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» The Proof Complexity of Linear Algebra
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NIPS
2008
13 years 9 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
ICTCS
2003
Springer
14 years 1 months ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
CRYPTO
2008
Springer
186views Cryptology» more  CRYPTO 2008»
13 years 9 months ago
Communication Complexity in Algebraic Two-Party Protocols
In cryptography, there has been tremendous success in building various two-party protocols with small communication complexity out of homomorphic semantically-secure encryption sc...
Rafail Ostrovsky, William E. Skeith III
CDC
2010
IEEE
126views Control Systems» more  CDC 2010»
13 years 2 months ago
An algebraic framework for quadratic invariance
In this paper, we present a general algebraic framework for analysing decentralized control systems. We consider systems defined by linear fractional functions over a commutative ...
Laurent Lessard, Sanjay Lall
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel