In this video, I demonstrate how to find the remaining roots of a polynomial function when one zero is given. We'll apply the synthetic division tutorial method along with factoring to efficiently ...

a notebook-first introduction to QSVT and QSP a reusable Python package for polynomial design, spectral transforms, and small PennyLane QSVT checks where the backend can synthesize the transform ...

A polynomial MLP represents the potential energy as a polynomial function of linearly independent polynomial invariants of the O(3) group. Developed polynomial MLPs are available in Polynomial Machine ...

I was recently mulling on FPGA implementations of short length Fast Fourier Transforms (roughly N=30 to 100) at work. My dilemma was I needed a potentially arbitrary number of these in a scalable ...

Decentralized Federated Learning improves data privacy and eliminates single points of failure by removing reliance on centralized storage and model aggregation in distributed computing systems.

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Hydrocarbons are ubiquitous as fuels, solvents, lubricants, and as the principal ...

Specialized function gradient computing hardware could greatly improve the performance of state-of-the-art optimization algorithms. Prior work on such hardware, performed in the context of Ising ...

ABSTRACT: In machines learning problems, Support Vector Machine is a method of classification. For non-linearly separable data, kernel functions are a basic ingredient in the SVM technic. In this ...

Most patients with congenital heart disease survive into adulthood; however, residual abnormalities remain and management of the patients is life-long and personalized. Patients with surgical repair ...

Abstract: A systematic understanding of the decomposability structures in network utility maximization is key to both resource allocation and functionality allocation. It helps us obtain the most ...