Article
Mathematics, Applied
Majid Amirfakhrian, Faramarz Samavati
Summary: This paper presents the construction of ellipsoidal neighborhoods for meshless interpolation and approximation methods, which allows for easier identification of local data trends and provides advantages over current methods.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Feng Ding
Summary: Least squares is an important method used for solving linear fitting and quadratic optimization problems. This paper explores the properties of least squares methods and multi-innovation least squares methods, and demonstrates important contributions in the area of system identification such as auxiliary model identification, multi-innovation identification theory, hierarchical identification principle, coupling identification concept, and filtering identification idea. The results of least squares and multi-innovation least squares algorithms for linear regressive systems with white noises can be extended to systems with colored noises.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Biochemistry & Molecular Biology
Elysia Saputra, Amanda Kowalczyk, Luisa Cusick, Nathan Clark, Maria Chikina
Summary: Evolutionary comparative methods aiming to identify associations between traits or between traits and genotypes are often influenced by confounding factors, leading to potentially inaccurate conclusions using standard statistical analyses. Phylogenetic permulations offer a novel statistical strategy that improves the statistical power of phylogenetic analyses, correctly calibrates confidence in rejecting complex null distributions, and enhances the enrichment of known functions related to the phenotype.
MOLECULAR BIOLOGY AND EVOLUTION
(2021)
Article
Spectroscopy
Masoumeh Valaee, Mahmoud Reza Sohrabi, Fereshteh Motiee
Summary: In this study, two chemometrics methods, PLS and LS-SVM, were used to determine the content of zidovudine (ZDV) and lamivudine (LMV) in synthetic mixtures and anti-HIV pharmaceutical formulation. The results showed that both methods achieved accurate determination of the two components with good recovery rates. The comparison with HPLC as a reference technique demonstrated the reliability of the chemometrics approaches for routine analysis and quality control of the drug.
SPECTROCHIMICA ACTA PART A-MOLECULAR AND BIOMOLECULAR SPECTROSCOPY
(2023)
Article
Geosciences, Multidisciplinary
Shahzad Hussain, Sajjad Haider Bhatti, Tanvir Ahmad, Muhammad Ahmed Shehzad
Summary: The article evaluates least-squares-based approaches for estimating parameters of the two-parameter Pareto distribution. Results indicate that RLS performs the best among regression-based methods for all sample sizes, and the mean rank method outperforms others in generating CDF.
Article
Forestry
Michael S. Watt, David J. Palmer, Ellen Mae C. Leonardo, Maxime Bombrun
Summary: Site productivity indices have been widely used to describe age-normalized height and volume of forest species. In this study, a variety of modeling methods were used to predict Site Index and 300 Index for Pinus radiata D. Don, with non-parametric models like eXtreme Gradient Boosting and random forest outperforming parametric and geospatial models. The use of regression kriging improved prediction accuracy, especially for parametric models, and an ensemble model combining predictions from random forest, XGBoost, and regression model provided the most precise predictions for both Site Index and 300 Index.
FOREST ECOLOGY AND MANAGEMENT
(2021)
Article
Chemistry, Analytical
Woosung Hwang, Hongje Jang, Myungryul Choi
Summary: Drones are being widely used but detecting them for defense or security purposes is challenging due to their small size and plastic materials. This paper proposes a radar system that can collect high-resolution data to accurately determine the position of a drone. However, the collected data contains clutter and noise, which needs to be suppressed and canceled. Four clutter cancellation algorithms are evaluated and compared, with the proposed algorithm combining standard deviation with the least mean squares method. Outdoor experiments are conducted to measure and compare the performance of these algorithms.
Article
Mathematics, Applied
Bjorn Engquist, Yunan Yang
Summary: Full-waveform inversion is a standard process for seismic imaging inverse problems, using PDE-constrained optimization to determine unknown geophysical parameters. Introducing the Wasserstein metric can help mitigate cycle skipping and improve inversion accuracy.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2022)
Article
Mathematics
Elena Serea, Mihai Penciuc, Marinel Costel Temneanu, Codrin Donciu
Summary: This paper presents a new method for measuring distance using a single video camera, which improves the reliability of the system. The distance between the camera and the object of interest is determined by minimizing the least squares deviation of current sharpness values from calibrated sharpness values.
Review
Engineering, Mechanical
Randall J. Allemang, Rohit S. Patwardhan, Murali M. Kolluri, Allyn W. Phillips
Summary: This paper outlines various FRF estimation techniques and compares algorithms that compute FRF using different methods. It also discusses inconsistencies in some conditioned coherence metrics and provides corrected interpretations.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Mathematics, Applied
Pingping Zhang, Qun Wang
Summary: This paper investigates the MLSSTLS problem that combines MTLS and STLS problems, providing explicit expressions of the solution under certain conditions, conducting perturbation analysis and examining the condition numbers of the solution. Numerical experiments are performed to demonstrate the validity of the results, which can be connected to previously published findings on MTLS and STLS problems.
NUMERICAL ALGORITHMS
(2022)
Article
Computer Science, Interdisciplinary Applications
Suchuan Dong, Jielin Yang
Summary: This paper considers the use of extreme learning machines (ELM) for computational partial differential equations (PDE) and presents a method for computing the optimal or near-optimal value of R-m. The improved ELM outperforms the classical finite element method (FEM) in terms of computational performance, especially for larger problem sizes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Biochemical Research Methods
Ruoyu Tang, Xinyu He, Ruiqi Wang
Summary: The study presents a general computational method for constructing maps between different cell fates and parametric conditions by systematic perturbations. The method does not require accurate parameter measurements or bifurcations. The maps obtained can help in understanding how systematic perturbations drive cell fate decisions and transitions, providing valuable information for predicting and controlling cell states.
Article
Biochemistry & Molecular Biology
Devon A. DeRaad, Joseph D. Manthey, Emily N. Ostrow, Lucas H. DeCicco, Michael J. Andersen, Peter A. Hosner, Hannah T. Shult, Leo Joseph, John P. Dumbacher, Robert G. Moyle
Summary: Chalcophaps is a morphologically conserved genus of ground-walking doves distributed widely across a fragmented geographic region known for avian diversification. Through DNA sequence data, three major evolutionary lineages were identified, with evidence of discordant mitochondrial and nuclear ancestries in certain subspecies. Isolation by distance or hierarchical population structure was found within each species, highlighting the significant role of geography in the diversification of this genus.
MOLECULAR PHYLOGENETICS AND EVOLUTION
(2022)
Article
Optics
Yong -Mei Li, Hai -Ling Liu, Shi-Jie Pan, Su-Juan Qin, Fei Gao, Dong-Xu Sun, Qiao-Yan Wen
Summary: This paper proposes a complete quantum algorithm for the k-medoids algorithm, which utilizes quantum subroutines to improve the speed of cluster assignment and center update. Compared to existing algorithms, our quantum k-medoids algorithm achieves a polynomial speedup in large data sets.