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searching for Error function 62 found (175 total)

Approximation theory (2,304 words) [view diff] exact match in snippet view article find links to article

to an error function that has N + 2 extrema, of alternating signs and equal magnitudes. The red graph to the right shows what this error function might

Rprop (506 words) [view diff] exact match in snippet view article find links to article

if there was a sign change of the partial derivative of the total error function compared to the last iteration, the update value for that weight is

Echo state network (1,748 words) [view diff] exact match in snippet view article find links to article

synapses that connect the hidden neurons to output neurons. Thus, the error function is quadratic with respect to the parameter vector and can be differentiated

Backpropagation (7,843 words) [view diff] exact match in snippet view article find links to article

calculates the gradient of the error function for a single training example, which needs to be generalized to the overall error function. The second assumption

Temporal difference learning (1,565 words) [view diff] exact match in snippet view article find links to article

(VTA) and substantia nigra (SNc) appear to mimic the error function in the algorithm. The error function reports back the difference between the estimated

Loss function (2,801 words) [view diff] exact match in snippet view article find links to article

theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables

Sammon mapping (571 words) [view diff] exact match in snippet view article find links to article

\scriptstyle d_{ij}^{}} . Sammon's mapping aims to minimize the following error function, which is often referred to as Sammon's stress or Sammon's error: E

Rademacher complexity (3,519 words) [view diff] exact match in snippet view article find links to article

{\displaystyle h} represents a binary classifier, the error function is a 0–1 loss function, i.e. the error function f h {\displaystyle f_{h}} returns 0 if h {\displaystyle

Bulirsch–Stoer algorithm (627 words) [view diff] exact match in snippet view article find links to article

Gragg–Bulirsch–Stoer (GBS) algorithm because of the importance of a result about the error function of the modified midpoint method, due to William B. Gragg. The idea of

Elliott–Halberstam conjecture (995 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \varphi } is Euler's totient function. If we then define the error function E ( x ; q ) = max gcd ( a , q ) = 1 | π ( x ; q , a ) − π ( x ) φ (

Filter design (3,300 words) [view diff] exact match in snippet view article find links to article

weighting function W {\displaystyle W} before the error function is computed. Once the error function is established, the optimal filter is given by the

Irene Stegun (1,011 words) [view diff] case mismatch in snippet view article find links to article

"Automatic Computing Methods for Special Functions. Part IV. Complex Error Function, Fresnel Integrals, and Other Related Functions" (1981, with Ruth Zucker)

Training, validation, and test data sets (2,212 words) [view diff] exact match in snippet view article find links to article

the error function using data which is independent of that used for training. Various networks are trained by minimization of an appropriate error function

X-ray reflectivity (2,455 words) [view diff] exact match in snippet view article find links to article

a function usually called fitness function, cost function, fitting error function or figure of merit (FOM). It measures the difference between measured

Representer theorem (2,800 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g\colon [0,\infty )\to \mathbb {R} } , and an arbitrary error function E : ( X × R 2 ) n → R ∪ { ∞ } {\displaystyle E\colon ({\mathcal {X}}\times

Projection pursuit regression (1,832 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \{(y_{i},x_{i})\}_{i=1}^{n}} , the goal is to minimize the error function S = ∑ i = 1 n [ y i − ∑ j = 1 r f j ( β j T x i ) ] 2 {\displaystyle

Finite element method (7,787 words) [view diff] exact match in snippet view article find links to article

problem. FEM then approximates a solution by minimizing an associated error function via the calculus of variations. Studying or analyzing a phenomenon with

Tanh-sinh quadrature (1,216 words) [view diff] case mismatch in snippet view article find links to article

extensive research on Tanh-Sinh quadrature, Gaussian quadrature and Error Function quadrature, as well as several of the classical quadrature methods,

Mocha (JavaScript framework) (175 words) [view diff] no match in snippet view article

function(){ describe('#bar()', function() { it('should work without error', function(done) { var foo = new Foo(128); foo.bar(done); }) }) }) Free and open-source

Reprojection error (338 words) [view diff] exact match in snippet view article find links to article

}}'={\hat {H}}\mathbf {{\hat {x}}_{i}} } that minimize the reprojection error function given by ∑ i d ( x i , x i ^ ) 2 + d ( x i ′ , x i ^ ′ ) 2 {\displaystyle

James Burgess (archaeologist) (454 words) [view diff] no match in snippet view article

1863. Transliteration of Indian Place-names. 1868, 1894–95. On the Error-function Definite Integral. 1898. (awarded the Keith medal, R.S.E.) The Gandhara

AdaBoost (4,870 words) [view diff] exact match in snippet view article find links to article

x ) ) 2 {\displaystyle E(f)=(y(x)-f(x))^{2}} , whereas the AdaBoost error function E ( f ) = e − y ( x ) f ( x ) {\displaystyle E(f)=e^{-y(x)f(x)}} takes

Numerical methods for partial differential equations (1,942 words) [view diff] exact match in snippet view article find links to article

uses variational methods (the calculus of variations) to minimize an error function and produce a stable solution. Analogous to the idea that connecting

Peirce's criterion (2,863 words) [view diff] exact match in snippet view article find links to article

# m :: number of unknown quantities # # Requires the complementary error function, erfc: erfc <- function(x) 2 * pnorm(x * sqrt(2), lower.tail = FALSE)

Amplitude-shift keying (1,641 words) [view diff] exact match in snippet view article find links to article

( x ) {\displaystyle \operatorname {erfc} (x)} is the complementary error function. Putting all these results together, the probability to make an error

BrownBoost (1,436 words) [view diff] exact match in snippet view article find links to article

{c}})} . However, the final potential function is not the 0–1 loss error function. For the final error to be exactly 1 − erf ( c ) {\displaystyle 1-{\mbox{erf}}({\sqrt

Parks–McClellan filter design algorithm (1,798 words) [view diff] exact match in snippet view article find links to article

min-max error on the present extremal set. Interpolation: Calculate the error function E(ω) over the entire set of frequencies Ω using (2). Look for local

Autonomic computing (2,212 words) [view diff] exact match in snippet view article find links to article

instinct". If seen as a control system this would be encoded as a feedback error function or in a heuristically assisted system as an algorithm combined with

ORVYL and WYLBUR (4,549 words) [view diff] exact match in snippet view article find links to article

interrupt: CLEAR, CURSEL, ENTER, PA1-PA3, PFK1-PRK24 .ERF:x Error function .ERFC:x Error function .EXP:x e^x .EXTDS 1 if sessiona supports 3270 extended data

Non-negative matrix factorization (7,783 words) [view diff] exact match in snippet view article find links to article

finding W {\displaystyle W} and H {\displaystyle H} that minimize the error function (using the Frobenius norm) ‖ V − W H ‖ F , {\displaystyle \left\|V-WH\right\|_{F}

Sinc function (3,296 words) [view diff] exact match in snippet view article find links to article

cosine expansion of the sinc function: Application to the Voigt/complex error function". Appl. Math. Comput. 258: 425–435. arXiv:1407.0533. doi:10.1016/j.amc

HP-42S (1,426 words) [view diff] exact match in snippet view article find links to article

Riemann's Zeta functions, Bernoulli and Fibonacci numbers, Lambert's W, the error function as well as Chebyshev's, Hermite's, Laguerre's and Legendre's orthogonal

Alan Turing (15,055 words) [view diff] exact match in snippet view article find links to article

first-class honours in mathematics. His dissertation, On the Gaussian error function, written during his senior year and delivered in November 1934 (with

Predictive learning (1,221 words) [view diff] exact match in snippet view article find links to article

truth, and F ( x ) {\displaystyle F(x)} is the predicted data. This error function is used to make incremental adjustments to the model's weights to eventually

Long short-term memory (5,822 words) [view diff] exact match in snippet view article find links to article

(Graves, Fernandez, Gomez, and Schmidhuber, 2006) introduce a new error function for LSTM: Connectionist Temporal Classification (CTC) for simultaneous

C syntax (9,244 words) [view diff] no match in snippet view article find links to article

f()[3]; // Error: function returning an array int (*g())[3]; // OK: function returning a pointer to an array void h()(); // Error: function returning a

Delta rule (1,104 words) [view diff] exact match in snippet view article find links to article

of all of the neuron's weights) in proportion to the gradient of the error function with respect to each weight. In order to do that, we calculate the partial

Robust statistics (6,376 words) [view diff] exact match in snippet view article find links to article

known as bisquare) function behaves in a similar way to the squared error function at first, but for larger errors, the function tapers off. M-estimators

Matrix norm (4,788 words) [view diff] exact match in snippet view article find links to article

_{i=1}^{m}|a_{ij}|^{2}\right)^{1/2}} The L 2 , 1 {\displaystyle L_{2,1}} norm as an error function is more robust, since the error for each data point (a column) is not

Hermite interpolation (2,830 words) [view diff] exact match in snippet view article find links to article

a point x ∈ [ x 0 , x n ] {\displaystyle x\in [x_{0},x_{n}]} , the error function is f ( x ) − H ( x ) = f ( K ) ( c ) K ! ∏ i ( x − x i ) k i , {\displaystyle

Contact mechanics (12,049 words) [view diff] exact match in snippet view article find links to article

{h^{2}}{4}}\right)\right)\end{aligned}}} where erfc(z) means the complementary error function and K ν ( z ) {\displaystyle K_{\nu }(z)} is the modified Bessel function

Principal component analysis (14,851 words) [view diff] exact match in snippet view article find links to article

_{i=1}^{n}(\alpha p_{i}-q_{i})^{2}} ; such that setting the derivative of the error function to zero ( E ′ ( α ) = 0 ) {\displaystyle (E'(\alpha )=0)} yields: α

Robust measures of scale (2,072 words) [view diff] exact match in snippet view article find links to article

Where erf − 1 {\displaystyle \operatorname {erf} ^{-1}} is the inverse error function. In other situations, it makes more sense to think of a robust measure

Roadway air dispersion modeling (2,514 words) [view diff] exact match in snippet view article find links to article

This equation was integrated into a closed form solution using the error function (erf), and variations in geometry can be performed to include the full

Bhāskara I's sine approximation formula (2,001 words) [view diff] exact match in snippet view article find links to article

nearly identical. One of the accompanying figures gives the graph of the error function, namely, the function sin ⁡ x ∘ ≈ 4 x ( 180 − x ) 40500 − x ( 180 −

Recursive least squares filter (2,407 words) [view diff] exact match in snippet view article find links to article

{\displaystyle e(n)=d(n)-{\hat {d}}(n)} The weighted least squares error function C {\displaystyle C} —the cost function we desire to minimize—being a

Type-2 fuzzy sets and systems (3,371 words) [view diff] exact match in snippet view article find links to article

application of fuzzy sets, because the FLS is designed to minimize an error function. The following discussions, about the four components in Fig. 3 rule-based

JavaScript syntax (10,782 words) [view diff] no match in snippet view article find links to article

been initialized, so referencing such variables before will cause an error. Function declarations, which declare a variable and assign a function to it

Augustin-Jean Fresnel (25,819 words) [view diff] case mismatch in snippet view article find links to article

1989, pp. 157–158. Abramowitz, Milton; Stegun, Irene, eds. (1972). "7 Error Function and Fresnel Integrals". Handbook of Mathematical Functions with Formulas

Glossary of artificial intelligence (29,514 words) [view diff] exact match in snippet view article find links to article

synapses that connect the hidden neurons to output neurons. Thus, the error function is quadratic with respect to the parameter vector and can be differentiated

Exception handling syntax (4,966 words) [view diff] no match in snippet view article find links to article

specialError=function(e){ cat("catches errors of class specialError\n") } ,error=function(e){ cat("catches the default error\n") } ,finally={ cat("do some cleanup

Structured sparsity regularization (3,812 words) [view diff] exact match in snippet view article find links to article

belong to. The objective function using group lasso consists of an error function, which is generally required to be convex but not necessarily strongly

Gradshteyn and Ryzhik (11,967 words) [view diff] exact match in snippet view article find links to article

[2010-12-23]. "The integrals in Gradshteyn and Ryzhik. Part 19: The error function" (PDF). Scientia. Series A: Mathematical Sciences. 21 (published 2011):

Allan variance (9,353 words) [view diff] exact match in snippet view article find links to article

_{\text{n}}t+\varphi (t)=2\pi \nu _{\text{n}}t+\varphi (t).} The time-error function x(t) is the difference between expected nominal time and actual normal

Glossary of engineering: A–L (31,761 words) [view diff] exact match in snippet view article find links to article

of variations to approximate a solution by minimizing an associated error function. FIRST For Inspiration and Recognition of Science and Technology – is

Multiple kernel learning (2,856 words) [view diff] exact match in snippet view article find links to article

c}\mathrm {E} (Y,K'c)+R(K,c)} where E {\displaystyle \mathrm {E} } is an error function and R {\displaystyle R} is a regularization term. E {\displaystyle \mathrm

Distribution of the product of two random variables (8,987 words) [view diff] exact match in snippet view article find links to article

} {\displaystyle {\text{erfc}}\{\cdot \}} denotes the complementary error function. When N = 1 {\displaystyle N=1} , the pdf is obtained by setting the

Ronald Fisher bibliography (6,207 words) [view diff] case mismatch in snippet view article find links to article

Properties and Applications of the Integrals and Derivatives of the Normal Error Function". Mathematical Tables. 1: xxvi–xxxv. 1931. Fisher, R. A.; Wishart, J

Maximum disjoint set (4,745 words) [view diff] exact match in snippet view article find links to article

is in the maximum possible ratio which is a:(1 − a). Therefore the error function satisfies the following recurrence relation: E ( m ) = 0 if

Pseudo-range multilateration (9,850 words) [view diff] exact match in snippet view article find links to article

{\displaystyle m>d+1} ), a loss function or cost function (also called an error function) is minimized (a quadratic loss function is common). With redundant

Redundancy principle (biology) (5,027 words) [view diff] exact match in snippet view article

}e^{-u^{2}}\,du} . To compute the MFPT, we expand the complementary error function 2 π ∫ x ∞ e − u 2 d u = e − x 2 x π ( 1 − 1 2 x 2 + O ( x − 4 ) ) for

Multi-fractional order estimator (5,698 words) [view diff] exact match in snippet view article find links to article

predicted position can easily be aided with the simple approximation of the error function in.) Tuning the KF consists of a trade-off between measurement noise