Computational complexity with experiments as oracles
… an oracle reveals the need for a theory of oracles whose queries involve errors, time and
other resources, and non-determinism. We analyse the complexity of computations … complexity …
other resources, and non-determinism. We analyse the complexity of computations … complexity …
Computational complexity with experiments as oracles. II. Upper bounds
… physical experiment as a new form of oracle. We focused on the design and operation of these
computational … with such physical oracles? In Beggs et al. (2008a), we chose a particular …
computational … with such physical oracles? In Beggs et al. (2008a), we chose a particular …
[PDF][PDF] Physical Experiments as Oracles.
… Here we will concentrate on the theory of using a physical experiment as an oracle to an …
of computational complexity. Suppose we wish to study the complexity of computations by …
of computational complexity. Suppose we wish to study the complexity of computations by …
The impact of models of a physical oracle on computational power
… Using physical experiments as oracles for algorithms, we can characterise the … actually
studying T-computability and T-computational complexity. Our approach has been applied in a …
studying T-computability and T-computational complexity. Our approach has been applied in a …
Axiomatizing physical experiments as oracles to algorithms
… of computation with physical oracles. We develop three sets of axioms for experimental …
characterization theorems of the power of experiments as oracles. The axioms specify the …
characterization theorems of the power of experiments as oracles. The axioms specify the …
The complexity of large-scale convex programming under a linear optimization oracle
G Lan - arXiv preprint arXiv:1309.5550, 2013 - arxiv.org
… We also demonstrate through our preliminary numerical experiments that one of these new
… lower complexity bounds for solving different classes of CP problems under an LO oracle in …
… lower complexity bounds for solving different classes of CP problems under an LO oracle in …
Computations with oracles that measure vanishing quantities
… in which physical experiments that measure quantities can be used as oracles to algorithms
… the computational power of various forms of experiment using non-uniform complexity …
… the computational power of various forms of experiment using non-uniform complexity …
Classifying the computational power of stochastic physical oracles
… with regard to physical accuracy or computational complexity. Even in kinematic systems …
F(σ), so if we make ξ oracle calls, the number of times α that the experiment returns ‘yes’ is a …
F(σ), so if we make ξ oracle calls, the number of times α that the experiment returns ‘yes’ is a …
[PDF][PDF] Comparing complexity classes relative to physical oracles
… We develop the idea of using a physical experiment as an oracle to an algorithm. Of particular
… theories place strong restrictions on computational complexity with physical oracles; …
… theories place strong restrictions on computational complexity with physical oracles; …
On the complexity of trial and error
… extensively in product design and experiments [32]. Generally … two oracles, the verification
oracle and the computation oracle … notation in computational complexity theory for complexity …
oracle and the computation oracle … notation in computational complexity theory for complexity …