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Directed Information on Abstract Spaces: Properties and Variational Equalities [article]

Charalambos D. Charalambous, Photios A. Stavrou
2015 arXiv   pre-print
In this paper, we derive several functional and topological properties of directed information for general abstract alphabets (complete separable metric spaces) using the topology of weak convergence of  ...  Finally, we derive variational equalities for directed information, including sequential versions.  ...  Istanbul, Turkey, July 7-12 2013 [2] , and in book series "Lecture Notes in Control and Information Sciences" [3] .  ... 
arXiv:1302.3971v2 fatcat:ex4j37hgffgadihqsovofwmbxm


Stephen C. Levinson
1996 Annual Review of Anthropology  
This review describes some recent, unexpected findings concerning variation in spatial language across cultures, and places them in the context of the general anthropology of space on the one hand, and  ...  to formal/informal speech registers (35, 81, 154, 174) .  ...  The sun's rising and setting cannot directly determine fixed bearings of any accuracy due to solstitial variation, and cultures seem to settle on fixed bearings that are abstracted from varied additional  ... 
doi:10.1146/annurev.anthro.25.1.353 fatcat:y6vw25cckjamhl545kfhomckpi

Binary Space Parititions in Plücker Space [chapter]

David M. Mount, Fan-Tao Pu
1999 Lecture Notes in Computer Science  
Given a point p in space and a direction d, M (p, d) returns the visibility information arriving at the point p along the direction −d.  ...  Each point on P and each directional vector corresponds to a directed line passing through the point and having this direction.  ... 
doi:10.1007/3-540-48518-x_6 fatcat:u4jjpzxxerhmtkxywv352en7e4

Variable space and subject space [chapter]

2014 The Geometry of Multivariate Statistics  
There are two points in this ten-dimensional space, one for X and one for Y.  ...  Usually one can concentrate on the plane in subject space that they determine and can ignore the rest of the space.  ... 
doi:10.4324/9781315806334-4 fatcat:ywho24vo7vbwbjd4gmol3z7efa

A Design Process Model based on Design Working Spaces [chapter]

H. Grabowski, R.-S. Lossack, C. Weis
1996 IFIP Advances in Information and Communication Technology  
Then we introduce so called design working spaces to structure and administer design solutions.  ...  Another approach followed by the researchers of CAD systems was concentrated on information modeling. Until now there was no approach combining these two different approaches consequently.  ...  The pairs of design (solution) directions are abstraction-concretion, combining-detailing and variation-limiting.  ... 
doi:10.1007/978-0-387-34930-5_16 fatcat:hofsaxfu2rdilkxond3olr7cty

Space, Shape and Movement in Signing and the Gendering of Visual Languages [chapter]

Katarzyna Wojtanik
2017 Women's Space and Men's Space  
The convention of comparison allows signers to compare two phenomena by locating them on the right and on the left in the sign space, thus giving them equal but juxtaposing position.  ...  information) 4) the hold of a topic on one hand while the other hand signs related information (topic -comment structure) 5) the hold of an enumeration morpheme on one hand while the other hand signs  ... 
doi:10.18778/8142-006-8.08 fatcat:o6f2obz3tfhtthogqzgg4iziae

Space Energy [chapter]

Mikhail Ja.
2012 Energy Conservation  
However alongside with the mentioned up-and-coming directions one should not forget about classic physics models up to limits of ditto time standardized models.  ...  We show the Cosmic Space contains gaseous medium of HMBs with temperature T=2.725 K and study in detail this medium.  ...  Kokorev and B.O. Muravyov for their help in preparation of the chapter.  ... 
doi:10.5772/52493 fatcat:jg7zlmoy6vfv5ivmzrabwdzf7y

q-Measurement Scheme set in Quantum Photonic Frameworks: Linking Abstract Space and Lab Spaces [article]

O. Tapia
2020 arXiv   pre-print
Abstract and laboratory spaces are incommensurate, linking them leads to a possible physical q-measurement theory.  ...  A physical quantum measurement theory obtains grounded on these elements including quantum information concepts.  ...  Ludeña is cordially thanked for cogent and enlightening discussions.  ... 
arXiv:2002.08453v1 fatcat:eqb6zafhdzen3gyamlc3vnnglq

A journey in color space

John Krauskopf
2000 Color Research and Application  
Studies of the influence of the chromatic content of stimuli on vernier acuity and motion thresholds and on temporal modulation sensitivity support the conjecture that, while chromatic stimuli are processed  ...  The variation of the relative sensitivity of the L and M cones with temporal frequency, together with analysis of the statistics of color appearance of small, brief, near threshold monochromatic stimuli  ...  I wish to express my appreciation to the International Colour Vision Society for bestowing upon me the Verriest Medal and to thank the many colleagues with whom I had the pleasure of working over the years  ... 
doi:10.1002/1520-6378(2001)26:1+<::aid-col2>;2-c fatcat:hngtjctlhvg4dg57b4q2agjcw4

Spaces in Theory, Spaces in History and Spatial Historiographies [chapter]

Mike Crang
2016 Political Space in Pre-industrial Europe  
But for many social science and humanities approaches space often had a fairly passive role --a stage on which temporal processes occur or something that offers local colour minor variations on the main  ...  That is it will move us beyond the listing of places or the analysis of variations in space and time to ask what manner of space we are investigating.  ... 
doi:10.4324/9781315601229-14 fatcat:s7we5sursnajbfhwv4wtnzojve

Epidemic space

Joost van Loon
2005 Critical Public Health  
I will draw on Latour's Actor Network Theory to argue that epidemic space is geared towards instability when the vortex (of expanding associations and concerns) displaces the index (of finding a single  ...  I will argue that epidemic space consists of three types of forces: the vector, the index and the vortex.  ...  Eyles and Woods, 1983) However, equally important is the subsequent link with abstraction. It is through abstraction that 'logos' is added to epidemic.  ... 
doi:10.1080/09581590500048374 fatcat:p6waz6ebcbdu7jdpgffdya5hi4

Generalized Axiomatic Scale-Space Theory [chapter]

Tony Lindeberg
2013 Advances in Imaging and Electron Physics  
(Gaussian) scale-space concepts that satisfy these conditions on isotropic spatial, non-isotropic spatial and spatio-temporal domains, which results in a general taxonomy of Gaussian scale-spaces for  ...  The resulting theory allows filter shapes to be tuned from specific context information and provides a theoretical foundation for the recently exploited mechanisms of affine shape adaptation and Galilean  ...  We propose that this generalized axiomatic scale-space framework constitutes both a natural, theoretically well-founded and general basis to consider (i) when designing visual front-end operations for  ... 
doi:10.1016/b978-0-12-407701-0.00001-7 fatcat:is5wtfdsjjblpe453pghfz3pyy

Large State Space Visualization [chapter]

Jan Friso Groote, Frank van Ham
2003 Lecture Notes in Computer Science  
Insight in the global structure of a state space is of great help in the analysis of the underlying process. We present a tool to visualize the structure of very large state spaces.  ...  It uses a clustering method to obtain a simplified representation, which is used as a backbone for the display of the entire state space.  ...  The most common approach to obtain insight in the structure of large state spaces is by abstracting from actions and/or state information, and by reducing the state space modulo a suitable equivalence.  ... 
doi:10.1007/3-540-36577-x_42 fatcat:etfn266pgnbrjakqhzsv4wagre

Kantorovich Spaces and Optimization

A. G. Kusraev, S. S. Kutateladze
2006 Journal of Mathematical Sciences  
This is an expository talk on interaction between mathematical programming and vector lattices at the Kantorovich Memorial (St. Petersburg, January 9-13, 2004).  ...  The introduction of such a space allows us to study linear operations of one abstract class (those with values in such a space) as linear functionals."  ...  Recall that by an erased Kspace we mean a group that results from some K-space by neglecting multiplication by real numbers; i.e. by forgetting part of information about the space. 3.4.  ... 
doi:10.1007/s10958-006-0060-7 fatcat:lnbsx7hdebfizngigv2xn26c2y

Semantic Modelling of Space [chapter]

Andrzej Pronobis, Patric Jensfelt, Kristoffer Sjöö, Hendrik Zender, Geert-Jan M. Kruijff, Oscar Martinez Mozos, Wolfram Burgard
2010 Cognitive Systems Monographs  
The measurement subspace, or M-space, is an abstraction of the measured subspace of the feature space that reflects symmetries and constraints.  ...  In contrast, the navigation and topological layers encode more abstract information about the space accessible to the robot, particularly important from the functional point of view.  ... 
doi:10.1007/978-3-642-11694-0_5 fatcat:f2bloj56snevhoa2ti6u2c65pm
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