{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T20:46:03Z","timestamp":1758401163078},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2016,6]]},"abstract":"<jats:p> Recently a novel quantum information formalism \u2014 quantum adaptive dynamics \u2014 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 Schr\u00f6der 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 \u201cbig Kolmogorov space\u201d 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. <\/jats:p>","DOI":"10.1142\/s1230161216500116","type":"journal-article","created":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T06:44:16Z","timestamp":1470033856000},"page":"1650011","source":"Crossref","is-referenced-by-count":4,"title":["Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process"],"prefix":"10.1142","volume":"23","author":[{"given":"Luigi","family":"Accardi","sequence":"first","affiliation":[{"name":"Centro Vito Volterra, Faculty of Economy, University of Rome (Torvergata) 00133 Rome, Italy"}]},{"given":"Andrei","family":"Khrennikov","sequence":"additional","affiliation":[{"name":"International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, V\u00e4xj\u00f6-Kalmar, Sweden"}]},{"given":"Masanori","family":"Ohya","sequence":"additional","affiliation":[{"name":"Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba, 278-8510, Japan"}]},{"given":"Yoshiharu","family":"Tanaka","sequence":"additional","affiliation":[{"name":"Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba, 278-8510, Japan"}]},{"given":"Ichiro","family":"Yamato","sequence":"additional","affiliation":[{"name":"Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba, 278-8510, Japan"}]}],"member":"219","published-online":{"date-parts":[[2016,7,31]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002459900097"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219025702000687"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161210000023"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1007\/s10701-010-9454-y"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2011.04.022"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmp.2012.02.003"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2012.08.022"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1007\/s10701-013-9725-5"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1007\/s11693-011-9081-8"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161209000074"},{"key":"p_15","first-page":"184","volume":"7620","author":"Dzhafarov E. 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