ML Algorithms: Spectral Clustering in Detail

Prerequisites: K-means clustering Spectral clustering is an evolving clustering algorithm that outperforms many traditional clustering algorithms in many cases. It treats each data point as a graph node, thus transforming the clustering problem into a graph partitioning problem. A typical implementation consists of three basic steps: To build a similarity map: This step constructs a similarity map in the form…

Clock Problem: Find out the angle between the clock hands

Problems in clocks usually involve finding the angle between the hour and minute hands, the number of times the two hands coincide, etc. Sample questions Problem 1: Find the angle between the hands of the clock at 3:20 p.m. Solution: At 3:00 PM, the angle of the minute hand = 0 degrees, the angle of…

Algorithm design: modulo inverse from 1 to nv

Given a positive integer n, find all integers from 1 to n with respect to the larger prime number (e.g. “prime”) as the inverse of modulo multiplication. The modulo inverse of a is the integer ” x”, such as. Example: A simple solution Find the inversion of each number one by one. C ++ Java Python3…

High-level data structures: A detailed explanation of K-ary heap principles and implementation code

Prerequisites – Binary piles The K-ary heap is a generalization of the binary heap (K = 2), where each node has K child nodes instead of 2 child nodes. Just like the binary pile, it has two properties: 1) Almost complete binary tree, with the largest number of nodes at all levels except the last node (padded from left…