TY - GEN A1 - Römer, Ronald A1 - beim Graben, Peter A1 - Huber, Markus A1 - Klimczak, Peter A1 - Wirsching, Günther A1 - Wolff, Matthias ED - Wendemuth, Andreas ED - Böck, Ronald ED - Siegert, Ingo T1 - Die Welt ist nicht genug! Man muss auch über sie sprechen können T2 - Elektronische Sprachsignalverarbeitung 2020 : Tagungsband der 31. Konferenz Magdeburg, 4. - 6. März 2020 Y1 - 2020 SN - 978-3-95908-193-1 SN - 0940-6832 SP - 173 EP - 184 PB - TUDpress CY - Dresden ER - TY - GEN A1 - Klimczak, Peter A1 - Huber, Markus A1 - Beim Graben, Peter A1 - Wirsching, Günther ED - Hillmann, Stefan ED - Weiss, Benjamin ED - Michael, Thilo ED - Möller, Sebastian T1 - Eine Maschinensemiotische Petrinetz-Architektur für ein menschenzentriertes User-Interface T2 - Elektronische Sprachsignalverarbeitung 2021 : Tagungsband der 32. Konferenz Berlin, 3.-5. März 2021 N2 - Zunächst möchten wir in das Thema einführen, indem wir kurz auf gegenwärtige Probleme und zukünftige Möglichkeiten von Sprachassistenten eingehen. Es folgen grundlegende Überlegungen zur Semantik und zwei fundamentale Erkenntnisse aus der Biosemiotik und dem Konstruktivismus. Danach fokussieren wir uns auf den Spracherwerbsprozess. Hierbei kommt ein Petrinetz zum Einsatz, das einem elementaren, bereits in früheren Arbeiten vorgestellten, Verstärkungsalgorithmus folgt. Dem schließt sich eine Demonstration des Spracherwerbs anhand eines Beispiels aus dem Smart Car-Bereich an. btuktcogsys KW - Maschinensemiotik KW - Biosemiotik KW - Künstliche Intelligenz KW - Reinforcement Learning KW - Petrinetze Y1 - 2021 SN - 978-3-95908-227-3 SP - 254 EP - 263 PB - TUDpress CY - Dresden ER - TY - GEN A1 - Beim Graben, Peter A1 - Huber-Liebl, Markus A1 - Klimczak, Peter A1 - Wirsching, Günther T1 - Machine Semiotics T2 - arXiv N2 - Recognizing a basic difference between the semiotics of humans and machines presents a possibility to overcome the shortcomings of current speech assistive devices. For the machine, the meaning of a (human) utterance is defined by its own scope of actions. Machines, thus, do not need to understand the conventional meaning of an utterance. Rather, they draw conversational implicatures in the sense of (neo-)Gricean pragmatics. For speech assistive devices, the learning of machine-specific meanings of human utterances, i.e. the fossilization of conversational implicatures into conventionalized ones by trial and error through lexicalization appears to be sufficient. Using the quite trivial example of a cognitive heating | device, we show that — based on dynamic semantics — this process can be formalized as the reinforcement learning of utterance-meaning pairs (UMP). KW - Semiotics KW - machine learning KW - dynamic semantics KW - pragmatic implicatures KW - fossilization Y1 - 2023 UR - https://arxiv.org/abs/2008.10522v2 SP - 1 EP - 48 ER - TY - GEN A1 - Hutt, Axel A1 - Beim Graben, Peter T1 - Sequences by metastable attractors: interweaving dynamical systems and experimental data T2 - Frontiers in applied mathematics and statistics N2 - Metastable attractors and heteroclinic orbits are present in the dynamics of various complex systems. Although their occurrence is well-known, their identification and modeling is a challenging task. The present work reviews briefly the literature and proposes a novel combination of their identification in experimental data and their modeling by dynamical systems. This combination applies recurrence structure analysis permitting the derivation of an optimal symbolic representation of metastable states and their dynamical transitions. To derive heteroclinic sequences of metastable attractors in various experimental conditions, the work introduces a Hausdorff clustering algorithm for symbolic dynamics. The application to brain signals (event-related potentials) utilizing neural field models illustrates the methodology. Y1 - 2017 U6 - https://doi.org/10.3389/fams.2017.00011 SN - 2297-4687 VL - 3 ER - TY - GEN A1 - Carmantini, Giovanni S. A1 - Beim Graben, Peter A1 - Desroches, Mathieu A1 - Rodrigues, Serafim T1 - A modular architecture for transparent computation in recurrent neural networks T2 - Neural Networks N2 - Computation is classically studied in terms of automata, formal languages and algorithms; yet, the relation between neural dynamics and symbolic representations and operations is still unclear in traditional eliminative connectionism. Therefore, we suggest a unique perspective on this central issue, to which we would like to refer as to transparent connectionism, by proposing accounts of how symbolic computation can be implemented in neural substrates. In this study we first introduce a new model of dynamics on a symbolic space, the versatile shift, showing that it supports the real-time simulation of a range of automata. We then show that the Gödelization of versatile shifts defines nonlinear dynamical automata, dynamical systems evolving on a vectorial space. Finally, we present a mapping between nonlinear dynamical automata and recurrent artificial neural networks. The mapping defines an architecture characterized by its granular modularity, where data, symbolic operations and their control are not only distinguishable in activation space, but also spatially localizable in the network itself, while maintaining a distributed encoding of symbolic representations. The resulting networks simulate automata in real-time and are programmed directly, in absence of network training. To discuss the unique characteristics of the architecture and their consequences, we present two examples: i) the design of a Central Pattern Generator from a finite-state locomotive controller, and ii) the creation of a network simulating a system of interactive automata that supports the parsing of garden-path sentences as investigated in psycholinguistics experiments. Y1 - 2017 U6 - https://doi.org/10.1016/j.neunet.2016.09.001 SN - 1879-2782 SN - 0893-6080 VL - 85 SP - 85 EP - 105 ER - TY - CHAP A1 - Beim Graben, Peter A1 - Blutner, Reinhard ED - Barros, Jose Acacio de ED - Coecke, Bob ED - Pothos, Emmanuel T1 - Toward a gauge theory of musical forces T2 - Quantum Interaction, 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016 N2 - How well does a given pitch fit into a tonal scale or key, being either a major or minor key? This question addresses the well-known phenomenon of tonal attraction in music psychology. Metaphorically, tonal attraction is often described in terms of attracting and repelling forces that are exerted upon a probe tone of a scale. In modern physics, forces are related to gauge fields expressing fundamental symmetries of a theory. In this study we address the intriguing relationship between musical symmetries and gauge forces in the framework of quantum cognition. Y1 - 2017 SN - 978-3-319-52289-0 SN - 978-3-319-52288-3 U6 - https://doi.org/10.1007/978-3-319-52289-0_8 SP - 99 EP - 111 PB - Springer CY - Cham ER - TY - CHAP A1 - Fedotenkova, Mariia A1 - Beim Graben, Peter A1 - Sleigh, Jamie A1 - Hutt, Axel ED - Rojas, Ignacio ED - Pomares, Hector ED - Valenzuela, Olga T1 - Time-frequency representations as phase space reconstruction in symbolic recurrence structure analysis T2 - Advances in time series analysis and forecasting, selected contributions from ITISE 2016 N2 - Recurrence structures in univariate time series are challenging to detect. We propose a combination of symbolic and recurrence analysis in order to identify recurrence domains in the signal. This method allows to obtain a symbolic representation of the data. Recurrence analysis produces valid results for multidimensional data, however, in the case of univariate time series one should perform phase space reconstruction first. In this chapter, we propose a new method of phase space reconstruction based on the signal's time-frequency representation and compare it to the delay embedding method. We argue that the proposed method outperforms the delay embedding reconstruction in the case of oscillatory signals. We also propose to use recurrence complexity as a quantitative feature of a signal. We evaluate our method on synthetic data and show its application to experimental EEG signals. Y1 - 2017 SN - 978-3-319-55789-2 SN - 978-3-319-55788-5 U6 - https://doi.org/10.1007/978-3-319-55789-2_7 SP - 89 EP - 102 PB - Springer CY - Cham ER - TY - CHAP A1 - Beim Graben, Peter A1 - Huber, Markus A1 - Römer, Ronald A1 - Schmitt, Ingo A1 - Wolff, Matthias ED - Berton, André ED - Haiber, Udo ED - Minker, Wolfgang T1 - Der Fockraum als Labyrinth: Wissensrepräsentation und Problemlösungen am Beispiel des Mouse-Maze-Problems T2 - Elektronische Sprachsignalverarbeitung, Tagungsband der 29. Konferenz, Ulm, 7.-9. März 2018 Y1 - 2018 UR - http://essv2018.de/de/programm/ SN - 978-3-95908-128-3 SP - 167 EP - 174 PB - TUDpress CY - Dresden ER - TY - CHAP A1 - Wolff, Matthias A1 - Wirsching, Günther A1 - Huber, Markus A1 - Beim Graben, Peter A1 - Römer, Ronald A1 - Schmitt, Ingo ED - Karpov, Alexey ED - Jokisch, Oliver ED - Potapova, Rodmonga T1 - A Fock Space Toolbox and Some Applications in Computational Cognition T2 - Speech and computer : 20th International Conference, SPECOM 2018, Leipzig, Germany, September 18-22, 2018, proceedings N2 - We present a Matlab toolbox, called “FockBox”, handling Fock spaces and objects associated with Fock spaces: scalars, ket and bra vectors, and linear operators. We give brief application examples from computational linguistics, semantics processing, and quantum logic,demonstrating the use of the toolbox. KW - Fock space KW - Matlab KW - Computational linguistics KW - Semantics processing KW - Cognitive systems KW - Quantum logic KW - Computational cognition Y1 - 2018 SN - 978-3-319-99578-6 U6 - https://doi.org/10.1007/978-3-319-99579-3 PB - Springer International Publishing CY - Cham ER - TY - CHAP A1 - Wolff, Matthias A1 - Huber, Markus A1 - Wirsching, Günther A1 - Römer, Ronald A1 - Beim Graben, Peter A1 - Schmitt, Ingo T1 - Towards a Quantum Mechanical Model of the Inner Stage of Cognitive Agents T2 - 9th IEEE International Conference on Cognitive Infocommunications (CogInfoCom 2018), proceedings, Aug. 22-24, 2018, Budapest, Hungary N2 - We present a model, inspired by quantum field theory, of the so-called inner stage of technical cognitive agents. The inner stage represents all knowledge of the agent. It allows for planning of actions and for higher cognitive functions like coping and fantasy. By the example of a cognitive mouse agent living in a maze wold, we discuss learning, action planning, and attention in a fully deterministic setting and assuming a totally observable world. We explain the relevance of our approach to cognitive infocommunications. KW - cognitive systems KW - cognitive agents KW - quantum field theory KW - machine learning KW - inner stage KW - veridicality KW - attention modeling KW - ontology inference Y1 - 2018 UR - https://ieeexplore.ieee.org/document/8639892 SN - 978-1-5386-7094-1 U6 - https://doi.org/10.1109/CogInfoCom.2018.8639892 N1 - Best Paper Award SP - 147 EP - 152 PB - IEEE CY - Piscataway, NJ ER - TY - GEN A1 - Beim Graben, Peter A1 - Blutner, Reinhard T1 - Quantum approaches to music cognition T2 - Journal of Mathematical Psychology N2 - Quantum cognition emerged as an important discipline of mathematical psychology during the last two decades. Using abstract analogies between mental phenomena and the formal framework of physical quantum theory, quantum cognition demonstrated its ability to resolve several puzzles from cognitive psychology. Until now, quantum cognition essentially exploited ideas from projective (Hilbert space) geometry, such as quantum probability or quantum similarity. However, many powerful tools provided by physical quantum theory, e.g., symmetry groups have not been utilized in the field of quantum cognition research sofar. Inspired by seminal work by Guerino Mazzola on the symmetries of tonal music, our study aims at elucidating and reconciling static and dynamic tonal attraction phenomena in music psychology within the quantum cognition framework. Based on the fundamental principles of octave equivalence, fifth similarity and transposition symmetry of tonal music that are reflected by the structure of the circle of fifths, we develop different wave function descriptions over this underlying tonal space. We present quantum models for static and dynamic tonal attraction and compare them with traditional computational models in musicology. Our approach replicates and also improves predictions based on symbolic models of music perception. KW - Music psychology KW - Tonal attraction KW - Quantum cognition KW - Tonal space Y1 - 2019 U6 - https://doi.org/10.1016/j.jmp.2019.03.002 SN - 0022-2496 VL - 91 SP - 38 EP - 50 ER - TY - RPRT A1 - Huber, Markus A1 - Römer, Ronald A1 - Meyer, Werner A1 - beim Graben, Peter A1 - Wolff, Matthias T1 - Struktur und Bedeutung-Theseus reloaded N2 - Bereits in der Frühphase der Kybernetik stellte C. E. Shannon ein Labyrinthexperiment zur Problemlösung vor, das sich an der mythologischen Figur des Theseus orientierte. Seine Lösung kommt dabei ohne ein Bedeutungskonzept aus. Eine Problemanalyse aus psychologischer Sicht macht allerdings deutlich, dass bei diesem Experiment wesentliche kognitive Aspekte nicht berücksichtigt wurden. Um diese Aspekte herauszustellen, befassen wir uns kurz mit den mythologischen und historischen Hintergründen des Labyrinthproblems und erläutern anschließend, warum wir über Shannons Modellvorstellungen hinausgehen müssen und Verfahren benötigen, mit denen wir zu semantischen Datenträgern gelangen können. Zur Veranschaulichung unserer Methode modifizieren wir die Problemstellung, in dem wir "Theseus" die Befriedigung der Bedürfnisse Hunger und Durst ermöglichen. Die Grundlage des Verfahrens ist die Festlegung von Zielmerkmalen und daran anschließend die Identifikation von lösungsrelevanten Steuermerkmalen, welche "Theseus" zur Problemlösung nutzen kann. Wir verwenden dabei den mathematischen Formalismus der Quantenmechanik, da er uns die Ableitung von semantischen Strukturen auf eine sehr elegante Weise erlaubt. Zunächst exploriert "Theuseus" die Umgebung und erhält eine kompakte Repräsentation in Form eines Weltvektors in einem Hilbertraum, der durch Tensorverknüpfungen verschiedener Merkmalsräume entsteht. Die Kombination dieser Merkmalsräume führt auf die mathematische Struktur eines Verbandes. Ausgehend vom gefundenen Weltvektor stellen wir ein Verfahren vor, mit dem "Theseus" Unterstrukturen des Verbandes bestimmen kann, welche semantischen Strukturen entsprechen und anschließend für die Problemlösung verwendet werden können. Wir demonstrieren das Verfahren an verschiedenen Weltkonfigurationen. Den dabei abgeleiteten semantischen Strukturen kann man entnehmen, welche Merkmale berücksichtigt werden müssen, um die Zielmerkmale einer gegebenen Konfiguration manipulieren zu können. Y1 - 2019 UR - https://www.researchgate.net/publication/330514334_Struktur_und_Bedeutung-Theseus_reloaded ER - TY - CHAP A1 - Beim Graben, Peter A1 - Meyer, Werner A1 - Römer, Ronald A1 - Wolff, Matthias ED - Birkholz, Peter ED - Stone, Simon T1 - Bidirektionale Utterance-Meaning-Transducer für Zahlworte durch kompositionale minimalistische Grammatiken T2 - Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 3.-8. März 2019 N2 - Sprachgesteuerte Benutzerschnittstellen stehen oftmals vor der Aufgabe, physikalische Größenangaben und andere Zahlworte verstehen und äußern zu müssen. Wir beschränken uns hier auf die sprachliche Produktion und das Verstehen von Zahlworten. Um nicht sämtliche Zahlwörter in einer Datenbank (dem mentalen Lexikon) vorhalten zu müssen, sollen morphologische Komposita durch eine geeignete Grammatik ableitbar sein. Wir kodieren sprachliche Zeichen als geordnete Tripel von Exponenten, syntaktischen Typen und Semantiken. Der syntaktische Typ wird durch eine minimalistische Grammatik (MG) beschrieben. Für die Semantik verwenden wir den Lambda-Kalkül der arithmetischen Termalgebra. Auf dem MG-Lexikon operieren syntaktische Erzeugungsfunktionen, die durch linguistische Inferenzregeln vorgegeben sind. Sprachproduktion und Sprachverstehen lassen sich dann durch einen bidirektionalen Utterance-Meaning-Transducer (UMT) beschreiben. Bei der Sprachproduktion gehen wir von einer semantischen Repräsentation einer Zahl als arithmetische Termstruktur aus. Durch Datenbankabfrage wird daraus eine Zeichenfolge, welche die passenden Lexikon-Einträge enthält. Daraus berechnet der UMT die Morphologie der Äußerung. Beim Sprachverstehen wird zur Eingabe die abgefragte Zeichenfolge auf dem Stack eines Priority-Queue-Parsers abgespeichert. Durch Anwendung der minimalistischen Inferenzregeln erzeugt der UMT dann schrittweise die semantische Termstruktur. Y1 - 2019 UR - https://www.researchgate.net/publication/330634207 SN - 978-3-95908-157-3 SP - 76 EP - 82 PB - TUDpress CY - Dresden ER - TY - GEN A1 - Beim Graben, Peter A1 - Jimenez-Marin, Antonio A1 - Diez, Ibai A1 - Cortes, Jesus A1 - Desroches, Mathieu A1 - Rodrigues, Serafim T1 - Metastable resting state brain dynamics T2 - Frontiers in Computational Neuroscience N2 - Metastability refers to the fact that the state of a dynamical system spends a large amount of time in a restricted region of its available phase space before a transition takes place, bringing the system into another state from where it might recur into the previous one. beim Graben and Hutt (2013) suggested to use the recurrence plot (RP) technique introduced by Eckmann et al. (1987) for the segmentation of system's trajectories into metastable states using recurrence grammars. Here, we apply this recurrence structure analysis (RSA) for the first time to resting-state brain dynamics obtained from functional magnetic resonance imaging (fMRI). Brain regions are defined according to the brain hierarchical atlas (BHA) developed by Diez et al. (2015), and as a consequence, regions present high-connectivity in both structure (obtained from diffusion tensor imaging) and function (from the blood-level dependent-oxygenation—BOLD—signal). Remarkably, regions observed by Diez et al. were completely time-invariant. Here, in order to compare this static picture with the metastable systems dynamics obtained from the RSA segmentation, we determine the number of metastable states as a measure of complexity for all subjects and for region numbers varying from 3 to 100. We find RSA convergence toward an optimal segmentation of 40 metastable states for normalized BOLD signals, averaged over BHA modules. Next, we build a bistable dynamics at population level by pooling 30 subjects after Hausdorff clustering. In link with this finding, we reflect on the different modeling frameworks that can allow for such scenarios: heteroclinic dynamics, dynamics with riddled basins of attraction, multiple-timescale dynamics. Finally, we characterize the metastable states both functionally and structurally, using templates for resting state networks (RSNs) and the automated anatomical labeling (AAL) atlas, respectively. KW - resting state KW - recurrence structure analysis KW - metastability KW - BOLD fMRI KW - diffusion tensor imaging KW - brain hierarchical atlas Y1 - 2019 UR - https://www.frontiersin.org/articles/10.3389/fncom.2019.00062/full U6 - https://doi.org/10.3389/fncom.2019.00062 VL - 13 ER - TY - GEN A1 - Römer, Ronald A1 - Beim Graben, Peter A1 - Wolff, Matthias ED - Birkholz, Peter ED - Stone, Simon T1 - Entscheidungstheoretische Modellierung der konsummatorischen Endhandlung – Vergleich von klassischen und quantenmechanischen Ansätzen T2 - Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 6.-8. März 2019 N2 - Ein wesentlicher Bestandteil kognitiver – und damit auch sprach-verarbeitender – Agentensysteme ist die Verhaltenssteuerung. Eine ihrer wichtigsten Aufgaben besteht darin, Entscheidungsprobleme, die in der Auseinandersetzung mit der physischen Umgebung eines Agenten auftreten, rational zu lösen. Zunächst diskutieren wir die klassischen, nutzenbasierten Entscheidungsmodelle für sequentielle- und episodische Umgebungen am Beispiel des Mouse-Maze-Problems. Zu letzteren gehören die sogenannten konsummatorischen Endhandlungen, sie stehen im Mittelpunkt dieser Arbeit. Weil sich Entscheidungen bei Endhandlungen final auf die Lebensdauer des Agenten auswirken können, dürfen Fehlleistungen und Täuschungen nur äußerst selten auftreten. Aus diesem Grund stellen wir der rationalen Methode die psychologische Methode entgegen, die zusätzlich auf der Einführung von semantischen Kategorien beruht. Die dafür benötigten semantischen Repräsentationen modellieren wir nach einem quantenmechanischen Formalismus. Daraus leitet sich die zentrale Fragestellung dieser Arbeitab: Bietet die quantenmechanische Perspektive einen Mehrwert bei der Modellierung der konsummatorischen Endhandlung und lässt sich dieser Formalismus inden Perzeptions-Aktionszyklus (PAC) eines kognitiven Agenten einbetten. Y1 - 2019 UR - http://www.essv.de/pdf/2019_186_196.pdf SN - 978-3-959081-57-3 SP - 186 EP - 196 PB - TUDpress CY - Dresden ET - 1. Auflage ER - TY - GEN A1 - Römer, Ronald A1 - beim Graben, Peter A1 - Huber, Markus A1 - Wolff, Matthias A1 - Wirsching, Günther A1 - Schmitt, Ingo T1 - Behavioral Control of Cognitive Agents Using Database Semantics and Minimalist Grammars T2 - Proceedings 10th IEEE International Conference on Cognitive Infocommunications, CogInfoCom 2019, Oct. 23-25 Y1 - 2019 SN - 978-1-7281-4793-2 SN - 978-1-7281-4792-5 U6 - https://doi.org/10.1109/CogInfoCom47531.2019.9089947 SN - 2380-7350 SP - 73 EP - 78 CY - Naples, Italy ER - TY - GEN A1 - Beim Graben, Peter A1 - Römer, Ronald A1 - Meyer, Werner A1 - Huber, Markus A1 - Wolff, Matthias T1 - Reinforcement learning of minimalist numeral grammars T2 - 10th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), Naples, Italy N2 - Speech-controlled user interfaces facilitate the operation of devices and household functions to laymen. State-of-the-art language technology scans the acoustically analyzed speech signal for relevant keywords that are subsequently inserted into semantic slots to interpret the user's intent. In order to develop proper cognitive information and communication technologies, simple slot-filling should be replaced by utterance meaning transducers (UMT) that are based on semantic parsers and a mental lexicon, comprising syntactic, phonetic and semantic features of the language under consideration. This lexicon must be acquired by a cognitive agent during interaction with its users. We outline a reinforcement learning algorithm for the acquisition of the syntactic morphology and arithmetic semantics of English numerals, based on minimalist grammar (MG), a recent computational implementation of generative linguistics. Number words are presented to the agent by a teacher in form of utterance meaning pairs (UMP) where the meanings are encoded as arithmetic terms. Since MG encodes universal linguistic competence through inference rules, thereby separating innate linguistic knowledge from the contingently acquired lexicon, our approach unifies generative grammar and reinforcement learning, hence potentially resolving the still pending Chomsky-Skinner controversy. Y1 - 2019 UR - https://arxiv.org/abs/1906.04447 SN - 978-1-7281-4793-2 SN - 978-1-7281-4792-5 SN - 978-1-7281-4794-9 U6 - https://doi.org/10.1109/CogInfoCom47531.2019.9089924 SN - 2380-7350 ER - TY - GEN A1 - Blutner, Reinhard A1 - Beim Graben, Peter T1 - Gauge models of musical forces T2 - Journal of Mathematics and Music N2 - Metaphors involving motion and forces are a source of inspiration for understanding tonal music and tonal harmonies since ancient times. Starting with the rise of quantum cognition, the modern interactional conception of forces as developed in gauge theory has recently entered the field of theoretical musicology. We develop a gauge model of tonal attraction based on SU(2) symmetry. This model comprises two earlier attempts, the phase model grounded on U(1) gauge symmetry, and the spatial deformation model derived from SO(2) gauge symmetry. In the neutral, force-free case both submodels agree and generate the same predictions as a simple qubit approach. However, there are several differences in the force-driven case. It is claimed that the deformation model gives a proper description of static tonal attraction. The full model combines the deformation model with the phase model through SU(2) gauge symmetry and unifies static and dynamic tonal attraction. KW - Music psychology KW - tonal attraction KW - mathematics KW - gauge theory Y1 - 2021 U6 - https://doi.org/10.1080/17459737.2020.1716404 SN - 1745-9745 VL - 15 IS - 1 SP - 17 EP - 36 ER - TY - GEN A1 - Beim Graben, Peter A1 - Mannone, Maria T1 - Musical pitch quantization as an eigenvalue problem T2 - Journal of Mathematics and Music N2 - How can discrete pitches and chords emerge from the continuum of sound? Using a quantum cognition model of tonal music, we prove that the associated Schrödinger equation in Fourier space is invariant under continuous pitch transpositions. However, this symmetry is broken in the case of transpositions of chords, entailing a discrete cyclic group as transposition symmetry. Our research relates quantum mechanics with music and is consistent with music theory and seminal insights by Hermann von Helmholtz. Y1 - 2020 U6 - https://doi.org/10.1080/17459737.2020.1763488 SN - 1745-9745 SP - 1 EP - 18 ER - TY - GEN A1 - Römer, Ronald A1 - beim Graben, Peter A1 - Huber-Liebl, Markus A1 - Wolff, Matthias T1 - Unifying Physical Interaction, Linguistic Communication, and Language Acquisition of Cognitive Agents by Minimalist Grammars T2 - Frontiers in Computer Science N2 - Cognitive agents that act independently and solve problems in their environment on behalf of a user are referred to as autonomous. In order to increase the degree of autonomy, advanced cognitive architectures also contain higher-level psychological modules with which needs and motives of the agent are also taken into account and with which the behavior of the agent can be controlled. Regardless of the level of autonomy, successful behavior is based on interacting with the environment and being able to communicate with other agents or users. The agent can use these skills to learn a truthful knowledge model of the environment and thus predict the consequences of its own actions. For this purpose, the symbolic information received during the interaction and communication must be converted into representational data structures so that they can be stored in the knowledge model, processed logically and retrieved from there. Here, we firstly outline a grammar-based transformation mechanism that unifies the description of physical interaction and linguistic communication and on which the language acquisition is based. Specifically, we use minimalist grammar (MG) for this aim, which is a recent computational implementation of generative linguistics. In order to develop proper cognitive information and communication technologies, we are using utterance meaning transducers (UMT) that are based on semantic parsers and a mental lexicon, comprising syntactic and semantic features of the language under consideration. This lexicon must be acquired by a cognitive agent during interaction with its users. To this aim we outline a reinforcement learning algorithm for the acquisition of syntax and semantics of English utterances. English declarative sentences are presented to the agent by a teacher in form of utterance meaning pairs (UMP) where the meanings are encoded as formulas of predicate logic. Since MG codifies universal linguistic competence through inference rules, thereby separating innate linguistic knowledge from the contingently acquired lexicon, our approach unifies generative grammar and reinforcement learning, hence potentially resolving the still pending Chomsky-Skinner controversy. btuktuminglear, btuktsptech, btuktcogsys Y1 - 2022 UR - https://www.frontiersin.org/article/10.3389/fcomp.2022.733596 U6 - https://doi.org/10.3389/fcomp.2022.733596 SN - 2624-9898 IS - 4 ER -