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TensorFlow is used for simple linear regression and gradient descent examples. tensorflow gradient
Linear regression is supervised learning. Therefore, the method and supervised learnin
1 Basic Concepts
1) definition
Gradient Descent method is to use negative gradient direction to determine the new search direction of each iteration, so that each iteration can reduce the objective function to be optimized gradually .
The gradient descent method is the stee
A reprint of the article in the logistic regression there are some basic not mentioned in this article will be explained in detail. So it is recommended to read this one first.
This article is reproduced from http://blog.csdn.net/xiazdong/article/details/7950084.
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This article will cover:
(1) Definition of linear regression
Stanford machine learning notes, source: http://blog.csdn.net/xiazdong/article/details/7950084
This article will cover:
(1)Linear regression Definition
(2)Single-Variable Linear Regression
(3)Cost Function: method for evaluating whether linear
o'clock):Strategy: Follow what criteria to learn or choose the optimal model.Students who have studied linear regression should remember to minimize the mean square error, the so-called least-squares (in the SPSS linear regression corresponding module called OLS namely ordinary Least squares):Algorithm: Based on the t
rate, it can be understood that in the function map "downhill" when we are small rags walk, or a stride? That is, α defines how much of the size interval we modify two parameter values at a time. In practice, α is expected to decrease with respect to the target, but the α-fixed size can also be guaranteed to converge to the minimum, as the partial derivative of the function becomes smaller as it approaches the local minimum value.The partial derivative, is the second noteworthy place, namelymay
Today I would like to share with you the use of gradient descent to solve linear regression problems, using the framework is TensorFlow, the development environment in the Linux Ubuntu
Which needs to use the Python library has numpy and matplotlib, we are not clear about these two libraries can be directly Google or Ba
1. Background
The background of the article is taken from an Introduction to gradient descent and Linear regression, this paper wants to describe the linear regression algorithm completely on the basis of this article. Some of th
1650 sq-ft, 3 BR House ' ... ' (using gradient descent): \ n $%f\n '], price); percent ================ part 3:normal equations ================data = Csvread (' Ex1data2.txt '); X = Data (:, 1:2); y = data (:, 3); m = length (y);% Add intercept term to XX = [Ones (M, 1) x];% Calculate the parameters from The normal Equationtheta = normaleqn (X, y);% Display normal equation ' s resultfprintf (' The
I. Summary
Linear Regression Algorithms are a type of supervised learning algorithm used for Numerical Prediction of continuous functions.
After preliminary modeling, the process determines the model parameters through the training set to obtain the final prediction function. Then, the predicted value can be obtained by inputting the independent variable.Ii. Basic Process
1. Preliminary modeling. Determine
gradient descent algorithm: linear regression Model: Linear hypothesis:Squared difference cost function:By substituting each formula, the θ0 and θ1 are respectively biased:By substituting the partial derivative into the grad
,-2.68076.5479,0.296787.5386,3.88455.0365,5.701410.274,6.75265.1077,2.05765.7292,0.479535.1884,0.204216.3557,0.678619.7687,7.54356.5159,5.34368.5172,4.24159.1802,6.79816.002,0.926955.5204,0.1525.0594,2.82145.7077,1.84517.6366,4.29595.8707,7.20295.3054,1.98698.2934,0.1445413.394,9.05515.4369,0.61705Third, the code implementationClear all; Clc;data = Load (' ex1data1.txt '); X = Data (:, 1); y = data (:, 2); m = length (y); % Number of training Examplesplot (x, y, ' Rx '), percent ================
Mathematics in machine learning (1)-Regression (regression), gradient descent (gradient descent)Copyright Notice:This article is owned by Leftnoteasy and published in Http://leftnoteasy.cnblogs.com. If reproduced, please specify t
distributed.This series mainly want to be able to use mathematics to describe machine learning, want to learn machine learning, first of all to understand the mathematical significance, not necessarily to be able to easily and freely deduce the middle formula, but at least to know these formulas, or read some related papers can not read, This series will focus on the mathematical description of machine learning, which will cover but not necessarily limited to
transferred from: Http://www.cnblogs.com/LeftNotEasy
Author: leftnoteasy
regression and gradient descent:
Regression in mathematics is given a set of points, can be used to fit a curve, if the curve is a straight line, that is called linear
this formula, if:(1) m is the total number of samples, that is, each iteration of the update to consider all samples, then called batch gradient descent (BGD), this method is very easy to obtain the global optimal solution, but when the number of samples, the training process is very slow. Use it when the number of samples is small.(2) when m = 1, that is, each iteration is updated to consider only one sam
nicelyThere are also non-linear decision boundaries that are similar.The cost function of the logistic regressionRecall that the costfunction of linear regression is as followsAt this point, we can no longer use the cost function of the linear model to design the cost function of the logistic
training samples, m represents the number of characteristics (arguments) of each training sample, the superscript denotes a J sample, and the subscript denotes the I feature (argument value), which represents the total value of the first J sample.Now H is about w0,w1,w2 .... WM function, we need to find the most suitable w value by the appropriate method, in order to obtain a better linear regression equat
single-Variable linear regression: is to minimize the following: The two parameters can be solved by derivation respectively. The gradient descent method (English: Gradient descent) is an optimization algorithm, often referre
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