Judging Spatial Relations from Memory

Rothkegel, Rainer; Wender, Karl F.; Schumacher, Sabine

doi:10.1007/3-540-69342-4_5

Cited by 12 publications

(3 citation statements)

References 48 publications

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“…In light of the distinction between route and survey knowledge, the question of distance estimation between two points on a route has also been addressed in a number of publications (Rothkegel, Wender, & Schumacher, 1998;Sadalla, Staplin, & Burroughs, 1979;Thorndyke & Hayes-Roth, 1982). Two different distance estimations are usually compared: route-distance vs. Euclidean distance estimation.…”

Section: Route-based Navigation In Humansmentioning

confidence: 99%

Modelling Navigational Knowledge by Route Graphs

Werner

Krieg-Brückner

Herrmann

2000

Lecture Notes in Computer Science

107

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Abstract. Navigation has always been an interdisciplinary topic of research, because mobile agents of different types are inevitably faced with similar navigational problems. Therefore, human navigation can readily be compared to navigation in other biological organisms or in artificial mobile agents like autonomous robots. One such navigational strategy, route-based navigation, in which an agent moves from one location to another by following a particular route, is the focus of this paper. Drawing on the research from cognitive psychology and linguistics, biology, and robotics, we present a simple, abstract formalism to express the key concepts of route-based navigation in a common scientific language. Starting with the distinction of places and route segments, we develop the notion of a route graph, which can serve as the basis for complex navigational knowledge. Implications and constraints of the model are discussed along the way, together with examples of different instantiations of parts of the model in different mobile agents. By providing this common conceptual framework, we hope to advance the interdisciplinary discussion of spatial navigation.

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Section: Route-based Navigation In Humansmentioning

confidence: 99%

Modelling Navigational Knowledge by Route Graphs

Werner

Krieg-Brückner

Herrmann

2000

Lecture Notes in Computer Science

107

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“…Assumption (1) is supported by studies in space cognition that show that computing a route-distance following the circular path of the game would imply creating a “reference object” for each numbered box and then adding the different legs from one object to another along the route [ 73 , 74 ]. This makes euclidean distance estimates more appealing because of cognitive economy.…”

Section: Resultsmentioning

confidence: 99%

Towards a category theory approach to analogy: Analyzing re-representation and acquisition of numerical knowledge

Navarrete

Dartnell

2017

PLoS Comput Biol

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Category Theory, a branch of mathematics, has shown promise as a modeling framework for higher-level cognition. We introduce an algebraic model for analogy that uses the language of category theory to explore analogy-related cognitive phenomena. To illustrate the potential of this approach, we use this model to explore three objects of study in cognitive literature. First, (a) we use commutative diagrams to analyze an effect of playing particular educational board games on the learning of numbers. Second, (b) we employ a notion called coequalizer as a formal model of re-representation that explains a property of computational models of analogy called “flexibility” whereby non-similar representational elements are considered matches and placed in structural correspondence. Finally, (c) we build a formal learning model which shows that re-representation, language processing and analogy making can explain the acquisition of knowledge of rational numbers. These objects of study provide a picture of acquisition of numerical knowledge that is compatible with empirical evidence and offers insights on possible connections between notions such as relational knowledge, analogy, learning, conceptual knowledge, re-representation and procedural knowledge. This suggests that the approach presented here facilitates mathematical modeling of cognition and provides novel ways to think about analogy-related cognitive phenomena.

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“…There is evidence that humans can immediately acquire survey knowledge during exploration of a novel environment [64]. Thus, the proposed hierarchy of spatial information processing does not necessarily result in a hierarchical organization of knowledge acquisition.…”

Section: Relationship To Other Terminologiesmentioning

confidence: 95%

Biomimetic robot navigation

Franz

Mallot

2000

Robotics and Autonomous Systems

256

164

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In the past decade, a large number of robots has been built that explicitly implement biological navigation behaviours. We review these biomimetic approaches using a framework that allows for a common description of biological and technical navigation behaviour. The review shows that biomimetic systems make significant contributions to two fields of research: First, they provide a real world test of models of biological navigation behaviour; second, they make new navigation mechanisms available for technical applications, most notably in the field of indoor robot navigation. While simpler insect navigation behaviours have been implemented quite successfully, the more complicated way-finding capabilities of vertebrates still pose a challenge to current systems.

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Judging Spatial Relations from Memory

Cited by 12 publications

References 48 publications

Modelling Navigational Knowledge by Route Graphs

Modelling Navigational Knowledge by Route Graphs

Towards a category theory approach to analogy: Analyzing re-representation and acquisition of numerical knowledge

Biomimetic robot navigation

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