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Fractional Online Learning Rate: Influence of Psychological Factors on Learning Acquisition. 分数在线学习率:心理因素对学习习得的影响。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-07-01
Aldo Ramirez-Arellano, Jose Maria Sigarreta Almira, Juan Bory Reyes

The quantification of learning acquisition in a blended and online course is still slightly explored from the complex systems lens. The fractional online learning rate (fOLR) using fractional integrals is introduced. The notion of fOLR is based on the nonlinearity of the individual students learning pathway network, built from Learning Management System log files. Several learning pathway networks from students that pass or fail the course were constructed. The Akaike information criterion shows that the minimum number of boxes to cover these networks follow a power-law model. Further analysis shows that the fOLR model and its parameters were significantly compared with the online learning rate model. Thus, the fOLR was computing power and delayed power models, inspired by the "law of practice." The results show that the fractional definition is a better model and has a nonlinear relationship with the overall grade. Also, engagement and disengagement mould the fOLR curve. It means that the student's performance is affected by the engagement, and it is necessary that they are encouraged to pay more effort and attention to the learning activities, and those activities need to be designed to be fun and pleasant to improve the learning achievements.

从复杂系统的角度来看,混合在线课程中学习习得的量化仍有待探索。介绍了基于分数阶积分的分数阶在线学习率。fOLR的概念是基于个体学生学习路径网络的非线性,建立在学习管理系统日志文件上。通过或不通过课程的学生构建了几个学习途径网络。赤池信息准则表明,覆盖这些网络的最小盒数遵循幂律模型。进一步分析表明,fOLR模型及其参数与在线学习率模型具有显著性差异。因此,fOLR是计算能力和延迟能力模型,受到“实践法则”的启发。结果表明,分数定义是一个较好的模型,并与整体等级呈非线性关系。此外,接触和脱离接触塑造了fOLR曲线。这意味着学生的表现受到参与的影响,需要鼓励他们在学习活动中付出更多的努力和关注,这些活动需要设计得有趣和愉快,以提高学习成果。
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引用次数: 0
Does a Cusp Catastrophe Explain the Relationship Between School Size and Academic Achievement? Evidence from the Kingdom of Saudi Arabia. 尖点突变能解释学校规模和学业成绩之间的关系吗?来自沙特阿拉伯王国的证据。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-07-01
Georgios Sideridis, Nayyaf Aljabri

The evidence regarding the relationship between school size and academic achievement is unequivocal as studies have provided support for both linear and nonlinear analytical means. Specifically, we hypothesized that the relationship between high school achievement as measured by the GPA and aptitude is best described by a cusp catastrophe model when simultaneously accounting for the contribution of school size. This hypothesis is based on the premise that as school size increases beyond a functionally optimal size, for a given level in the asymmetry variable (aptitude), high school students' achievement is expected to become discontinuous, erratic, and reach chaotic behavioral levels. Data were collected from 52,854 students who were educated in 547 schools in the Kingdom of Saudi Arabia. Using Cobb's conceptualization of the cusp catastrophe results indicated that school size defined as the number of students distorts the relationship between aptitude and GPA suggesting an optimal number of students associated with increases in achievement as a function of aptitude. This finding was also replicated using the student-to-teacher ratio as a bifurcation term. It is concluded that the role of school size is complex and requires the engagement of additional analytical methodologies.

关于学校规模和学业成绩之间关系的证据是明确的,因为研究为线性和非线性分析方法提供了支持。具体来说,我们假设,当同时考虑到学校规模的影响时,用GPA衡量的高中成绩和天赋之间的关系最好地用尖点突变模型来描述。这一假设的前提是,当学校规模超过功能最优规模时,对于不对称变量(天资)的给定水平,高中生的成绩预计会变得不连续、不稳定,并达到混乱的行为水平。数据收集自沙特阿拉伯王国547所学校的52,854名学生。利用Cobb的尖端灾难的概念,结果表明,学校规模定义为学生人数扭曲了天赋和GPA之间的关系,这表明作为天赋的函数,与成绩增长相关的最佳学生人数。使用学生与教师的比例作为分岔项,这一发现也得到了重复。结论是,学校规模的作用是复杂的,需要更多的分析方法的参与。
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引用次数: 0
Value of Modeling Violent Relationships. 模拟暴力关系的价值。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-07-01
David Katerndahl, Sandra Burge, Maria Del Pilar Montanez Villacampa, Johanna Becho, Jasmine Rodriguez

Intimate partner violence (IPV) is a scar on human society. Growing evidence demonstrates that relationships involving IPV and women's decisionmaking about violence represent complex phenomena, best studied as complex adaptive systems. Unfortunately, that complexity limits our ability to fully understand it. This paper presents findings from a series of agent-based models (ABMs) that were created from studies involving multiple time series of couples' daily reports of violence, perceptions and behaviors. To identify potential influencing variables, we modeled the impact that random stress and intentional behavior of the women could have on men's violence and stalking. ABM models of IPV noted the lack of violence at baseline without influence, and found that three variable parameters (Distance-Distance+, HerViolence-HerViolence+, Distance-Distance-) accounted for most patterns of violence development. Random stress and arguments had little effect and the nature of the alcoholviolence relationship remained unclear, however, her violence could increase his violence and stalking. One important difference between ABMs was the importance of the persistence of her concern about the effects of violence on children. Although only modeled in the second ABM, it proved critical to results. When modeling women's decision-making, her abstinence from arguments, alcohol use and violence had no effect on whether to seek help, take legal action or leave; random stress and her daily violence did not affect seeking counseling. However, daily arguments, forgiveness and heavy alcohol use did impact actiontaking, increasing counseling, legal action and leaving generally. The addition of catastrophe equations could alter these outcomes, resulting in more counseling but less legal action. In addition, children are very important when considering decision-making; concern for children affects violence while number of children affects decision-making. In conclusion, ABM can yield important insights into IPV and have clinical implications. It can provide greater understanding of the phenomenon and allow us to test the nature of correlations. (i.e., between alcohol use and violence). ABM can clarify the inherent complexity within violent couples and facilitate sense-making. Finally, it can allow clinicians to test interventions in vitro without risk to vulnerable women.

亲密伴侣暴力是人类社会的一道伤疤。越来越多的证据表明,涉及IPV和妇女对暴力的决策的关系是复杂的现象,最好作为复杂的适应系统来研究。不幸的是,这种复杂性限制了我们完全理解它的能力。本文介绍了一系列基于主体的模型(ABMs)的研究结果,这些模型是通过对夫妻日常暴力、观念和行为报告的多个时间序列进行研究而创建的。为了确定潜在的影响变量,我们模拟了随机压力和女性故意行为对男性暴力和跟踪行为的影响。IPV的ABM模型注意到在基线上没有暴力而不受影响,并发现三个可变参数(距离-距离+、HerViolence-HerViolence+、距离-距离-)解释了大多数暴力发展模式。随机的压力和争吵几乎没有影响,酒精暴力关系的性质尚不清楚,然而,她的暴力可能会增加他的暴力和跟踪。ABMs和ABMs之间的一个重要区别是,她始终关注暴力对儿童的影响。虽然只在第二个ABM中建模,但事实证明,它对结果至关重要。在为妇女的决策建模时,她不与人争吵、不酗酒和不使用暴力对是否寻求帮助、采取法律行动或离开没有影响;随机的压力和她的日常暴力并没有影响她寻求咨询。然而,日常争吵、原谅和大量饮酒确实会影响采取行动、增加咨询、采取法律行动和普遍离开。灾难方程式的加入可能会改变这些结果,导致更多的咨询,但更少的法律行动。此外,在考虑决策时,孩子是非常重要的;对儿童的关注影响暴力,而儿童人数影响决策。总之,ABM可以对IPV提供重要的见解,并具有临床意义。它可以让我们更好地理解这种现象,并允许我们测试相关性的本质。(即,在使用酒精和暴力之间)。ABM可以澄清暴力夫妻内在的复杂性,并有助于理解。最后,它可以让临床医生在体外测试干预措施,而不会给弱势妇女带来风险。
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引用次数: 0
Scaling Exponent of Human Gait: A Scoping Review. 人类步态的尺度指数:范围综述。
IF 0.6 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-07-01
Ana Paula Quixada, Denise Gomes de Castro, Jose Garcia Vivas Miranda

Nonlinear analysis such as detrended fluctuation analysis (DFA) and power spectrum density are often used to describe the gait motor behavior. This is an interdisciplinary effort to understand and evaluate human movement by the complexity field lenses. However, there are conflicting interpretations about the measures. For instance, the same alpha value could be a better adaptation or sign of pathology. Therefore, the purposes of this scope review are: to map scientific production in the application of the scaling exponent for gait and running analysis, identify the scaling methods used in these studies and the results interpretation, and identify knowledge gaps for future studies. Eleven methods and six metrics associated with them were found. Most of the papers use DFA and explain the results through hypotheses about the supraspinal influence and origin of long-range correlations, adaptability and stability during gait and running. Comparing studies and interpretations, we found a broad designation of terms for the same metric. This reflects the lack of agreement and language uniformity in this literature.

非线性分析如去趋势波动分析(DFA)和功率谱密度分析常用于描述步态运动行为。这是一个跨学科的努力,以理解和评估人类运动的复杂性场镜头。然而,对这些措施有相互矛盾的解释。例如,相同的α值可能是更好的适应或病理迹象。因此,本次范围回顾的目的是:绘制在步态和跑步分析中应用标度指数的科学成果,确定这些研究中使用的标度方法和结果解释,并为未来的研究确定知识空白。发现了11种方法和6个与之相关的指标。大多数论文使用DFA,并通过对步态和跑步过程中长距离相关性、适应性和稳定性的椎骨上影响和起源的假设来解释结果。比较研究和解释,我们发现相同度量的术语名称广泛。这反映了该文献中缺乏一致性和语言统一性。
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引用次数: 0
Nonlinear Dynamics and Positive Health: The Case of Menstruation and Menopause. 非线性动力学与积极健康:以月经和更年期为例。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-07-01
Paula Derry

This paper is a theoretical journey through possible ways that complexity research can contribute to health promotion, especially for under-standing, encouraging, and facilitating positive health. The concept of 'positive health' regards health as an actual state or independent dimension, not simply freedom from physical disease or the absence of a problem. The subjective aspect of positive health is often described with the concept of 'well-being.' Nonlinear paradigms have implications for health because they direct attention to different facts, dynamics, theories, and basic assumptions, and also because language, in both its denotative and connotative aspects, has the potential to influence health-promoting or undermining attitudes, self-attributions and narratives, all of which impact positive health. This is explored specifically for perimenopause and menopause. Our previous research provided evidence that the menstrual cycle, before and during perimenopause, is the output of a nonlinear system in a chaotic trajectory. This article explores implications of a nonlinear paradigm for understanding the science underlying menopause, interpretations of variability and linear causality, importance of system structure, interpretations of perimenopause and menopause as senescence and disorder, and resultant self-attributions about menopausal experience and the nature of midlife.

这篇论文是一个理论之旅,通过可能的方式,复杂性研究可以促进健康,特别是理解,鼓励和促进积极的健康。"积极健康"的概念将健康视为一种实际状态或独立层面,而不仅仅是没有身体疾病或没有问题。积极健康的主观方面通常用“幸福”的概念来描述。非线性范式对健康有影响,因为它们将注意力引向不同的事实、动态、理论和基本假设,也因为语言在其外延和内蕴方面都有可能影响促进或破坏健康的态度、自我归因和叙述,所有这些都影响积极的健康。这是专门针对围绝经期和绝经期的研究。我们之前的研究提供了证据,证明月经周期,在绝经前和围绝经期,是一个非线性系统在混沌轨迹中的输出。本文探讨了理解更年期科学的非线性范式的含义,对变异性和线性因果关系的解释,系统结构的重要性,将围绝经期和更年期解释为衰老和失调,以及由此产生的关于更年期经历和中年本质的自我归因。
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引用次数: 0
From Persian Calligraphy to Fractal Networks of Retinal Cells. 从波斯书法到视网膜细胞的分形网络。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-01-01
Saba Moslehi

In this short cover, I tell the story of my personal journey of becoming a scientist-artist and how Persian calligraphy artistry inspired me to convert the experimental data in the form of images of retinal cells into visually aesthetic artwork.

在这个简短的封面中,我讲述了我成为一名科学家艺术家的个人旅程,以及波斯书法艺术如何启发我将视网膜细胞图像形式的实验数据转换为视觉美学艺术品。
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引用次数: 0
Dynamic Markers for Chaotic Motion in C. elegans. 线虫混沌运动的动态标记。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-01-01
Susannah G Zhang, Anshul Singhvi, Kathleen M Susman, Harold M Hastings, Jenny Magnes

We describe the locomotion of Caenorhabditis elegans (C. elegans) using nonlinear dynamics. C. elegans is a commonly studied model organism based on ease of maintenance and simple neurological structure. In contrast to traditional microscopic techniques, which require constraining motion to a 2D microscope slide, dynamic diffraction allows the observation of locomotion in 3D as a time series of the intensity at a single point in the diffraction pattern. The electric field at any point in the far-field diffraction pattern is the result of a superposition of the electric fields bending around the worm. As a result, key features of the motion can be recovered by analyzing the intensity time series. One can now apply modern nonlinear techniques; embedding and recurrence plots, providing valuable insight for visualizing and comparing data sets. We found significant markers of low-dimensional chaos. Next, we implemented a minimal biomimetic simulation of the central pattern generator of C. elegans with FitzHugh-Nagumo neurons, which exhibits undulatory oscillations similar to those of the real C. elegans. Finally, we briefly describe the construction of a biomimetic version of the Izquierdo and Beer robotic worm using Keener's implementation of the Nagumo et al. circuit.

我们用非线性动力学来描述秀丽隐杆线虫(C. elegans)的运动。秀丽隐杆线虫是一种易于维持和神经结构简单的模式生物。传统的显微镜技术需要将运动限制在二维显微镜载玻片上,与之相反,动态衍射允许在三维中观察运动,作为衍射模式中单点强度的时间序列。远场衍射图样中任何一点的电场都是在蜗杆周围弯曲的电场叠加的结果。因此,可以通过分析强度时间序列来恢复运动的关键特征。现在可以应用现代非线性技术;嵌入和递归图,为可视化和比较数据集提供有价值的见解。我们发现了低维混沌的显著标志。接下来,我们利用FitzHugh-Nagumo神经元对秀丽隐杆线虫的中枢模式发生器进行了最小的仿生模拟,其表现出与真实秀丽隐杆线虫相似的波动振荡。最后,我们简要地描述了使用Keener实现的Nagumo等电路的仿生版本Izquierdo和Beer机器蠕虫的构建。
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引用次数: 0
Relational Fractal Dimension: From the Complexity of Psychological Interview to the Emergence of the Therapeutic Relationship. 关系分维:从心理访谈的复杂性到治疗关系的出现。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-01-01
Jacopo Biraschi

The psychological interview is a complex system which emerges from the interaction of its components, i.e., the patient and the psychologist; therefore, it is presumed to display a fractal structure whose dimension defines its level of complexity. This paper presents a pilot study for a new evaluative methodology of the fractal dimension in the psychological interview: the analysis of 4 psychological interviews led to the determination of their fractal dimension, defined by the amount of verbal content produced. The conversational turn-taking naturally established in the patient-psychologist dyad divides the verbatim transcripts of the sessions into Relational Verbal Units (RVU), whose sizes are determined by the number of words which composes them. It was observed that the distribution of the RVUs in a size/frequency graph follows a power law distribution, from which it was possible to assess the Relational Fractal Dimension (RFD) of the interviews. The values obtained range from a minimum of 1.39 to a maximum of 1.50, an indicative range of self-organized criticality. Recursion is the simple process behind complexity, and it defines fractal patterns; the fractal dimension of a system characterizes its level of complexity, and its application in psychotherapy describes the therapeutic relationship as a nonlinear dynamic system endowed with self-organization and self-similarity.

心理访谈是一个复杂的系统,是由其组成部分(即患者和心理医生)相互作用而产生的;因此,假定它是一种分形结构,其维数决定了它的复杂程度。本文提出了一种新的心理访谈分形维数评价方法的初步研究:通过对4个心理访谈的分析,确定了他们的分形维数,分形维数由产生的言语内容的数量来定义。在患者-心理学家二元组合中自然建立的会话回合将会话的逐字记录划分为关系言语单位(RVU),其大小由组成它们的单词数量决定。可以观察到,rvu在大小/频率图中的分布遵循幂律分布,从中可以评估访谈的关系分形维数(RFD)。获得的值范围从最小的1.39到最大的1.50,这是自组织临界的指示范围。递归是复杂性背后的简单过程,它定义了分形模式;系统的分形维数表征其复杂程度,其在心理治疗中的应用将治疗关系描述为一个具有自组织和自相似性的非线性动态系统。
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引用次数: 0
Terror and Voting Behavior of Turkey in 1986-2020. 1986-2020年土耳其的恐怖和投票行为。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-01-01
Melike E Bildirici, Fulya Ozaksoy Sonustun

This study investigated the existence of chaotic structure in voting behavior by considering non-economic and macroeconomic factors in Turkey during the period of 03.1986-01.2020. The chaotic structure among the analyzed variables was characterized by Lyapunov exponents that explore the chaotic dynamics of the series. Following, the effects of inflation, unemployment, economic growth and terror on party votes were analyzed by Fourier regression model. Then, the causality among the macroeconomic variables, terror and party groups was analyzed by the Granger causality method. According to our results, there is unidirectional causality from terror to all four party groups. In the context of macroeconomic variables, there is the evidence of bidirectional causality between conservative parties and inflation; unidirectional causality from inflation to center-right and center-left parties. There is no causality between nationalist parties and inflation. Furthermore, center-right and center-left parties have the evidence of no causality with unemployment while there is unidirectional causality from unemployment to conservative and nationalist parties. There is unidirectional causality from economic growth to conservative parties and bidirectional causality between center-right parties and economic growth. However, the center-left and nationalist parties are not the sources of Granger causality of economic growth, and there is no inverse Granger causality relationship between these variables. Therefore, it can be concluded that between the periods 03.1986-01.2020, there was no concern for economic growth in left-wing and nationalist-based parties in Turkey.

本研究通过考虑非经济因素和宏观经济因素,考察了1986年3月- 2020年1月期间土耳其投票行为中存在的混沌结构。被分析变量之间的混沌结构用Lyapunov指数来表征,该指数探索了序列的混沌动力学。其次,利用傅里叶回归模型分析通货膨胀、失业、经济增长和恐怖对政党投票的影响。然后,运用格兰杰因果关系分析宏观经济变量、恐怖主义和党组织之间的因果关系。根据我们的研究结果,从恐怖主义到所有四个党派都有单向的因果关系。在宏观经济变量的背景下,有证据表明保守党派与通货膨胀之间存在双向因果关系;从通货膨胀到中右翼和中左翼政党的单向因果关系。民族主义政党与通货膨胀之间没有因果关系。此外,中右翼和中左翼政党与失业之间没有因果关系,而失业与保守派和民族主义政党之间存在单向因果关系。经济增长与保守政党之间存在单向因果关系,中右翼政党与经济增长之间存在双向因果关系。然而,中左翼政党和民族主义政党并不是经济增长格兰杰因果关系的来源,这些变量之间不存在负格兰杰因果关系。因此,可以得出结论,在1986年3月至2020年1月期间,土耳其左翼和民族主义政党对经济增长没有关注。
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引用次数: 0
Complexity Regulation Competencies: A Naturalistic Framework. 复杂性监管能力:一个自然主义的框架。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2022-01-01
Michael Kimmel

This article presents a framework to describe how professional experts regulate complex adaptive systems (CAS), a skill found across bio-psychological, ecological, technical, and social contexts. The regulation aim is to facilitate and constrain the self-organization of a CAS; regulators engage in dynamic decision making while the system evolves. While many naive regulators are overtaxed when they encounter nonlinear and multi-causal dynamics, less is known about how experts perform. I argue that a rich set of competencies can make expert performance distinctive. The basic sensitivities for CAS that shape the general philosophy of practice and a role identity as process facilitators provide some foundation. Turning this into an applied skill set, however, additionally requires (a) the creation of mediating interfaces with a 'target' CAS, (b) interaction skills for exploring and stimulating the CAS, (c) the use of domain knowledge about the system's nature and structure for conceptualizing its state as well as dynamics, (d) the use of analogical reasoning, categories, heuristics, and models to make 'if-then' inferences from systemic problem constellations to holistic strategies, and (e) synoptic and meta-regulative capabilities that allow supervising the mix of deployed resources relative to the demands of ongoing task. These CAS regulation tools mesh in variable ways and can mutually amplify each other, i.e. synergize. Illustrations for the framework come from two somatic therapies (aka bodywork), the Shiatsu and Feldenkrais methods, in which therapists use manual techniques as a regulatory means to help their clients.

本文提出了一个框架来描述专业专家如何调节复杂适应系统(CAS),这是一种跨越生物心理、生态、技术和社会背景的技能。监管的目的是促进和约束CAS的自组织;随着系统的发展,监管机构参与动态决策。虽然许多天真的监管者在遇到非线性和多因果动态时负担过重,但对专家的表现却知之甚少。我认为,一套丰富的能力可以使专家的表现与众不同。CAS的基本敏感性塑造了实践的一般哲学和作为过程促进者的角色身份,这提供了一些基础。然而,将其转化为应用技能集,还需要(a)与“目标”CAS创建中介接口,(b)探索和刺激CAS的交互技能,(c)使用关于系统性质和结构的领域知识来概念化其状态和动态,(d)使用类比推理,类别,启发式和模型从系统问题星座到整体策略进行“如果-那么”推断。(e)能够监督相对于正在进行的任务需求的已部署资源的组合的概要和元管理能力。这些CAS调节工具以不同的方式相互啮合,可以相互放大,即协同增效。框架的例证来自两种身体疗法,指压疗法和费登奎斯方法,治疗师使用手动技术作为一种调节手段来帮助他们的客户。
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引用次数: 0
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Nonlinear Dynamics Psychology and Life Sciences
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