If we use a way to control the complexity of our regression model by adding a penalty terms to the error: $\hat{E} = E + \lambda \Omega$ and use as regularization term omega for example a penalty for large weights $\Omega = \frac{||w||^2}{2}$ with $w$ being the vector of weight, why do we need to normalize our data before?
Hey guys I found one or two papers which use ridge regression (for basketball data). I was always told to standardize my variables if I ran a ridge regression, but I was simply told to do this because ridge was scale variant (ridge regression wasn't really part of our course, so our lecturer skimmed through it).  These papers I read didn't standardize their variables, which I found a bit surprising. They also ended up with large values of lambda (around the 2000-4000 level) via cross-validation, and I was told that this is due to not standardizing the variables.  How exactly does leaving the variable(s) unstandardised lead to high lambda values and also, what are the consequences of not standardizing the variables in general? Is it really such a big deal?  Any help is much appreciated.
As I'm relatively new to the electronics world, I was wondering if you can connect multiple  ground terminals (corresponding to several different voltage outputs) to the same ground. Or do they each need their own?  In my case I have 5 lines, one 12V, one 3.3V, two 5V and one variable from a 12V in using a  voltage regulator that already has its own ground. So I'm guessing that each would need its own ground, but it is never bad to ask. I have used the package nomencl. In my code I have incorporated the \nomenclature as well. But when I compile, it is not showing me any results. My code is :  \documentclass[pdftex,12pt,a4paper]{report} \usepackage{nomencl} \makenomenclature \begin{document} ---page numbering and other things included----- \include{symbols} -----others--- \end{document}   symbols.tex  \chapter*{NOTATIONS} \addcontentsline{toc}{chapter}{Notations} \nomenclature{$G_e$}{Equivalent Shear Modulus} \printnomenclature   Shall I use \nomenclature while explaining the chapter. Will It give me the same results? like  \documentclass[pdftex,12pt,a4paper]{report} \usepackage{nomencl} \makenomenclature \begin{document} ---page numbering and other things included----- \include{symbols} \include{chap3-calculate_w} -----others--- \end{document}   symbols.tex  \chapter*{NOTATIONS} \addcontentsline{toc}{chapter}{Notations} \printnomenclature   chap3-calculate_w.tex  \chapter{SETTLEMENT RESPONSE OF GEOSYNTHETIC REINFORCED GRANULAR FILL SOFT SOIL} \label{chap:W} \section{INTRODUCTION} In this thesis, the methodology to determine an  Equivalent single layer shear modulus \nomenclature{$G_e$}{Equivalent Shear Modulus},$G_e$ value for a...etc   I am not getting the output in both these. Can someone help me with this? In the sentence      It's one of the best films that has/have ever been made   What should the verb agreement be? Evaluating a mathematical expression in a string How to pass parameters to an alias? For bash script, I can use "$@" to access arguments. What's the equivalent when I use an alias? How to remove local (untracked) files from the current Git working tree Why do I need 50 reputation to comment? What can I do instead? I cannot find enable-interactive-search in    gsettings set org.gnome.nautilus.preferences enable-interactive-search true.     I searched using    gsettings list-recursively | grep search     and    gsettings list-recursively | grep interactive     but no such option.  Can you help me disable this in Ubuntu 17.10 and later? An explanation of Hawking Radiation What is the best practice to make division return double in C# In c# when you want to divide the result of a method such as below, what is the best way to force it to return a double value rather than the default integer.   (int)Math.Ceiling((double)(System.DateTime.DaysInMonth(2009, 1) / 7));   As you can see I need the division to return a double so I can use the ceiling function. individual tick label style with pgfplots given the following code, I want to modify the tick labels in such a way, that for negative values of x, the labels are located above the x-axis. How can I realize this?  \documentclass{report} \usepackage{pgf} \usepackage{pgfplots} \pgfplotsset{compat=newest} \pgfplotsset{plot coordinates/math parser=false} \begin{document} \begin{tikzpicture} \begin{axis}[% axis x line=middle, axis y line=middle, width=10cm, height=10cm, scale only axis, xmin=-5, xmax=5, xtick={-4, -2, 0,  2,  4}, xticklabels={$-4\pi$, $-2\pi$, $0$, $2\pi$, $4\pi$}, extra x ticks={-4, -2}, ymin=-1.4, ymax=1.4, ytick={-1,  0,  1}] \end{axis} \end{tikzpicture}% \end{document} How is Gauss' Law (integral form) arrived at from Coulomb's Law, and how is the differential form arrived at from that? What is this shell/Bash syntax: someVariable=someValue someCommand I'm having problems with a WFS GetFeature request. I'm using OpenLayers with an OSM map as base layers which use the Google projection. Overlaying the layer with WMS works perfect. When I do a request to return all features within the bounds of a polygon, no features are found.  My layer uses EPSG:28992. the base layer uses: EPSG:900913  My layer configuration in GeoServer:    When I set the declared SRS to EPSG:900913 and set "SRS handling" to "Reproject native to declared" it works fine, but I need OpenLayers to reproject it, not GeoServer.  Below is an example request I would do. I think the problem is that GeoServer does not convert the spatial filter to the native SRS.  http://mydomain.com/wfs?request=GetFeature&amp;version=1.1.0&amp; srsName=epsg:28992&amp; typeName=Namespace:Layer1&amp; propertyName=(*)&amp; CQL_FILTER=year = 2011 and INTERSECTS(geometry,POLYGON((565585.61613069 6816272.786200799,565585.61613069 6817032.3791692,564362.62367835 6817032.3791692,564362.62367835 6816272.786200799,565585.61613069 6816272.786200799)))&amp; outputFormat=GMl2&amp;   Update  I just tried re-projecting some points from OpenLayers (EPSG:900913) via proj4js to EPSG:28992 (PostgreSQL and GeoServer). I took 3 points and  compared them. They all showed an offset.   Converted: POINT(233492,24349424947 582191,0681508556)  In Database: POINT(233530,852147064 582315,680920578)  Difference x: 38,60865281453 Difference y: 124,6127697224 Converted: POINT(133459,1980658749 455770,7481867363)  In Database: POINT(133486,356985081 455879,67223342)  Difference x: 27,1589192061 Difference y: 108,9240466837 Converted: POINT(176920,43262818802 317930,36182729155)  In Database: POINT(176954,154083767 318023,515324756)  Difference x: 33,72145557898 Difference y: 93,15349746445   If the offset was constant I could correct it. Now I'm not sure if the offset is caused by GeSserver or by proj4js. I'm guessing proj4js since the WMS layer does not show any offset. Remove border from IFrame How would I remove the border from an iframe embedded in my web app? An example of the iframe is:  &lt;iframe src="myURL" width="300" height="300"&gt;Browser not compatible.&lt;/iframe&gt;   I would like the transition from the content on my page to the contents of the iframe to be seamless, assuming the background colors are consistent. The target browser is IE6 only and unfortunately solutions for others will not help. Create a Collection inside another Collection with python How to create a Collection inside another existing Collection with Python? Convergence in Distribution in Order Statistics Let $X_1, X_2, \ldots$ be iid from Exp$(\theta)$ with density function $f(x) = \frac{1}{\theta}e^{-\frac{x}{\theta}}$. (a) Find the limiting distribution of $M_n = Y_1 - \theta\ln(n)$ and $T_n = nY_n$, where $Y_1$ and $Y_n$ represent the first and last order statistics (among $n$ observations) respectively. Answer: I have obtained the CDF of X to be: $$F_x(x) = 1 - e^{-\frac{x}{\theta}}$$ the CDF of $Y_1$ to be: $$F_{Y_1} = 1 = e^{-\frac{xn}{\theta}}$$ the CDF of $M_n$ to be: $$F_{M_n}(x) = \left[1 - \frac{1}{n}e^{-\frac{x}{\theta}}\right]^n$$ with limiting distribution $$e^{-e^{-\frac{x}{\theta}}}$$ the CDF of $T_n$ to be: $$F_{T_n}(x) = 1 - e^{-\frac{x}{\theta}}$$ which is also the limiting distribution. (b) Show that $M_n$ and $T_n$ are asymptotically independent. Answer: I've tried finding the joint PDF for ordered statistics by using the equation $$g_{ij}(y_i, y_j) = \frac{n!}{(i - 1)!(j - i - 1)!(n - j)!}[F(y_i)]^{i - 1}[F(y_j) - F(y_i)]^{j - i - 1}[1 - F(y_j)]^{n - j}f(y_i)f(y_j)$$ however, it is a mess based on my CDFs. Any suggestions on a different approach? prove that : $ i = \sqrt {-1}\ $ i have a pretty nasty question. i was glancing through a few olympiad papers and stumbled upon this question:  prove that  $ i = \sqrt {-1}\ $.  i tried the conventional methods namely euler's formula  but could not figure what to do next. how do you actually proceed further? i have checked a few books and a proof is not available.are there any proof available for this 1) Alex's house      2) Alex' house     When the noun ends with the letter 's' or 'x', do I need to put 's' after an apostrophe or not?  I remember I read some rules related to this in my school grammar book, but now I've forgotten it. Using methods from another class in the main?