{
"cells": [
{
"cell_type": "markdown",
"id": "8acfdb94-5ff1-4813-ac8b-4e925beebb36",
"metadata": {},
"source": [
"# 2025-10-20 Noisy Data\n",
"\n",
"* Share individual projects, form groups\n",
"\n",
"* Noisy data\n",
"\n",
"* Bias-variance tradeoff"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "8bc3feaa-d25b-4071-835a-599404af6d8b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"vcond (generic function with 1 method)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using LinearAlgebra\n",
"using Plots\n",
"using Polynomials\n",
"default(lw=4, ms=5, legendfontsize=12, xtickfontsize=12, ytickfontsize=12)\n",
"\n",
"# Here's our Vandermonde matrix again\n",
"function vander(x, k=nothing)\n",
" if isnothing(k)\n",
" k = length(x)\n",
" end\n",
" m = length(x)\n",
" V = ones(m, k)\n",
" for j in 2:k\n",
" V[:, j] = V[:, j-1] .* x\n",
" end\n",
" V\n",
"end\n",
"\n",
"# With Chebyshev polynomials\n",
"function vander_chebyshev(x, n=nothing)\n",
" if isnothing(n)\n",
" n = length(x) # Square by default\n",
" end\n",
" m = length(x)\n",
" T = ones(m, n)\n",
" if n > 1\n",
" T[:, 2] = x\n",
" end\n",
" for k in 3:n\n",
" #T[:, k] = x .* T[:, k-1]\n",
" T[:, k] = 2 * x .* T[:,k-1] - T[:, k-2]\n",
" end\n",
" T\n",
"end\n",
"\n",
"# And for piecewise constant interpolation\n",
"function interp_nearest(x, s)\n",
" A = zeros(length(s), length(x))\n",
" for (i, t) in enumerate(s)\n",
" loc = nothing\n",
" dist = Inf\n",
" for (j, u) in enumerate(x)\n",
" if abs(t - u) < dist\n",
" loc = j\n",
" dist = abs(t - u)\n",
" end\n",
" end\n",
" A[i, loc] = 1\n",
" end\n",
" A\n",
"end\n",
"\n",
"# And our \"bad\" function\n",
"runge(x) = 1 / (1 + 10*x^2)\n",
"\n",
"# And a utility for points distributed via cos\n",
"CosRange(a, b, n) = (a + b)/2 .+ (b - a)/2 * cos.(LinRange(-pi, 0, n))\n",
"\n",
"# And a helper for looking at conditioning\n",
"vcond(mat, points, nmax) = [cond(mat(points(-1, 1, n))) for n in 2:nmax]"
]
},
{
"cell_type": "markdown",
"id": "1a6f5c08-2864-41d2-90d6-2a0283d6f3c5",
"metadata": {},
"source": [
"## Lower-degree polynomials to fit noise-free data\n",
"\n",
"We can fit $m$ data points using an $n < m$ dimensional space of functions.\n",
"This involves solving a least squares problem for the coefficients $\\min_c \\left\\lvert \\left\\lvert V_c - y \\right\\rvert \\right\\rvert$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "810f1a24-8ae0-44b1-8cfd-cf4f64b527a2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"cond(V) = 4.540300267483982\n"
]
},
{
"data": {
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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function chebyshev_regress_eval(x, xx, n)\n",
" V = vander_chebyshev(x, n)\n",
" @show cond(V)\n",
" vander_chebyshev(xx, n) / V\n",
"end\n",
"\n",
"# More data than points\n",
"ndata, nbasis = 50, 20\n",
"\n",
"# Create the problem and fit\n",
"x = LinRange(-1, 1, ndata)\n",
"xx = LinRange(-1, 1, 500)\n",
"C = chebyshev_regress_eval(x, xx, nbasis)\n",
"\n",
"# And plot\n",
"plot(xx, [runge.(xx), C * runge.(x)], label=[\"true\" \"fit\"])\n",
"scatter!(x, runge, label=\"data\")"
]
},
{
"cell_type": "markdown",
"id": "b64c32eb-4b9e-49c2-a5f9-84d4b39dc878",
"metadata": {},
"source": [
"Note that only 20 of the singular values are significant!"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2f6a4759-4433-4aa0-89da-08c041aca28b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"size(C) = (500, 50)\n"
]
},
{
"data": {
"image/png": 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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@show size(C)\n",
"S = svdvals(C)\n",
"scatter(S, yscale=:log10, label=\"singular values\")"
]
},
{
"cell_type": "markdown",
"id": "1c7e6977-bf72-4853-b587-365e95fb8fcd",
"metadata": {},
"source": [
"## Noisy data\n",
"\n",
"We can take advantage of this least-squares fitting to try to fit the underlying tendency of the data and not overfit to the noise."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7e728377-34c8-425d-a29e-35f1c71a9b96",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"cond(V) = 3.2551691693055997\n"
]
},
{
"data": {
"image/png": 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