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Original address Mathematics is the foundation of computer technology, linear algebra is the basis of machine learning and deep learning, the best way to understand the knowledge of the data I think is to understand the concept, mathematics is not only used for exams in scho
Linear algebra is the basis of machine learning, as early as six months ago we have developed linear algebra learning, of course, for machine
_ {M, 2 }} \ cdots \ frac {\ partial g (\ mathbf U) }{\ partial X _ {M, N }}\\ end {bmatrix }\\=\ left (\ sum _ {k} \ sum _ {L} \ frac {\ partial g (\ mathbf U )} {\ partial U _ {K, L }}\ frac {\ partial U _ {K, L }}{\ partial X _ {I, j }}\ right) _ {M \ times N }=\ left (tr \ left [\ left (\ frac {\ partial g (\ mathbf U) }{\ partial \ mathbf u} \ right) ^ {t} \ frac {\ partial \ mathbf u} {\ partial X _ {I, j }}\ right] \ right) _ {M \ times n} \] ? This article reposted self-China School
Linear algebra is the basis of machine learning, as early as six months ago we carried out linear algebra learning, of course, for machine
algebra review, I'll be the using one index vectors. Most vector subscripts in the course start from 1.When talking on machine learning applications, sometimes explicitly say if we need to switch to, when we need to use The zero index vectors as well. Discussion of machine learnin
general, multiplication does not satisfy the exchange law: $ \ Matrix {A} \ times \ matrix {B} \ not = \ matrix {B} \ times \ matrix {A} $Special Matrix $ \ Matrix {I }=\ matrix {I _ {n \ times N }}=\ begin {bmatrix} 1 0 \ cdots 0 0 \ Cr0 1 \ cdots 0 0 \ Cr \ vdots \ vdots \ Cr0 0 \ cdots 1 0 \ Cr0 0 \ cdots 0 1 \ Cr \ end {bmatrix} $ For any matrix $ \ matrix {A} $: $ \ Matrix {A} \ times \ matrix {I }=\ matrix {I} \ times \ matrix {A }=\ matrix {A} $Inverse Matrix and inverte
Reference: "Linear algebra" Tongji University, fourth edition 1. Elementary transformations of matrices 1) definition 2) equivalence relationship between matrices: definition, Nature (3) 3) row ladder-shaped matrix; the simplest form; standard type; equivalence class 2. Elementary matrices 1) definition 2) Theorem 1 (Relationship between elementary transformation and elementary matrix) 3) theorem 2
This article is a basic learning blog from the University of Paris, PhD Hadrien Jean, which aims to help beginners/Advanced Beginners Master the concept of linear algebra based on deep learning and machine learning. Mastering thes
may go through these stages again and again. You can only have a superficial impression when you first read a chapter, but after you have done exercises and built intuition, you can come back and read them again to have a deeper understanding, that is, to learn from the new. Study, even if you are not a student This process is not only applicable to students, but also helps to learn complex skills or accumulate professional knowledge on a topic. Learning
may go through these stages again and again. You can only have a superficial impression when you first read a chapter, but after you have done exercises and built intuition, you can come back and read them again to have a deeper understanding, that is, to learn from the new. Study, even if you are not a student This process is not only applicable to students, but also helps to learn complex skills or accumulate professional knowledge on a topic. Learning
simplification 5.2 learn faster strategies 5.3 study, even if you are not a student 1 Article: Challenge mit Computer Courses Recently, my friend Scott Young made an amazing feat: within a year, he completed all 33 of the legendary mit computer science curriculum, from Linear Algebra to Computational Theory. The most important thing is that he is self-taught. He watches online tutorial lectures and uses ac
The MIT Challenge My friend Scott Young recently finished a astounding Feat:he completed all the courses in MIT's fabled computer science C Urriculum, from Linear Algebra to Theory of computation, in less than one year. More importantly, he does it all in his own, watching the lectures online and evaluating himself using the actual exams. (see Scott's FAQ page for the details about how he ran this challenge
more than 700, the length of the second version of the increase of nearly two-thirds, the book content richer. Finally, on the basis of the second edition, we also add the content that is not involved in the textbook of similar standard type theory, linear mapping and generalized inverse of matrices based on elementary factors in general number field.Different from the general higher
Learning notes TF062: TensorFlow linear algebra compiling framework XLA, tf062tensorflow XLA (Accelerated Linear Algebra), a specialized Linear Algebra compiler (demain-specific compile
Make a mark and have time to summarize the knowledge of the linear algebra obtained in the 10-day course to finish a book.1. Determinant: The value can be evaluated2, Matrix: There is a corresponding determinant, the matrix itself can not calculate a value, but can be by the equivalent determinant of the value of the matrix and the adjoint matrix, whether reversi
to measurable mappings? We take the Bernoulli distribution as an example to introduce the implicit relationship.Bernulli Distribution of PMF (probabilistic Mass Function) isThat is, when the probability of X=1 is P, when the probability of x=0 is 1-p.Make sample space ω=[0,1], according to the Lebesgue measure, Pr ([A, b]) =b-a, wherein 0≤aSo, PR (x=1) = PR (ω≤p) = PR ([0,p]) = p; Pr (x=0) =1-p.Based on the above introduction, we can find that in the daily
Machine Learning-multiple linear regression and machine Linear Regression What is multivariate linear regression? In linear regression analysis, if there are two or more independent var
polynomial RegressionSuppose our input is a size of a house, the output of which is the price of it, which is polynomial-fitted:There are two options, two equations or three equations. Considering that the two-time equation is always at the highest point, with size↑,price↓, it is unreasonable to use three-time equations to fit.Normalization here is one of the keys.Or there is another fitting equation, the pink curve fits the following:(vi), Normal equationA method parallel to the gradient desce
values of each eigenvalue have the same scale range, so that the influence of each eigenvalue is the same.How do I set the value of λ? By selecting a different λ to repeat the test process, a λ that minimizes the prediction error is obtained. The best value can be obtained by cross-validation-the sum of squared errors is minimized on the test data.Ridge regression was first used to deal with more than a sample number of features, and is now used to add human bias to the estimate, thus obtaining
(refer to theCoursera public Lesson Note: Stanford University's seventh lesson on machine learning "regularization (regularization)").Note:θ0 is a constant, x0=1 is fixed, then θ0 does not need to punish the factor, the ridge regression formula I of the first element to be 0.This is done by introducing λ to limit the sum of squared errors by attracting the penalty. To reduce the number of unimportant param
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