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Machine Learning Public Course notes (1)

Preliminary introductionSupervised learning: Given a DataSet and know what its correct output should be like, feedback (feedback), divided into Regression (regressioin): Map input to a continuous output value. Classification (classification): Map output to discrete output values. Unsupervised learning: Given a data set, it is not known what the correct output is, no feedback, divided into Cluster (clustering): Examples:google News, computer clustering, Markert segmenta

[Home Squat University Mathematics magazine] an integral inequality in the No. 409 period relating to the sine logarithm

Trial: $$\bex 0 proof: $$\beex \bea \int_0^\infty \frac{\sin t}{\ln (1+x+t)}\rd T =\sum_{k=0}^\infty\sez{\int_{2k\pi}^{2k\pi+\pi} \frac{\sin t}{\ln (1+x+t)}\rd t +\int_{2k\pi+\pi}^{2k\pi+2\pi} \frac {\sin T} {\ln (1+x+t)}\rd t}\\ =\sum_{k=0}^\infty \sez{\int_0^\pi \frac{\sin s}{\ln (1+x+2k\pi +s)}\rd s-\int_0^\pi\

Proof and method of three prime number theorem (Ii.)

In the previous article, we basically proved the three prime numbers theorem, and only the Vinogradov theorem was not validated, that is, the following:"Set $\tau = N (\log N) ^{-20}$, $x \geq \tau$, Real $\alpha$ by lemma 1.1 gives its expression $\alpha = \frac{a}{q} + \beta$, easy to know \leq Q \leq \tau \leq x$. We have \begin{align*} S (X,\alpha) = \mathcal{o}\left (x \log^2 x \left (\sqrt{\frac{q}{x}

Scikit-learn linear regression Algorithm Library summary

different linear regression algorithm is Formed. The linear regression algorithm library in Scikit-learn can find their differences from these three points. Understanding these different points, the use of different algorithms to understand the scene is Good.1. linearregression    Loss Function:The Linearregression class is the most common linear regression we normally call, and its loss function is the simplest, as Follows:\ (J (\mathbf\theta) = \frac

Python function Basics: Nested functions, scopes, anonymous functions, recursive functions

( )#Output Result:# ANote: These cases are used for analysis and are seldom used in actual production.Scope:In Python, a function is a scope, and a local variable is actually placed in its scope.Age = 18deffunc1 (): Age= 22defFunc2 ():Print(age)returnFunc2#Func2 without parentheses, return this function nameVal=func1 ()Print(Val)#the name of the function is printedVal ()#Val is Func2, and this will be done#Output Result:###虽然是在外部执行, but is still called through its domain-defined relationship, s

Smooth l0 norm accelerated sparse recovery with threshold value--English translation of the same name

theoretical boundary [9] to ensure stable recovery.Let $i = lj$ is the total number of iterations and uses the Lagrange mean theorem, which has$\delta x_n^{(i)}-\delta x_n^{(i)} = \frac{{\partial g}}{{\partial \bar x}}\left ({\xi _n^{(i)}} \right) \left ({x_n^{(i -1)}-x_n^{(I-1)}} \right) $, (1)where $\xi _n^{(i)}$ falls between $x_n^{(I-1)}$ and $x_n^{(I-1)}$. When the iteration terminates, there are $\delta x_n^{(I)} \to 0$ and $\delta x_n^{(I-1)}

Hdu5528-count A * b

Hdu5528-count A * bProcedure: Beg \ (\sum_{m|n} (m^2-\sum_{i=1}^{m}\sum_{j=1}^m [M| ( IJ)])\ (h (m) = \sum_{i=1}^{m}\sum_{j=1}^m [M| ( IJ)] = \sum_{i=1}^m\sum_{j=1}^m [\frac{m}{(i,m)}|\frac{i}{(i,m)}j]\)$ = \sum_{i=1}^m\sum_{j=1}^m [\frac{m}{(i,m)}|j] = \sum_{i=1}^m \frac{m}{\frac

09th sets of simulated exam for Mathematics Competition Training of Gannan Normal University

}}\\ = C ^ tab ^ t + cab. \ EEA \ eeex $ 2. if $ A (t) = (a _ {IJ} (t) $ is set, each $ A _ {IJ} (t) $ is bootable. test certificate: $ \ Bex \ frac {\ RD} {\ RD t} | A (t) | = | A (t) | \ cdot \ tr \ SEZ {A ^ {-1} (t) \ cdot \ frac {\ RD a (t) }{\ rd T }}. \ EEx $ Proof: $ \ beex \ Bea \ frac {\ RD} {\ RD t} | A (t) | =\ sum (-1) ^ {\ Tau (I _1 \ cdots I _n)

[College of mathematics] improved TV Model in 057th Image Restoration

$ \ BF abstract $: This article gives a detailed description of section 6.2 of "methods of partial differential equations in image processing" Edited by Wang dakai. $ \ BF keywords $: image restoration; TV model; matlab programming 1. Preface In the process of image formation, transmission, and storage, the image quality may degrade ). the degraded image can be described by the mathematical model $ \ bee \ label {1: d} u_0 = h_d * F + n \ EEE $. (1) $ f (x, y) $ is the ideal image; (2) $ h_d (

Softmax Regression and Python code

Softmax regression is a generalization of logistic regression on multi-classification problems, which is mainly used to deal with multi-classification problems, among which any two categories are linearly divided.Assuming there are $k$ categories, the parameter vectors for each category are ${\theta}_j $, then for each sample, the probability of its owning category is:\[p ({{y}_{i}}| X,{{\theta}_{j}}) =\frac{{{e}^{{{\theta}_{j}}x}}}{\sum\limits_{l=1}^

BZOJ4035 array game, game theory + block messing

Transmission DoorIdeas:At first the idea was very good, later on a more strange topicPlay a lot like sdoi2016r2 coin game, but that topic directly violent SG can be passed, the subject of direct sets of rules only 30 points;Slightly optimized, do not enumerate K, directly XOR the successor state of SG, you can get 50 points, complexity O (NLOGN) O (n\log N);70 points need a more interesting conclusion:If ⌊ni⌋=⌊nj⌋\lfloor\frac n i\rfloor=\lfloor\

"Algorithm" Dirichlet convolution & the inverse of the UFA

are several common convolution relationships:\ (\MU * 1 = \epsilon \)\ (\phi * 1 = id\)\ (id * \mu = \phi\)(The functions in these equations are all integrable functions). Note: Convolution of the integrable function is still an integrable function, and convolution satisfies the binding law, commutative law, and distributive law.First, we have a simple topic to feel the convolution and inversion of the role played: the surface in this: HAOI2011Notice that \ (i, j\) has a certain range, but such

Lesson 3 make makefile (Part 1)

lesson uses the original file Calc. c. Calc. h. calcmain. c3 files (For details, refer to them). First, clear other files and create a MAKEFILE file. The steps are as follows: 1> Create a makefile and enter the following content: calc:calc.o calcmain.o gcc -Wall calc.o calcmain.o -o calccalcmain.o:calcmain.c gcc -Wall -c calcmain.c -o calcmain.ocalc.o:calc.c gcc -Wall -c calc.c -o calc.o.PHONY:

Typedef and function pointer

In the use of typedef, the most troublesome thing is to point to the function pointer. Without the following function, do you know the definition of the following expression and how to use it? Int (*S_calc_func(CharOP ))(Int,Int); If you do not know, see the following Program , Which provides detailed descriptions. // Define four functions Int Add ( Int , Int ); Int Sub ( Int , Int ); Int Mul ( Int ,Int ); Int Div ( Int , Int ); // Define pointer to this type of function Typedef

Lesson 3 make Makefile (I) and make makefile

Cui for reminding me that you must open the Tab key and enter it, And then reply to it; This document describes how to use makefile.Practice: This lesson uses the original file calc. c. calc. h. calcmain. c3 files (For details, refer to them). First, clear other files and create a Makefile file. The steps are as follows: 1> Create a Makefile and enter the following content: calc:calc.o calcmain.o gcc -

C Language: TypeDef definition function pointer __ function

In the use of TypeDef, the most troublesome point is the pointer to a function, and without the following function, you know the definition of the expression below and how to use it. Int (*s_calc_func (char op)) (int, int); If you do not know, please see the following program, which has a more detailed description #include int add (int, int); int sub (int, int); int mul (int, int); int div (int, int); To define a pointer to this type of function typedef int (*FP_CALC) (int, int); Int (*s_calc_f

Use Borland C ++ builder to write DLLs

//--------------------------------------------------------------------------- # Pragma argsused Int winapi dllentrypoint (hinstance hinst, unsigned long reason, void * lpreserved) { Return 1; } //--------------------------------------------------------------------------- Extern "C" _ declspec (dllexport) int _ stdcall calc (int A, int B) // export the Function { Return A + B; } /

Modulo C (n, m) % (10 ^ 10)

inverse element of the denominator, the denominator must have mutual quality with 2. Therefore, we first remove the multiples of 2. Obviously, the periodicity is still satisfied. For example, 11 is required now! % (2 ^ 10) Assume that calc (n, mod) can calculate n! Mod remainder of all odd-number products in 1*2*3*4*5*6*7*8*9*10*11 1*3*5*7*9*11*2*4*6*8*10 = 1*3*5*7*9*11*2 ^ 5*(1*2*3*4*5 ), the problem can be solved recursively !!!! Therefore, you can

Python character encoding and function basic use-DAY3

is the function name print("Leon has A Dream" # call function Functions with Parameters:A = ten= 5def Calc (A, b ):print(A * * = Calc (A, b) Print (c)First of all, the above code will output two characters, one is 10000, one is none, why is this? First C is equal to executing the CALC function again, so the output 10000 is positive, but why does it out

Using CSS to implement a variety of picture filter effects Demo

Original: In most of the following effects, the background image source Background-image URLs are often reused several times, and are processed using CSS blending modes (multiply, overlay, screen, difference, etc.). In some effects, use the CSS Filter property to further process the picture, such as grayscale (), brightness (), and contrast () to make the picture appear better. When making this demo, we first let these pictures take on a raw look, and then use the CSS @supports to detect whethe

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