Adrian Robert

Papers Online

The following papers are in PDF format. Download full text by clicking on the PDF link. Read an abstract by clicking on the abstract link.

Lamination and Within-Area Integration in the Neocortex (1999)    PDF

 Robert, A. (1999); "Lamination and Within-Area Integration in
        the Neocortex", Doctoral Dissertation, University of
	California at San Diego, Cognitive Science Department.
My doctoral dissertation focuses on bridging from cortical anatomy to computational models for Hebbian development in non-primary cortex. After a review of neocortical evolution, inter-species and inter-area cytoarchitectural variation, and major theories of the role feedforward and feedback connections in sensory processing, it describes how I compiled cell distribution and connection data focusing on rat primary sensory cortex and built two detailed models from it using single-compartment spiking cells, both of which were compared with slice experiments. The second model reduced the number of layers and cell populations from the first, and I then simplified this into an architecture with 3 (non-spiking) cell layers and a 3 x 3 matrix of "lateral" interactions within and between them. Under Hebbian learning algorithms similar to those employed for studying development of orientation selectivity in primary visual cortex, I show that the 3-layer structure is better able to integrate multiple inputs with different arbor widths and strengths as are seen in real neocortical feedforward and feedback connections. Dr. Martin I. Sereno was my advisor.
(The above link is to a version formatted for two-sided printing. If you don't have access to an appropriate printer, please use this version (PDF) instead, which formats two-pages-on-one, to save a little paper.)
View abstract and introduction.

Pyramidal Arborizations and Activity Spread in Neocortex (1998)    PDF

Robert, A. (1999); "Pyramidal Arborizations and Activity Spread in
	Neocortex" in Neurocomputing 26-27:483-90.
This journal/conference paper provides a compressed version of the first third or so of the work described above in connection with my dissertation. A cortical model with 3 layers and 13 spiking cell populations was constructed from anatomical data and compared with slice experiments. Interlayer interaction functions suitable for use in non-spiking and Hebbian learning models are calculated.
View abstract.

Laminated Models of Within-Area Integration in the Neocortex (2002)    PDF

Robert, A. (2002); "Laminated Models of Within-Area Integration in the
    Neocortex"; currently submitted.
This manuscript submitted for publication is a rather expanded version of the previous paper.
View abstract.

Blending and Other Conceptual Operations in the Interpretation of Mathematical Proofs (1998)    PDF

Robert, A. (1998); "Blending and Other Conceptual Operations in the
        Interpretation of Mathematical Proofs", in Koenig, J.P. (ed.),
	Discourse and Cognition: Bridging the Gap, pp. 337-50.
This paper describes the application of notions from cognitive semantics - image schemas and metaphorical mapping - to understanding mathematical reasoning. Professor Gilles Fauconnier has played a major role in helping me develop these ideas.
View extended abstract.

Cognitive Structures and Processes in the Interpretation of Mathematical Proofs (2001)    PDF

Robert, A. (2002); "Cognitive Structures and Processes in the Interp-
    retation of Mathematical Proofs"; unpublished manuscript.
This is a much longer exposition of the work described in the paper above, including several extensions. It was submitted to a journal but requires revision. I hope to get to this in early 2003, but for now I am offering the present version for anyone who is interested. Feedback, particularly from practicing mathematicians, is welcome.
View abstract.

From Contour Completion to Image Schemas: A Modern Perspective on Gestalt Psychology (1997)    PDF

Robert, A. (1997); "From Contour Completion to Image Schemas: A Modern
        Perspective on Gestalt Psychology", UCSD Department of Cognitive
	Science Technical Report 9702, available from
This technical report assesses the Gestalt grouping laws and the principles behind them in the light of experimental data and modeling results from modern neuroscience. It suggests that although the grouping principles are in need of revision, the general philosophy of the Gestalt approach -- that energy minimization acting at the level of dynamic neural activity underlies a wide range of psychological phenomena -- is valid and useful in the context of contemporary cognitive science. In particular, the Gestalt theory is highly compatible with present concepts and theoretical constructs in cognitive semantics, itself a framework tying together diverse cognitive phenomena.
View abstract, outline, and conclusions.

See my research page for more information.

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