Abstract: Long-term time series forecasting presents a critical challenge across numerous application domains. Recently, various transformer-based models have been employed for this task; however, ...

Abstract: Linear compressor technology employed in refrigerator shows more energy-saving potentiality, for its compact design, high efficiency and excellent variable cooling capacity. The linear ...

We’ve seen many graphical and animated explainers for the Fourier series. We suppose it is because it is so much fun to create the little moving pictures, and, as a bonus, it really helps explain this ...

Abstract: I will describe an extension of a theorem of R. Coifman and Y. Meyer regarding bilinear pseudo-differential operators to bilinear Fourier integral operators ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

An objective method is developed for providing fast initial estimates and corresponding uncertainty of large macroeconomic indicators, including the aggregate gross domestic product (GDP). An ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

This repository contains the PyTorch implementation of the Periodic Linear Unit (PLU) activation function, as described in the paper "From Taylor Series to Fourier Synthesis: The Periodic Linear Unit" ...

The classical result of K. De Leeuw (Ann. Math., 1965) states that for 1 p ∞, given a continuous and bounded function which defines a Fourier multiplier on L^p, the sequence defined by its restriction ...