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» Dimension Characterizations of Complexity Classes
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APAL
2006
64views more  APAL 2006»
13 years 7 months ago
What can be efficiently reduced to the Kolmogorov-random strings?
We investigate the question of whether one can characterize complexity classes (such as PSPACE or NEXP) in terms of efficient reducibility to the set of Kolmogorovrandom strings R...
Eric Allender, Harry Buhrman, Michal Koucký
CSR
2007
Springer
14 years 1 months ago
On the Complexity of Matrix Rank and Rigidity
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
Meena Mahajan, Jayalal M. N. Sarma
CDC
2009
IEEE
127views Control Systems» more  CDC 2009»
13 years 10 months ago
A new perspective on control of uncertain complex systems
— In this article, we investigate a new class of control problems called Ensemble Control, a notion coming from the study of complex spin dynamics in Nuclear Magnetic Resonance (...
Shin Li
FOCS
2009
IEEE
14 years 2 months ago
A Complete Characterization of Statistical Query Learning with Applications to Evolvability
Statistical query (SQ) learning model of Kearns is a natural restriction of the PAC learning model in which a learning algorithm is allowed to obtain estimates of statistical prop...
Vitaly Feldman
FOCS
1998
IEEE
13 years 11 months ago
A Linguistic Characterization of Bounded Oracle Computation and Probabilistic Polynomial Time
We present a higher-order functional notation for polynomial-time computation with arbitrary 0; 1-valued oracle. This provides a linguistic characterization for classes such as np...
John C. Mitchell, Mark Mitchell, Andre Scedrov