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Full-Text Articles in Physical Sciences and Mathematics
Non-Local Approximation Properties, Kira Pierce
Non-Local Approximation Properties, Kira Pierce
Fall Showcase for Research and Creative Inquiry
This project concerns the approximation properties of a given set where X is a scattered sequence and Ï•(x) = 1/x* ln(1 + x^2 ). Similar approximation sets are commonly used in interpolation problems and are especially helpful due to their Fourier representation. For our work, we will work to prove the following theorem.
Excursions In Summation, Brock Erwin
Excursions In Summation, Brock Erwin
Fall Showcase for Research and Creative Inquiry
Using polynomials from series representation of functions to approximate other functions on the closed interval from [-1,1].
Making Artificial Cips Data With A Generative Adversarial Neural Network, Austin Hedges
Making Artificial Cips Data With A Generative Adversarial Neural Network, Austin Hedges
Fall Showcase for Research and Creative Inquiry
Polar mesospheric clouds (PMCs) have been studied for thirteen years by NASA's Aeronomy of Ice in the Mesosphere (AIM) satellite. The Cloud Imaging and Particle Size (CIPS) instrument onboard AIM has taken many images of PMCs over this time. Such a large number of images makes CIPS data ideal for training neural networks which require large datasets. CIPS images were used to train a Generative Adversarial Network (GAN) to train towards being able to generate purely artificial CIPS-like images.
Non-Local Approximation, Iris Hammond
Non-Local Approximation, Iris Hammond
Fall Showcase for Research and Creative Inquiry
Using previous research done by Dr. Ledford, we investigated interpolation techniques with various multi-quadric kernels. Ultimately, we extended a previous Lemma for polynomials of degree M+1.