- •Preface
- •Contents
- •Contributors
- •Modeling Meaning Associated with Documental Entities: Introducing the Brussels Quantum Approach
- •1 Introduction
- •2 The Double-Slit Experiment
- •3 Interrogative Processes
- •4 Modeling the QWeb
- •5 Adding Context
- •6 Conclusion
- •Appendix 1: Interference Plus Context Effects
- •Appendix 2: Meaning Bond
- •References
- •1 Introduction
- •2 Bell Test in the Problem of Cognitive Semantic Information Retrieval
- •2.1 Bell Inequality and Its Interpretation
- •2.2 Bell Test in Semantic Retrieving
- •3 Results
- •References
- •1 Introduction
- •2 Basics of Quantum Probability Theory
- •3 Steps to Build an HSM Model
- •3.1 How to Determine the Compatibility Relations
- •3.2 How to Determine the Dimension
- •3.5 Compute the Choice Probabilities
- •3.6 Estimate Model Parameters, Compare and Test Models
- •4 Computer Programs
- •5 Concluding Comments
- •References
- •Basics of Quantum Theory for Quantum-Like Modeling Information Retrieval
- •1 Introduction
- •3 Quantum Mathematics
- •3.1 Hermitian Operators in Hilbert Space
- •3.2 Pure and Mixed States: Normalized Vectors and Density Operators
- •4 Quantum Mechanics: Postulates
- •5 Compatible and Incompatible Observables
- •5.1 Post-Measurement State From the Projection Postulate
- •6 Interpretations of Quantum Mechanics
- •6.1 Ensemble and Individual Interpretations
- •6.2 Information Interpretations
- •7 Quantum Conditional (Transition) Probability
- •9 Formula of Total Probability with the Interference Term
- •9.1 Växjö (Realist Ensemble Contextual) Interpretation of Quantum Mechanics
- •10 Quantum Logic
- •11 Space of Square Integrable Functions as a State Space
- •12 Operation of Tensor Product
- •14 Qubit
- •15 Entanglement
- •References
- •1 Introduction
- •2 Background
- •2.1 Distributional Hypothesis
- •2.2 A Brief History of Word Embedding
- •3 Applications of Word Embedding
- •3.1 Word-Level Applications
- •3.2 Sentence-Level Application
- •3.3 Sentence-Pair Level Application
- •3.4 Seq2seq Application
- •3.5 Evaluation
- •4 Reconsidering Word Embedding
- •4.1 Limitations
- •4.2 Trends
- •4.4 Towards Dynamic Word Embedding
- •5 Conclusion
- •References
- •1 Introduction
- •2 Motivating Example: Car Dealership
- •3 Modelling Elementary Data Types
- •3.1 Orthogonal Data Types
- •3.2 Non-orthogonal Data Types
- •4 Data Type Construction
- •5 Quantum-Based Data Type Constructors
- •5.1 Tuple Data Type Constructor
- •5.2 Set Data Type Constructor
- •6 Conclusion
- •References
- •Incorporating Weights into a Quantum-Logic-Based Query Language
- •1 Introduction
- •2 A Motivating Example
- •5 Logic-Based Weighting
- •6 Related Work
- •7 Conclusion
- •References
- •Searching for Information with Meet and Join Operators
- •1 Introduction
- •2 Background
- •2.1 Vector Spaces
- •2.2 Sets Versus Vector Spaces
- •2.3 The Boolean Model for IR
- •2.5 The Probabilistic Models
- •3 Meet and Join
- •4 Structures of a Query-by-Theme Language
- •4.1 Features and Terms
- •4.2 Themes
- •4.3 Document Ranking
- •4.4 Meet and Join Operators
- •5 Implementation of a Query-by-Theme Language
- •6 Related Work
- •7 Discussion and Future Work
- •References
- •Index
- •Preface
- •Organization
- •Contents
- •Fundamentals
- •Why Should We Use Quantum Theory?
- •1 Introduction
- •2 On the Human Science/Natural Science Issue
- •3 The Human Roots of Quantum Science
- •4 Qualitative Parallels Between Quantum Theory and the Human Sciences
- •5 Early Quantitative Applications of Quantum Theory to the Human Sciences
- •6 Epilogue
- •References
- •Quantum Cognition
- •1 Introduction
- •2 The Quantum Persuasion Approach
- •3 Experimental Design
- •3.1 Testing for Perspective Incompatibility
- •3.2 Quantum Persuasion
- •3.3 Predictions
- •4 Results
- •4.1 Descriptive Statistics
- •4.2 Data Analysis
- •4.3 Interpretation
- •5 Discussion and Concluding Remarks
- •References
- •1 Introduction
- •2 A Probabilistic Fusion Model of Trust
- •3 Contextuality
- •4 Experiment
- •4.1 Subjects
- •4.2 Design and Materials
- •4.3 Procedure
- •4.4 Results
- •4.5 Discussion
- •5 Summary and Conclusions
- •References
- •Probabilistic Programs for Investigating Contextuality in Human Information Processing
- •1 Introduction
- •2 A Framework for Determining Contextuality in Human Information Processing
- •3 Using Probabilistic Programs to Simulate Bell Scenario Experiments
- •References
- •1 Familiarity and Recollection, Verbatim and Gist
- •2 True Memory, False Memory, over Distributed Memory
- •3 The Hamiltonian Based QEM Model
- •4 Data and Prediction
- •5 Discussion
- •References
- •Decision-Making
- •1 Introduction
- •1.2 Two Stage Gambling Game
- •2 Quantum Probabilities and Waves
- •2.1 Intensity Waves
- •2.2 The Law of Balance and Probability Waves
- •2.3 Probability Waves
- •3 Law of Maximal Uncertainty
- •3.1 Principle of Entropy
- •3.2 Mirror Principle
- •4 Conclusion
- •References
- •1 Introduction
- •4 Quantum-Like Bayesian Networks
- •7.1 Results and Discussion
- •8 Conclusion
- •References
- •Cybernetics and AI
- •1 Introduction
- •2 Modeling of the Vehicle
- •2.1 Introduction to Braitenberg Vehicles
- •2.2 Quantum Approach for BV Decision Making
- •3 Topics in Eigenlogic
- •3.1 The Eigenlogic Operators
- •3.2 Incorporation of Fuzzy Logic
- •4 BV Quantum Robot Simulation Results
- •4.1 Simulation Environment
- •5 Quantum Wheel of Emotions
- •6 Discussion and Conclusion
- •7 Credits and Acknowledgements
- •References
- •1 Introduction
- •2.1 What Is Intelligence?
- •2.2 Human Intelligence and Quantum Cognition
- •2.3 In Search of the General Principles of Intelligence
- •3 Towards a Moral Test
- •4 Compositional Quantum Cognition
- •4.1 Categorical Compositional Model of Meaning
- •4.2 Proof of Concept: Compositional Quantum Cognition
- •5 Implementation of a Moral Test
- •5.2 Step II: A Toy Example, Moral Dilemmas and Context Effects
- •5.4 Step IV. Application for AI
- •6 Discussion and Conclusion
- •Appendix A: Example of a Moral Dilemma
- •References
- •Probability and Beyond
- •1 Introduction
- •2 The Theory of Density Hypercubes
- •2.1 Construction of the Theory
- •2.2 Component Symmetries
- •2.3 Normalisation and Causality
- •3 Decoherence and Hyper-decoherence
- •3.1 Decoherence to Classical Theory
- •4 Higher Order Interference
- •5 Conclusions
- •A Proofs
- •References
- •Information Retrieval
- •1 Introduction
- •2 Related Work
- •3 Quantum Entanglement and Bell Inequality
- •5 Experiment Settings
- •5.1 Dataset
- •5.3 Experimental Procedure
- •6 Results and Discussion
- •7 Conclusion
- •A Appendix
- •References
- •Investigating Bell Inequalities for Multidimensional Relevance Judgments in Information Retrieval
- •1 Introduction
- •2 Quantifying Relevance Dimensions
- •3 Deriving a Bell Inequality for Documents
- •3.1 CHSH Inequality
- •3.2 CHSH Inequality for Documents Using the Trace Method
- •4 Experiment and Results
- •5 Conclusion and Future Work
- •A Appendix
- •References
- •Short Paper
- •An Update on Updating
- •References
- •Author Index
- •The Sure Thing principle, the Disjunction Effect and the Law of Total Probability
- •Material and methods
- •Experimental results.
- •Experiment 1
- •Experiment 2
- •More versus less risk averse participants
- •Theoretical analysis
- •Shared features of the theoretical models
- •The Markov model
- •The quantum-like model
- •Logistic model
- •Theoretical model performance
- •Model comparison for risk attitude partitioning.
- •Discussion
- •Authors contributions
- •Ethical clearance
- •Funding
- •Acknowledgements
- •References
- •Markov versus quantum dynamic models of belief change during evidence monitoring
- •Results
- •Model comparisons.
- •Discussion
- •Methods
- •Participants.
- •Task.
- •Procedure.
- •Mathematical Models.
- •Acknowledgements
- •New Developments for Value-based Decisions
- •Context Effects in Preferential Choice
- •Comparison of Model Mechanisms
- •Qualitative Empirical Comparisons
- •Quantitative Empirical Comparisons
- •Neural Mechanisms of Value Accumulation
- •Neuroimaging Studies of Context Effects and Attribute-Wise Decision Processes
- •Concluding Remarks
- •Acknowledgments
- •References
- •Comparison of Markov versus quantum dynamical models of human decision making
- •CONFLICT OF INTEREST
- •Endnotes
- •FURTHER READING
- •REFERENCES
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A recent study choice examined the relationship between lateral inhibition and the engagement of prefrontal and parietal areas in intertemporal choices [76]. The authors adapted mechanisms such as lateral inhibition and leakage [16,38] to test how self-control processes emerge when choosing between a smaller–sooner versus a later–larger reward. Hierarchical Bayesian analysis of competing models found that the best account of the decision process was a dynamic, oscillatory feature-selection process [13,49] combined with active suppression of tempting, but inferior, choice options through lateral inhibition [15,16]. More refined single-trial analyses revealed that distinct subregions within the prefrontal cortex (i.e., the dmPFC and the left dlPFC) were associated with inhibition of the tempting but inferior sooner–smaller reward options, consistent with extant theories of cognitive control [77,78].
Future Neuroscientific Research on Value-Based Decisions
With a very few exceptions [76], the neurobiological plausibility of component processes in value-based decisions, such as attentional switching or lateral inhibition, is yet to be tested in a systematic and rigorous fashion. We propose that much additional effort will need to be taken to develop a new agenda of neuroscientific research on multi-attribute value-based decisions. This agenda should be guided by four principles. We have outlined three of these principles above: we need (i) increased reliance on neuroscientific methods such as EEG and MEG that allow capturing the rapidly evolving component processes of multi-attribute decision making, (ii) intensified crosstalk with animal research on evidence accumulation, and (iii) principled use of experimental designs and stimuli that quantify the processing of well-defined attributes (e.g., intertemporal choice options that are characterized by the attributes amount and delay of reward). In addition, we propose that decision neuroscientists need to employ state-of-the-art tools to bridge the gap between cognitive modeling and neural recordings [79–83]. In particular, novel methods have been developed that allow joint modeling of neural and behavioral data such that neural data can directly constrain cognitive models [55,84–86]. These approaches offer a hitherto missing opportunity to dissociate between competing cognitive models and their presumed component processes (which often make highly similar behavioral predictions) on the basis of neurobiological plausibility.
Concluding Remarks
Empirical research on value-based decisions, based on multi-attribute and multi-alternative choices, has produced a collection of puzzling choice context effects that have challenged traditional static theories for over 30 years (Figure 1B and Box 1). The challenging set of empirical regularities was finally successfully addressed by extending classic sequential sampling models of evidence-based decisions into value-based decisions with new mechanisms (Box 3) such as stochastic integration of attribute comparisons, attention weighting depending on attribute values, lateral inhibition, and nonlinear evaluation of comparisons. Although these additional mechanisms enabled computational models to capture important context effects behaviorally, many researchers began the difficult quest of justifying the additional complexity brought on by their inclusion. In the present review we have highlighted several key advantages produced by sequential sampling models of value-based decisions, including temporal evolution of preference, decision times, eye movements, and connections to neural data. Perhaps equally interesting is the discovery of context effects in evidence-based decision paradigms (Box 2), suggesting the possibility of a framework for unifying evidenceand value-based decision making. However, to construct such a framework, we believe that modern cognitive scientists will need to synthesize evidence across both value-based and evidence-based domains to identify when advanced mechanisms affect cognitive dynamics, while looking to the many technological advances for better appreciating the temporal aspects of the computations of the mind (see[176T$DIF] Outstanding Questions for future issues).
Outstanding Questions
Do the new findings of context effects in perception and inference tasks require switching from simpler models previously used in evidence-based tasks to adopting some of the more advanced mechanisms developed for value-based decisions?
Is it possible to form a single sequential sampling model that can be applied to both value-based and inferencebased tasks, or are these domains of application so different that different models are needed for each one?
The advanced mechanisms used in value-based sequential sampling models introduce a very high level of complexity in these models. How can we develop rigorously empirical tests for these complex models?
Similarly, how can we avoid that these advanced mechanisms make models too complex and impractical for application to field research in marketing and consumer behavior?
What methodological advances will be necessary to investigate complex decision dynamics? Both precise spatial and temporal information about neural computations are essential. Currently, methods for combining high spatial and temporal modalities (e.g., EEG and fMRI) are complicated to implement. How will development in sig- nal-processing techniques change cognitive theories of decision making?
260 Trends in Cognitive Sciences, March 2019, Vol. 23, No. 3
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Finally, some initial progress has been made recently in uncovering the neural substrates underlying the advanced mechanisms used by sequential sampling models of value-based decision, for instance by linking lateral inhibition of choice options to the cognitive control system of the brain [76]. However, most of the advanced mechanisms that have been put forward in cognitive research on value-based decisions making are yet to be linked to brain data. More work and effort is needed in this regard, and we have delineated an agenda for future research. The ultimate goal is use neural data to constrain cognitive models [83] to identify a neurobiologically plausible account of value-based decision making and to avoid further inflation of proposals of sequential sampling models that are able to explain context effects.
Acknowledgments
J.R.B. was supported by the Air Force Office of Scientific Research (FA9550-15-1-0343), S.G, and J.R. were supported by
the Swiss National Science Foundation (100014-172761 and 100014-153616, respectively)]FID$T71[.
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