Calculus – Application of Derivatives ii
Book Calculus by Thomas/Finney, 9th Edition, Page 205 Function’s critical points, local extreme values. How to test for local extreme values. At left and right endpoints? Graphing
Notes
Calculus – Application of Derivatives
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
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
Statistics – Introduction to Graphs
Book – Statistics an Introduction, 4th Edition, Roger E. Kirk, Page 42 Shapes of distributions.
Calculus – Derivatives
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
Calculus – Limits and Continuity
Book Calculus by Thomas/Finney, 9th Edition; Page 51 Limit: One of the main concept that differentiates calculus with algebra and trigonometry (page 51). Core concepts: limit, limits to describe how different functions changes or varies (continuously or erratically), how limits can be used to define tangent lines to the graph of the functions, derivative of ... Read More
Calculus – Trignometric Functions
Book: Calculus by Thomas/Finney. 9th Edition Radian is a unit of measurment. In calculus, angle is measured in radian. (Navigation and astronomy uses degrees for angles) – page 35 Radian measure $\theta$ is given by $\frac{s}{r}$ wher $s$ is arc length AB and $r$ is the radius. Six basic trigonometric functions. Some other functions. For ... Read More
Federated Learning Algorithm Averaging Methods FedAvgM, FedProx, FedAvg
FedAvg: https://arxiv.org/abs/1602.05629 __________________________________________________________________________________________________________ FedAvgM: https://arxiv.org/pdf/1909.06335 stands for Federated Averaging with Server Momentum. It is an upgrade to the original FedAvg algorithm designed specifically to solve the “Client Drift” problemwhere the model gets confused because different users have very different data (Non-IID). The Formula: How it works mathematically The FedAvgM update happens in three steps on ... Read More
Introduction to statistics
Book: Statistics – An Introduction (4th Edition) – Roger E. Kirk What is statistics? Why statistics? Basic Concepts Terms: Types of Statistics: Descriptive and Inferential Random Sampling – draw sample from population; chance of drawing sample has equal chance Characteristics: Variable and Constant Measurment: Assign number to characteristics of people etc.
Deutsch’s Algorithm
https://quantum.cloud.ibm.com/learning/en/courses/fundamentals-of-quantum-algorithms/quantum-query-algorithms/deutsch-algorithmhttps://en.wikipedia.org/wiki/Deutsch%E2%80%93Jozsa_algorithm Implementaion link: https://github.com/computingnotes/QuantumAlgorithmsUsingQiskit/blob/main/deutsch_algorithm_using_qiskit.ipynbGitHub: https://github.com/computingnotes deutsch_algorithm_using_qiskit (1) Source: https://quantum.cloud.ibm.com/learning/en/courses/fundamentals-of-quantum-algorithms/quantum-query-algorithms/deutsch-algorithm Deutsch’s Algorithm Implementation in Qiskit¶ In [45]: # --- 1. Installation and Setup --- # Install necessary libraries silently !pip install qiskit qiskit_aer pylatexenc -q In [46]: from qiskit import QuantumCircuit from qiskit_aer import AerSimulator In [47]: # Imports from qiskit import QuantumCircuit from qiskit_aer import AerSimulator from typing ... Read More