Math and Statistics for Data Science, and Engineering
Jan 30
Misc. Math. Data Science. Machine Learning. Optimization. Vector, PCA, Basis, Covariance Orthonormality: Orthonormal Vectors “In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all vectors in the set are mutually orthogonal and all of unit length. …
Jan 29
“In mathematics, a set B of elements (vectors) in a vector space V is called a basis, if every element of V may be written in a unique way as a (finite) linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates on B of the …
Jan 28
Optimization Problem: Advances in Missile Guidance, Control, and Estimation Preview: https://play.google.com/books/reader?id=A2PMBQAAQBAJ&hl=en_GB&pg=GBS.PR14 https://books.google.ca/books?id=A2PMBQAAQBAJ&pg=PA595&lpg=PA595&dq=force+moment+interaction+with+thrusters&source=bl&ots=BruxnXwLzp&sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&hl=en&sa=X&ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&q=force%20moment%20interaction%20with%20thrusters&f=false "What is the difference between affine and linear? 4 Answers. A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part fixes …
Jan 28
What is the Inverse of a Matrix? https://www.mathsisfun.com/algebra/matrix-inverse.html What is Norm? “In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that satisfies certain properties pertaining to scalability and additivity, and assigns a strictly positive real number to each vector in a vector space over the field of real or …
Jan 26
find the equation for a line http://www.webmath.com/_answer.php Parametric forms for lines and vectors https://www.futurelearn.com/courses/maths-linear-quadratic-relations/0/steps/12128 Solving Systems of Linear Equations Using Matrices https://www.mathsisfun.com/algebra/systems-linear-equations-matrices.html Affine Space ” ” Subspace https://www.wolframalpha.com/input/?i=subspace “What is an affine set? A set is called “affine” iff for any two points in the set, the line through them is contained in the set. …
Jan 24
Industry Job Prospect for Graph Mining Sample Jobs https://www.careerbuilder.com/jobs-graph-mining https://www.indeed.com/q-Graph-Mining-jobs.html For example, Google works in the following areas of Graph Mining. Google has jobs for such. Also, Facebook and any other social networking site will have jobs in relation to Graph Mining. Computational Biology, Medicine Research, Drug Discovery, Disease Diagnosis, Transportation, Scheduling, Shipping Scheduling will …
Jan 23
Good intro to: Quadratic Forms and Convexity https://www.dr-eriksen.no/teaching/GRA6035/2010/lecture4.pdf Concave Upward and Downward https://www.mathsisfun.com/calculus/concave-up-down-convex.html Convex functions and K-Convexityhttps://ljk.imag.fr/membres/Anatoli.Iouditski/cours/convex/chapitre_3.pdf *** . *** . *** . *** Note: Older short-notes from this site are posted on Medium: https://medium.com/@SayedAhmedCanada *** . *** *** . *** . *** . *** Sayed Ahmed BSc. Eng. in Comp. Sc. & Eng. (BUET) …
Jan 19
Bayesian Statistics and Machine Learning “Bayesian inference is a method of statistical inference in which Bayes‘ theorem is used to update the probability for a hypothesis as more evidence or information becomes available. Bayesian inference is an important technique in statistics, and especially in mathematical statistics.” en.wikipedia.org › wiki › Bayesian_inference Bayesian inference – Wikipedia …
Jan 18
Optimization and Linear Algebra/Math from the Internet First order taylor approximation formula? https://www.thestudentroom.co.uk/showthread.php?t=1247928 Hessian Matrix https://en.wikipedia.org/wiki/Hessian_matrix "In mathematics, the Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables." Use in optimization "Hessian matrices are …
Jan 18
SeDuMi MATLAB add-on: solve optimization problems with linear, quadratic and semidefiniteness constraints "Abstract SeDuMi is an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints. It is possible to have complex valued data and variables in SeDuMi. Moreover, large scale optimization problems are solved efficiently, by exploiting sparsity. This …
