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Information-Based complexity: New questions for mathematicians

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Outgoing claims: the papers this work cites, builds on, or argues with.

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How to Multiply Matrices Faster
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Solving Linear Equations by Means of Scalar Products
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Bisection is not optimal on the average
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Gaussian elimination is not optimal
inferredcites →https://doi.org/10.1016/0167-6377(82)90047-5openalex-snapshot
Complexity of linear programming
inferredcites →https://doi.org/10.1016/0378-4754(89)90072-4openalex-snapshot
Information-based complexity
inferredcites →https://doi.org/10.1016/0885-064x(87)90003-3openalex-snapshot
On the optimality of Krylov information
inferredcites →https://doi.org/10.1016/0885-064x(88)90015-5openalex-snapshot
Approximation of smooth periodic functions in several variables
inferredcites →https://doi.org/10.1016/0885-064x(89)90009-5openalex-snapshot
A clock synchronization problem with random delays
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Matrix multiplication via arithmetic progressions
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METHODS OF COMPUTING VALUES OF POLYNOMIALS
inferredcites →https://doi.org/10.1090/s0273-0979-1987-15511-xopenalex-snapshot
Recent developments in information-based complexity
inferredcites →https://doi.org/10.1090/s0273-0979-1989-15750-9openalex-snapshot
On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines
inferredcites →https://doi.org/10.1126/science.243.4895.1142-aopenalex-snapshot
Information-Based Complexity
inferredcites →https://doi.org/10.1137/0721041openalex-snapshot
Complexity of Solving Linear Systems in Different Models of Computation
inferredcites →https://doi.org/10.1145/28395.28396openalex-snapshot
Matrix multiplication via arithmetic progressions
inferredcites →https://doi.org/10.1145/828.830openalex-snapshot
On the Optimal Solution of Large Linear Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On the Power of Adaption
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A Refined Model of Computation for Continuous Problems
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Information-based complexity: Recent results and open problems
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On Smale’s Work in the Theory of Computation: From Polynomial Zeros to Continuous Complexity
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What Makes a System Complex? - An Approach to Self Organization and Emergence
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The average case complexity of the Fredholm equation of second kind with free term in H r (?)
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Parallel information-based complexity of numerical integration on Sobolev class Wsq(Ω)
inferred← citeshttps://doi.org/10.1007/bf02836882openalex-snapshot
The average case complexity of the shift—Invariant problem
inferred← citeshttps://doi.org/10.1016/0167-739x(94)00068-popenalex-snapshot
Probabilistic parallel programming based on multiset transformation
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Average case complexity of linear multivariate problems I. Theory
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Chapter 14 Numerical dynamic programming in economics
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Approximation of functions: Optimal sampling and complexity
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Parallel information-based complexity of numerical integration on holder classHs,αM(Ω)∗
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The worst case complexity of the fredholm equation with periodic free term and noisy information∗
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The worst case complexity of the fredholm equation of the second kind with non-periodic free term and noise information
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Perspectives on information-based complexity
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Vector quantization with variable-precision classification
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A coding and control mechanism of natural computation
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Complexity Of Neural Network Learning In The Real Number Model
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Probabilistic concurrent programming using multiset transactions
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Computational Power of Quantum Machines, Quantum Grammars and Feasible Computation
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Methods for Approximating Integrals in Statistics with Special Emphasis on Bayesian Integration Problems
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5. Optimality criteria for probabilistic numerical methods
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On Reality and Models
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