Search results

...08-05 |url-status=dead }}</ref> sometimes called '''BPLP''' (Bounded-error Probabilistic Logarithmic-space Polynomial-time),<ref>{{citation ...s with [[two-sided error]]. It is named in analogy with '''[[Bounded-error probabilistic polynomial|BPP]]''', which is similar but has no logarithmic space restrict ...

...ut|the area in computer science|the area in applied mathematics|Structural complexity (applied mathematics)}} ...classes.<ref name=jha>[[Juris Hartmanis]], "New Developments in Structural Complexity Theory" (invited lecture), Proc. 15th [[International Colloquium on Automat ...

'''PL''', or probabilistic [[L (complexity)|L]], is the class of languages recognizable by a polynomial time logarithm ...whether matrix [[Permanent (mathematics)|permanent]] is positive is [[PP (complexity)|PP]] complete. ...

| title = Quantum Complexity Theory ...ation]] between [[Complexity class|complexity classes]] [[BQP]] and [[BPP (complexity)|BPP]].<ref name="BV97"/> ...

...to the quantum version of the [[Cook–Levin theorem]]. Quantum Hamiltonian complexity has helped physicists understand the difficulty of simulating physical syst ...au | first3 = Zeph |last4 = Shin | first4= Seung Woo |title = Hamiltonian complexity|journal = Reports on Progress in Physics|year = 2014|volume = 75|issue = 2 ...

...ral number]]s''' are a mathematical model used in studying [[computational complexity theory]]. They are a special case of [[circuit (computer theory)|circuit]]s A natural number circuit is a [[circuit complexity|circuit]], i.e. a labelled [[directed acyclic graph]] of in-degree at most ...

...ing problem''' is a classical problem in [[computational complexity theory|complexity theory]], with several applications in [[cryptography]]. In short, given tw ...um computer]]s are used, Seiichiro Tani showed that a claw can be found in complexity ...

...math>, where <math>I</math> is the [[identity matrix]]. In [[computational complexity theory]], '''DQC1'''; also known as the '''Deterministic quantum computati ...''amplified'' to a fixed gap such as (1/3,2/3). A notable outlier is [[PP (complexity)|PP]], which permits exponentially small gaps. ...

{{about|the complexity class|the coaxial RF connector|QMA and QN connector}} In [[computational complexity theory]], '''QMA''', which stands for '''Quantum [[Arthur–Merlin protocol|M ...

Let <math>\mathcal{C}</math> and <math>\mathcal{H}</math> be concept classes containing target concepts and hypotheses respectively. Then, for constants ...ssler, D., & Warmuth, M. K. (1987). ''[http://www.cse.buffalo.edu/~hungngo/classes/2008/694/papers/occam.pdf Occam's razor]''. Information processing letters, ...

'''Averaged one-dependence estimators''' ('''AODE''') is a probabilistic [[Classifier (mathematics)|classification learning]] technique. It was dev ...o determine the confidence with which each classification can be made. Its probabilistic model can directly handle situations where some data are missing. ...

{{Short description|Computational complexity of quantum algorithms}} ...en quantum complexity classes and classical (i.e., non-quantum) complexity classes. ...

{{Short description|Cellular automaton with probabilistic rules}} '''Stochastic cellular automata''' or '''probabilistic cellular automata''' ('''PCA''') or '''random cellular automata''' or '''lo ...

...ant in 1979.<ref>{{Cite journal|doi=10.1016/0304-3975(79)90044-6|title=The complexity of computing the permanent|journal=Theoretical Computer Science|volume=8|is ...is shown to be hard, then it provides a [[Computational complexity theory|complexity theoretic]] explanation for the lack of nice looking formulas.<ref>{{Cite w ...

...Consider model classes consisting of models of given maximal [[Kolmogorov complexity]]. ...unction''' of an individual data string expresses the relation between the complexity level constraint on a model class and the least log-cardinality of a model ...

...n algorithms for these problems have optimal or near-optimal time {{nowrap|complexity.{{r|ip99}}}} ...ential function depending on <math>k</math>. For instance, the [[WalkSAT]] probabilistic algorithm can solve {{nowrap|<math>k</math>-SAT}} in average time <math dis ...

...ld]] of order ''p''; it is the field of [[residue class#Ring of congruence classes|residue class]]es modulo ''p'', and its ''p'' elements are denoted 0, 1, .. === Complexity === ...

...{math|1/''d''²}}. This bound is close to tight: they used the [[probabilistic method]] to prove the existence of graphs with maximum degree {{mvar|d}} wh ==Special classes of graphs== ...

...sue=Mar |pages=499–526 |issn=1533-7928}}</ref> It was shown that for large classes of learning algorithms, notably [[empirical risk minimization]] algorithms, ...rror. The result was later extended to almost-ERM algorithms with function classes that do not have unique minimizers. ...

In the case of multiclass networks with ''R'' classes of customers, each queue ''k'' can feature different service rates ''μ''<su ...}=(m_1,\ldots,m_R)</math> is a vector of customer population for the ''R'' classes and <math>1_r</math> subtracts one from the ''r''-th element of <math>\math ...