Incrementally maintaining a qualitative understanding of physical system behavior based on observations is crucial to real-time process monitoring, diagnosis, and control. This paper describes the DATMI theory for dynamically maintaining a pinterp-,space, a concise representation of the local and global interpretations consistent with observations over time. Each interpretation signifies an alt...

We apply the Dynamical Mean Field Theory to the problem of charge ordering. In the normal state as well as in the Charge Ordered (CO) state the existence of polarons, i.e. electrons strongly coupled to local lattice deformation, is associated to the qualitative properties of the Lattice Polarization Distribution Function (LPDF). At intermediate and strong coupling a CO state characterized by a ...

We consider geometrical scenes with obstacles and landmarks that can’t necessarily be distinguished and generalize the notion of panoramas (Sch93; Her94), introduced in the qualitative Spatial Reasoning (QSR) approaches to robot navigation. We study various notions of motion strategies in the accessibility graph associated with the local panoramas under uncertain deviations, a natural model of ...

We review and extend the qualitative relationships about the informational relevance of variables in graphical decision models based on conditional independencies revealed through graphical separations of nodes from nodes representing utility on outcomes. We exploit these qualitative relationships to generate non-numerical graphical procedures for identifying partial orderings over chance varia...

Incrementally maintaining a qualitative understanding of physical system behavior based on observations is crucial to real-time process monitoring, diagnosis, and control. This paper describes the DATMI theory for dynamically maintaining a pinterp-spuce, a concise representation of the local and global interpretations consistent with observations over time. Each interpretation signifies an alte...

The analysis of the qualitative behavior of flows generated by ordinary differential equations often requires quantitative information beyond numerical simulation which can be difficult to obtain analytically. In this paper we present a computational scheme designed to capture qualitative information using ideas from the Conley index theory. Specifically we design an combinatorial multivalued a...

Much recent research activity has been devoted to empirical study and theoretical models of complex networks (random graphs) possessing three qualitative features: power-law degree distributions, local clustering, and slowly-growing diameter. We point out a new (in this context) platform for such models – the stochastic mean-field model of distances – and within this platform study a simple two...

Matching two representations against one another is central to many applications, e.g., matching observation against models in object or scene recognition or matching a local perception against a global map in self-localization if a mobile robot. In both examples, spatial information structures are associated, i.e., the representation includes spatial arrangement information of individual parts...

In this paper, we present an approach to qualitative rover localization with panoramic images. The approach relies on the possibility to efficiently and robustly compute the resemblance between panoramic images, indexing them by histograms of local appearances. A database of image indexes is dynamically built during rover motions: when the rover re-perceives an already crossed area, it matches ...