golem.ph.utexas.edu

Tutte Polynomials and Magnitude Functions

Last summer in Barcelona, Joachim Kock floated the idea that there might be a connection between two invariants of graphs: the Tutte polynomial and the magnitude function. Here I’ll explain what these ...
GitHub

Graph plotter of Polynomial functions

For y= a0.x^0 + a1.x^1 + a2.x^2 + ..... + aN.x^N We input a polynomial function as: a0,a1,a2,a3,.....,aN For example, If we want a graph of y= x^3 + 4x^2 + 5 we feed in the values: 5,0,4,1 then input ...
Nature

Algorithmic Complexity and Polynomial Threshold Functions

Algorithmic complexity, a cornerstone of theoretical computer science, examines the intrinsic resource requirements of computational problems and the limits of what can be efficiently computed. Within ...
IEEE

The Bethe Partition Function and the SPA for Factor Graphs based on Homogeneous Real Stable Polynomials

Abstract: Various computational problems can be reduced to computing the marginals and the partition function of a suitably defined standard factor graph (S-FG). The sum-product algorithm (SPA) is an ...
Monash University

Polynomials and power functions

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...
GitHub

Polynomial Graph in PHP

A simple application made to visualise a polynomial function for a possibly having a maximum power of three. Any lower down to y = 0 will work as well. This is a project made for the university I am ...
marktechpost

Waymo and Google Researchers Propose a Simple Framework, called PolyLoss, to View and Design Loss Functions as a Linear Combination of Polynomial Functions

This Article Is Based On The Research 'POLYLOSS: A POLYNOMIAL EXPANSION PERSPECTIVE OF CLASSIFICATION LOSS FUNCTIONS'. All Credit For This Research Goes To The Researchers Of This Paper 👏👏👏 Please ...
Analytics India Magazine

Maclaurin & Taylor Series: Simplifying Complex Functions To Polynomials

In this article, we will see how the Taylor series can help us simplify functions like cos(θ) into polynomials for ease of computation. How do you define Taylor Series? Taylor series is a modified ...
IEEE

Almost Tight Spectral Graph Wavelets With Polynomial Filters

Abstract: The construction of spectral filters for graph wavelet transforms is addressed in this paper. Both the undecimated and decimated cases will be considered. The filter functions are ...