From f5db2aa5d17e526f73576b26244db7676dd32447 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 12:47:29 +0200 Subject: [PATCH 1/2] Fixed links --- local_optimization/BXNL/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/local_optimization/BXNL/Readme.md b/local_optimization/BXNL/Readme.md index 640ad4d..1a3e2cb 100644 --- a/local_optimization/BXNL/Readme.md +++ b/local_optimization/BXNL/Readme.md @@ -22,7 +22,7 @@ Figure 1 shows an illustrative simple problem of data fitting ([Jupyter Notebook **Figure 1.** Example of a NLLS orbital data fitting. - Given a set of 7 orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. For this example assume that expert knowledge provides insight on the reliability of each measument and that for this satellite configuration operational orbit height should around 250 +/-3 units. Center plot shows a simple fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to earch surface) unreliablity should be taken into account while doing the fitting. Weights for the residuals should be proportional to the inverse of their variability. For this example suppose we are provided with the accuracy for each of the data measurements, this can be factored using weighted nonlinear least-squares. The rightmost plot shows the weighted optimal solution with orbit height of 254.90 units wich is withing the suggested tolerance. Image credit: [Image of Earth](http://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](http://pics.eumetsat.int/viewer/index.html#help). + Given a set of 7 orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. For this example assume that expert knowledge provides insight on the reliability of each measument and that for this satellite configuration operational orbit height should around 250 +/-3 units. Center plot shows a simple fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to earch surface) unreliablity should be taken into account while doing the fitting. Weights for the residuals should be proportional to the inverse of their variability. For this example suppose we are provided with the accuracy for each of the data measurements, this can be factored using weighted nonlinear least-squares. The rightmost plot shows the weighted optimal solution with orbit height of 254.90 units wich is withing the suggested tolerance. Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). # More Info From e57fc05ab9b27db66d06a52f9b9412205e984544 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 12:52:45 +0200 Subject: [PATCH 2/2] Fixed image link --- local_optimization/BXNL/notebooks/simple_BXNL.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/local_optimization/BXNL/notebooks/simple_BXNL.ipynb b/local_optimization/BXNL/notebooks/simple_BXNL.ipynb index 49a5d80..2393fff 100644 --- a/local_optimization/BXNL/notebooks/simple_BXNL.ipynb +++ b/local_optimization/BXNL/notebooks/simple_BXNL.ipynb @@ -43,7 +43,7 @@ "etched nuclear track data to a convoluted distribution. A target\n", "sheet is scanned and track diameters (red wedges in\n", "the following Figure 1) are recorded into a histogram and a mixed Normal and log-Normal model is to be fitted to the experimental histogram (see Figure 2).\n", - "![PADC](tracks.png)\n" + "![PADC](../images/tracks.png)\n" ] }, { @@ -560,4 +560,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} +} \ No newline at end of file