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searching for Normalizing constant 37 found (71 total)

Continuous Bernoulli distribution (752 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [0,1]} -valued data. This practice amounts to ignoring the normalizing constant of the continuous Bernoulli distribution, since the binary cross

Conway–Maxwell–Poisson distribution (4,363 words) [view diff] exact match in snippet view article find links to article

cumulants, of the CMP distribution can be expressed in terms of the normalizing constant Z ( λ , ν ) {\displaystyle Z(\lambda ,\nu )} . Indeed, The probability

Buzen's algorithm (1,778 words) [view diff] exact match in snippet view article find links to article

a closed queueing network. Performing a naïve computation of the normalizing constant requires enumeration of all states. For a closed network with N circulating

Proportionality (mathematics) (1,012 words) [view diff] exact match in snippet view article

constant) and its reciprocal is known as constant of normalization (or normalizing constant). Two sequences are inversely proportional if corresponding elements

Marginal likelihood (891 words) [view diff] exact match in snippet view article find links to article

is not on model comparison, the marginal likelihood is simply the normalizing constant that ensures that the posterior is a proper probability. It is related

Kent distribution (818 words) [view diff] exact match in snippet view article find links to article

denotes the transpose of ( ⋅ ) {\displaystyle (\cdot )} , and the normalizing constant c ( κ , β ) {\displaystyle {\textrm {c}}(\kappa ,\beta )\,} is: c

Exponential family random graph models (3,553 words) [view diff] exact match in snippet view article find links to article

proportional to the probability of y {\displaystyle y} (up to the normalizing constant c ( θ ) {\displaystyle c(\theta )} ). If y {\displaystyle y} is the

Lewandowski-Kurowicka-Joe distribution (436 words) [view diff] exact match in snippet view article find links to article

p(\mathbf {R} ;\eta )=C\times [\det(\mathbf {R} )]^{\eta -1}} with normalizing constant C = 2 ∑ k = 1 d ( 2 η − 2 + d − k ) ( d − k ) ∏ k = 1 d − 1 [ B (

Fox–Wright function (1,746 words) [view diff] exact match in snippet view article find links to article

} A special case of Fox–Wright function appears as a part of the normalizing constant of the modified half-normal distribution with the pdf on ( 0 , ∞

Markov chain tree theorem (578 words) [view diff] exact match in snippet view article find links to article

_{i}={\frac {1}{Z}}\sum _{T\in {\mathcal {T}}_{i}}w(T),} where the normalizing constant Z {\displaystyle Z} is the sum of w ( T ) {\displaystyle w(T)} over

Wick rotation (1,418 words) [view diff] exact match in snippet view article find links to article

Boltzmann constant. The average value of an observable Q is, up to a normalizing constant, ∑ j Q j e − E j k B T , {\displaystyle \sum _{j}Q_{j}e^{-{\frac

Champernowne distribution (477 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \alpha ,\lambda ,y_{0}} are positive parameters, and n is the normalizing constant, which depends on the parameters. The density may be rewritten as

BCMP network (567 words) [view diff] exact match in snippet view article find links to article

_{1}(x_{1})\pi _{2}(x_{2})\cdots \pi _{m}(x_{m}),} where C is a normalizing constant chosen to make the equilibrium state probabilities sum to 1 and π

Modified half-normal distribution (1,782 words) [view diff] exact match in snippet view article find links to article

distributional aspects, such as the known functional form of the normalizing constant. However, the MHN distribution occurs in diverse areas of research

Dimension (vector space) (1,485 words) [view diff] exact match in snippet view article

:=\textstyle {\frac {1}{n}}\operatorname {tr} } ), so in these cases the normalizing constant corresponds to dimension. Alternatively, it may be possible to take

Maximum-entropy random graph model (1,471 words) [view diff] exact match in snippet view article find links to article

_{j=1}^{J}\psi _{j}Q_{j}(G)\right],} where Z {\displaystyle Z} is a normalizing constant (the partition function) and { ψ j } j = 1 J {\displaystyle \{\psi

Gegenbauer polynomials (1,339 words) [view diff] exact match in snippet view article find links to article

They are, in fact, exactly the zonal spherical harmonics, up to a normalizing constant. Gegenbauer polynomials also appear in the theory of Positive-definite

Mean value analysis (1,587 words) [view diff] exact match in snippet view article find links to article

and relies on solving systems of linear equations involving the normalizing constant of state probabilities for the queueing network. Approximate MVA

Beta-binomial distribution (2,207 words) [view diff] exact match in snippet view article find links to article

-1}(1-p)^{n_{1}-y_{1}+\beta -1}\end{aligned}}} where C {\displaystyle C} is a normalizing constant. We recognize the posterior distribution as a B e t a ( y 1 + α

Grouped Dirichlet distribution (724 words) [view diff] exact match in snippet view article find links to article

{\displaystyle 0=s_{0}<s_{1}\leqslant \cdots \leqslant s_{m}=n} . The normalizing constant given by c m = { ∏ j = 1 m B ⁡ ( a s j − 1 + 1 , … , a s j ) } ⋅

Witten conjecture (1,167 words) [view diff] exact match in snippet view article find links to article

=c_{\Lambda }\exp(-{\text{tr}}X^{2}\Lambda /2)dX} where cΛ is a normalizing constant. This measure has the property that ∫ X i j X k l d μ = δ i l δ j

Kneser–Ney smoothing (1,048 words) [view diff] exact match in snippet view article find links to article

count of each n-gram, usually between 0 and 1. The value of the normalizing constant λ w i − 1 {\displaystyle \lambda _{w_{i-1}}} is calculated to make

Random cluster model (1,980 words) [view diff] exact match in snippet view article find links to article

{\displaystyle p=1-e^{-\beta }} , and Z {\displaystyle Z} is an appropriate normalizing constant. Importantly, the indicator function 1 A {\displaystyle 1_{A}} of

Exponential distribution (6,567 words) [view diff] exact match in snippet view article find links to article

\end{aligned}}} Now the posterior density p has been specified up to a missing normalizing constant. Since it has the form of a gamma pdf, this can easily be filled

Naive Bayes classifier (5,489 words) [view diff] exact match in snippet view article find links to article

size}}\mid {\text{female}})}{\text{evidence}}}} The evidence (also termed normalizing constant) may be calculated: evidence = P ( male ) p ( height ∣ male ) p (

Extensions of symmetric operators (3,246 words) [view diff] exact match in snippet view article find links to article

_{-}=c\cdot e^{-x}\}\end{aligned}}} where c {\displaystyle c} is a normalizing constant. The self-adjoint extensions A α {\displaystyle A_{\alpha }} of A

Least-squares support vector machine (3,361 words) [view diff] exact match in snippet view article find links to article

M ) {\displaystyle p(D|\log \mu ,\log \zeta ,\mathbb {M} )} is a normalizing constant such the integral over all possible w {\displaystyle w} and b {\displaystyle

Partially observable Markov decision process (3,305 words) [view diff] exact match in snippet view article find links to article

1 / Pr ( o ∣ b , a ) {\displaystyle \eta =1/\Pr(o\mid b,a)} is a normalizing constant with Pr ( o ∣ b , a ) = ∑ s ′ ∈ S O ( o ∣ s ′ , a ) ∑ s ∈ S T ( s

HHL algorithm (4,849 words) [view diff] exact match in snippet view article find links to article

_{j}^{-1}|\lambda _{j}\rangle } , where C {\displaystyle C} is a normalizing constant. The linear mapping operation is not unitary and thus will require

Gamma distribution (8,713 words) [view diff] exact match in snippet view article find links to article

{p^{k-1}e^{-\theta ^{-1}q}}{\Gamma (k)^{r}\theta ^{ks}}},} where Z is the normalizing constant with no closed-form solution. The posterior distribution can be found

Gaussian beam (6,948 words) [view diff] exact match in snippet view article find links to article

w0 at z from the focus. In this form, the first factor is just a normalizing constant to make the set of uJ orthonormal. The second factor is an additional

Dirac delta function (13,791 words) [view diff] exact match in snippet view article find links to article

sequence of point masses at each of the integers. Up to an overall normalizing constant, the Dirac comb is equal to its own Fourier transform. This is significant

Elliptic rational functions (2,551 words) [view diff] exact match in snippet view article find links to article

{\displaystyle x_{pi}} are the poles, and r 0 {\displaystyle r_{0}} is a normalizing constant chosen such that R n ( ξ , 1 ) = 1 {\displaystyle R_{n}(\xi ,1)=1}

Particle filter (16,920 words) [view diff] exact match in snippet view article find links to article

A\right)=E\left(\prod \limits _{k=0}^{n}G_{k}(X_{k})\right)} as soon as the normalizing constant is strictly positive. Initially, such an algorithm starts with N

Fourier transform (21,038 words) [view diff] exact match in snippet view article find links to article

frequency" convention above, the factor of 2π appears in neither the normalizing constant nor the exponent. Unlike any of the conventions appearing above,

Beta distribution (40,380 words) [view diff] exact match in snippet view article find links to article

next section that the normalizing constant for Jeffreys prior is immaterial to the final result because the normalizing constant cancels out in Bayes theorem

Chebyshev polynomials (11,368 words) [view diff] exact match in snippet view article find links to article

if }}~n=m.\end{cases}}} (The measure √1 − x2 dx is, to within a normalizing constant, the Wigner semicircle distribution.) These orthogonality properties