Difference between revisions of "Math for Intelligence"

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* [http://lagunita.stanford.edu/courses/HumanitiesSciences/StatLearning/Winter2016/about Statistical Learning | T. Hastie, R. Tibshirani - Stanford]
 
* [http://lagunita.stanford.edu/courses/HumanitiesSciences/StatLearning/Winter2016/about Statistical Learning | T. Hastie, R. Tibshirani - Stanford]
 
* [http://www.kdnuggets.com/2018/09/essential-math-data-science.html Essential Math for Data Science:  ‘Why’ and ‘How’ | Tirthajyoti Sarkar]
 
* [http://www.kdnuggets.com/2018/09/essential-math-data-science.html Essential Math for Data Science:  ‘Why’ and ‘How’ | Tirthajyoti Sarkar]
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* Fundamentals:
 
* Fundamentals:
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** [http://www.khanacademy.org/math/statistics-probability Statistics and Probability | Khan Academy]
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** [http://www.khanacademy.org/math/linear-algebra Linear Algebra | Khan Academy]
 
** [http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/ Linear Algebra]
 
** [http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/ Linear Algebra]
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** [http://www.khanacademy.org/math/statistics-probability Stats and Probability]
 
 
** [http://www.khanacademy.org/math/differential-calculus Differential Calculus]
 
** [http://www.khanacademy.org/math/differential-calculus Differential Calculus]
 
** [http://www.khanacademy.org/math/multivariable-calculus Multivariable Calculus]
 
** [http://www.khanacademy.org/math/multivariable-calculus Multivariable Calculus]

Revision as of 22:29, 10 January 2019

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Getting Started

3blue1brown

Explained

Dot Product

Dot Product =

  • Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers.
  • Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them.

convolution_schematic.gif

Take a moment to understand how the computation above is being done. We slide the orange matrix over our original image (green) by 1 pixel (also called ‘stride’) and for every position, we compute element wise multiplication (between the two matrices) and add the multiplication outputs to get the final integer which forms a single element of the output matrix (pink). Note that the 3×3 matrix “sees” only a part of the input image in each stride. In CNN terminology, the 3×3 matrix is called a ‘filter‘ or ‘kernel’ or ‘feature detector’ and the matrix formed by sliding the filter over the image and computing the dot product is called the ‘Convolved Feature’ or ‘Activation Map’ or the ‘Feature Map‘. It is important to note that filters acts as feature detectors from the original input image. | ujjwalkarn

313px-Matrix_multiplication_diagram_2.svg.png cross-product-grid.png

Siraj Raval

Josh Starmer - StatQuest

Gilbert Strang (MIT) - Linear Algebra

Quantum Algorithm

Statistics

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