The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture by Riccardo March, Giovanni Lancioni, Gianpietro Del Piero

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Development of a numerical method for solving optimization problems approximation of the function given approximately and its derivatives based on the variational approach by Igor Naats, Victoria Igorevna Naats, Elena Yartseva

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Boundary integral equation methods for Lipschitz domains in linear elasticity by Le Louër, Frédérique

“…A review of stable boundary integral equation methods for solving the Navier equation with either Dirichlet or Neumann boundary conditions in the exterior of a Lipschitz domain is presented. …”
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A Novel Variational Bayesian Method Based on Student’s <i>t</i> Noise for Underwater Localization by Haoqian Huang, Yutong Zhang, Chenhui Dong

“…In underwater environments, the presence of multipath effects can cause measurement outliers in acoustic sensors, leading to reduced estimation accuracy for integrated navigation. To address this issue, this paper proposes a sliding window variational Kalman filter based on Student’s <i>t</i>-distribution (SWVKF-ST) to improve state estimation accuracy. …”
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A novel unified variational finite difference (VFD) solution method for optimal control problems by Amir Norouzzadeh, Nader Nariman-zadeh, Reza Ansari

“…To do so, the general form of quadratic performance index function and nonlinear state equations are considered first. Then, the idea of variational differential quadrature method is used to convert the integral/differential equations to the equivalent algebraic form. …”
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Investigation of patterns of variation in water quality indicators of the Iset River with the use of neuronet methods by Oleg M. Rosenthal, Vladislav K. Fedotov

MSVMD-Informer: A Multi-Variate Multi-Scale Method to Wind Power Prediction by Zhijian Liu, Jikai Chen, Hang Dong, Zizhuo Wang

“…Wind power prediction plays a crucial role in enhancing power grid stability and wind energy utilization efficiency. Existing prediction methods demonstrate insufficient integration of multi-variate features, such as wind speed, temperature, and humidity, along with inadequate extraction of correlations between variables. …”
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MGV-seq: a sensitive and culture-independent method for detecting microbial genetic variation by Lun Li, Weiyu Kong, Jing Sun, Yongzhong Jiang, Tiantian Li, Zhihui Xia, Junfei Zhou, Zhiwei Fang, Lihong Chen, Shun Feng, Huiyin Song, Huafeng Xiao, Baolong Zhang, Bin Fang, Hai Peng, Hai Peng, Lifen Gao, Lifen Gao

“…To address these challenges, we developed MGV-Seq, an innovative culture-independent approach that integrates multiplex PCR, high-throughput sequencing, and bioinformatics to analyze multiple dispersed nucleotide polymorphism (MNP) markers, enabling high-resolution strain differentiation.MethodsUsing Xanthomonas oryzae as a model organism, we designed 213 MNP markers derived from 458 genome assemblies. …”
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Method based on contrastive incremental learning for fine-grained malicious traffic classification by Yifeng WANG, Yuanbo GUO, Qingli CHEN, Chen FANG, Renhao LIN, Yongliang ZHOU, Jiali MA

“…In order to protect against continuously emerging unknown threats, a new method based on contrastive incremental learning for fine-grained malicious traffic classification was proposed.The proposed method was based on variational auto-encoder (VAE) and extreme value theory (EVT), and the high accuracy could be achieved in known, few-shot and unknown malicious classes and new classes were also identified without using a large number of old task samples, which met the demand of storage and time cost in incremental learning scenarios.Specifically, the contrastive learning was integrated into the encoder of VAE, and the A-Softmax was used for known and few-shot malicious traffic classification, EVT and the decoder of VAE were used for unknown malicious traffic recognition, all classes could be recognized without a lot of old samples when learning new tasks by using VAE reconstruction and knowledge distillation methods.Experimental results indicate that the proposed method is efficient in known, few-shot and unknown malicious classes, and has greatly reduced the forgetting speed of old knowledge in incremental learning scenarios.…”
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Methods for Designing High-Precision Relaxation Oscillator by Zhibo Huang, Kunpeng Xu, Hongguang Dai, Zhanxia Wu, Xiaopeng Yu, Guoqiang Zhang

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A Numerical Method Based on the Parametric Variational Principle for Simulating the Dynamic Behavior of the Pantograph-Catenary System by Dongdong He, Qiang Gao, Wanxie Zhong

“…Based on the finite element method (FEM), the parametric variational principle (PVP) is combined with a numerical time-domain integral method to simulate the dynamic behavior of the pantograph-catenary system. …”
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Numerical Analysis for a Class of Variational Integrators by Yihan Shen, Yajuan Sun

“…To achieve this, we develop new variational integrators through Lagrangian splitting and prove their equivalence to composition methods. …”
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Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology by Marwan Abukhaled

“…The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. …”
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Novel cancer subtyping method guided by tumor-normal sample in latent space of transcriptomic variational autoencoder by Hongzhi Wang, Yu Zhang, Dandan Zhang, Min Luo

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Integrating agent-based models and clustering methods for improving image segmentation by Erik Cuevas, Sonia Jazmín García-De-Lira, Cesar Rodolfo Ascencio-Piña, Marco Pérez-Cisneros, Sabrina Vega

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Integrated Investigation of the Time Dynamics of Forest Fire Sequences in Basilicata Region (Southern Italy) by Luciano Telesca, Rosa Lasaponara

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Evaluation and prediction of coal seam mining mode: Coefficient of Variation-TOPSIS and CNN-NGO methods by Haixiong Li, Fei Wang

“…This study explores and validates an integrated evaluation system that enhances the accuracy of predicting coal seam mining mode by comparing traditional evaluation methods with machine-learning techniques. …”
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Variations in Gut Microbiome Profiles Based on Different DNA Extraction Methods: A Comparative Study by Yameng Liu, Xianchun Zhong, Yibin Wang, Kanglong Wang, Cuina Li, Xinyu Liang, Suqin Lin, Ru Zhou, Cen Xie

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The evaluation of a definite integral by the method of brackets illustrating its flexibility by Gonzalez Ivan, Santander John Lopez, Moll Victor H.

“…This article illustrates the method by evaluating an integral by several variations of the method. …”
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Introduction and application of a drive-by damage detection methodology for bridges using variational mode decomposition by Shahrooz Khalkhali Shandiz, Hamed Khezrzadeh, Saeed Eftekhar Azam

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