ComputingNotes

Calculus – Linearization and Differentials

by ComputingNotes
Book Calculus by Thomas/Finney, 9th Edition, Page 248 Linearization: Approximating functions https://math.stackexchange.com/questions/1385936/approximating-sqrt1-frac1n-by-1-frac12n#:~:text=The%20function%20f(%20x)=%20%E2%88%9A%201+%20x,%E2%88%9A%201+%20x%20for%20x%20%E2%89%A5%200. Differentials Differential Estimate of Change:In calculus, estimating change with differentials is a method from calculus used to approximate how much a function’s output changes when the input changes by a small amount. Instead of calculating the exact change (which can be difficult and ... Read More

Calculus – Optimization

by ComputingNotes
Book Calculus by Thomas/Finney, 9th Edition, Page 233 Example problem: Find 2 positive numbers whose sum is 20 and their product is as large as possible.

Quantum Information – Quantum Noise and Error

by ComputingNotes
Book Quantum Computation and Quantum Information, Nielson and Chuang. Cambridge, Page 353 and Page426 Systems can be either closed or open sytems. All systems somehow have to interact with outside environment. These unwanted interactions from outside world can introduce noie to the information processing system.

WordNet?

by ComputingNotes
https://wordnet.princeton.edu https://direct.mit.edu/books/edited-volume/1928/WordNetAn-Electronic-Lexical-Database Wordnet is a lexical database for English.

Calculus – Application of Derivatives

by ComputingNotes
Book calculus by Thomas/Finney, 9th Edition, Page 189 Derivatives can be used to analyze the behaviour of functions and solve practical optimization problems. Max-Min Theorem relates to existence of max and min value for a function $f4$ that is continous at every point of closed interval I. Absoluted maxima and minima on a closed interval ... Read More

FL Algorithms FedAvg

by ComputingNotes
FedSGD – FedAVG H. B. McMahan, E. Moore, D. Ramage, S. Hampson, and B. A. y Arcas, “Communication-Efficient Learning of Deep Networks from Decentralized Data,” Jan. 26, 2023, arXiv: arXiv:1602.05629. doi: 10.48550/arXiv.1602.05629. In FedSGD, server sends current model $w_t$ to all devices and each device calculates the “slope” or gradient $g_k$ of its local data. ... Read More

Calculus – Derivatives

by ComputingNotes
Book Calculus by Thomas/Finney, 9th Edition, Page 109 Derivates is one of the most important concept in calculus. It measures the rate at which a function changes. It is defined actually as the limit of secant slopes which is the slope of curve at a point. Derivative of the funtion $f$ with respect to variable ... Read More
error: