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» On the Structure of Valiant's Complexity Classes
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TIT
2010
105views Education» more  TIT 2010»
13 years 3 months ago
DMT optimality of LR-aided linear decoders for a general class of channels, lattice designs, and system models
The work identifies the first general, explicit, and non-random MIMO encoder-decoder structures that guarantee optimality with respect to the diversity-multiplexing tradeoff (DMT),...
Joakim Jalden, Petros Elia
COLT
2006
Springer
14 years 9 days ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
CIE
2009
Springer
14 years 3 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
JMLR
2006
118views more  JMLR 2006»
13 years 8 months ago
Learning Factor Graphs in Polynomial Time and Sample Complexity
We study the computational and sample complexity of parameter and structure learning in graphical models. Our main result shows that the class of factor graphs with bounded degree...
Pieter Abbeel, Daphne Koller, Andrew Y. Ng
CCIA
2008
Springer
13 years 10 months ago
On the Dimensions of Data Complexity through Synthetic Data Sets
Abstract. This paper deals with the characterization of data complexity and the relationship with the classification accuracy. We study three dimensions of data complexity: the len...
Núria Macià, Ester Bernadó-Ma...