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首页> 外文期刊>Open Systems & Information Dynamics >Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process
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Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process

机译：非Kolmogorovian概率和量子自适应动力学在视觉感知过程中无意识推理中的应用

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摘要

Recently a novel quantum information formalism - quantum adaptive dynamics - was developed and applied to modelling of information processing by bio-systems including cognitive phenomena: from molecular biology (glucose-lactose metabolism for E.coli bacteria, epigenetic evolution) to cognition, psychology. From the foundational point of view quantum adaptive dynamics describes mutual adapting of the information states of two interacting systems (physical or biological) as well as adapting of co-observations performed by the systems. In this paper we apply this formalism to model unconscious inference: the process of transition from sensation to perception. The paper combines theory and experiment. Statistical data collected in an experimental study on recognition of a particular ambiguous figure, the Schroder stairs, support the viability of the quantum(-like) model of unconscious inference including modelling of biases generated by rotation-contexts. From the probabilistic point of view, we study (for concrete experimental data) the problem of contextuality of probability, its dependence on experimental contexts. Mathematically contextuality leads to non-Komogorovness: probability distributions generated by various rotation contexts cannot be treated in the Kolmogorovian framework. At the same time they can be embedded in a "big Kolmogorov space" as conditional probabilities. However, such a Kolmogorov space has too complex structure and the operational quantum formalism in the form of quantum adaptive dynamics simplifies the modelling essentially.
机译：最近，一种新型的量子信息形式主义-量子自适应动力学-被开发出来并应用于包括认知现象在内的生物系统信息处理的建模：从分子生物学（大肠杆菌的葡萄糖-乳糖代谢，表观遗传进化）到认知，心理学。从基础的观点来看，量子自适应动力学描述了两个相互作用系统（物理或生物）的信息状态的相互适应以及系统进行的共同观测的适应。在本文中，我们将这种形式主义应用于无意识推理的模型：从感觉到知觉的过渡过程。本文将理论与实验相结合。在一项实验研究中收集的统计数据，用于识别特定的模棱两可的人物（Schroder楼梯），支持无意识推理的量子（类）模型的可行性，包括对旋转上下文所产生的偏差进行建模。从概率的角度来看，我们（针对具体的实验数据）研究概率的上下文性问题，即概率与实验上下文的关系。数学上的语境导致非科莫戈罗夫性：由各种旋转情境产生的概率分布无法在科莫哥罗夫框架中处理。同时，它们可以作为条件概率嵌入“大Kolmogorov空间”中。但是，这样的Kolmogorov空间的结构太复杂，以量子自适应动力学的形式出现的操作量子形式主义实质上简化了建模。

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  • 来源
    《Open Systems & Information Dynamics》 |2016年第2期|1650011.1-1650011.18|共18页
  • 作者

    Luigi Accardi; Andrei Khrennikov; Masanori Ohya; Yoshiharu Tanaka; Ichiro Yamato;

  • 作者单位

    Centro Vito Volterra, Faculty of Economy, University of Rome (Torvergata) 00133 Rome, Italy;

    International Center for Mathematical Modeling in Physics and Cognitive Sciences Linnaeus University, Vaexjoe-Kalmar, Sweden;

    Department of Information Sciences, Tokyo University of Science Yamasaki 2641, Noda-shi, Chiba, 278-8510 Japan;

    Department of Information Sciences, Tokyo University of Science Yamasaki 2641, Noda-shi, Chiba, 278-8510 Japan;

    Department of Information Sciences, Tokyo University of Science Yamasaki 2641, Noda-shi, Chiba, 278-8510 Japan;

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