Refereed full papers (journals, book chapters, international conferences)

1993

@article{WiO1993,
	vgclass =	{refpap},
	vgproject =	{nn},
	author =	{Janet Wiles and Mark Ollila},
	title =	{Intersecting regions: The key to combinatorial structure
	in hidden unit space},
	journal =	{Advances in Neural Information Processing Systems},
	volume =	{5},
	pages =	{27--33},
	year =	{1993},
	abstract =	{Hidden units in multi-layer networks form a representation
	space in which each region can be identified with a class of equivalent
	outputs or a logical state in a finite state machine. We extend the
	analysis of the spatial structure of hidden unit space to a
	combinatorial task, based on binding features together in a visual
	scene. The logical structure requires a combinatorial number of states
	to represent all valid scenes. On analysing our networks, we find that
	the high dimensionality of hidden unit space is exploited by using the
	intersection of neighbouring regions to represent conjunctions of
	features. These results show how combinatorial structure can be based
	on the spatial nature of networks, and not just on their emulation of
	logical structure.},
}