots, f_m \\in \\mathbb{R}[x_1,\\ldots,x_n]$ denoted by $V(f_1,\\ldots,f_m)$.\n",
"\n",
"Consider the distance from a point $u \\in \\mathbb{R}^n$ to the variety $X=V(f_1,\\ldots,f_m)$. What is the nearest point on $X$ to $u$ with respect to the eucdlidean distance? How many critical points are there? If we count the number of critical points over the complex numbers, then this the number will almost always be the same. It is called the *Euclidean distance degree* of $X$. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<figure>\n",
"<img src=\"images/ed.png\" alt=\"ED\" style=\"width: 500px;\"/>\n",
"<figcaption style=\"color:DIMGRAY\">The real critical points of the euclidean distance function for the point $u= [-0.32, -0.1]$\n",
" and $X=V((x^4 + y^4 - 1)(x^2 + y^2 - 2) + x^5y)$</figcaption>\n",
"</figure>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" In the following we want so show **you** can solve this problem on your own using techniques from numerical algebraic geometry."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a given $u \\in \\mathbb{R}^n$ and $X=V(f_1,\\ldots, f_m)$ we want to solve the problem:\n",
"\n",
"$$\\min =||x-u||_2=:d_u(x) \\quad \\text{subject to} \\quad x \\in X$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Considering the geometry of the problem you can see that a point $x^*$ is a critical point of $d_u$ if and only if\n",
"$x^* - u$ is orthogonal to the tangent space of $X$ at $x^*$, or formally\n",
" \\begin{equation}(x^* - u) \\perp T_{(x^*)}X \\,.\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercise**: Write down definining equations for our problem."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<details>\n",
" <summary>A solution</summary>\n",
" Assume X=$V(f_1,\\ldots, f_m)$ and $\\dim(X)=n-m$. Let $J(x)$ the Jacobian of $f=(f_1,\\ldots, f_m)$ where the $i$-th row consists of the partial derivatives of $f_i$.\n",
" Then, critical points satisfy the equations\n",
" $$x-u =J(x)^T \\lambda$$\n",
" $$f(x) = 0$$\n",
" $$\\lambda \\in \\mathbb{R}^m$$\n",
" </details>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have the defining equations for our problem let's solve it using [HomotopyContinuation.jl](https://www.juliahomotopycontinuation.org)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# load HomotopyContinuation.jl\n",
"using HomotopyContinuation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To make our life easier we are already provided with some helper functions by the `TAGSS` package."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# load the TAGSS helper package\n",
"using TAGSS"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start by definining a variety. Let's take the variety from the beginning:\n",
"$$V((x^4 + y^4 - 1)(x^2 + y^2 - 2) + x^5y)$$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(x, y)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# We can define variables like this\n",
"@polyvar x y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's set $f$ to the polynomial $(x^4 + y^4 - 1)(x^2 + y^2 - 2) + x^5y$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$ x^{6} + x^{5}y + x^{4}y^{2} + x^{2}y^{4} + y^{6} - 2x^{4} - 2y^{4} - x^{2} - y^{2} + 2 $$"
],
"text/plain": [
"x⁶ + x⁵y + x⁴y² + x²y⁴ + y⁶ - 2x⁴ - 2y⁴ - x² - y² + 2"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f = (x^4 + y^4 - 1)*(x^2 + y^2 - 2) + x^5*y # this will get deleted for the students"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize $V(f)$ to see whether we got it right. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"Scene (500px, 500px):\n",
"events:\n",
" window_area: GeometryTypes.HyperRectangle{2,Int64}([0, 0], [0, 0])\n",
" window_dpi: 100.0\n",
" window_open: false\n",
" mousebuttons: Set(AbstractPlotting.Mouse.Button[])\n",
" mouseposition: (0.0, 0.0)\n",
" mousedrag: notpressed\n",
" scroll: (0.0, 0.0)\n",
" keyboardbuttons: Set(AbstractPlotting.Keyboard.Button[])\n",
" unicode_input: Char[]\n",
" dropped_files: String[]\n",
" hasfocus: false\n",
" entered_window: false\n",
"plots:\n",
" *Axis2D{...}\n",
" *Lines{...}\n",
" *Lines{...}\n",
"subscenes:\n",
" *scene(500px, 500px)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"visualize(f, show_axis=true, scene_resolution=(500,500), x_min=-2, x_max=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we need to define the critical equations:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Array{DynamicPolynomials.Polynomial{true,Int64},1}:\n",
" -6x⁵λ₁ - 5x⁴yλ₁ - 4x³y²λ₁ - 2xy⁴λ₁ + 8x³λ₁ + 2xλ₁ + x - u₁\n",
" -x⁵λ₁ - 2x⁴yλ₁ - 4x²y³λ₁ - 6y⁵λ₁ + 8y³λ₁ + 2yλ₁ + y - u₂ \n",
" x⁶ + x⁵y + x⁴y² + x²y⁴ + y⁶ - 2x⁴ - 2y⁴ - x² - y² + 2 "
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# we define new variables u₁, u₂ and λ₁\n",
"@polyvar u[1:2] λ[1:1]\n",
"# define the jacobian of F\n",
"J = [differentiate(fᵢ, v) for fᵢ in [f], v in [x,y]]\n",
"# J' defines the transpose of J\n",
"F = [[x,y] - u - J'*λ; f]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The TAGSS package can also generate equations for you with\n",
"```julia\n",
"F, u = eq_equations(f)\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have our equations let's define the point $u_0=[-0.32, -0.1]$"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Array{Float64,1}:\n",
" -0.32\n",
" -0.1 "
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u₀ = [-0.32, -0.1] # this will get deleted for the students"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our equation $F$ is still parameterized by $u$. So we have to make the substitution $u \\Rightarrow u_0$."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Array{DynamicPolynomials.Polynomial{true,Float64},1}:\n",
" -6.0x⁵λ₁ - 5.0x⁴yλ₁ - 4.0x³y²λ₁ - 2.0xy⁴λ₁ + 8.0x³λ₁ + 2.0xλ₁ + x + 0.32\n",
" -x⁵λ₁ - 2.0x⁴yλ₁ - 4.0x²y³λ₁ - 6.0y⁵λ₁ + 8.0y³λ₁ + 2.0yλ₁ + y + 0.1 \n",
" x⁶ + x⁵y + x⁴y² + x²y⁴ + y⁶ - 2.0x⁴ - 2.0y⁴ - x² - y² + 2.0 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"F_u₀ = [subs(f, u => u₀) for f in F]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$F_{u_0}$ is now a polynomial system of 3 equations in 3 unknowns. Homotopy continuation methods allow us to compute *all* solutions of this polynomial system. These methods first compute all solution over the *complex numbers*. Here we use the `solve` routine from HomotopyContinuation.jl as a black-box. You can find more background information on this method in the [How does it work?](https://www.juliahomotopycontinuation.org/guides/how-does-it-work/) guide on the [HomotopyContinuation.jl homepage](https://www.juliahomotopycontinuation.org)."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Result with 36 solutions\n",
"==================================\n",
"• 36 non-singular solutions (8 real)\n",
"• 0 singular solutions (0 real)\n",
"• 216 paths tracked\n",
"• random seed: 488318\n"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"res = solve(F_u₀; show_progress=false)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We find that our problem has **36** solutions over the complex numbers (which is also the generic number of solutions).\n",
"Thus the *Euclidean distance degree* is 36.\n",
"Furthermore we can see that there are **8** real solutions.\n",
"\n",
"Now let's extract the real points."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"8-element Array{Array{Float64,1},1}:\n",
" [1.63906, -0.958966] \n",
" [0.926711, -0.362357] \n",
" [-0.988532, 0.0487366]\n",
" [0.798736, -0.739109] \n",
" [-1.57227, 1.0613] \n",
" [0.577412, 1.27259] \n",
" [-0.337537, -0.997977]\n",
" [-0.666196, 1.28245] "
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's get all real solutions\n",
"real_sols = real_solutions(res)\n",
"# We have to remove our artifical variable λ₁\n",
"ed_points = map(p -> p[1:2], real_sols)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's visualize our solutions:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"Scene (600px, 600px):\n",
"events:\n",
" window_area: GeometryTypes.HyperRectangle{2,Int64}([0, 0], [0, 0])\n",
" window_dpi: 100.0\n",
" window_open: false\n",
" mousebuttons: Set(AbstractPlotting.Mouse.Button[])\n",
" mouseposition: (0.0, 0.0)\n",
" mousedrag: notpressed\n",
" scroll: (0.0, 0.0)\n",
" keyboardbuttons: Set(AbstractPlotting.Keyboard.Button[])\n",
" unicode_input: Char[]\n",
" dropped_files: String[]\n",
" hasfocus: false\n",
" entered_window: false\n",
"plots:\n",
" *Axis2D{...}\n",
" *Lines{...}\n",
" *Lines{...}\n",
" *LineSegments{...}\n",
" *LineSegments{...}\n",
" *Scatter{...}\n",
" *Scatter{...}\n",
"subscenes:\n",
" *scene(600px, 600px)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"visualize_ed(f, u₀, ed_points; show_axis=true, scene_resolution=(600,600))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Great! This looks like our picture from the beginning."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Surfaces in $\\mathbb{R}^3$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The TAGSS package also provides us with the possibility to visualize surfaces in $\\mathbb{R}^3$."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$ 0.120625x^{4} + 0.24499999999999997x^{3}y + 1.4549999999999998x^{2}y^{2} + 0.42x^{2}z^{2} + 0.9799999999999999xy^{3} + 1.68xyz^{2} + 1.93y^{4} + 1.68y^{2}z^{2} + 1.44z^{4} - 0.18x^{3} + 0.35x^{2}y + 0.3x^{2}z + 0.6799999999999999xy^{2} + 1.4y^{3} + 1.2y^{2}z + 2.4yz^{2} - 0.92x^{2} - 1.4xy - 0.3xz - 3.04y^{2} - 2.15z^{2} + 0.66x - 2.0y - 1.1z + 1.91 $$"
],
"text/plain": [
"0.120625x⁴ + 0.24499999999999997x³y + 1.4549999999999998x²y² + 0.42x²z² + 0.9799999999999999xy³ + 1.68xyz² + 1.93y⁴ + 1.68y²z² + 1.44z⁴ - 0.18x³ + 0.35x²y + 0.3x²z + 0.6799999999999999xy² + 1.4y³ + 1.2y²z + 2.4yz² - 0.92x² - 1.4xy - 0.3xz - 3.04y² - 2.15z² + 0.66x - 2.0y - 1.1z + 1.91"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@polyvar x y z\n",
"#g=(x-0.75)^4-2x^2+(z+0.4)^4-3z^2+4y^2-1\n",
"g = (0.3*x^2+0.5z-0.3x+1.2*y^2-1.1)^2+(0.7*(y+0.5x)^2+y+1.2*z^2-1)^2-0.3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize the surface:"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Scene (600px, 600px):\n",
"events:\n",
" window_area: GeometryTypes.HyperRectangle{2,Int64}([0, 0], [0, 0])\n",
" window_dpi: 100.0\n",
" window_open: false\n",
" mousebuttons: Set(AbstractPlotting.Mouse.Button[])\n",
" mouseposition: (0.0, 0.0)\n",
" mousedrag: notpressed\n",
" scroll: (0.0, 0.0)\n",
" keyboardbuttons: Set(AbstractPlotting.Keyboard.Button[])\n",
" unicode_input: Char[]\n",
" dropped_files: String[]\n",
" hasfocus: false\n",
" entered_window: false\n",
"plots:\n",
" *Axis3D{...}\n",
" *Wireframe{...}\n",
"subscenes:"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"visualize(g; wireframe=true, scene_resolution=(600,600)) #you can also set wireframe=false to see a colored version of the surface"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's pick a point in $\\mathbb{R}^3$"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Array{Float64,1}:\n",
" 0.5\n",
" 2.5\n",
" -1.2"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u₀ = [0.5, 2.5, -1.2]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now `TAGSS` also provides the black box routine `ed` to compute all real critical points. So let us be a little bit lazy and just use this function."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12-element Array{Array{Float64,1},1}:\n",
" [-1.39548, -0.839435, -0.401547]\n",
" [-1.44792, 0.417695, 0.0215216] \n",
" [1.87015, 0.248554, 0.0895588] \n",
" [1.29747, -0.8518, 1.28165] \n",
" [0.0318194, -1.33835, -0.994731]\n",
" [2.86772, -0.211392, -0.0726226]\n",
" [2.47834, -0.997498, -1.30827] \n",
" [0.502493, -0.302239, 1.03564] \n",
" [-0.201401, 0.930615, -0.310702]\n",
" [-1.57298, -0.201582, 0.128285] \n",
" [1.5112, -0.883797, -1.21727] \n",
" [-1.48899, -0.507412, 0.123416] "
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ed_pts = ed(g, u₀)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And let's visualize them:"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Scene (800px, 800px):\n",
"events:\n",
" window_area: GeometryTypes.HyperRectangle{2,Int64}([0, 0], [0, 0])\n",
" window_dpi: 100.0\n",
" window_open: false\n",
" mousebuttons: Set(AbstractPlotting.Mouse.Button[])\n",
" mouseposition: (0.0, 0.0)\n",
" mousedrag: notpressed\n",
" scroll: (0.0, 0.0)\n",
" keyboardbuttons: Set(AbstractPlotting.Keyboard.Button[])\n",
" unicode_input: Char[]\n",
" dropped_files: String[]\n",
" hasfocus: false\n",
" entered_window: false\n",
"plots:\n",
" *Wireframe{...}\n",
" *LineSegments{...}\n",
" *LineSegments{...}\n",
" *Scatter{...}\n",
" *Scatter{...}\n",
"subscenes:"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"visualize_ed(g, u₀, ed_pts; show_axis=false, scene_resolution=(800,800))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You should also be able to get a rotating 3D picture from"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"display(visualize_ed(g, u₀, ed_pts; show_axis=false, scene_resolution=(800,800)));"
]
}
],
"metadata": {
"@webio": {
"lastCommId": null,
"lastKernelId": null
},
"kernelspec": {
"display_name": "Julia 1.1.0",
"language": "julia",
"name": "julia-1.1"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.1.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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