- •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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124 C. M. Signorelli and X. D. Arsiwalla
and research program to quantify a probably more complete and inclusive evaluation for future advances in AI.
The discussion will start with a preliminary definition of general intelligence; some key ingredients in human intelligence will be analyzed to finally arrive at more general principles of compositional intelligence. Then, a Moral test emerges naturally, as an option to effectively identify a combination of different and important features in human intelligence. Additionally, the issue about how to implement a Moral test is sketched, using new advances in the categorical compositional model of meaning (CCMM) in natural language [8] and the emergent field of Quantum Cognition (QC), associated with cognition and decision making under uncertainty [9].
2 Towards a General Definition of Intelligence
2.1What Is Intelligence?
A useful way to approach this question is by conceptualizing general intelligence as the capability of any system to take advantage of its environment in order to achieve a specific or general goal [1]. Biologically speaking this goal would be surviving, or in reductive terms: trying to keep the autonomy and potential reproduction of the system; while the goal in machines can be solving a specific task or problem using internal and external resources. This advantage would take place as a balance of these resources or in other words, reducing disequilibrium between them. This balance is managed internally, as the cognitive architecture/process to deal with internal and external demands, using both internal and external feedback. If any animal, human or machine break the balance between internal and external resources, as for example achieving their particular needs at the expense of the total annihilation of their environment and resources, this animal, human or machine is leading its own annihilation, which is not particularly intelligent. Therefore, a general intelligence is defined here as the balance (reducing disequilibrium) between these external and internal resources like an embodied system [10]. This general definition can incorporate living beings as well as robots and computers, and in this way, intelligence is general enough to include different kind of intelligence, multiple intelligence, contextual influences and different kind of systems with different degrees of intelligence [1]. Balance, as a “relative efficiency”, is considered as part of a general feature of intelligent systems and it can be linked with a physical view of intelligence using entropy or complexity [6, 7, 11, 12]. The mathematical description of these concepts is expected in future developments.
2.2Human Intelligence and Quantum Cognition
A preliminary definition of human intelligence can be suggested as the ability to benefit or gain advantage from their social environment while maintaining autonomy [1, 13]. This requires a balance or equilibrium between rational and emotional information processes [1, 10]. Hence, humans would solve problems by trying to incorporate different types of information and balancing both internal and external resources.
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However, common approaches on human intelligence assume only a rational and logical nature of human thinking. Against that, many different cognitive experiments have been shown how human thinking can be “easily wrong” or “illogical”, what is associated with some cognitive fallacies [14]. Cognitive fallacies are typically wrong assumptions about the dynamics of cognition and judgments. Experimental examples are usually wrong answers to apparently simple questions, which contradict classical probabilistic frameworks [15]. These answers are apparently due to fast and intuitive processing before some extra level of information processing, evidencing that the dynamic for holistic information processing can be completely different from logical or rational processing of the same information. These cognitive features show interesting properties of concept combinations, human judgments and decision making under uncertainty. For example, one of these cognitive fallacies is the ordering question effect: the idea that the order in which questions are presented should not affect the final outcome or response. However, in psychology and sociology, this effect is well known and called question bias. For example, analyses in 70 surveys from 651 to 3006 participants demonstrated not only that question order affects the final outcome, but also this effect can be predicted by quantum models of cognition, revealing a noncommutative structure [16]. Another example is the conjunction of two concepts like the Pet-fish problem, where the intersection of individual concept probabilities do not explain the observed probability for a typical Pet-Fish like a goldfish [17]. Recently, the explanation of these phenomena were demonstrated using the mathematical framework of quantum mechanics; also known as the quantum cognition (QC) programme [9]. QC uses non-classical mathematical probabilities to successfully explain and predict part of these cognitive behaviours. One of these predictions is the recently proved constructive effect of affective evaluations [18], where preliminary ratings of negative adverts influence the rating of following positive adverts and vice versa. It suggests that the construction of some new affective content has intrinsic connection with QC formalism. In consequence, understanding human intelligence is not possible with only the classical idea of logical and rational kind of intelligence, it is also needed to explain and incorporate emotional and intuitive intelligence (no classical reasoning), apparently better described by QC.
In this way, we will suggest a compositional human intelligence (Fig. 1a) composed of a rational reasoning and also intuitive and emotional one, considering intelligence as the whole “living” body engaged with the environment [10] (brain-body- environment system). Compositional complexes intelligences would be different in the way how they manage both (or even more) rational and emotional processes of information associated with internal and external resources.
2.3In Search of the General Principles of Intelligence
The order-effect of stimuli presentations, conjunction, disjunction, decision making under uncertainty, contextuality, among others, can be understood as an intrinsic property of human judgment: contextual dependencies as inherent to previous knowledge experiences. In other words, humans and animals can understand/distinguish among different contexts and act accordingly, thanks to previously learned experiences. Therefore, one reasonable, but not an intuitive assumption, is to consider these effects as
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a general property (or the minimal requirement) of high-level cognition, i.e. some types of bias would be a reaction to contextual dependencies, as wording or framing, implicit meanings, question order, etc. For instance, exchanging words like “kill” instead of “save” in moral judgment, triggered different answers even if the outcomes of each dilemma were the same in both situations [19]. If some changes in the formulation of dilemmas trigger different contextual internal meanings and they evoke different answers according to different contexts, it would mean that high-level cognition can understand and distinguish different context and respond differently to each one in a way that is not always optimal (rationally speaking).
A true understanding of different contexts (in the sense of [20]) implies the existence of a minimal kind of meaning. This understanding of context due to meaning (e.g. BUP does not mean the same than PUB) would require a minimal noncommutative structure of cognition connected with our suggested principle of balance internal and external resources. We hypothesized this structure as part of an inherent neural network construction in the brain, where structure-function relationship would be dynamic, highly flexible and context-dependent [10]. Emotion and rational reasoning, in this sense, would correspond to the outcome of interactions among many components, each one related to neural assemblies or distributed networks, which combine, influence, shape and constrain one another [1, 21].
Fig. 1. (a) A proposal for Compositional Intelligence. Context is constructed by composition of external and internal objects; the interaction evokes and/or creates meaning from which intuitive/emotional and rational reasoning would emerge. (b) Moral Test and Processes required. Some processes needed for moral thought are stated as examples, among many other possible processes.
To sum up, the idea of balancing internal and external resources as a preliminary proposal for a general intelligence, implies at least four requirements (Fig. 1): (i) a noncommutative structure (mathematically and operationally), (ii) understanding of context, which implies different kind of contexts effects, framing, wording, question ordereffects, etc., (iii) meaning projection in at least emotional and rational meaning spaces, which implies a basic notion of subjectivity (see discussion on Sect. 4), and (iv) behaviours, judgments and decisions based on these meanings (reasoning would emerge from these meaning interactions).