@misc{RoemerbeimGrabenHuberetal., author = {R{\"o}mer, Ronald and beim Graben, Peter and Huber, Markus and Klimczak, Peter and Wirsching, G{\"u}nther and Wolff, Matthias}, title = {Die Welt ist nicht genug! Man muss auch {\"u}ber sie sprechen k{\"o}nnen}, series = {Elektronische Sprachsignalverarbeitung 2020 : Tagungsband der 31. Konferenz Magdeburg, 4. - 6. M{\"a}rz 2020}, journal = {Elektronische Sprachsignalverarbeitung 2020 : Tagungsband der 31. Konferenz Magdeburg, 4. - 6. M{\"a}rz 2020}, editor = {Wendemuth, Andreas and B{\"o}ck, Ronald and Siegert, Ingo}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-95908-193-1}, issn = {0940-6832}, pages = {173 -- 184}, language = {de} } @misc{KlimczakHuberBeimGrabenetal., author = {Klimczak, Peter and Huber, Markus and Beim Graben, Peter and Wirsching, G{\"u}nther}, title = {Eine Maschinensemiotische Petrinetz-Architektur f{\"u}r ein menschenzentriertes User-Interface}, series = {Elektronische Sprachsignalverarbeitung 2021 : Tagungsband der 32. Konferenz Berlin, 3.-5. M{\"a}rz 2021}, journal = {Elektronische Sprachsignalverarbeitung 2021 : Tagungsband der 32. Konferenz Berlin, 3.-5. M{\"a}rz 2021}, editor = {Hillmann, Stefan and Weiss, Benjamin and Michael, Thilo and M{\"o}ller, Sebastian}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-95908-227-3}, pages = {254 -- 263}, abstract = {Zun{\"a}chst m{\"o}chten wir in das Thema einf{\"u}hren, indem wir kurz auf gegenw{\"a}rtige Probleme und zuk{\"u}nftige M{\"o}glichkeiten von Sprachassistenten eingehen. Es folgen grundlegende {\"U}berlegungen 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 fr{\"u}heren Arbeiten vorgestellten, Verst{\"a}rkungsalgorithmus folgt. Dem schließt sich eine Demonstration des Spracherwerbs anhand eines Beispiels aus dem Smart Car-Bereich an. btuktcogsys}, language = {de} } @misc{BeimGrabenHuberLieblKlimczaketal., author = {Beim Graben, Peter and Huber-Liebl, Markus and Klimczak, Peter and Wirsching, G{\"u}nther}, title = {Machine Semiotics}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 48}, abstract = {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).}, language = {en} } @misc{HuttBeimGraben, author = {Hutt, Axel and Beim Graben, Peter}, title = {Sequences by metastable attractors: interweaving dynamical systems and experimental data}, series = {Frontiers in applied mathematics and statistics}, volume = {3}, journal = {Frontiers in applied mathematics and statistics}, issn = {2297-4687}, doi = {10.3389/fams.2017.00011}, pages = {14}, abstract = {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.}, language = {en} } @misc{CarmantiniBeimGrabenDesrochesetal., author = {Carmantini, Giovanni S. and Beim Graben, Peter and Desroches, Mathieu and Rodrigues, Serafim}, title = {A modular architecture for transparent computation in recurrent neural networks}, series = {Neural Networks}, volume = {85}, journal = {Neural Networks}, issn = {1879-2782}, doi = {10.1016/j.neunet.2016.09.001}, pages = {85 -- 105}, abstract = {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 G{\"o}delization 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.}, language = {en} } @inproceedings{BeimGrabenBlutner, author = {Beim Graben, Peter and Blutner, Reinhard}, title = {Toward a gauge theory of musical forces}, series = {Quantum Interaction, 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016}, booktitle = {Quantum Interaction, 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016}, editor = {Barros, Jose Acacio de and Coecke, Bob and Pothos, Emmanuel}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-52289-0}, doi = {10.1007/978-3-319-52289-0_8}, pages = {99 -- 111}, abstract = {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.}, language = {en} } @inproceedings{FedotenkovaBeimGrabenSleighetal., author = {Fedotenkova, Mariia and Beim Graben, Peter and Sleigh, Jamie and Hutt, Axel}, title = {Time-frequency representations as phase space reconstruction in symbolic recurrence structure analysis}, series = {Advances in time series analysis and forecasting, selected contributions from ITISE 2016}, booktitle = {Advances in time series analysis and forecasting, selected contributions from ITISE 2016}, editor = {Rojas, Ignacio and Pomares, Hector and Valenzuela, Olga}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-55789-2}, doi = {10.1007/978-3-319-55789-2_7}, pages = {89 -- 102}, abstract = {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.}, language = {en} } @inproceedings{BeimGrabenHuberRoemeretal., author = {Beim Graben, Peter and Huber, Markus and R{\"o}mer, Ronald and Schmitt, Ingo and Wolff, Matthias}, title = {Der Fockraum als Labyrinth: Wissensrepr{\"a}sentation und Probleml{\"o}sungen am Beispiel des Mouse-Maze-Problems}, series = {Elektronische Sprachsignalverarbeitung, Tagungsband der 29. Konferenz, Ulm, 7.-9. M{\"a}rz 2018}, booktitle = {Elektronische Sprachsignalverarbeitung, Tagungsband der 29. Konferenz, Ulm, 7.-9. M{\"a}rz 2018}, editor = {Berton, Andr{\´e} and Haiber, Udo and Minker, Wolfgang}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-95908-128-3}, pages = {167 -- 174}, language = {de} } @inproceedings{WolffWirschingHuberetal., author = {Wolff, Matthias and Wirsching, G{\"u}nther and Huber, Markus and Beim Graben, Peter and R{\"o}mer, Ronald and Schmitt, Ingo}, title = {A Fock Space Toolbox and Some Applications in Computational Cognition}, series = {Speech and computer : 20th International Conference, SPECOM 2018, Leipzig, Germany, September 18-22, 2018, proceedings}, booktitle = {Speech and computer : 20th International Conference, SPECOM 2018, Leipzig, Germany, September 18-22, 2018, proceedings}, editor = {Karpov, Alexey and Jokisch, Oliver and Potapova, Rodmonga}, publisher = {Springer International Publishing}, address = {Cham}, isbn = {978-3-319-99578-6}, doi = {10.1007/978-3-319-99579-3}, abstract = {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.}, language = {en} } @inproceedings{WolffHuberWirschingetal., author = {Wolff, Matthias and Huber, Markus and Wirsching, G{\"u}nther and R{\"o}mer, Ronald and Beim Graben, Peter and Schmitt, Ingo}, title = {Towards a Quantum Mechanical Model of the Inner Stage of Cognitive Agents}, series = {9th IEEE International Conference on Cognitive Infocommunications (CogInfoCom 2018), proceedings, Aug. 22-24, 2018, Budapest, Hungary}, booktitle = {9th IEEE International Conference on Cognitive Infocommunications (CogInfoCom 2018), proceedings, Aug. 22-24, 2018, Budapest, Hungary}, publisher = {IEEE}, address = {Piscataway, NJ}, isbn = {978-1-5386-7094-1}, doi = {10.1109/CogInfoCom.2018.8639892}, pages = {147 -- 152}, abstract = {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.}, language = {en} } @misc{BeimGrabenBlutner, author = {Beim Graben, Peter and Blutner, Reinhard}, title = {Quantum approaches to music cognition}, series = {Journal of Mathematical Psychology}, volume = {91}, journal = {Journal of Mathematical Psychology}, issn = {0022-2496}, doi = {10.1016/j.jmp.2019.03.002}, pages = {38 -- 50}, abstract = {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.}, language = {en} } @techreport{HuberRoemerMeyeretal., author = {Huber, Markus and R{\"o}mer, Ronald and Meyer, Werner and beim Graben, Peter and Wolff, Matthias}, title = {Struktur und Bedeutung-Theseus reloaded}, pages = {10}, abstract = {Bereits in der Fr{\"u}hphase der Kybernetik stellte C. E. Shannon ein Labyrinthexperiment zur Probleml{\"o}sung vor, das sich an der mythologischen Figur des Theseus orientierte. Seine L{\"o}sung kommt dabei ohne ein Bedeutungskonzept aus. Eine Problemanalyse aus psychologischer Sicht macht allerdings deutlich, dass bei diesem Experiment wesentliche kognitive Aspekte nicht ber{\"u}cksichtigt wurden. Um diese Aspekte herauszustellen, befassen wir uns kurz mit den mythologischen und historischen Hintergr{\"u}nden des Labyrinthproblems und erl{\"a}utern anschließend, warum wir {\"u}ber Shannons Modellvorstellungen hinausgehen m{\"u}ssen und Verfahren ben{\"o}tigen, mit denen wir zu semantischen Datentr{\"a}gern gelangen k{\"o}nnen. Zur Veranschaulichung unserer Methode modifizieren wir die Problemstellung, in dem wir "Theseus" die Befriedigung der Bed{\"u}rfnisse Hunger und Durst erm{\"o}glichen. Die Grundlage des Verfahrens ist die Festlegung von Zielmerkmalen und daran anschließend die Identifikation von l{\"o}sungsrelevanten Steuermerkmalen, welche "Theseus" zur Probleml{\"o}sung nutzen kann. Wir verwenden dabei den mathematischen Formalismus der Quantenmechanik, da er uns die Ableitung von semantischen Strukturen auf eine sehr elegante Weise erlaubt. Zun{\"a}chst exploriert "Theuseus" die Umgebung und erh{\"a}lt eine kompakte Repr{\"a}sentation in Form eines Weltvektors in einem Hilbertraum, der durch Tensorverkn{\"u}pfungen verschiedener Merkmalsr{\"a}ume entsteht. Die Kombination dieser Merkmalsr{\"a}ume f{\"u}hrt 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 f{\"u}r die Probleml{\"o}sung verwendet werden k{\"o}nnen. Wir demonstrieren das Verfahren an verschiedenen Weltkonfigurationen. Den dabei abgeleiteten semantischen Strukturen kann man entnehmen, welche Merkmale ber{\"u}cksichtigt werden m{\"u}ssen, um die Zielmerkmale einer gegebenen Konfiguration manipulieren zu k{\"o}nnen.}, language = {de} } @inproceedings{BeimGrabenMeyerRoemeretal., author = {Beim Graben, Peter and Meyer, Werner and R{\"o}mer, Ronald and Wolff, Matthias}, title = {Bidirektionale Utterance-Meaning-Transducer f{\"u}r Zahlworte durch kompositionale minimalistische Grammatiken}, series = {Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 3.-8. M{\"a}rz 2019}, booktitle = {Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 3.-8. M{\"a}rz 2019}, editor = {Birkholz, Peter and Stone, Simon}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-95908-157-3}, pages = {76 -- 82}, abstract = {Sprachgesteuerte Benutzerschnittstellen stehen oftmals vor der Aufgabe, physikalische Gr{\"o}ßenangaben und andere Zahlworte verstehen und {\"a}ußern zu m{\"u}ssen. Wir beschr{\"a}nken uns hier auf die sprachliche Produktion und das Verstehen von Zahlworten. Um nicht s{\"a}mtliche Zahlw{\"o}rter in einer Datenbank (dem mentalen Lexikon) vorhalten zu m{\"u}ssen, 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. F{\"u}r die Semantik verwenden wir den Lambda-Kalk{\"u}l 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 Repr{\"a}sentation einer Zahl als arithmetische Termstruktur aus. Durch Datenbankabfrage wird daraus eine Zeichenfolge, welche die passenden Lexikon-Eintr{\"a}ge enth{\"a}lt. Daraus berechnet der UMT die Morphologie der {\"A}ußerung. 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.}, language = {de} } @misc{BeimGrabenJimenezMarinDiezetal., author = {Beim Graben, Peter and Jimenez-Marin, Antonio and Diez, Ibai and Cortes, Jesus and Desroches, Mathieu and Rodrigues, Serafim}, title = {Metastable resting state brain dynamics}, series = {Frontiers in Computational Neuroscience}, volume = {13}, journal = {Frontiers in Computational Neuroscience}, doi = {10.3389/fncom.2019.00062}, pages = {13}, abstract = {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.}, language = {en} } @misc{RoemerBeimGrabenWolff, author = {R{\"o}mer, Ronald and Beim Graben, Peter and Wolff, Matthias}, title = {Entscheidungstheoretische Modellierung der konsummatorischen Endhandlung - Vergleich von klassischen und quantenmechanischen Ans{\"a}tzen}, series = {Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 6.-8. M{\"a}rz 2019}, journal = {Elektronische Sprachsignalverarbeitung 2019, Tagungsband der 30. Konferenz Dresden, 6.-8. M{\"a}rz 2019}, editor = {Birkholz, Peter and Stone, Simon}, edition = {1. Auflage}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-959081-57-3}, pages = {186 -- 196}, abstract = {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 l{\"o}sen. Zun{\"a}chst diskutieren wir die klassischen, nutzenbasierten Entscheidungsmodelle f{\"u}r sequentielle- und episodische Umgebungen am Beispiel des Mouse-Maze-Problems. Zu letzteren geh{\"o}ren die sogenannten konsummatorischen Endhandlungen, sie stehen im Mittelpunkt dieser Arbeit. Weil sich Entscheidungen bei Endhandlungen final auf die Lebensdauer des Agenten auswirken k{\"o}nnen, d{\"u}rfen Fehlleistungen und T{\"a}uschungen nur {\"a}ußerst selten auftreten. Aus diesem Grund stellen wir der rationalen Methode die psychologische Methode entgegen, die zus{\"a}tzlich auf der Einf{\"u}hrung von semantischen Kategorien beruht. Die daf{\"u}r ben{\"o}tigten semantischen Repr{\"a}sentationen 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 l{\"a}sst sich dieser Formalismus inden Perzeptions-Aktionszyklus (PAC) eines kognitiven Agenten einbetten.}, language = {de} } @misc{RoemerbeimGrabenHuberetal., author = {R{\"o}mer, Ronald and beim Graben, Peter and Huber, Markus and Wolff, Matthias and Wirsching, G{\"u}nther and Schmitt, Ingo}, title = {Behavioral Control of Cognitive Agents Using Database Semantics and Minimalist Grammars}, series = {Proceedings 10th IEEE International Conference on Cognitive Infocommunications, CogInfoCom 2019, Oct. 23-25}, journal = {Proceedings 10th IEEE International Conference on Cognitive Infocommunications, CogInfoCom 2019, Oct. 23-25}, address = {Naples, Italy}, isbn = {978-1-7281-4793-2}, issn = {2380-7350}, doi = {10.1109/CogInfoCom47531.2019.9089947}, pages = {73 -- 78}, language = {en} } @misc{BeimGrabenRoemerMeyeretal., author = {Beim Graben, Peter and R{\"o}mer, Ronald and Meyer, Werner and Huber, Markus and Wolff, Matthias}, title = {Reinforcement learning of minimalist numeral grammars}, series = {10th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), Naples, Italy}, journal = {10th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), Naples, Italy}, isbn = {978-1-7281-4793-2}, issn = {2380-7350}, doi = {10.1109/CogInfoCom47531.2019.9089924}, pages = {13}, abstract = {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.}, language = {en} } @misc{BlutnerBeimGraben, author = {Blutner, Reinhard and Beim Graben, Peter}, title = {Gauge models of musical forces}, series = {Journal of Mathematics and Music}, volume = {15}, journal = {Journal of Mathematics and Music}, number = {1}, issn = {1745-9745}, doi = {10.1080/17459737.2020.1716404}, pages = {17 -- 36}, abstract = {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.}, language = {en} } @misc{BeimGrabenMannone, author = {Beim Graben, Peter and Mannone, Maria}, title = {Musical pitch quantization as an eigenvalue problem}, series = {Journal of Mathematics and Music}, journal = {Journal of Mathematics and Music}, issn = {1745-9745}, doi = {10.1080/17459737.2020.1763488}, pages = {1 -- 18}, abstract = {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 Schr{\"o}dinger 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.}, language = {en} } @misc{RoemerbeimGrabenHuberLiebletal., author = {R{\"o}mer, Ronald and beim Graben, Peter and Huber-Liebl, Markus and Wolff, Matthias}, title = {Unifying Physical Interaction, Linguistic Communication, and Language Acquisition of Cognitive Agents by Minimalist Grammars}, series = {Frontiers in Computer Science}, journal = {Frontiers in Computer Science}, number = {4}, issn = {2624-9898}, doi = {10.3389/fcomp.2022.733596}, pages = {21}, abstract = {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}, language = {en} } @misc{MeyerBorislavovEckertetal., author = {Meyer, Werner and Borislavov, Borislav and Eckert, Friedrich and Richter, Christian and R{\"o}mer, Ronald and Beim Graben, Peter and Huber, Markus and Wolff, Matthias}, title = {Formalisierung und Implementierung einer adaptiven kognitiven Architektur unter Verwendung von Strukturdiagrammen}, series = {Elektronische Sprachsignalverarbeitung 2021 : Tagungsband der 32. Konferenz Berlin, 3.-5. M{\"a}rz 2021}, journal = {Elektronische Sprachsignalverarbeitung 2021 : Tagungsband der 32. Konferenz Berlin, 3.-5. M{\"a}rz 2021}, editor = {Hillmann, Stefan and Weiss, Benjamin and Michael, Thilo and M{\"o}ller, Sebastian}, publisher = {TUDpress}, address = {Dresden}, isbn = {978-3-959082-27-3}, issn = {0940-6832}, pages = {67 -- 76}, abstract = {Das Fachgebiet der Kognitiven Technischen Systeme zeichnet sich durch einen hohen Grad an Interdisziplinarit{\"a}t (z. B. Kenntnisse auf den Gebieten Biologie, Psychologie, Informatik und den Ingenieurwissenschaften) aus. Nach wie vor besteht Bedarf an einer methodischen Darstellung des Fachgebietes, bei der die theoretische Durchdringung von Zusammenh{\"a}ngen zwischen den verschiedenen Wissensgebieten zus{\"a}tzlich durch Anschaulichkeit unterst{\"u}tzt wird. Die vorliegende Arbeit stellt einen Fortschrittsbericht zur Realisierung eines Forschungs- und Experimentiersystems dar, mit dem wir dieses Anliegen unterst{\"u}tzen und {\"u}ber das wir erstmals konzeptionell in [1] berichtet haben. In diesem Beitrag folgen wir einem integrativen Ansatz zur Entwicklung einer kognitiven Architektur, mit der unter Verwendung repr{\"a}sentationaler Datenstrukturen adaptives Verhalten auf verschiedenen Zeitskalen sowie zwei wichtige Verhaltensprogramme f{\"u}r das Probleml{\"o}sen (Objektfindung, Exploration) auf der gemeinsamen Grundlage von Markov-Entscheidungsprozessen umgesetzt werden. Mit einem Kurzbericht zum Entwicklungsstand der physikalischen Experimentierumgebung und einer Zusammenfassung der bislang erreichten Ergebnisse beschließen wir den diesj{\"a}hrigen Beitrag.}, language = {de} } @misc{BeimGrabenHuberMeyeretal., author = {Beim Graben, Peter and Huber, Markus and Meyer, Werner and R{\"o}mer, Ronald and Wolff, Matthias}, title = {Vector Symbolic Architectures for Context-Free Grammars}, series = {Cognitive Computation}, volume = {14}, journal = {Cognitive Computation}, number = {2}, issn = {1866-9964}, doi = {10.1007/s12559-021-09974-y}, pages = {733 -- 748}, abstract = {Vector symbolic architectures (VSA) are a viable approach for the hyperdimensional representation of symbolic data, such as documents, syntactic structures, or semantic frames. We present a rigorous mathematical framework for the representation of phrase structure trees and parse trees of context-free grammars (CFG) in Fock space, i.e. infinite-dimensional Hilbert space as being used in quantum field theory. We define a novel normal form for CFG by means of term algebras. Using a recently developed software toolbox, called FockBox, we construct Fock space representations for the trees built up by a CFG left-corner (LC) parser. We prove a universal representation theorem for CFG term algebras in Fock space and illustrate our findings through a low-dimensional principal component projection of the LC parser state. Our approach could leverage the development of VSA for explainable artificial intelligence (XAI) by means of hyperdimensional deep neural computation.}, language = {en} } @misc{HuberLieblRoemerWirschingetal., author = {Huber-Liebl, Markus and R{\"o}mer, Ronald and Wirsching, G{\"u}nther and Schmitt, Ingo and beim Graben, Peter and Wolff, Matthias}, title = {Quantum-inspired Cognitive Agents}, series = {Frontiers in Applied Mathematics and Statistics}, journal = {Frontiers in Applied Mathematics and Statistics}, number = {8}, issn = {2297-4687}, doi = {10.3389/fams.2022.909873}, pages = {1 -- 31}, abstract = {The concept of intelligent agents is—roughly speaking—based on an architecture and a set of behavioral programs that primarily serve to solve problems autonomously. Increasing the degree of autonomy and improving cognitive performance, which can be assessed using cognitive and behavioral tests, are two important research trends. The degree of autonomy can be increased using higher-level psychological modules with which needs and motives are taken into account. In our approach we integrate these modules in architecture for an embodied, enactive multi-agent system, such that distributed problem solutions can be achieved. Furthermore, after uncovering some weaknesses in the cognitive performance of traditionally designed agents, we focus on two major aspects. On the one hand, the knowledge processing of cognitive agents is based on logical formalisms, which have deficiencies in the representation and processing of incomplete or uncertain knowledge. On the other hand, in order to fully understand the performance of cognitive agents, explanations at the symbolic and subsymbolic levels are required. Both aspects can be addressed by quantum-inspired cognitive agents. To investigate this approach, we consider two tasks in the sphere of Shannon's famous mouse-maze problem: namely classifying target objects and ontology inference. First, the classification of an unknown target object in the mouse-maze, such as cheese, water, and bacon, is based on sensory data that measure characteristics such as odor, color, shape, or nature. For an intelligent agent, we need a classifier with good prediction accuracy and explanatory power on a symbolic level. Boolean logic classifiers do work on a symbolic level but are not adequate for dealing with continuous data. Therefore, we demonstrate and evaluate a quantum-logic-inspired classifier in comparison to Boolean-logic-based classifiers. Second, ontology inference is iteratively achieved by a quantum-inspired agent through maze exploration. This requires the agent to be able to manipulate its own state by performing actions and by collecting sensory data during perception. We suggest an algebraic approach where both kinds of behaviors are uniquely described by quantum operators. The agent's state space is then iteratively constructed by carrying out unitary action operators, while Hermitian perception operators act as observables on quantum eigenstates. As a result, an ontology emerges as the simultaneous solution of the respective eigenvalue equations. Tags: btuktqiai; btuktcogsys; btukttheseus; btuktqtheseus}, language = {en} } @misc{RoemerbeimGrabenHuberLiebletal., author = {R{\"o}mer, Ronald and beim Graben, Peter and Huber-Liebl, Markus and Wolff, Matthias}, title = {(Pre-)linguistic Problem Solving based on Dynamic Semantics}, series = {14th IEEE International Conference on Cognitive Infocommunications - CogInfoCom 2023, September 22-23, Budapest, Hungary}, journal = {14th IEEE International Conference on Cognitive Infocommunications - CogInfoCom 2023, September 22-23, Budapest, Hungary}, isbn = {979-8-3503-2565-2}, issn = {2473-5671}, doi = {10.1109/CogInfoCom59411.2023.10397487}, pages = {147 -- 152}, language = {en} }