Search · four archives
Search · four archives
18 papers · ranked by Valyu relevance
Aamna Amer, Emad K. Jaradat, Hamood Ur Rehman, Yakup Yildirim + 2 more
This article introduces new optical soliton solutions for a fractional version of the quadratic-cubic nonlinear Schrödinger equation that describes the transmission of optical pulses in fiber optic systems with superfast fibers. The solutions are obtained using the modified Sardar sub-equation method and the…
Authors not listed
While the method of manual inspection reliably produces correct results at the introductory level, it can often appear untidy and unintuitive and lacks teachable depth. This paper presents a novel alternative approach designed to achieve the same outcomes as manual inspection but with enhanced clarity. It serves as…
Kaitlynn Lilly, Thomas Trogdon
We develop a unified methodology that integrates spectral theory, Riemann-Hilbert problems, and inverse scattering theory for the construction and numerical evaluation of transform pairs associated with linear variable-coefficient partial differential equations. The approach combines analytical formulae with numerical…
Authors not listed
Temperature-programmed measurements such as thermogravimetry (TG) are routinely interpreted with Coasts-Redfern (CR) or isoconversional methods. Classical CR provides model-dependent activation energies (Ea) and pre-exponential factors (A) from a single heating ramp but relies on a global straight-line fit of…
Nanqing Sun, Didi Lu, Xinyao Yang, Hang Gao + 2 more
To enhance the monitoring and conservation efforts for China’s Class II endangered species, specifically the wild giant salamander and its ecosystems, this study addresses the urgent need to counteract the rapid decline of its wild population caused by habitat loss and insufficient surveillance. We present an…
Rafael Abreu, S. Durand, Jochen Kamm, Christine Thomas + 1 more
- 1 Institut de Physique du Globe de Paris, CNRS, Université de Paris, 75005 Paris, France - 2 Univ Lyon, UCBL, ENSL, UJM, CNRS, LGL-TPE, F-69622, Villeurbanne, France - 3 Geological Survey of Finland, Espoo, Findland - 4 Institut für Geophysik, Westfälische Wilhelms-Universität Münster, Münster, Germany - 5 Louisiana…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
Vicky Geneva Haney, Kamel Lahouel, Victor Rielly, Bruno M. Jedynak
Time series classification involves learning a mapping from a continuous, temporally ordered sequence of real-valued observations to a discrete response variable, like class labels. This task is fundamental in domains, including health monitoring, where the temporal structure of data is critical for accurate…
Cameron L. Williams
In this paper, we review the theory of the Fourier-Bessel transform. Many of the standard results for the Fourier-Bessel transform have become folklore results or predate modern functional analysis and rely on hard analysis proofs that miss the elegance of more modern machinery. This review aims to centralize some of…
Yunfan Chen, Qi Gao, Jinxing Ye, Yuting Li + 2 more
Title: Simple Summary Myocardial infarction is a major cause of deaths worldwide, and electrocardiograms (ECGs) are key to diagnosis. Current ECG analysis has limitations such as overlooking dynamic cardiac cycle changes, failing to capture both local and global heart activity features, and being trained on imbalanced…
Doaa Sami Khafaga, El-Sayed M. El-kenawy, Nima Khodadadi, Marwa M. Eid + 1 more
Image watermarking is an important extension of intellectual property protection that facilitates the identification and authentication of multimedia content. This paper aims to improve and optimize image watermarking techniques to ensure effective image protection regardless of image size or format. The proposed…
Sokol Gora, Erion Dervishi
Accurate biological classification often faces challenges from high-dimensional data and limited samples, leading to model overfitting and poor interpretability. This study introduces Directional Flow Embedding (DFE), a novel feature engineering and embedding method designed to overcome these issues. DFE transforms raw…
Andre Mas, Fatma Terzioglu, Ilse C. F. Ipsen
We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of…
David H. Nguyen, Michael Bruck, Jennifer M. Rosenbluth
This article explains how novel morphological features in cells and organoids can be quantified using the linearized compressed polar coordinates (LCPC) transform, a spatial algorithm that captures properties that traditional metrics, such as area, volume, and surface area, cannot. Best practices for shape orientation…
Dmitry A. Petrov, Dmitry N. Ivankov
Epistasis, a non-additive contribution of mutations to fitness, complicates genotype-to-phenotype prediction and is often confounded by nonlinearities in phenotype measurements. The Power Transform method, particularly Box-Cox, has been used to reduce epistasis in small, combinatorially complete datasets by linearizing…
Salvador Rodriguez-Sanz, Monica Hernandez
—This work proposes a multimodal diffeomorphic registration method using Neural Ordinary Differential Equations (Neural ODEs). Nonrigid registration algorithms exhibit tradeoffs between their accuracy, the computational complexity of their deformation model, and its proper regularization. In addition, they also assume…
Andrea Polo-Rodríguez, David R. Penas, Julio R. Banga
Parameter estimation is a central challenge in systems biology, particularly for large dynamic models described by nonlinear ordinary differential equations (ODEs). These global optimization problems exhibit landscapes which are topologically heterogeneous, often exhibiting a pathological mixture of stiff, smooth…
Nimai Sarkar, Mausumi Sen
This paper studies the transmission dynamics of influenza by using a fractional SIR (Susceptible-Infected-Removed) epidemic model with discrete delay to describe the short-term dynamics. The model includes history-dependent effects through Caputo fractional derivative and maturity delays, which are biologically…