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Free parameter information


A free parameter is a variable in a mathematical model which cannot be predicted precisely or constrained by the model[1] and must be estimated[2] experimentally or theoretically. A mathematical model, theory, or conjecture is more likely to be right and less likely to be the product of wishful thinking if it relies on few free parameters and is consistent with large amounts of data.

  1. ^ Kline, Rex B. (2015). Principles and Practice of Structural Equation Modeling. Guilford Publications. p. 128. ISBN 978-1462523351.
  2. ^ Calvert, Gemma; Spence, Charles; Stein, Barry E. (2004). The Handbook of Multisensory Processes. MIT Press. p. 160. ISBN 978-0262033213.

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Free parameter

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A free parameter is a variable in a mathematical model which cannot be predicted precisely or constrained by the model and must be estimated experimentally...

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Parameter

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A parameter (from Ancient Greek παρά (pará) 'beside, subsidiary', and μέτρον (métron) 'measure'), generally, is any characteristic that can help in defining...

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Immirzi parameter

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The Immirzi parameter (also known as the Barbero–Immirzi parameter) is a numerical coefficient appearing in loop quantum gravity (LQG), a nonperturbative...

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Scattering parameters

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The S-parameters are members of a family of similar parameters, other examples being: Y-parameters, Z-parameters, H-parameters, T-parameters or ABCD-parameters...

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Overdispersion

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based on the Poisson distribution. The Poisson distribution has one free parameter and does not allow for the variance to be adjusted independently of...

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Mathematical formulation of the Standard Model

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129, can be chosen as a free parameter. Instead of the Higgs vacuum expectation value, the μ 2 {\displaystyle \mu ^{2}} parameter directly from the Higgs...

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Landau theory

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order parameter as a descriptor of the essential character of the transition has proven transformative. Landau was motivated to suggest that the free energy...

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Hansen solubility parameter

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Hansen solubility parameters were developed by Charles M. Hansen in his Ph.D thesis in 1967 as a way of predicting if one material will dissolve in another...

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Plasma parameter

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The plasma parameter is a dimensionless number, denoted by capital Lambda, Λ. The plasma parameter is usually interpreted to be the argument of the Coulomb...

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Generating function

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sum sn is complicated, and it is not always easy to evaluate. The "Free Parameter" method is another method (called "snake oil" by H. Wilf) to evaluate...

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Sigmoid function

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hyperbolic tangent mentioned above. Here, m {\displaystyle m} is a free parameter encoding the slope at x = 0 {\displaystyle x=0} , which must be greater...

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Radial basis function kernel

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feature vectors. σ {\displaystyle \sigma } is a free parameter. An equivalent definition involves a parameter γ = 1 2 σ 2 {\displaystyle \textstyle \gamma...

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Substitution model

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rate parameters and 4 equilibrium base frequency parameters. Since the 4 frequency parameters must sum to 1, there are only 3 free frequency parameters. The...

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Parametric equation

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of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of...

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Okapi BM25

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query term at all. The scoring formula of BM25+ only has one additional free parameter δ {\displaystyle \delta } (a default value is 1.0 in absence of a training...

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Exponential family

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{\displaystyle \ n\ ,} is treated as a fixed constant – excluded from the free parameter(s)   θ   {\displaystyle \ \theta \ } – since the allowed number of trials...

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Complex beam parameter

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In optics, the complex beam parameter is a complex number that specifies the properties of a Gaussian beam at a particular point z along the axis of the...

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Iribarren number

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number or Iribarren parameter – also known as the surf similarity parameter and breaker parameter – is a dimensionless parameter used to model several...

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Propagation constant

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for this quantity. These include transmission parameter, transmission function, propagation parameter, propagation coefficient and transmission constant...

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Levenshtein distance

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) , {\displaystyle (\log n)^{O(1/\varepsilon )},} where ε > 0 is a free parameter to be tuned, in time O(n1 + ε). It has been shown that the Levenshtein...

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Kernel density estimation

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density for continuous random variables. The bandwidth of the kernel is a free parameter which exhibits a strong influence on the resulting estimate. To illustrate...

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Luttinger parameter

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In semiconductors, valence bands are well characterized by 3 Luttinger parameters. At the Г-point in the band structure, p 3 / 2 {\displaystyle p_{3/2}}...

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Rayleigh length

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where the area of the cross section is doubled. A related parameter is the confocal parameter, b, which is twice the Rayleigh length. The Rayleigh length...

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