22 papers · ranked by Valyu relevance
Daniel Walsken, Matthias Ehrhardt, Pavel Petrov
The split-step-Padé (SSP) method is widely used to model wave phenomena in various applications, including radio physics, optics and acoustics. In this method, the propagator of the one-way counterpart of the Helmholtz equation is computed through its Padé approximant and a finite-difference discretization of the…
Kevin Schäfers, Michael Günther
We propose a hierarchical splitting approach to differential equations that provides a design principle for constructing splitting methods for N-split systems by iteratively applying splitting methods for two-split systems. We analyze the convergence order, derive explicit formulas for the leading-order error terms…
Hidehiko Shishido, Takeshi Nishijima, Rasool Abedanzadeh
The measured coordinates of the left and right thenars were converted into an overhead view using a homographic transformation. For this method, homographic transformation, which converts image coordinates [px] into actual measurements [m], was utilized. Homographic transformation is an image processing technique that…
Sergio Blanes, Fernando Casas, Ander Murua
This overview is devoted to splitting methods, a class of numerical integrators intended for differential equations that can be subdivided into different problems easier to solve than the original system. Closely connected with this class of integrators are composition methods, in which one or several low-order schemes…
Victoria Guenter, Siqi Wei, Raymond J. Spiteri
Operator-splitting methods are widespread in the numerical solution of differential equations, especially the initial-value problems in ordinary differential equations that arise from a method-of-lines discretization of partial differential equations. Such problems can often be solved more effectively by treating the…
Gunther Schadow, Yulia Borodina, Victorien Delannée, Wolf-Dietrich Ihlenfeldt + 2 more
There are numerous formats and data models for describing reaction-related data. However, each offers only a limited coverage of the multitude of information that can be of interest to a broad user base in the context of chemical reactions. Structured Product Labeling (SPL) is a robust yet fairly light public XML…
Raymond J. Spiteri, Arash Tavassoli, Siqi Wei, A. I. Smolyakov
Operator splitting is a popular divide-and-conquer strategy for solving differential equations. Typically, the right-hand side of the differential equation is split into a number of parts that are then integrated separately. Many methods are known that split the right-hand side into two parts. This approach is…
Zoran Sukurma, Martin Schlipf, Moritz Humer, Amir Taheridehkordi + 1 more
AFQMC Calculations: Large Time Step Auxiliary-Field Quantum Monte Carlo Authors: ['Zoran Sukurma' 'Martin Schlipf' 'Moritz Humer' 'Amir Taheridehkordi' 'Georg Kresse'] We report modifications of the ph-AFQMC algorithm that allow the use of large time steps and reliable time step extrapolation. Our modified algorithm…
Riccardo Russo, Michele Ducceschi, Stefan Bilbao
This work is concerned with the Scalar Auxiliary Variable (SAV) method applied to geometrically nonlinear string models, focusing on the analysis of numerical convergence across various model formulations. An ODE system with a potential akin to that of the geometrically exact string is first analysed, providing both…
Sean Carr, Fatemeh Rasouli, Seok Hun Kim, Kyle B. Reed
Introduction Split-belt treadmill training has been used to assist with gait rehabilitation following stroke. This method modifies a patient’s step length asymmetry by adjusting left and right tread speeds individually during training. However, current split-belt training approaches pay little attention to the…
Qingquan Song, Mujia Ma, Hui Liu, Xiaobin Wei + 1 more
Objective: To quantify the effects of increasing the step length of the split squat on changes in kinematics, kinetics, and muscle activation of the lower extremity. Methods: Twenty male college students participated in the test (age: 23.9 ± 3.7, height: 175.1 ± 4.9). Data on kinematics, kinetics, and EMG were…
Jovan Žigić
Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation time. Optimization techniques are studied to improve either or both of these…
Husam Abdulnabi, J. Timothy Westwood
Machine Learning (ML) models may perform inconsistently on individual classes on nominal outputs or ranges on continuous outputs, collectively referred to here as bins. Models should be assessed through metrics that consider each bin individually, called bin metrics. Inconsistent model performance is often due to model…
Zijie Jin, Jason Isa, Samuel A. Burden, Kimberly A. Ingraham
Humans can adapt their gait to minimize energy cost when given sufficient exposure to novel energy landscapes. However, it remains unclear whether broad experience in one energy landscape is sufficient to initiate continuous optimization when encountering similar but distinct conditions. In this study, we used visual…
Shunit Olszakier, Wessal Hussein, Ronit Heinrich, Michael Andreyanov + 4 more
We assessed the feasibility of using stop-codons as means to obtain polycistronic expression in eukaryotic cells. We show robust bicistronic expression of different open reading frames (ORFs), when these are cloned in-sequence and simply separated by stop codons (in-or out-of-frame), in heterologous expression systems…
Yohsuke T. Fukai, Kyogo Kawaguchi
Particle tracking is an important step of analysis in a variety of scientific fields, and is particularly indispensable for the construction of cellular lineages from live images. Although various supervised machine learning methods have been developed for cell tracking, the diversity of the data still necessitates…
Juanru Guo, Simona Sarafinovska, Ryan A. Hagenson, Mark C. Valentine + 5 more
High-resolution spatial transcriptomics requires new computational methods to accurately assign transcripts to individual cells. We developed SMURF (Segmentation and Manifold UnRolling Framework), a novel, cross-platform, soft-segmentation algorithm that maps mRNAs from barcoded capture spots to nearby nuclei. SMURF…
Trevor Gokey, David L. Mobley
Molecular mechanics force fields require a chemical perception model to assign parameters to molecules. A recent advancement in force fields is the use of the SMARTS substructure query language as the perception model. Although it is straightforward to write SMARTS patterns to define new force field parameters, it is…
Yingqi Tian, Zhaoxuan Xie, Zhen Luo, Haibo Ma
Using the mixed precision strategy to optimize quantum chemistry codes has been proved promising in saving computational cost and maintaining chemical accuracy. Here, an efficient mixed-precision density matrix renormalization group (DMRG) scheme, containing a two-level mixed-precision hierarchy, is developed and…
Mamoru Ishii, Tomoaki Kinjo, Yohei Kondo, Kenta Terai + 3 more
Multiplexed live cell-labeling technologies are essential tools for investigating complex biological systems, yet existing approaches face limitations in achieving reliable discrimination of multiple cell populations. Here, we present color and intensity modulation with split fluorescent proteins for cell labeling…
Authors not listed
Today, machine learning models are employed extensively to predict the physicochemical and biological properties of molecules. Their performance is typically evaluated on in-distribution (ID) data, i.e., data originating from the same distribution as the training data. However, the real-world applications of such…
Mert Özkan, Viola Störmer
Spatial attention enables us to select regions of space and prioritize visual processing at the attended locations. Previous research has shown that spatial attention can be flexibly tuned to broader or narrower regions in space, and in some cases be split among multiple locations. Here, we investigate how attentional…