State space grids for low complexity abstractions

Author(s):  
Matthias Rungger ◽  
Alexander Weber ◽  
Gunther Reissig
2021 ◽  
Author(s):  
Fabio Strazzeri ◽  
Carme Torras

AbstractForty years ago the notion of configuration space (C-space) revolutionised robot motion planning for rigid and articulated objects. Despite great progress, handling deformable materials has remained elusive because of their infinite-dimensional shape-state space. Finding low-complexity representations has become a pressing research goal. This work tries to make a tiny step in this direction by proposing a state representation for textiles relying on the C-space of some distinctive points. A stratification of the configuration space for n points in the cloth is derived from that of the flag manifold, and topological techniques to determine adjacencies in manipulation-centred state graphs are developed. Their algorithmic implementation permits obtaining cloth state–space representations of different granularities and tailored to particular purposes. An example of their usage to distinguish between cloth states having different manipulation affordances is provided. Suggestions on how the proposed state graphs can serve as a common ground to link the perception, planning and manipulation of textiles are also made.


2007 ◽  
Vol 31 (4) ◽  
pp. 384-396 ◽  
Author(s):  
Tom Hollenstein

Developmentalists are generally interested in systems perspectives and this is reflected in the theoretical models of the past decade. However, the methodological tools to test these models are either nonexistent or difficult for many researchers to use. This article reviews the state space grid (SSG) method for analyzing synchronized event sequences based on dynamic systems (DS) principles. Following a review of these DS concepts and the basics of the SSG method, several studies are reviewed. Greater emphasis and detail are provided for three longitudinal studies that relate real-time socioemotional dynamics to processes of developmental change and stability. The concluding sections provide guidelines for researchers interested in using the SSG method and some suggestions for future SSG studies.


2012 ◽  
Vol 28 (7) ◽  
pp. 1027-1037 ◽  
Author(s):  
M. Tim Mainhard ◽  
Helena J.M. Pennings ◽  
Theo Wubbels ◽  
Mieke Brekelmans

2011 ◽  
Vol 21 (1) ◽  
pp. 54-69 ◽  
Author(s):  
António P. Ribeiro ◽  
Tiago Bento ◽  
João Salgado ◽  
William B. Stiles ◽  
Miguel M. Gonçalves

2003 ◽  
Vol 15 (3) ◽  
pp. 641-669 ◽  
Author(s):  
ISABELA GRANIC ◽  
TOM HOLLENSTEIN

A survey of dynamic systems (DS) methods appropriate for testing systems-based models in developmental psychopathology is provided. The rationale for developing new methods for the field is reviewed first. In line with other scholars, we highlight the fundamental incompatibility between developmentalists' organismic, open systems models and the mechanistic research methods with which these models are tested. Key DS principles are explained and their commensurability with developmental psychopathologists' core theoretical concerns are discussed. Next, a survey of research designs and methodological techniques currently being used and refined by developmental DS researchers is provided. The strengths and limitations of each approach are discussed throughout this review. Finally, we elaborate on one specific dynamic systems method, state space grids, which addresses many of the limitations of previous DS techniques and may prove most useful for the discipline. This approach was developed as a middle road between DS methods that are mathematically heavy on the one hand and purely descriptive on the other. Examples of developmental and clinical studies that have applied state space grids are reviewed and suggestions for future analyses are made. We conclude with some implications for the application of this new methodology for studying change processes in clinical research.


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