What is the Euclidean grid? What is a counterexample for this conjecture: Every multiple of 7 is an odd number? Describe all natural numbers n for which 3 n 2 n is divisible by 5 How many integers from 1 to 19999 have exactly 15 divisors?
Alice generates her RSA keys by selecting two primes: p=11 and q=13. The modulus is n=p×q=143. The totient is n ϕ(n)=(p−1)x(q−1)=120. She chooses 7 for her RSA public key e and calculates her RSA private key using the Extended Euclidean algorithm, which gives her 1...
The KNN algorithm operates on the principle of similarity or “nearness,” predicting the label or value of a new data point by considering the labels or values of its K-nearest (the value of K is simply an integer) neighbors in the training dataset. Consider the following diagram: In the...
Euclidean distance is most commonly used, which we’ll delve into more below. It's also worth noting that the KNN algorithm is also part of a family of “lazy learning” models, meaning that it only stores a training dataset versus undergoing a training stage. This also means that all the...
K-nearest neighbor is a simple algorithm that stores all available cases and classifies new data or cases based on a similarity measure. It is mostly used to classify a data point based on how its neighbors are classified. Here's what you need to know.
Imagevia Mediumshowing vector space dimensions. Similarity is often measured using Euclidean distance or cosine similarity. Vectors are huge, typically require specialized GPU-powered databases, and are expensive to scale while also being performant. Techniques such as HNSW (Hierarchical Navigable Small Wo...
Clustering is an unsupervised learning method that organizes your data in groups with similar characteristics. Explore videos, examples, and documentation.
A machine learning algorithm is a set of rules or processes used by an AI system to conduct tasks.
A basic type of problem that occurs throughout mathematics is the lifting problem: given some space that “sits above” some other “base” space due to a projection map , and some map from a third space into the base space , find a “lift” of to , that is to say a map such tha...
Lets say we have some equation ax+by = gcd(a,b) . I know that there are infinite number of tuples (x0,y0) such that a*x0 + b*y0 = gcd(a,b). But what is the upper bound on the values of x0 and y0 we get from the Extended Euclidean Algo?