A New Way To See Life’s Hidden Chemistry: $10 Spectrometer Could Turn Wearables Into Personal Health Labs

Researchers have developed a compact, low-cost convolutional spectrometer that delivers lab-grade precision for applications ...
GitHub

Trainable Fractional Fourier Transform

A differentiable fractional Fourier transform (FRFT) implementation with layers that can be trained end-to-end with the rest of the network. This package provides implementations of both fast ...
PNAS

Convolution identities for divisor sums and modular forms

Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...
Scientific Research Publishing

Modeling a Periodic Signal Using Fourier Series ()

This paper covers the concept of Fourier series and its application for a periodic signal. A periodic signal is a signal that repeats its pattern over time at regular intervals. The idea inspiring is ...
PNAS

Homophily modulates double descent generalization in graph convolution networks

Graph neural networks (GNNs) have been applied with great success across science and engineering, but we do not understand why they work so well. Motivated by experimental evidence of a rich phase ...
C&EN

Phase Quantification of Heterogeneous Surfaces Using DFT-Simulated Valence Band Photoemission Spectra

Department of Chemistry, UCL (University College London), 20 Gordon Street, London WC1H 0AJ, U.K. Department of Chemistry, Institute of Environmental Studies and Natural Resources (i-UNAT, FEAM), ...
Frontiers

Multi-Dimensional Enhanced Seizure Prediction Framework Based on Graph Convolutional Network

In terms of seizure prediction, how to fully mine relational data information among multiple channels of epileptic EEG? This is a scientific research subject worthy of further exploration. Recently, ...
IEEE

Frequency-Domain Signal Processing for Spectrally-Enhanced CP-OFDM Waveforms in 5G New Radio

Abstract: Orthogonal frequency-division multiplexing (OFDM) has been selected as the basis for the fifth-generation new radio (5G NR) waveform developments. However, effective signal processing tools ...