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Analyzing important statistical features from facial behavior in human depression using XGBoost 使用XGBoost分析抑郁症患者面部行为的重要统计特征
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7916
Brilyan Nathanael, Rumahorbo, Kenjovan Nanggala, G. N. Elwirehardja, B. Pardamean
. Major Depressive Disorder (MDD) has been known as one of the most prevalent mental disorders whose symptoms can be observed from changes in facial behaviors. Previous studies had attempted to build Machine Learning (ML) models to assess depression severity using such features but few have utilized these models to determine key facial behaviors for MDD. In this study, we used video data to assess the severity of MDD and determine important features based on three approaches (XGBoost, Spearman’s correlation, and t-test). In addition, there is the Facial Action Coding System (FACS) framework that allows visual data such as changes in facial behavior to be modeled as time series data. The results show that the XGBoost model obtained the best results when trained using features selected through the t-test statistical method with 5.387 MAE, 6.266 RMSE, and 0.042 R 2 . The majority of the important features consist of Action Unit (AU) and Features 3D around the regions of the left eye, right cheek, and lip area. However, the majority of the important features discovered from the three approaches, are the first derivatives of the 3D facial landmark coordinates of the cheeks, eyes, and ∗ Corresponding
。重度抑郁症(MDD)是一种最常见的精神障碍,其症状可以从面部行为的变化中观察到。之前的研究试图建立机器学习(ML)模型,利用这些特征来评估抑郁症的严重程度,但很少有人利用这些模型来确定重度抑郁症的关键面部行为。在本研究中,我们使用视频数据来评估重度抑郁症的严重程度,并根据三种方法(XGBoost、Spearman’s correlation和t检验)确定重要特征。此外,还有面部动作编码系统(FACS)框架,该框架允许将面部行为变化等视觉数据建模为时间序列数据。结果表明,使用t检验统计方法选择的特征进行训练时,XGBoost模型的MAE为5.387,RMSE为6.266,r2为0.042,得到了最好的训练结果。大多数重要的特征由动作单元(AU)和3D特征组成,这些特征围绕着左眼、右脸颊和嘴唇区域。然而,从这三种方法中发现的大多数重要特征都是脸颊、眼睛和*对应的3D面部地标坐标的一阶导数
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引用次数: 3
A four-parameter negative binomial-Lindley regression model to analyze factors influencing the number of cancer deaths using Bayesian inference 采用贝叶斯推理建立四参数负二项-林德利回归模型,分析影响癌症死亡人数的因素
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7933
U. Tonggumnead, Kittipong Klinjan, Ekapak Tanprayoon, S. Aryuyuen
,
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引用次数: 1
The use of the binary spline logistic regression model on the nutritional status data of children 利用二元样条logistic回归模型对儿童营养状况数据进行分析
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7935
Anna Islamiyati, M. Zakir, Ummi Sari, Dewi Sartika, Salam
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,
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引用次数: 1
A mixed-effects joint model with skew-t distribution for longitudinal and time-to-event data: A Bayesian approach 纵向和事件时间数据的斜t分布混合效应联合模型:贝叶斯方法
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7940
M. M. Ferede, S. Mwalili, G. Dagne
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,
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引用次数: 0
A reliable numerical simulation technique for solving COVID-19 model 一种求解COVID-19模型的可靠数值模拟技术
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7959
Mahdi A. Sabea, M. A. Mohammed
. The nature of epidemiological models is characterized by randomness in their coefficients, while the classical or analytical and numerical methods deal with systems with fixed coefficients, which makes these methods inappropriate for solutions of epidemiological systems that have coefficients that change with time. For that, the numerical simulation methods that deal with time change are more appropriate than other ways. The aim of the research is to apply some of these methods to the COVID-19 system. Two efficient methods used for previous studies are used to solve this system, which are Monte Carlo Finite Difference Method and Mean Latin Hypercube Finite Difference Method. For the sake of comparison, a numerical method, the finite difference method, is used to solve this system. We have reached good results that give an analysis and impression of the behavior of the Covid 19 epidemic since its inception and predict its behavior for the next years. All results have been written in graphs and tabulated.
。流行病学模型的特点是其系数具有随机性,而经典方法或解析方法和数值方法处理的是固定系数的系统,这使得这些方法不适用于具有随时间变化的系数的流行病学系统的解。因此,处理时间变化的数值模拟方法比其他方法更合适。这项研究的目的是将其中一些方法应用于COVID-19系统。利用以往研究中常用的两种有效方法,即蒙特卡罗有限差分法和平均拉丁超立方有限差分法来求解该系统。为便于比较,本文采用有限差分法对该系统进行数值求解。我们已经取得了很好的结果,可以对Covid - 19流行病自开始以来的行为进行分析和印象,并预测其未来几年的行为。所有的结果都以图表和表格的形式写出来。
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引用次数: 0
The dynamics of a delayed ecological model with predator refuge and cannibalism 具有捕食者庇护和同类相食的延迟生态模型的动力学
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7988
R. M. Hussien, R. K. Naji
: This study has contributed to understanding a delayed prey-predator system involving cannibalism. The system is assumed to use the Holling type II functional response to describe the consuming process and incorporates the predator's refuge against the cannibalism process. The characteristics of the solution are discussed. All potential equilibrium points have been identified. All equilibrium points' local stability analyses for all time delay values are investigated. The system exhibits a Hopf bifurcation at the coexistence equilibrium, which is further demonstrated. The center manifold and normal form theorems for functional differential equations are then used to establish the direction of Hopf bifurcation and the stability of the periodic solution. To demonstrate the key findings, various numerical simulations are then run.
这项研究有助于理解涉及同类相食的延迟捕食系统。假设该系统使用Holling II型功能响应来描述消耗过程,并包含捕食者对同类相食过程的庇护。讨论了该溶液的特点。所有可能的平衡点都已确定。研究了各时滞值下各平衡点的局部稳定性分析。系统在共存平衡处表现出Hopf分岔,进一步证明了这一点。然后利用泛函微分方程的中心流形和范式定理,确定了Hopf分岔的方向和周期解的稳定性。为了证明关键的发现,然后运行各种数值模拟。
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引用次数: 0
Fractional mathematical model underlying mixed treatments using endocrine diet therapy and immunotherapy for breast cancer 内分泌饮食疗法和免疫疗法混合治疗乳腺癌的分数数学模型
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/8036
M. Elkaf, K. Allali
. To understand cancer as a biomathematical process, we establish our model to give an analytical and a numerical examination of the fractional derivative impact on developing breast cancer with endocrine diet therapy and immunotherapy. So, we try, in this paper, to formulate the cancer dynamics involving the normal cells, tumor cells, immune cells, estrogen (endocrine parameter) and immunotherapy. We show the wellposedness of the breast cancer model and we analyze the existence and the stability of the equilibria, then, we discuss the numerical results in order to conclude that the use of fractional derivatives provides more useful information about the stability of the breast cancer dynamics with mixed treatments model.
. 为了理解癌症是一个生物数学过程,我们建立了我们的模型,对内分泌饮食疗法和免疫疗法对乳腺癌发展的分数导数影响进行了分析和数值检验。因此,本文试图从正常细胞、肿瘤细胞、免疫细胞、雌激素(内分泌参数)和免疫治疗的角度来构建肿瘤动力学。本文首先证明了乳腺癌模型的适定性,分析了平衡点的存在性和稳定性,然后讨论了数值结果,从而得出分数阶导数的使用为乳腺癌混合治疗模型的动力学稳定性提供了更有用的信息。
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引用次数: 0
Delay in eco-epidemiological prey-predator model with predation fear and hunting cooperation 具有捕食恐惧和狩猎合作的生态流行病学捕食-捕食模型的延迟
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/8081
K. Q. Al-Jubouri, R. K. Naji, 𝑎, 𝐷, 𝑏
,
,
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引用次数: 0
Monkeypox mathematical model with surveillance as control 以监测为控制的猴痘数学模型
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7781
Uchenna Michael, L. Omenyi, Elebute Kafayat, E. Nwaeze, Offia Akachukwu, G. Ozoigbo, Monday Ekhator
. A compartmental mathematical model of the transmission dynamics of the monkeypox virus (MPXV) was developed and analyzed. The model incorporates proper surveillance and contact tracing as effective controls. The equilibrium states of the model were obtained and analyzed both locally and globally. The effective reproduction number, R m was obtained and the sensitivity of the model parameters were studied using R m as the threshold of transmission. When the infection becomes endemic, R m (cid:117) 1 , the model exhibits a backward bifurcation but R m < 1 which means that the interventions tend to MPXV containment. Numerical simulations to bespeak our findings and discussions are provided. Our result shows that surveillance and contact tracing are effective for the containment of MPXV in the absence of a perfect vaccine.
。建立并分析了猴痘病毒(MPXV)传播动力学的区室数学模型。该模型将适当的监测和接触者追踪作为有效的控制措施。得到了模型的局部和全局平衡状态,并对其进行了分析。得到了有效繁殖数R m,并以R m作为传播阈值,研究了模型参数的敏感性。当感染成为地方病时,R m (cid:117) 1,模型呈现向后分叉,但R m < 1,这意味着干预措施倾向于抑制MPXV。数值模拟说明了我们的发现和讨论。我们的研究结果表明,在没有完美疫苗的情况下,监测和接触者追踪对遏制MPXV是有效的。
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引用次数: 2
Spline and kernel mixed estimators in multivariable nonparametric regression for dengue hemorrhagic fever model 登革出血热模型多变量非参数回归的样条和核混合估计量
IF 1.3 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.28919/cmbn/7790
A. Dani, Meirinda Fauziyah, M. N. Hayati, Sri Wahyuningsih, Surya Prangga
: This article discusses statistical innovations implemented in the health sector. The research is being conducted on the treatment and prevention of Dengue Hemorrhagic Fever (DHF), focusing on the factors contributing to the increase in DHF. Create a nonparametric regression model with a mixed estimator, truncated spline
:本文讨论在卫生部门实施的统计创新。正在进行关于登革出血热(DHF)治疗和预防的研究,重点是导致登革出血热增加的因素。创建一个非参数回归模型与混合估计,截断样条
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引用次数: 1
期刊
Communications in Mathematical Biology and Neuroscience
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