Results for 'Model Dynamics'

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  1. Concepts of chaos-the analysis of self-similarity and the relevance of the ethical dimension-a comment on Baker, Gregory, L. a'dualistic model of ultimate reality and meaning-self-similarity in chaotic dynamics and and swedenborg'.Sm Modell - 1994 - Ultimate Reality and Meaning 17 (4):310-315.
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  2.  17
    Modelling dynamic behaviour of agents in a multiagent world: Logical analysis of Wh-questions and answers.Martina Číhalová & Marie Duží - 2023 - Logic Journal of the IGPL 31 (1):140-171.
    In a multiagent and multi-cultural world, the fine-grained analysis of agents’ dynamic behaviour, i.e. of their activities, is essential. Dynamic activities are actions that are characterized by an agent who executes the action and by other participants of the action. Wh-questions on the participants of the actions pose a difficult particular challenge because the variability of the types of possible answers to such questions is huge. To deal with the problem, we propose the analysis and classification of Wh-questions apt for (...)
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  3.  90
    From a boson to the standard model Higgs: a case study in confirmation and model dynamics.Cristin Chall, Martin King, Peter Mättig & Michael Stöltzner - 2019 - Synthese 198 (Suppl 16):3779-3811.
    Our paper studies the anatomy of the discovery of the Higgs boson at the Large Hadron Collider and its influence on the broader model landscape of particle physics. We investigate the phases of this discovery, which led to a crucial reconfiguration of the model landscape of elementary particle physics and eventually to a confirmation of the standard model. A keyword search of preprints covering the electroweak symmetry breaking sector of particle physics, along with an examination of physicists (...)
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  4. Model dynamics : epistemological perspectives on science and its education.Michael Stoeltzner - 2011 - In Paul Humphreys & Cyrille Imbert (eds.), Models, Simulations, and Representations. Routledge.
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  5.  4
    Linguistic coordination: models, dynamics and effects.Riccardo Fusaroli & Kristian Tylén - 2013 - New Ideas in Psychology.
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  6. Coherence and correspondence in the network dynamics of belief suites.Patrick Grim, Andrew Modell, Nicholas Breslin, Jasmine Mcnenny, Irina Mondescu, Kyle Finnegan, Robert Olsen, Chanyu An & Alexander Fedder - 2017 - Episteme 14 (2):233-253.
    Coherence and correspondence are classical contenders as theories of truth. In this paper we examine them instead as interacting factors in the dynamics of belief across epistemic networks. We construct an agent-based model of network contact in which agents are characterized not in terms of single beliefs but in terms of internal belief suites. Individuals update elements of their belief suites on input from other agents in order both to maximize internal belief coherence and to incorporate ‘trickled in’ (...)
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  7.  20
    Dynamical Models: An Alternative or Complement to Mechanistic Explanations?David M. Kaplan & William Bechtel - 2011 - Topics in Cognitive Science 3 (2):438-444.
    Abstract While agreeing that dynamical models play a major role in cognitive science, we reject Stepp, Chemero, and Turvey's contention that they constitute an alternative to mechanistic explanations. We review several problems dynamical models face as putative explanations when they are not grounded in mechanisms. Further, we argue that the opposition of dynamical models and mechanisms is a false one and that those dynamical models that characterize the operations of mechanisms overcome these problems. By briefly considering examples involving the generation (...)
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  8. Modelling Belief Dynamics.Manuel Bremer - manuscript
    The following considerations concern modelling Belief Dynamics (BD) not just in the sense of a formalization, but rather in the sense of building a computational model and implementing the corresponding data structures and algorithms of recomputing beliefs. The purpose of such a project is to illustrate some ideas about belief changes in a Web of Beliefs (WoB) to explore and deepen one's understanding of belief changes by trying to implement or improve corresponding algorithms.
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  9.  14
    Dynamic Logics for Threshold Models and their Epistemic Extension.Zoé Christoff & Rasmus Kraemmer Rendsvig - unknown
    We take a logical approach to threshold models, used to study the diffusion of e.g. new technologies or behaviors in social net-works. In short, threshold models consist of a network graph of agents connected by a social relationship and a threshold to adopt a possibly cascading behavior. Agents adopt new behavior when the proportion of their neighbors who have already adopted it meets the threshold. Under this adoption policy, threshold models develop dynamically with a guaranteed fixed point. We construct a (...)
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  10.  11
    Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form.Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Romanic Kengne, Robert Tchitnga & Paul Woafo - 2017 - Complexity:1-12.
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  11.  18
    Static-Dynamic Hybridity in Dynamical Models of Cognition.Naftali Weinberger & Colin Allen - 2022 - Philosophy of Science 89 (2):283-301.
    Dynamical models of cognition have played a central role in recent cognitive science. In this paper, we consider a common strategy by which dynamical models describe their target systems neither as purely static nor as purely dynamic, but rather using a hybrid approach. This hybridity reveals how dynamical models involve representational choices that are important for understanding the relationship between dynamical and non-dynamical representations of a system.
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  12.  48
    The Neural Dynamics of Seeing-In.Gabriele Ferretti - 2019 - Erkenntnis 84 (6):1285-1324.
    Philosophers have suggested that, in order to understand the particular visual state we are in during picture perception, we should focus on experimental results from vision neuroscience—in particular, on the most rigorous account of the functioning of the visual system that we have from vision neuroscience, namely, the ‘Two Visual Systems Model’. According to the initial version of this model, our visual system can be dissociated, from an anatomo-functional point of view, into two streams: a ventral stream subserving (...)
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  13.  21
    The Neural Dynamics of Seeing-In.Gabriele Ferretti - 2019 - Erkenntnis 84 (6):1285-1324.
    Philosophers have suggested that, in order to understand the particular visual state we are in during picture perception, we should focus on experimental results from vision neuroscience—in particular, on the most rigorous account of the functioning of the visual system that we have from vision neuroscience, namely, the ‘Two Visual Systems Model’. According to the initial version of this model, our visual system can be dissociated, from an anatomo-functional point of view, into two streams: a ventral stream subserving (...)
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  14.  17
    Model-Theoretic Properties of Dynamics on the Cantor Set.Christopher J. Eagle & Alan Getz - 2022 - Notre Dame Journal of Formal Logic 63 (3):357-371.
    We examine topological dynamical systems on the Cantor set from the point of view of the continuous model theory of commutative C*-algebras. After some general remarks, we focus our attention on the generic homeomorphism of the Cantor set, as constructed by Akin, Glasner, and Weiss. We show that this homeomorphism is the prime model of its theory. We also show that the notion of “generic” used by Akin, Glasner, and Weiss is distinct from the notion of “generic” encountered (...)
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  15.  24
    The Explanatory Force of Dynamical and Mathematical Models in Neuroscience: A Mechanistic Perspective.David Michael Kaplan & Carl F. Craver - 2011 - Philosophy of Science 78 (4):601-627.
    We argue that dynamical and mathematical models in systems and cognitive neuro- science explain (rather than redescribe) a phenomenon only if there is a plausible mapping between elements in the model and elements in the mechanism for the phe- nomenon. We demonstrate how this model-to-mechanism-mapping constraint, when satisfied, endows a model with explanatory force with respect to the phenomenon to be explained. Several paradigmatic models including the Haken-Kelso-Bunz model of bimanual coordination and the difference-of-Gaussians model (...)
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  16.  14
    A Textbook of Belief Dynamics: Solutions to Exercises.Sven Ove Hansson - 1999 - Dordrecht, Netherland: Kluwer Academic Publishers.
    In the middle of the 1980s, logical tools were discovered that make it possible to model changes in belief and knowledge in entirely new ways. These logical tools turned out to be applicable both to human beliefs and to the contents of databases. This is the first textbook in this new area. It contains both discursive chapters with a minimum of formalism and formal chapters in which proofs and proof methods are presented. By using different selections from the formal (...)
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  17.  60
    The interrogative model of inquiry meets dynamic epistemic logics.Yacin Hamami - 2015 - Synthese 192 (6):1609-1642.
    The Interrogative Model of Inquiry and Dynamic Epistemic Logics are two central paradigms in formal epistemology. This paper is motivated by the observation of a significant complementarity between them: on the one hand, the IMI provides a framework for investigating inquiry represented as an idealized game between an Inquirer and Nature, along with an account of the interaction between questions and inferences in information-seeking processes, but is lacking a formulation in the multi-agent case; on the other hand, DELs (...) various operations of information change in multi-agent systems, but the field is lacking a proper integration of question and inference dynamics, along with an application to the investigation of inquiry processes. The goal of this paper is to integrate the two paradigms in such a way as to combine their respective insights. To this end, we develop a formal system called DEL $$_\mathrm{IMI }$$ IMI which aims to represent the interaction between question and inference dynamics in inquiry—as described by the IMI—in a multi-agent setting, and this in such a way as to enable an investigation of inquiry games with multi-agent dimensions. The DEL $$_\mathrm{IMI }$$ IMI system is designed to represent the possible moves of such inquiry games through three types of epistemic actions: agents addressing questions to Nature, agents addressing questions to other agents, agents drawing logical inferences. We then show how the resulting framework can be used to formally define multi-agent inquiry games. We conclude by evaluating the interest of the DEL $$_\mathrm{IMI }$$ IMI system for the IMI and DELs paradigms. (shrink)
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  18.  25
    The dynamic architecture of emotion: Evidence for the component process model.Klaus R. Scherer - 2009 - Cognition and Emotion 23 (7):1307-1351.
    Emotion is conceptualised as an emergent, dynamic process based on an individual's subjective appraisal of significant events. It is argued that theoretical models of emotion need to propose an architecture that reflects the essential nature and functions of emotion as a psychobiological and cultural adaptation mechanism. One proposal for such a model and its underlying dynamic architecture, the component process model, is briefly sketched and compared with some of its major competitors. Recent empirical evidence in support of the (...)
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  19.  15
    Model of Calcium Dynamics Regulating $$IP_{3}$$, ATP and Insulin Production in a Pancreatic $$\beta$$-Cell. Vaishali & Neeru Adlakha - 2024 - Acta Biotheoretica 72 (1):1-26.
    The calcium signals regulate the production and secretion of many signaling molecules like inositol trisphosphate ( $$IP_{3}$$ ) and adenosine triphosphate (ATP) in various cells including pancreatic $$\beta$$ -cells. The calcium signaling mechanisms regulating $$IP_{3}$$, ATP and insulin responsible for various functions of $$\beta$$ -cells are still not well understood. Any disturbance in these mechanisms can alter the functions of $$\beta$$ -cells leading to diabetes and metabolic disorders. Therefore, a mathematical model is proposed by incorporating the reaction-diffusion equation for (...)
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  20.  3
    Emergent models of supple dynamics in life and mind.Mark A. Bedau - 1997 - Brain and Cognition 34:5-27.
    The dynamical patterns in mental phenomena have a characteristic suppleness&emdash;a looseness or softness that persistently resists precise formulation&emdash;which apparently underlies the frame problem of artificial intelligence. This suppleness also undermines contemporary philosophical functionalist attempts to define mental capacities. Living systems display an analogous form of supple dynamics. However, the supple dynamics of living systems have been captured in recent artificial life models, due to the emergent architecture of those models. This suggests that analogous emergent models might be able (...)
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  21. Dynamical Models and Explanation in Neuroscience.Lauren N. Ross - 2015 - Philosophy of Science 82 (1):32-54.
    Kaplan and Craver claim that all explanations in neuroscience appeal to mechanisms. They extend this view to the use of mathematical models in neuroscience and propose a constraint such models must meet in order to be explanatory. I analyze a mathematical model used to provide explanations in dynamical systems neuroscience and indicate how this explanation cannot be accommodated by the mechanist framework. I argue that this explanation is well characterized by Batterman’s account of minimal model explanations and that (...)
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  22.  13
    Dynamics Versus Development in Numerosity Estimation: A Computational Model Accurately Predicts a Developmental Reversal.Dan Kim & John E. Opfer - 2021 - Cognitive Science 45 (10):e13049.
    Perceptual judgments result from a dynamic process, but little is known about the dynamics of number‐line estimation. A recent study proposed a computational model that combined a model of trial‐to‐trial changes with a model for the internal scaling of discrete numbers. Here, we tested a surprising prediction of the model—a situation in which children's estimates of numerosity would be better than those of adults. Consistent with the model simulations, task contexts led to a clear (...)
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  23.  4
    A Dynamic Context Model of Interactive Behavior.Wai-Tat Fu - 2011 - Cognitive Science 35 (5):874-904.
    A dynamic context model of interactive behavior was developed to explain results from two experiments that tested the effects of interaction costs on encoding strategies, cognitive representations, and response selection processes in a decision-making and a judgment task. The model assumes that the dynamic context defined by the mixes of internal and external representations and processes are sensitive to the interaction cost imposed by the task environment. The model predicts that changes in the dynamic context may lead (...)
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  24.  73
    Scientific modelling in generative grammar and the dynamic turn in syntax.Ryan M. Nefdt - 2016 - Linguistics and Philosophy 39 (5):357-394.
    In this paper, I address the issue of scientific modelling in contemporary linguistics, focusing on the generative tradition. In so doing, I identify two common varieties of linguistic idealisation, which I call determination and isolation respectively. I argue that these distinct types of idealisation can both be described within the remit of Weisberg’s :639–659, 2007) minimalist idealisation strategy in the sciences. Following a line set by Blutner :27–35, 2011), I propose this minimalist idealisation analysis for a broad construal of the (...)
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  25.  42
    Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis.Haokun Qi, Lidan Liu & Xinzhu Meng - 2017 - Complexity:1-14.
    We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. By constructing suitable stochastic Lyapunov functions and using Has’minskii theory, we prove that there exists at least one nontrivial positive periodic solution of the system. Moreover, the sufficient conditions for extinction of the disease are obtained by using the theory of nonautonomous stochastic differential equations. Finally, numerical simulations are utilized to illustrate our theoretical analysis.
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  26. Intentions: The Dynamic Hierarchical Model Revisited.Elisabeth Pacherie & Myrto Mylopoulos - 2019 - WIREs Cognitive Science 10 (2):e1481.
    Ten years ago, one of us proposed a dynamic hierarchical model of intentions that brought together philosophical work on intentions and empirical work on motor representations and motor control (Pacherie, 2008). The model distinguished among Distal intentions, Proximal intentions, and Motor intentions operating at different levels of action control (hence the name DPM model). This model specified the representational and functional profiles of each type of intention, as well their local and global dynamics, and the (...)
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  27.  15
    A Dynamic Perspective in Freeman’s Stakeholder Model.Yves Fassin - 2010 - Journal of Business Ethics 96 (S1):39-49.
    Stakeholder literature has acknowledged the need to complement the extant theory on stakeholder management by more dynamic perspectives. This article makes use of the recent terminology of stakewatcher and stakeseeker to illustrate the dynamic aspect of stakeholder theory transposed in the graphical representation of Freeman’s stakeholder model. Presenting a few selected case studies, it applies the scheme on the concept of value responsibility chain; it exemplifies the role of stakeseekers in various forms of activism, from shareholders, NGOs and government, (...)
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  28.  13
    Complex Dynamical Behavior of Holling–Tanner Predator-Prey Model with Cross-Diffusion.Caiyun Wang, Yongyong Pei, Yaqun Niu & Ruiqiang He - 2022 - Complexity 2022:1-14.
    Spatial predator-prey models have been studied by researchers for many years, because the exact distributions of the population can be well illustrated via pattern formation. In this paper, amplitude equations of a spatial Holling–Tanner predator-prey model are studied via multiple scale analysis. First, by amplitude equations, we obtain the corresponding intervals in which different kinds of patterns will be onset. Additionally, we get the conclusion that pattern transitions of the predator are induced by the increasing rate of conversion into (...)
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  29.  9
    Extending Dynamical Systems Theory to Model Embodied Cognition.Scott Hotton & Jeff Yoshimi - 2011 - Cognitive Science 35 (3):444-479.
    We define a mathematical formalism based on the concept of an ‘‘open dynamical system” and show how it can be used to model embodied cognition. This formalism extends classical dynamical systems theory by distinguishing a ‘‘total system’’ (which models an agent in an environment) and an ‘‘agent system’’ (which models an agent by itself), and it includes tools for analyzing the collections of overlapping paths that occur in an embedded agent's state space. To illustrate the way this formalism can (...)
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  30. Dynamical models of cognition.Marco Giunti - 1995 - In T. van Gelder & Robert Port (eds.), Mind As Motion. MIT Press. pp. 549-571.
     
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  31.  35
    What Hindu Sati can teach us about the sociocultural and social psychological dynamics of suicide.Seth Abrutyn - 2017 - Journal for the Theory of Social Behaviour 47 (4):522-539.
    By leveraging the case of Hindu sati, this paper elucidates the ways in which structure and culture condition suicidal behavior by way of social psychological and emotional dynamics. Conventionally, sati falls under Durkheim's discussion of altruistic suicides, or the self-sacrifice of underindividuated or excessively integrated peoples like widows in traditional societies. In light of the fact that Durkheim's interpretation was based on uneven data, nineteenth century Eurocentric beliefs, and a theoretical framework that can no longer resist modification and elaboration, (...)
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  32.  31
    Dynamical Analysis of Rumor Spreading Model considering Node Activity in Complex Networks.Liang’an Huo, Fan Ding, Chen Liu & Yingying Cheng - 2018 - Complexity 2018:1-10.
    The dynamic models are proposed to investigate the influence node activity has on rumor spreading process in both homogeneous and heterogeneous networks. Different from previous studies, we believe that the activity of nodes in complex networks affects the process of rumor spreading. An active node can have contact with all the nodes it directly links to, while an inactive node could only interact with its active neighbors. We explore the joint effort of activity rate, spreading rate and network topology on (...)
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  33. Static and dynamic vector semantics for lambda calculus models of natural language.Mehrnoosh Sadrzadeh & Reinhard Muskens - 2018 - Journal of Language Modelling 6 (2):319-351.
    Vector models of language are based on the contextual aspects of language, the distributions of words and how they co-occur in text. Truth conditional models focus on the logical aspects of language, compositional properties of words and how they compose to form sentences. In the truth conditional approach, the denotation of a sentence determines its truth conditions, which can be taken to be a truth value, a set of possible worlds, a context change potential, or similar. In the vector models, (...)
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  34.  29
    Cognitive dynamical models as minimal models.Travis Holmes - 2021 - Synthese 199 (1):2353-2373.
    The debate over the explanatory nature of cognitive models has been waged mostly between two factions: the mechanists and the dynamical systems theorists. The former hold that cognitive models are explanatory only if they satisfy a set of mapping criteria, particularly the 3M/3m* requirement. The latter have argued, pace the mechanists, that some cognitive models are both dynamical and constitute covering-law explanations. In this paper, I provide a minimal model interpretation of dynamical cognitive models, arguing that this both provides (...)
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  35.  13
    Models with Men and Women: Representing Gender in Dynamic Modeling of Social Systems.Erika Palmer & Benedicte Wilson - 2017 - Science and Engineering Ethics 24 (2):419-439.
    Dynamic engineering models have yet to be evaluated in the context of feminist engineering ethics. Decision-making concerning gender in dynamic modeling design is a gender and ethical issue that is important to address regardless of the system in which the dynamic modeling is applied. There are many dynamic modeling tools that operationally include the female population, however, there is an important distinction between females and women; it is the difference between biological sex and the social construct of gender, which is (...)
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  36. Pluralistic ignorance in the bystander effect: informational dynamics of unresponsive witnesses in situations calling for intervention.Rasmus Kraemmer Rendsvig - 2014 - Synthese 191 (11):2471-2498.
    The goal of the present paper is to construct a formal explication of the pluralistic ignorance explanation of the bystander effect. The social dynamics leading to inaction is presented, decomposed, and modeled using dynamic epistemic logic augmented with ‘transition rules’ able to characterize agent behavior. Three agent types are defined: First Responders who intervene given belief of accident; City Dwellers, capturing ‘apathetic urban residents’ and Hesitators, who observe others when in doubt, basing subsequent decision on social proof. It is (...)
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  37.  49
    Toward Integrative Dynamic Models for Adaptive Perspective Taking.Nicholas Duran, Rick Dale & Alexia Galati - 2016 - Topics in Cognitive Science 8 (4):761-779.
    In a matter of mere milliseconds, conversational partners can transform their expectations about the world in a way that accords with another person's perspective. At the same time, in similar situations, the exact opposite also appears to be true. Rather than being at odds, these findings suggest that there are multiple contextual and processing constraints that may guide when and how people consider perspective. These constraints are shaped by a host of factors, including the availability of social and environmental cues, (...)
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  38.  27
    Modelling phenomena and dynamic logic of phenomena.Boris Kovalerchuk, Leonid Perlovsky & Gregory Wheeler - 2012 - Journal of Applied Non-Classical Logics 22 (1-2):53-82.
    Modelling a complex phenomenon such as the mind presents tremendous computational complexity challenges. Modelling field theory addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of uncertainty of the model with levels of uncertainty of the evaluation criterion used to identify that model. When a model becomes more certain, then the evaluation criterion is adjusted dynamically to match that change to the model. This process is called the Dynamic Logic (...)
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  39. Models of Opinion Dynamics and Mill-Style Arguments for Opinion Diversity.Bert Baumgaertner - 2018 - Historical Social Research 43 (1):210-33.
    John Stuart Mill advocated for increased interactions between individuals of dissenting opinions for the reason that it would improve society. Whether Mill and similar arguments that advocate for opinion diversity are valid depends on background assumptions about the psychology and sociality of individuals. The field of opinion dynamics is a burgeoning testing ground for how different combinations of sociological and psychological facts contribute to phenomena that affect opinion diversity, such as polarization. This paper applies some recent results from the (...)
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  40.  18
    A conceptual model of corporate moral development.R. Eric Reidenbach & Donald P. Robin - 1991 - Journal of Business Ethics 10 (4):273 - 284.
    The conceptual model presented in this article argues that corporations exhibit specific behaviors that signal their true level of moral development. Accordingly, the authors identify five levels of moral development and discuss the dynamics that move corporations from one level to another. Examples of corporate behavior which are indicative of specific stages of moral development are offered.
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  41.  11
    Dynamic models of behavior: Promising but risky.Thomas R. Alley - 1991 - Behavioral and Brain Sciences 14 (1):94-94.
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  42.  6
    Dynamic bindings by real neurons: Arguments from physiology, neural network models and information theory.Reinhard Eckhorn - 1993 - Behavioral and Brain Sciences 16 (3):457-458.
  43.  4
    Dynamic Imagery: A Computational Model of Motion and Visual Analogy.David Croft & Paul Thagard - unknown
    This paper describes DIVA (Dynamic Imagery for Visual Analogy), a computational model of visual imagery based on the scene graph, a powerful representational structure widely used in computer graphics. Scene graphs make possible the visual display of complex objects, including the motions of individual objects. Our model combines a semantic-network memory system with computational procedures based on scene graphs. The model can account for people’s ability to produce visual images of moving objects, in particular the ability to (...)
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  44.  22
    Capturing Dynamic Performance in a Cognitive Model: Estimating ACT‐R Memory Parameters With the Linear Ballistic Accumulator.Maarten Velde, Florian Sense, Jelmer P. Borst, Leendert Maanen & Hedderik Rijn - 2022 - Topics in Cognitive Science 14 (4):889-903.
    The parameters governing our behavior are in constant flux, and capturing these dynamics in cognitive models remains a challenge. We demonstrate how a mapping between ACT‐R's model of declarative memory and the linear ballistic accumulator enables efficient estimation of memory parameters from data. The resulting estimates provide a cognitively meaningful explanation for observed differences in behavior over time and between individuals.
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  45.  7
    A dynamic model for “science and religion”: Interacting subcultures.Richard Olson - 2011 - Zygon 46 (1):65-83.
    Abstract: I argue that for psychological and social reasons, the traditional “Conflict Model” of science and religion interactions has such a strong hold on the nonexpert imagination that counterexamples and claims that interactions are simply more complex than the model allows are inadequate to undermine its power. Taxonomies, such as those of Ian Barbour and John Haught, which characterize conflict as only one among several possible relationships, help. But these taxonomies, by themselves, fail to offer an account of (...)
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  46.  36
    A dynamical model of risky choice.Marieke M. J. W. van Rooij, Luis H. Favela, MaryLauren Malone & Michael J. Richardson - 2013 - Proceedings of the 35th Annual Conference of the Cognitive Science Society 35:1510-1515.
    Individuals make decisions under uncertainty every day based on incomplete information concerning the potential outcome of the choice or chance levels. The choices individuals make often deviate from the rational or mathematically objective solution. Accordingly, the dynamics of human decision-making are difficult to capture using conventional, linear mathematical models. Here, we present data from a two-choice task with variable risk between sure loss and risky loss to illustrate how a simple nonlinear dynamical system can be employed to capture the (...)
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  47.  14
    Capturing Dynamic Performance in a Cognitive Model: Estimating ACT‐R Memory Parameters With the Linear Ballistic Accumulator.Maarten van der Velde, Florian Sense, Jelmer P. Borst, Leendert van Maanen & Hedderik van Rijn - 2022 - Topics in Cognitive Science 14 (4):889-903.
    The parameters governing our behavior are in constant flux. Accurately capturing these dynamics in cognitive models poses a challenge to modelers. Here, we demonstrate a mapping of ACT-R's declarative memory onto the linear ballistic accumulator (LBA), a mathematical model describing a competition between evidence accumulation processes. We show that this mapping provides a method for inferring individual ACT-R parameters without requiring the modeler to build and fit an entire ACT-R model. Existing parameter estimation methods for the LBA (...)
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  48.  28
    Model-Free Composite Control of Flexible Manipulators Based on Adaptive Dynamic Programming.Chunyu Yang, Yiming Xu, Linna Zhou & Yongzheng Sun - 2018 - Complexity 2018:1-9.
    This paper studies the problems of tip position regulation and vibration suppression of flexible manipulators without using the model. Because of the two-timescale characteristics of flexible manipulators, applying the existing model-free control methods may lead to ill-conditioned numerical problems. In this paper, the dynamics of a flexible manipulator is decomposed into two subsystems which are linear and controllable at different timescales by singular perturbation theory and a model-free composite controller is designed to alleviate the ill-conditioned numerical (...)
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  49.  9
    Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion.Caiyun Wang, Jing Li & Ruiqiang He - 2021 - Complexity 2021:1-14.
    One of the most efficient predator-prey models with spatial effects is the one with ratio-dependent functional response. However, there is a need to further explore the effects of spatial motion on the dynamic behavior of population. In this work, we study a ratio-dependent predator-prey model with diffusion terms. The aim of this work is to investigate the changes in predator’s distribution in space as the prey populations change their mobility. We observe that the frequency diffusion of the prey gives (...)
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  50.  23
    Strategies of Model Building in Population Genetics.Anya Plutynski - 2006 - Philosophy of Science 73 (5):755-764.
    In 1966, Richard Levins argued that there are different strategies in model building in population biology. In this paper, I reply to Orzack and Sober’s (1993) critiques of Levins, and argue that his views on modeling strategies apply also in the context of evolutionary genetics. In particular, I argue that there are different ways in which models are used to ask and answer questions about the dynamics of evolutionary change, prospectively and retrospectively, in classical versus molecular evolutionary genetics. (...)
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