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searching for Approximation error 63 found (83 total)

Yates's correction for continuity (463 words) [view diff] no match in snippet view article find links to article

In statistics, Yates's correction for continuity (or Yates's chi-squared test) is used in certain situations when testing for independence in a contingency

Quasi-Monte Carlo method (1,741 words) [view diff] exact match in snippet view article find links to article

quasi-Monte Carlo method are beneficial in these situations. The approximation error of the quasi-Monte Carlo method is bounded by a term proportional

Basis expansion time-frequency analysis (665 words) [view diff] exact match in snippet view article find links to article

signal with small approximation error. Some matching pursuit algorithms are proposed in reference papers to minimize approximation error when given the amount

Le Cam's theorem (408 words) [view diff] exact match in snippet view article find links to article

approximately a Poisson distribution and the above inequality bounds the approximation error in terms of the total variation distance. By setting pi = λn/n, we

Overfitting (2,835 words) [view diff] exact match in snippet view article find links to article

severely when making predictions. Overfitting is directly related to approximation error of the selected function class and the optimization error of the

Taylor series (8,253 words) [view diff] no match in snippet view article find links to article

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives

Curvelet (1,281 words) [view diff] exact match in snippet view article find links to article

represented using only n {\displaystyle n} wavelets, and analysing the approximation error as a function of n {\displaystyle n} . For a Fourier transform, the

HEAAN (1,734 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\text{Dec}}(sk,{\text{Enc}}(pk,m))\approx m} , and the approximation error is determined by the choice of distributions χ s , χ e , χ r {\displaystyle

Matching pursuit (2,179 words) [view diff] exact match in snippet view article find links to article

atoms one at a time in order to maximally (greedily) reduce the approximation error. This is achieved by finding the atom that has the highest inner

Hp-FEM (1,905 words) [view diff] exact match in snippet view article find links to article

knowledge of the exact solution makes it possible to calculate the approximation error exactly and thus compare various numerical methods. For illustration

Approximate Competitive Equilibrium from Equal Incomes (1,050 words) [view diff] exact match in snippet view article find links to article

On the flip side, A-CEEI has several disadvantages: There is an approximation error in the items that are allocated - some items might be in excess demand

Rate of convergence (5,628 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mu } will involve the asymptotic limit of the ratio of an approximation error term above to an asymptotic order q {\displaystyle q} power of a

FLAME clustering (617 words) [view diff] case mismatch in snippet view article find links to article

Fuzzy Memberships is a procedure to minimize the Local/Neighborhood Approximation Error (LAE/NAE) defined as the following: E ( { p } ) = ∑ x ∈ X ‖ p ( x

Miller's recurrence algorithm (856 words) [view diff] exact match in snippet view article find links to article

a_{M+1}} and later terms are zero. Finally, it is confirmed that the approximation error of the procedure is acceptable by repeating the procedure with a

Paraxial approximation (329 words) [view diff] exact match in snippet view article find links to article

ScienceWorld. Wolfram Research. Retrieved 15 January 2014. "Paraxial approximation error plot". Wolfram Alpha. Wolfram Research. Retrieved 26 August 2014

Kosambi–Karhunen–Loève theorem (10,711 words) [view diff] exact match in snippet view article find links to article

optimize the approximation we design a basis that minimizes the average approximation error. This section proves that optimal bases are Karhunen–Loeve bases

Low-rank approximation (3,855 words) [view diff] exact match in snippet view article find links to article

required. The Frobenius norm weights uniformly all elements of the approximation error D − D ^ {\displaystyle D-{\widehat {D}}} . Prior knowledge about

Spectral graph theory (1,838 words) [view diff] case mismatch in snippet view article find links to article

(September 2016). "Spectral Graph Wavelets and Filter Banks With Low Approximation Error". IEEE Transactions on Signal and Information Processing over Networks

Newton–Cotes formulas (1,167 words) [view diff] exact match in snippet view article find links to article

of the step size h in the error term gives the rate at which the approximation error decreases. The order of the derivative of f in the error term gives

Quasiconvex function (1,448 words) [view diff] exact match in snippet view article find links to article

polynomial in the dimension of the problem (and in the reciprocal of the approximation error tolerated); however, such theoretically "efficient" methods use "divergent-series"

Gauss–Kronrod quadrature formula (901 words) [view diff] exact match in snippet view article find links to article

rule and its Kronrod extension are often used as an estimate of the approximation error. A popular example combines a 7-point Gauss rule with a 15-point

Numerical integration (3,264 words) [view diff] exact match in snippet view article find links to article

any numerical integration method is to study the behavior of the approximation error as a function of the number of integrand evaluations. A method that

Runge–Kutta method (SDE) (1,200 words) [view diff] exact match in snippet view article

{\displaystyle \delta } . This scheme has strong order 1, meaning that the approximation error of the actual solution at a fixed time scales with the time step

Fréchet distance (1,884 words) [view diff] exact match in snippet view article find links to article

than the corresponding (continuous) Fréchet distance. However, the approximation error is bounded by the largest distance between two adjacent vertices

Isogeometric analysis (2,363 words) [view diff] exact match in snippet view article find links to article

with respect to the finite element method: There is no geometric approximation error, due to the fact the domain is represented exactly Wave propagation

Berry–Esseen theorem (1,929 words) [view diff] exact match in snippet view article find links to article

on a graph) by no more than the specified amount. Note that the approximation error for all n (and hence the limiting rate of convergence for indefinite

Smoothing spline (2,309 words) [view diff] exact match in snippet view article find links to article

manifold learning. This method combines the least squares penalty for approximation error with the bending and stretching penalty of the approximating manifold

Principal component analysis (14,372 words) [view diff] case mismatch in snippet view article find links to article

Miranda, Y. A. Le Borgne, and G. Bontempi. New Routes from Minimal Approximation Error to Principal Components, Volume 27, Number 3 / June, 2008, Neural

Spline (mathematics) (4,481 words) [view diff] exact match in snippet view article

determined to minimize a weighted combination of the average squared approximation error over observed data and the roughness measure. For a number of meaningful

PALISADE (software) (946 words) [view diff] case mismatch in snippet view article

Yuriy (2020). "Approximate Homomorphic Encryption with Reduced Approximation Error". Cryptology ePrint Archive. Ducas, Leo; Micciancio, Daniele (2015)

Composite Bézier curve (1,922 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbf {k} } of control points which result in the least approximation error for a given number of cubic segments. Considering only the 90-degree

Simplicial depth (686 words) [view diff] exact match in snippet view article find links to article

a more accurate approximation algorithm is known, for which the approximation error is a small multiple of the simplicial depth itself. The same methods

Benford's law (7,395 words) [view diff] exact match in snippet view article find links to article

17–34. Dümbgen, L; Leuenberger, C (2008). "Explicit bounds for the approximation error in Benford's Law". Electronic Communications in Probability. 13:

Rademacher complexity (2,607 words) [view diff] case mismatch in snippet view article find links to article

Learning Research 3 463–482 Giorgio Gnecco, Marcello Sanguineti (2008) Approximation Error Bounds via Rademacher's Complexity. Applied Mathematical Sciences

OpenFHE (1,018 words) [view diff] case mismatch in snippet view article find links to article

Yuriy (2020). "Approximate Homomorphic Encryption with Reduced Approximation Error". {{cite journal}}: Cite journal requires |journal= (help) Ducas

Phase correlation (1,774 words) [view diff] exact match in snippet view article find links to article

interpolation method choice may be larger than any numerical or approximation error in the particular method. Subpixel methods are also particularly

Statistical inference (5,519 words) [view diff] exact match in snippet view article find links to article

of probability distributions is studied; this approach quantifies approximation error with, for example, the Kullback–Leibler divergence, Bregman divergence

Linear differential equation (4,757 words) [view diff] exact match in snippet view article find links to article

coefficients), evaluation to a high precision with certified bound of the approximation error, limits, localization of singularities, asymptotic behavior at infinity

Non-linear least squares (4,538 words) [view diff] exact match in snippet view article find links to article

size should be chosen so the numerical derivative is not subject to approximation error by being too large, or round-off error by being too small. Some information

Dither (4,928 words) [view diff] exact match in snippet view article find links to article

modeled after the principles of Electrostatics, which has a low approximation error and creates few visual artifacts Stimulated Brillouin scattering

Ensemble learning (6,574 words) [view diff] exact match in snippet view article find links to article

S2CID 14357246. Clarke, B., Bayes model averaging and stacking when model approximation error cannot be ignored, Journal of Machine Learning Research, pp 683-712

Fast Fourier transform (7,525 words) [view diff] exact match in snippet view article find links to article

the expense of increased computations. Such algorithms trade the approximation error for increased speed or other properties. For example, an approximate

Finite element method (7,917 words) [view diff] exact match in snippet view article find links to article

integral to zero. In simple terms, it is a procedure that minimizes the approximation error by fitting trial functions into the PDE. The residual is the error

Pearson correlation coefficient (8,545 words) [view diff] exact match in snippet view article find links to article

={\text{SE}}={\frac {1}{\sqrt {n-3}}},} where n is the sample size. The approximation error is lowest for a large sample size n {\displaystyle n} and small r

Wavelet (7,230 words) [view diff] exact match in snippet view article find links to article

as a Gaussian. The choice of windowing function will affect the approximation error relative to the true Fourier transform. A given resolution cell's

Gradient discretisation method (2,302 words) [view diff] exact match in snippet view article find links to article

conformity. Note that the following upper and lower bounds of the approximation error can be derived: Then the core properties which are necessary and

Homomorphic encryption (4,409 words) [view diff] case mismatch in snippet view article find links to article

A., Polyakov Y. Approximate Homomorphic Encryption with Reduced Approximation Error, In CT-RSA 2022 (Springer) Li, Baily; Micciancio, Daniele (2020)

Remez algorithm (2,641 words) [view diff] exact match in snippet view article find links to article

\max \,\{|z_{i}|\}} as lower and upper bound for the best possible approximation error, one has a reliable stopping criterion: repeat the steps until max

MPEG-1 (10,881 words) [view diff] exact match in snippet view article find links to article

quantization in the encoder (as described in the next section) and by IDCT approximation error in the decoder. The minimum allowed accuracy of a decoder IDCT approximation

Nyquist–Shannon sampling theorem (6,711 words) [view diff] exact match in snippet view article find links to article

like the zero-order hold. In that case, oversampling can reduce the approximation error. Poisson shows that the Fourier series in Eq.1 produces the periodic

Normal distribution (22,488 words) [view diff] exact match in snippet view article find links to article

in the tails of the distribution. A general upper bound for the approximation error in the central limit theorem is given by the Berry–Esseen theorem

Minimum-weight triangulation (3,289 words) [view diff] exact match in snippet view article find links to article

the NP-hardness of finding an approximate solution with relative approximation error at most O(1/n2). Thus, a fully polynomial approximation scheme for

Pólya urn model (3,095 words) [view diff] exact match in snippet view article find links to article

scheme in which the actual urn content was not hidden from them. The approximation error here relates to the fact that an urn containing a known finite number

Gaussian quadrature (6,792 words) [view diff] exact match in snippet view article find links to article

rule and its Kronrod extension is often used as an estimate of the approximation error. Also known as Lobatto quadrature, named after Dutch mathematician

Probabilistic numerics (4,266 words) [view diff] exact match in snippet view article find links to article

large datasets. In particular, they enable exact propagation of the approximation error to a combined Gaussian process posterior, which quantifies the uncertainty

Binomial proportion confidence interval (6,185 words) [view diff] exact match in snippet view article find links to article

interval concepts, Michael Short has shown that inequalities on the approximation error between the binomial distribution and the normal distribution can

Methods of computing square roots (12,033 words) [view diff] exact match in snippet view article find links to article

approximation of the square root, with X n {\displaystyle X_{n}} being the approximation error. For example, in the decimal number system we have S = ( a 1 ⋅ 10

Generalized functional linear model (2,869 words) [view diff] exact match in snippet view article find links to article

differentiable link function with bounded first derivative, the approximation error of the p {\displaystyle p} -truncated model i.e. the linear predictor

Solomon Mikhlin (4,613 words) [view diff] exact match in snippet view article find links to article

numerical processes, proposing the following classification of errors. Approximation error: is the error due to the replacement of an exact problem by an approximating

Approximate Bayesian computation (8,982 words) [view diff] exact match in snippet view article find links to article

of the posterior. One of the challenges here is that a large ABC approximation error may heavily influence the conclusions about the usefulness of a statistic

Particle filter (16,933 words) [view diff] exact match in snippet view article find links to article

Carlo, can give all the moments etc. of the distribution up to some approximation error. When the approximation equation (Eq. 2) is satisfied for any bounded

Gaetano Fichera (12,072 words) [view diff] exact match in snippet view article find links to article

1974a, pp. 13–14), this method does not give any estimate on the approximation error on the value of the calculated (approximated) eigenvalues. He contributed

Z-HIT (2,654 words) [view diff] exact match in snippet view article find links to article

due to the reconstruction of the complex impedance outweighs the approximation error according to equation (3), which results from the neglection of the