{ "cells": [ { "cell_type": "markdown", "id": "22bbea85-88de-44d1-816b-a6556820a3e9", "metadata": {}, "source": [ "# 2025-09-15 Stability\n", "\n", "* Forward and backward stability\n", "\n", "* Beyon IEEE double precision\n", "\n", "See [FNC](https://tobydriscoll.net/fnc-julia/intro/stability.html#backward-error)" ] }, { "cell_type": "markdown", "id": "d7308ac2-799e-4826-afab-6cf8805dc6af", "metadata": {}, "source": [ "## Wilkinson's polynomial\n", "\n", "$$ w \\left( x \\right) = \\prod_{k = 1}^{20} \\left( x - k \\right) = \\left( x - 1 \\right) \\left( x - 2 \\right) \\cdots \\left( x - 20 \\right) = \\sum_{k = 0}^{20} b_k x^k $$" ] }, { "cell_type": "code", "execution_count": 3, "id": "27b55cb2-60fb-4361-b581-c7891d85af71", "metadata": {}, "outputs": [ { "data": { "image/png": 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"code", "execution_count": 5, "id": "096c26bb-f743-4fcd-9fd3-0b8e45b630fd", "metadata": {}, "outputs": [ { "data": { "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We'll plot the true roots\n", "w = fromroots(a)\n", "scatter(a, zero(a), color=:red)\n", "\n", "# Let's add little random perturbations and find the roots\n", "for i in 1:100\n", " r = randn(length(w))\n", " q = copy(w) # instead adding noise to every root\n", " q[:] .*= 1 .+ 1e-10 * r\n", " xs = roots(q)\n", " scatter!(real(xs), imag(xs), markersize=1)\n", "end\n", "plot!(legend=:none)" ] }, { "attachments": { 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" } }, "cell_type": "markdown", "id": "961e3c60-1e9e-4803-ae6b-0c41ff15c607", "metadata": {}, "source": [ "### Figure from Trefethen and Bau (1999)\n", "\n", "![image.png](attachment:62dae13e-b07f-4505-bd53-3ce5decf421e.png)" ] }, { "cell_type": "markdown", "id": "a42727ad-b7ef-41bc-8159-344cab8eadea", "metadata": {}, "source": [ "## So which is better for modeling inputs to a rootfinder?\n", "\n", "A) coefficients $a_k$ in\n", "\n", "$$ p \\left( x \\right) = \\prod_k \\left( x - a_k \\right) $$\n", "\n", "B) coefficients $b_k$ in\n", "\n", "$$ p \\left( x \\right) = \\sum_k b_k x^k $$" ] }, { "attachments": { "b5549bb4-121c-4651-98da-26581cf4d4f9.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "52212697-f8f7-4eb7-9741-251a24e895e1", "metadata": {}, "source": [ "## Back to forward/backward error and stability\n", "\n", "See [FNC](https://tobydriscoll.net/fnc-julia/intro/stability.html#backward-error)\n", "\n", "![image2.png](attachment:b5549bb4-121c-4651-98da-26581cf4d4f9.png)" ] }, { "cell_type": "markdown", "id": "ebf7612c-19f1-42f1-8510-c678efdd31b9", "metadata": {}, "source": [ "### Stability\n", "\n", "**\"nearly the right answer to nearly the right question\"**\n", "\n", "$$ \\frac{\\left\\lvert \\tilde{f} \\left( x \\right) - f \\left( \\tilde{x} \\right) \\right\\rvert}{\\left\\lvert f \\left( \\tilde{x} \\right) \\right\\rvert} \\in \\mathcal{O} \\left( \\epsilon_\\text{machine} \\right) $$\n", "\n", "for some $\\tilde{x}$ that is close to $x$." ] }, { "cell_type": "markdown", "id": "c9c42297-e8f4-4e15-81d1-79aed111ed23", "metadata": {}, "source": [ "### Backward stability\n", "\n", "**\"exactly the right answer to nearly the right question\"**\n", "\n", "$$ \\tilde{f} \\left( x \\right) = f \\left( \\tilde{x} \\right) $$\n", "\n", "for some $\\tilde{x}$ that is close to $x$.\n", "\n", "* Every backward stable algorithm is stable\n", "\n", "* Not every stable algorithm is backward stable" ] }, { "cell_type": "markdown", "id": "399fa16d-7e56-49bd-8761-4a00c2d21942", "metadata": {}, "source": [ "## Map angle to the unit circle" ] }, { "cell_type": "code", "execution_count": 7, "id": "09dac625-bcc4-4d4f-8058-49083775714b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"text": [ "GKS: Possible loss of precision in routine SET_WINDOW\n" ] } ], "source": [ "# The points on the unit circle *should* make a smooth curve\n", "theta = 1 .+ LinRange(0, 3e-15, 100)\n", "scatter(cos.(theta), sin.(theta), legend=:none, aspect_ratio=:equal)" ] }, { "cell_type": "code", "execution_count": 10, "id": "dfa17f2a-0cb9-483d-9c33-85ab16348638", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"execute_result" } ], "source": [ "# Let's shift the range of the inputs for sin\n", "theta = LinRange(1., 1+2e-5, 100)\n", "mysin(t) = cos(t - (1e10+1)*pi/2)\n", "\n", "plot(cos.(theta), sin.(theta), aspect_ratio=:equal, label=\"1-1.00005\")\n", "scatter!(cos.(theta), mysin.(theta), label=\"shifted 10^10\")" ] }, { "cell_type": "markdown", "id": "4f5ed28f-7be5-46e0-bc29-c68500655617", "metadata": {}, "source": [ "Is this\n", "\n", "a) stability\n", "\n", "b) backward stability\n", "\n", "c) neither\n", "\n", "* The numbers $\\left( \\tilde{\\cos} \\left( \\theta \\right), \\tilde{\\sin} \\left( \\theta \\right) \\right) = \\left( fl \\left( \\cos \\left( \\theta \\right) \\right), fl \\left( \\sin \\left( \\theta \\right) \\right) \\right)$ do not lie exactly on the unit circles\n", "\n", "* There does not exist a $\\tilde{\\theta}$ such that $\\left( \\tilde{\\cos} \\left( \\theta \\right), \\tilde{\\sin} \\left( \\theta \\right) \\right) = \\left( \\cos \\left( \\tilde{\\theta} \\right), \\sin \\left( \\tilde{\\theta} \\right) \\right)$" ] }, { "cell_type": "markdown", "id": "b8dfc221-b1cb-4e0b-bff1-ca644d20e134", "metadata": {}, "source": [ "## Theorem - accuracy of backward stable algorithms\n", "\n", "A backward stable algorithm for computing $f \\left( x \\right)$ has relative accuracy\n", "\n", "$$ \\frac{\\left\\lvert \\tilde{f} \\left( x \\right) - f \\left( \\tilde{x} \\right) \\right\\rvert}{\\left\\lvert f \\left( \\tilde{x} \\right) \\right\\rvert} \\lesssim \\kappa \\left( f \\right) \\epsilon_\\text{machine} $$\n", "\n", "Backward stability is generally the best we can hope for.\n", "\n", "
\n", "\n", "In practice, it is rarely possible for a function to be backward stable when the output space is higher dimensional than the input space." ] }, { "cell_type": "markdown", "id": "07b41eec-d86b-40b2-a58d-8564f0447a8d", "metadata": {}, "source": [ "## Beyond IEEE-754 double precision\n", "\n", "Double precision floating point numbers are common, but they are not our only option.\n", "\n", "### Lower precision IEEE-754 values\n", "\n", "| Type | $\\epsilon_\\text{machine}$ | exponent bits | mantissa bits |\n", "| ------ | ------------------------- | ------------- | ------------- |\n", "| double | 1.11e-16 | 11 | 52 |\n", "| single | 5.96-8 | 8 | 23 |\n", "| [half](https://en.wikipedia.org/wiki/Half-precision_floating-point_format) | 4.88e-4 | 5 | 10 |\n", "| [bfloat16](https://en.wikipedia.org/wiki/Bfloat16_floating-point_format) | 3.91e-3 | 8 | 7 |\n", "\n", "The default floating point type in Julia is `double` precision, with uses 8 bytes (64 bits).\n", "IEEE-754 **single precision** (`float` in C) is half the size, 8 bytes (32 bits) and is popular where appropriate.\n", "IEEE-754 **half precision** reduces both the exponent and mantissa to fit into 4 bytes (16 bits).\n", "**bfloat16** is a non-IEEE type that is popular in machine learning due to it being easy to convert to/from single precision (truncate/round the mantissa)." ] }, { "attachments": { "abbba7dc-af10-417b-896f-dedc6a8bd5a8.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "1389e239-7aef-4efa-b91b-a43599946738", "metadata": {}, "source": [ "### Posits\n", "\n", "![image3.png](attachment:abbba7dc-af10-417b-896f-dedc6a8bd5a8.png)\n", "\n", "* [Gustafson and Yonemoto: **Beating Floating Point at its Own Game: Posit Arithmetic**](http://www.johngustafson.net/pdfs/BeatingFloatingPoint.pdf)\n", "\n", "* [de Dinechin: **Posits: the good, the bad and the ugly**](https://people.eecs.berkeley.edu/~demmel/ma221_Fall20/Dinechin_etal_2019.pdf)\n", "\n", "* [Interactive visualzation](https://cse512-19s.github.io/FP-Well-Rounded)\n", "\n", "* Julia package [SoftPosit.jl](https://github.com/milankl/SoftPosit.jl)" ] }, { "cell_type": "markdown", "id": "15417102-65df-4937-b816-3591da1074bd", "metadata": {}, "source": [ "### Mixed-precision algorithms\n", "\n", "Sometimes reducing the precision (from double to single, or from single to half) compromises the quality of results (due to ill-conditioning or poor stability), but one can recover accurate results by using higher precision in a small fraction of the computation.\n", "These are mixed-precision algorithms, and can be a useful optimization technique.\n", "\n", "Such techniques can give up to 2x improvement if memory bandwidth (for floating point data) or pure vectorizable flops are the bottleneck.\n", "In case of single to half precision, the benefit can be greater than 2x when using special hardware, such as GPUs with \"tensor cores\".\n", "\n", "Warning: Premature use of mixed-precision techniques can often obscure better algorithms that can provide greater speedups and/or reliability improvements." ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11.6", "language": "julia", "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }