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Mathematical Foundations of Machine Learning (Updated 09/2021)
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch Genre: eLearning | Language: English + srt | Duration: 105 lectures (15h 33m) | Size: 3.9 GB Essential Linear Algebra and Calculus Hands-On in NumPy, TensorFlow, and PyTorch What you'll learn: Understand the fundamentals of linear algebra and calculus, critical mathematical subjects underlying all of machine learning and data science Manipulate tensors using all three of the most important Python tensor libraries: NumPy, TensorFlow, and PyTorch How to apply all of the essential vector and matrix operations for machine learning and data science Reduce the dimensionality of complex data to the most informative elements with eigenvectors, SVD, and PCA Solve for unknowns with both simple techniques (e.g., elimination) and advanced techniques (e.g., pseudoinversion) Appreciate how calculus works, from first principles, via interactive code s in Python Intimately understand advanced differentiation rules like the chain rule Compute the partial derivatives of machine-learning cost functions by hand as well as with TensorFlow and PyTorch Grasp exactly what gradients are and appreciate why they are essential for enabling ML via gradient descent Use integral calculus to determine the area under any given curve Be able to more intimately grasp the details of cutting-edge machine learning papers Develop an understanding of what’s going on beneath the hood of machine learning algorithms, including those used for deep learning
Requirements All code s will be in Python so experience with it or another object-oriented programming language would be helpful for following along with the hands-on examples. Familiarity with secondary school-level mathematics will make the class easier to follow along with. If you are comfortable dealing with quantitative information — such as understanding charts and rearranging simple equations — then you should be well-prepared to follow along with all of the mathematics.
Description Mathematics forms the core of data science and machine learning. Thus, to be the best data scientist you can be, you must have a working understanding of the most relevant math.
Getting started in data science is easy thanks to high-level libraries like Scikit-learn and Keras. But understanding the math behind the algorithms in these libraries opens an infinite number of possibilities up to you. From identifying modeling issues to inventing new and more powerful solutions, understanding the math behind it all can dramatically increasing the impact you can make over the course of your career.
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FILE LIST
Filename
Size
~Get Your Files Here !/01 - Data Structures for Linear Algebra/001 Introduction.html
2.6 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/002 What Linear Algebra Is.mp4
133 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/002 What Linear Algebra Is_en.srt
28.2 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/003 Plotting a System of Linear Equations.mp4
57.1 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/003 Plotting a System of Linear Equations_en.srt
11.4 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/004 Linear Algebra Exercise.mp4
37.5 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/004 Linear Algebra Exercise_en.srt
6.5 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/005 Tensors.mp4
8.9 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/005 Tensors_en.srt
3.2 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/006 Scalars.mp4
92.1 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/006 Scalars_en.srt
15.9 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/007 Vectors and Vector Transposition.mp4
49.2 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/007 Vectors and Vector Transposition_en.srt
13.2 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/008 Norms and Unit Vectors.mp4
64.9 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/008 Norms and Unit Vectors_en.srt
17 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/009 Basis, Orthogonal, and Orthonormal Vectors.mp4
8.9 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/009 Basis, Orthogonal, and Orthonormal Vectors_en.srt
5.5 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/010 Matrix Tensors.mp4
45.2 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/010 Matrix Tensors_en.srt
9.6 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/011 Generic Tensor Notation.mp4
27.1 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/011 Generic Tensor Notation_en.srt
8.3 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/012 Exercises on Algebra Data Structures.mp4
6.5 MB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/012 Exercises on Algebra Data Structures_en.srt
2.7 KB
~Get Your Files Here !/01 - Data Structures for Linear Algebra/external-assets-links.txt
70 B
~Get Your Files Here !/02 - Tensor Operations/001 Segment Intro.mp4
2 MB
~Get Your Files Here !/02 - Tensor Operations/001 Segment Intro_en.srt
1.8 KB
~Get Your Files Here !/02 - Tensor Operations/002 Tensor Transposition.mp4
10.3 MB
~Get Your Files Here !/02 - Tensor Operations/002 Tensor Transposition_en.srt
4.1 KB
~Get Your Files Here !/02 - Tensor Operations/003 Basic Tensor Arithmetic, incl. the Hadamard Product.mp4
18.3 MB
~Get Your Files Here !/02 - Tensor Operations/003 Basic Tensor Arithmetic, incl. the Hadamard Product_en.srt
6.6 KB
~Get Your Files Here !/02 - Tensor Operations/004 Tensor Reduction.mp4
7.7 MB
~Get Your Files Here !/02 - Tensor Operations/004 Tensor Reduction_en.srt
3.9 KB
~Get Your Files Here !/02 - Tensor Operations/005 The Dot Product.mp4
16 MB
~Get Your Files Here !/02 - Tensor Operations/005 The Dot Product_en.srt
6.2 KB
~Get Your Files Here !/02 - Tensor Operations/006 Exercises on Tensor Operations.mp4
12.8 MB
~Get Your Files Here !/02 - Tensor Operations/006 Exercises on Tensor Operations_en.srt
3 KB
~Get Your Files Here !/02 - Tensor Operations/007 Solving Linear Systems with Substitution.mp4
14.7 MB
~Get Your Files Here !/02 - Tensor Operations/007 Solving Linear Systems with Substitution_en.srt
11.6 KB
~Get Your Files Here !/02 - Tensor Operations/008 Solving Linear Systems with Elimination.mp4
17.5 MB
~Get Your Files Here !/02 - Tensor Operations/008 Solving Linear Systems with Elimination_en.srt
13.9 KB
~Get Your Files Here !/02 - Tensor Operations/009 Visualizing Linear Systems.mp4
29.9 MB
~Get Your Files Here !/02 - Tensor Operations/009 Visualizing Linear Systems_en.srt
13.4 KB
~Get Your Files Here !/03 - Matrix Properties/001 Segment Intro.mp4
3.2 MB
~Get Your Files Here !/03 - Matrix Properties/001 Segment Intro_en.srt
2.8 KB
~Get Your Files Here !/03 - Matrix Properties/002 The Frobenius Norm.mp4
15.7 MB
~Get Your Files Here !/03 - Matrix Properties/002 The Frobenius Norm_en.srt
5.8 KB
~Get Your Files Here !/03 - Matrix Properties/003 Matrix Multiplication.mp4
70.5 MB
~Get Your Files Here !/03 - Matrix Properties/003 Matrix Multiplication_en.srt
28.8 KB
~Get Your Files Here !/03 - Matrix Properties/004 Symmetric and Identity Matrices.mp4
8.6 MB
~Get Your Files Here !/03 - Matrix Properties/004 Symmetric and Identity Matrices_en.srt
5.6 KB
~Get Your Files Here !/03 - Matrix Properties/005 Matrix Multiplication Exercises.mp4
11.8 MB
~Get Your Files Here !/03 - Matrix Properties/005 Matrix Multiplication Exercises_en.srt
8.4 KB
~Get Your Files Here !/03 - Matrix Properties/006 Matrix Inversion.mp4
74.5 MB
~Get Your Files Here !/03 - Matrix Properties/006 Matrix Inversion_en.srt
19.8 KB
~Get Your Files Here !/03 - Matrix Properties/007 Diagonal Matrices.mp4
8.2 MB
~Get Your Files Here !/03 - Matrix Properties/007 Diagonal Matrices_en.srt
3.7 KB
~Get Your Files Here !/03 - Matrix Properties/008 Orthogonal Matrices.mp4
11.2 MB
~Get Your Files Here !/03 - Matrix Properties/008 Orthogonal Matrices_en.srt
6 KB
~Get Your Files Here !/03 - Matrix Properties/009 Orthogonal Matrix Exercises.mp4
47.4 MB
~Get Your Files Here !/03 - Matrix Properties/009 Orthogonal Matrix Exercises_en.srt
16.5 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/001 Segment Intro.mp4
101.5 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/001 Segment Intro_en.srt
21.5 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/002 Applying Matrices.mp4
18.8 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/002 Applying Matrices_en.srt
8.4 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/003 Affine Transformations.mp4
95.9 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/003 Affine Transformations_en.srt
21.1 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/004 Eigenvectors and Eigenvalues.mp4
202.3 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/004 Eigenvectors and Eigenvalues_en.srt
28.4 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/005 Matrix Determinants.mp4
45.4 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/005 Matrix Determinants_en.srt
8.8 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/006 Determinants of Larger Matrices.mp4
53.9 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/006 Determinants of Larger Matrices_en.srt
9.5 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/007 Determinant Exercises.mp4
27.4 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/007 Determinant Exercises_en.srt
5.2 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/008 Determinants and Eigenvalues.mp4
89.3 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/008 Determinants and Eigenvalues_en.srt
16.4 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/009 Eigendecomposition.mp4
83.9 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/009 Eigendecomposition_en.srt
12.9 KB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/010 Eigenvector and Eigenvalue Applications.mp4
75.8 MB
~Get Your Files Here !/04 - Eigenvectors and Eigenvalues/010 Eigenvector and Eigenvalue Applications_en.srt
13.8 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/001 Segment Intro.mp4
15.8 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/001 Segment Intro_en.srt
4 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/002 Singular Value Decomposition.mp4
76.6 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/002 Singular Value Decomposition_en.srt
11.2 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/003 Data Compression with SVD.mp4
97 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/003 Data Compression with SVD_en.srt
12.1 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/004 The Moore-Penrose Pseudoinverse.mp4
97.7 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/004 The Moore-Penrose Pseudoinverse_en.srt
13.9 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/005 Regression with the Pseudoinverse.mp4
134.2 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/005 Regression with the Pseudoinverse_en.srt
21.5 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/006 The Trace Operator.mp4
38.8 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/006 The Trace Operator_en.srt
5.7 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/007 Principal Component Analysis (PCA).mp4
64.8 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/007 Principal Component Analysis (PCA)_en.srt
9.9 KB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/008 Resources for Further Study of Linear Algebra.mp4
31.7 MB
~Get Your Files Here !/05 - Matrix Operations for Machine Learning/008 Resources for Further Study of Linear Algebra_en.srt
6.6 KB
~Get Your Files Here !/06 - Limits/001 Segment Intro.mp4
23.7 MB
~Get Your Files Here !/06 - Limits/001 Segment Intro_en.srt
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