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» Dimension Characterizations of Complexity Classes
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TARK
2007
Springer
14 years 1 months ago
The computational complexity of choice sets
Social choice rules are often evaluated and compared by inquiring whether they fulfill certain desirable criteria such as the Condorcet criterion, which states that an alternativ...
Felix Brandt, Felix A. Fischer, Paul Harrenstein
AAAI
2008
13 years 9 months ago
A General Method for Reducing the Complexity of Relational Inference and its Application to MCMC
Many real-world problems are characterized by complex relational structure, which can be succinctly represented in firstorder logic. However, many relational inference algorithms ...
Hoifung Poon, Pedro Domingos, Marc Sumner
NIPS
2008
13 years 8 months ago
On the Complexity of Linear Prediction: Risk Bounds, Margin Bounds, and Regularization
This work characterizes the generalization ability of algorithms whose predictions are linear in the input vector. To this end, we provide sharp bounds for Rademacher and Gaussian...
Sham M. Kakade, Karthik Sridharan, Ambuj Tewari
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 months ago
Matroid Pathwidth and Code Trellis Complexity
We relate the notion of matroid pathwidth to the minimum trellis state-complexity (which we term trellis-width) of a linear code, and to the pathwidth of a graph. By reducing from ...
Navin Kashyap
COCOON
2007
Springer
14 years 1 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan