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Foundataions of machine learning: Rademacher complexity and VC-dimension (2)

$ E [x] = 0 $. Then, for all $ T> 0 $, the following inequality is true: $ E [Exp (TX)] \ Leq exp (\ frac {t ^ 2 (B-a) ^ 2} {8}) $ Theorem 2.3 Massart's lemma:Make $ A \ In \ mathbb {r} ^ m $ a finite set, remember $ R =\max _ {x \ In a} \ parallel x \ parallel_2 $, the following inequality is true: $ \ Mathop {e }_{\ Delta} [\ frac {1} {m} \ sup _ {x \ In a} \ sum _ {I = 1} ^ m \ sigma_ix_ I] \ Leq \ frac {r \ SQRT {2log \ mid A \ mid }}{ m }. $ Her

Report, 20150423, on Distance rate

= a_n\left[{\begin{array}{*{20}{c}} {{u_0}}\\}} {u_1}}\\ \vdots \ {{u_{n-1}}} \end{ Array}} \right].\] Suppose that $h _0 \ne 0$ which implies $A _n$ are nonsingular and let the system input being Gaussian white with zero mean and $\sigma_u^2$ as covariance. Let ${\tilde u_k} = {[{\begin{array}[b]{*{20}{c}} {{u_0}}{{u_1}} \cdots {{u_{k-1}}} \end{array}}]^T}$ and ${\tilde Y_k} = {[{\begin{array}[b]{*{20}{c}} {{y_0}}{{y_1}} \cdots {{y_{k-1}}} \end{array}}]^T}$, It's easy for see that \begin{equat

HDU 1028 Ignatius and the Princess III Ignatius and Princess III (AC code) female functions

I heard the use of recursion, DP and other methods to do, but this problem is the introduction of the female function classic Oh ~ So I used the female function1#include 2 #defineN 1203 using namespacestd;4 intans[n+1],sup[n+1];//ans Save the answer, SUP save temporary value5 voidMain ()6 {7 intnum=0, i,j,k;8 for(i=0; i1; i++)//all initialized to 19ans[i]=1;Ten for(i=2; i//section I parenthese

QPM-PHP multi-process development-Supervisor Configuration Reference

runnableCallback is the callback for executing the actual task in the sub-process. RunnableClass is the class used to execute the actual task in the sub-process. it is either runnableCallback or runnableCallback. The quantity type integer defaults to 1 concurrency. MaxRestartTimes integer can be used with withInSeconds for the maximum number of restarts. The withInSeconds type integer and maxRestartTimes indicate the maximum number of restarts of the master process within the

A brief introduction to several Cssreset methods

; } Fieldset,img { border:0; } Address,caption,cite,code,dfn,em,strong,th,var { font-weight:normal; Font-style:normal; } Ol,ul { List-style:none; } caption,th { Text-align:left; } H1,h2,h3,h4,h5,h6 { font-weight:normal; font-size:100%; } Q:before,q:after { content:; } abbr,acronym {border:0; } OK, I believe you have already understood the purpose of CSS reset, perhaps you can also according to their own preferences, write a CSS reset system, after all, the needs of everyone and habits

A detailed description of the schema in OpenLDAP

Include/usr/local/etc/openldap/schema/cosine.schema Include/usr/local/etc/openldap/schema/inetorgperson.schema # include local schema Include/usr/local/etc/openldap/schema/local.schema(Translator: The LDAP installation location in Ubuntu is slightly different and cannot be pasted exactly by this example.) ) 4. Attribute type description Attribute type specification AttributeType is used to define a new property type. For example, the directive uses the same Attribute

LINQ: aggregate; sequenceequal; join

student{Userid = 1,Studentname = "Eric" }; Student C = new student{Userid = 2,Studentname = "laoyi" };List. Add ();List. Add (B ); List. Add (C ); List2.add (C );List2.add (B ); List2.add (); VaR TT = List. sequenceequal (list, new studentcomparer ()); Public class student{Public int userid {Get; set ;}Public String studentname {Get; set ;}} Custom comparison class:Public class studentcomparer: iequalitycomparer {Public bool equals (student X, student y){Return X. userid. Equals (Y. userid );}

To find the maximum value

Maximum value for $ (\cos x+2) (\sin x+1) $Solution: Set $ $f (x) =\cos x \sin x +\cos x+ 2\sin x +2$$make $t=\tan{\frac{x}{2}}$, then$$\sin x=\frac{1}{1+t^{2}}; \cos x=\frac{1-t^{2}}{1+t^{2}}$$Bring in $f (x) $ to find the maximum value of the formula$ $g (t) =\frac{-t^{4}+2t^{3}+6t+1}{(1+t^{2}) ^{2}}+2$$derivative of $g (t) $$ $g ' (t) =\frac{-2 (t^{4}+2t^{3}+6t^{2}+2

CGB technical excerpt (2)

in the range [2-3], we do not intervene because it takes a long process to build a warehouse. We will not perform this operation until the stock price goes into the [2 + 3 range. 57 .---------------Exact bottom-test formula-------------------- Bottom = 2T-H 58 .---------------Operation Plan when the direction of breakthrough is uncertain---------------- Use the 60-minute K line to view the trend of the dashboard. Keep up and wait. 59 .----------

Partition problem of Linux hard disk and its solution

partition of this knowledge, I summarize the following (just summary, the specific content please yourself search Element): 1. The traditional BIOS only supports booting from the MBR partition's hard disk. The partition table for the MBR partition is stored in the first sector of the hard disk and only 64 bytes, so there can be up to four table entries. In other words, we can only divide the hard disk into 4 primary partitions, or divide it into less than 3 primary partitions plus one extended

A simple Erlang process pool Analysis

A simple Erlang process pool Analysis This is a simple Erlang process pool analysis, which islearn you some erlang for Great GoodHere is an example. For details, go to the official website!Main Flowchart Implementation Principle The implementation principles of this example are described in detail on the official website.ppool_servMedium,ppool_servIsgen_server behaviour, Andppool_supIsone_for_allPolicy, ifppool_servOrworker_supThere is no need for problems to exist with each other. Here, the imp

CSS reset code Summary

The most simplified and commonly used Reset * {Padding: 0; margin: 0; Border: 0 ;} Yui reset CSS body,div,dl,dt,dd,ul,ol,li,h1,h2,h3,h4,h5,h6,pre, form,fieldset,input,textarea,p,blockquote,th,td { padding: 0; margin: 0; } table { border-collapse: collapse; border-spacing: 0; } fieldset,img { border: 0; } address,caption,cite,code,dfn,em,strong,th,var { font-weight: normal; font-style: normal; } ol,ul { list-style: none; } caption,th { text-align: left; } h1,h2,h3,h4,h5

New features of JavaScript ES6 define Class_javascript techniques with new methods

as the constructor directly, the second is as the parent class instance, the third is to call the static method of the parent class in the static method in the subclass; ES6 inherited and ES5 inheritance of the main difference, the common inheritance in ES5 is the prototype of the handle class set to an instance of the parent class, the subclass naturally has all the methods and properties of the parent class: Run the following code var Sup

Multi-threaded 6---Re-entry lock 2

1.1 Public classSyncDubbo2 {2 Static classsup{//Parent Class3 Public inti = 10;4 Public synchronized voidOpersup () {5 Try{6i--;7SYSTEM.OUT.PRINTLN ("Sup parent class print i=" +i);8Thread.Sleep (1000);9}Catch(interruptedexception e) {Ten e.printstacktrace (); One } A } - } - the Static classSubextendssup{//sub-class - Public synchronized voidopersub () { - Try {

UBB (C #)

]. ToString (), "} #endregion #region Marks R = new Regex (\[u\]) ([\s\t]*?) (\[\/u\]) ", regexoptions.ignorecase); for (M = R.match (sdetail); m.success m = M.nextmatch ()) { Sdetail = Sdetail.replace (M.groups[0]. ToString (), "} #endregion #region [p][/p] Tag Place [p][/p] Mark R = new Regex ((\ r \ n) *\[p\]) (. *?) ((\ r \ n) *\[\/p\]) ", regexoptions.ignorecase| Regexoptions.singleline); for (M = R.match (sdetail); m.success m = M.nextmatch ()) { Sdetail = Sdetail.replace (M.groups[0]. ToS

Day 38th: Using the Parted partition

With the development of technology disk more and more cheap, more and more capacity, at this time we will learn another partition command;The following sections come from a very powerful teacher;When using the Fdisk tool partition, if the partition is larger than 2T, you will be prompted:Value out of range.Therefore, you cannot use the Fdisk partition tool, if you use parted to partition.================================================================

The maximal sub-array problem of divide and conquer strategy

Recursive typeRecursion is closely related to divide-and-conquer methods, since the running time of the divide-and-conquer algorithm can be depicted naturally by using recursion. A recursive formula is an equation or inequality that describes a function by a smaller number of functions on the input. For example, in section 2.3.2, we describe the worst-case run time t (n) of the Merge-sort process with recursion:Θ (1) if n=1T (N) = (4.1)2T (N/2) +θ (n)

From two fork sorting tree to balanced binary tree to red black Tree Series 3

TRUE if X is a leaf node, false otherwise2. Each internal node x also contains x.n+1 pointers to their children. (A X.N keyword divides an interval into x.n+1, so there are x.n+1 children, number of children = key Words + 1). Leaf nodes do not have children, so they do not have pointers pointing to the child.3.X.N a keyword to split the range of keywords stored in each subtree.4 Each leaf node has the same depth. That is, the height of the tree H5 The number of keywords contained in each node

Linux hard disk GPT partitions and MBR partitions

summarize the following (just summary, the specific content please yourself search Element): 1. The traditional BIOS only supports booting from the MBR partition's hard disk. The partition table for the MBR partition is stored in the first sector of the hard disk and only 64 bytes, so there can be up to four table entries. In other words, we can only divide the hard disk into 4 primary partitions, or divide it into less than 3 primary partitions plus one extended partition. Extended partitions

Algorithmic Analysis | Series 4 (Resolve recursion)

in the previous article, we discussed the analysis of loops. Many algorithms are recursive in nature. when we analyze them, we get the recursive relationship of time complexity. The run time we get is the input of size n as the function of N, and the run time of the input of the smaller size. For example, in "merge sort", in order to sort the given array, we divide it into two halves and repeat the two processes recursively. Finally we merge the results. The time complexity of the merge sort can

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