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Set of values for a mathematical model
parameter space is the space of all possible parameter values that define a particular mathematical model. It is also sometimes called weight space,
Parameter_space
Space of all possible states that a system can take
in the phase space. For mechanical systems, the phase space usually consists of all possible values of the position and momentum parameters. It is the direct
Phase_space
Non-informative prior distribution
the Jeffreys prior is a non-informative prior distribution for a parameter space. Named after Sir Harold Jeffreys, its density function is proportional
Jeffreys_prior
Method of estimating the parameters of a statistical model, given observations
statistical model, the observed data is most probable. The point in the parameter space that maximizes the likelihood function is called the maximum likelihood
Maximum_likelihood_estimation
Space of possible positions for all objects in a physical system
classical mechanics, the parameters that define the configuration of a system are called generalized coordinates, and the space defined by these coordinates
Configuration_space_(physics)
In Bayesian probability theory
the parameter space. In Bayesian statistics, it represents the probability of generating the observed sample for all possible values of the parameters; it
Marginal_likelihood
Method of detecting shapes within images
is carried out in a parameter space, from which object candidates are obtained as local maxima in a so-called accumulator space that is explicitly constructed
Hough_transform
Area of mathematics
changes of the behaviour of the system. However, examined in a larger parameter space, catastrophe theory reveals that such bifurcation points tend to occur
Catastrophe_theory
Singularities in the parameter space
In quantum physics, exceptional points are singularities in the parameter space where two or more eigenstates (eigenvalues and eigenvectors) coalesce
Exceptional_point
Property of a mathematical space
High-dimensional spaces frequently occur in mathematics and the sciences. They may be Euclidean spaces or more general parameter spaces or configuration spaces such
Dimension
Geometric space whose points represent algebro-geometric objects of some fixed kind
synonymously with "parameter"; moduli spaces were first understood as spaces of parameters rather than as spaces of objects. A variant of moduli spaces is formal
Moduli_space
Circle finding technique used in digital image processing
parameter space and then selecting local maxima in an accumulator matrix. It is a specialization of the Hough transform. In a two-dimensional space,
Circle_Hough_Transform
Concept in physics
evolve through the corresponding parameter space and can acquire a phase that depends on the path taken through that space. Consider a quantum system whose
Berry connection and curvature
Berry_connection_and_curvature
Statistical theorem
{\displaystyle \Theta } is the full parameter space and Θ 0 {\displaystyle \Theta _{0}} is the subset of the parameter space associated with H 0 {\displaystyle
Wilks'_theorem
Geometry definition file format
normals might not be unit vectors. vn 0.707 0.000 0.707 vn ... ... # Parameter space vertices in (u, [v, w]) form; free form geometry statement (see below)
Wavefront_.obj_file
Geometric space
means "parameter"; thus a "moduli space" means a space giving parameters that specify all of the curves of a given kind. With a moduli space, instead
Moduli_of_algebraic_curves
Quantity that indexes a parametrized family of probability distributions
In statistics, as opposed to its general use in mathematics, a parameter is any quantity of a statistical population that summarizes or describes an aspect
Statistical_parameter
Mathematical space with two coordinates
rather than geometric positions, as in the parameter space of a mathematical model or the configuration space of a physical system. More generally, other
Two-dimensional_space
Method in numerical analysis
F(\mathbf {u} )} is an n−1 vector. This formulation, without an explicit parameter space is not usually suitable for the formulations in the following sections
Numerical_continuation
Aspect of theoretical physics
provides a geometric language for how a band wavefunction changes across parameter space and how its phase twists under parallel transport with consequences
Quantum geometry (condensed matter)
Quantum_geometry_(condensed_matter)
Theorem in mathematics and economics
familiar techniques and concepts in demand theory. For a multidimensional parameter space T ⊆ R K {\displaystyle T\subseteq \mathbb {R} ^{K}} , Theorem 1 can
Envelope_theorem
Factor in X-ray crystallography
In X-ray crystallography, the Flack parameter is a factor used to estimate the absolute configuration of a structural model determined by single-crystal
Flack_parameter
(CDM) is an algebraic approach applied to a polynomial loop in the parameter space. A special diagram called a "coefficient diagram" is used as the vehicle
Coefficient_diagram_method
Numerical coefficient in loop quantum gravity
The Immirzi parameter (also known as the Barbero–Immirzi parameter) is a numerical coefficient appearing in loop quantum gravity (LQG), a nonperturbative
Immirzi_parameter
Function related to statistics and probability theory
compared are parameterized by a parameter, with the parameter often written as θ, or they are parameterized by multiple parameters given as the components of
Likelihood_function
Statistical test that compares goodness of fit
statistical models, typically one found by maximization over the entire parameter space and another found after imposing some constraint, based on the ratio
Likelihood-ratio_test
Hypothetical invisible cosmic material
to detect supersymmetric particles has constrained the theoretical parameter space for WIMPs. These constraints have shifted significant focus toward
Dark_matter
Statistical parameter needed for a model but not of primary interest
a nuisance parameter is any parameter which is unspecified but which must be accounted for in the hypothesis testing of the parameters which are of
Nuisance_parameter
Phase of a cycle
adiabatic processes, which results from the geometrical properties of the parameter space of the Hamiltonian. The phenomenon was independently discovered by
Geometric_phase
Gradient of the likelihood function
to infinitesimal changes to the parameter values. If the log-likelihood function is continuous over the parameter space, the score will vanish at a local
Informant_function
Topologically stable solution of a partial differential equation
space described by a function f(r) that assigns to every point in the region an order parameter, and the possible values of the order parameter space
Topological_defect
Computational method in Bayesian statistics
form is intractable. Their method was based on defining a grid in the parameter space and using it to approximate the likelihood by running several simulations
Approximate Bayesian computation
Approximate_Bayesian_computation
Special points in thermodynamic parameter space
points in the parameter space of thermodynamic or other systems with a continuous phase transition. At least two thermodynamic or other parameters must be adjusted
Multicritical_point
Statistical property which a model must satisfy to allow precise inference
possible to learn the location of the true parameter up to a certain finite region of the parameter space, in which case the model is set identifiable
Identifiability
Method of statistical inference
high-dimensional parameter space. A notable application is to the Planck 2018 CMB data for parameter inference. The six base cosmological parameters in Lambda-CDM
Bayesian_inference
Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor
a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general projective scheme), refining
Hilbert_scheme
Kind of numerical parameter of a parametric family of probability distributions
probability theory and statistics, a shape parameter (also known as form parameter) is a kind of numerical parameter of a parametric family of probability
Shape_parameter
Thermodynamical parameter of solids
In condensed matter, Grüneisen parameter γ is a dimensionless thermodynamic parameter named after German physicist Eduard Grüneisen, whose original definition
Grüneisen_parameter
Topic in probability theory and statistics
groups: One distribution is a special case of another with a broader parameter space Transforms (function of a random variable); Combinations (function
Relationships among probability distributions
Relationships_among_probability_distributions
Concept in statistics
a distribution function on the parameter space that can represent confidence intervals of all levels for a parameter of interest. Historically, it has
Confidence_distribution
Method of representing curves and surfaces in computer graphics
interaction. NURBS surfaces are functions of two parameters mapping to a surface in three-dimensional space. The shape of the surface is determined by control
Non-uniform_rational_B-spline
Statistical measure
a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions. The larger the scale parameter, the more
Scale_parameter
Engineering situation
values for the number n of variables being tested, i.e., the total parameter space for those variables. Where an edge case involves pushing one variable
Corner_case
parameter is a way of measuring of how "hard" it is for an adversary to break a cryptographic scheme. There are two main types of security parameter:
Security_parameter
Disk compression utility
DriveSpace (initially known as DoubleSpace) is a disk compression utility supplied with MS-DOS starting from version 6.0 in 1993 and ending in 2000 with
DriveSpace
Convention for attaching reference frames to links of a kinematic chain
mechatronics engineering, the Denavit–Hartenberg parameters (also called DH parameters) are the four parameters associated with the DH convention for attaching
Denavit–Hartenberg_parameters
Set of quantities in accelerator physics
the trajectory of that particle in phase space will lie on the contour of an ellipse defined by the CS parameters at each point along the beamline. Such
Courant–Snyder_parameters
2.10] gives a theorem establishing that if the sample space is closed and the parameter space is finite then the class of Bayes rules is complete. Ferguson
Complete_class_theorem
start by given parameters of requirement space and maps them to design parameter space. However, the conventional trial and error of parameters set followed
Design_for_availability
Statistical test
binomial models when the estimated (unconstrained) parameter is close to the boundary of the parameter space—for instance a fitted probability being extremely
Wald_test
Family of probability distributions related to the normal distribution
is integrable is called the natural parameter space. It can be shown that the natural parameter space is always convex. A(η) is called the log-partition
Exponential_family
Statistical analysis phenomenon
may have actually arisen by chance because of the sheer size of the parameter space to be searched. Once the possibility of look-elsewhere error in an
Look-elsewhere_effect
Concept in chemistry
molecules. These three parameters can be treated as co-ordinates for a point in three dimensions also known as the Hansen space. The nearer two molecules
Hansen_solubility_parameter
Conceptual model in genetic architecture
straightforward one-to-one mapping of genotype to/from phenotype. accommodates a parameter space, along which at different points a given phenotype is said to be more
Genotype–phenotype_map
Topics referred to by the same term
mathematics, weight space may refer to: Weight space (representation theory) Parameter space in artificial neural networks, where the parameters are weights on
Weight_space
one-variable holomorphic functions is a subset of the parameter space which consists of those parameters for which the corresponding Julia set is connected
Connectedness_locus
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
Plasma_parameter
unique value for the model parameters, but instead constrain the parameters to lie in a strict subset of the parameter space. Statistical models that are
Set_identification
Part of a URL that assigns values to specified parameters
optional component string of a URI, used to provide a set of one or more parameter values. When a URI is submitted to a server in a request to access, or
Query_string
Exact solution to Einstein's equations
"Gravomagnetic Lensing by NUT Space". arXiv:gr-qc/9812094. Al-Badawi, A.; Halilsoy, M. (2006). "On the physical meaning of the NUT parameter". General Relativity
Taub–NUT_space
1968 film by Stanley Kubrick
2001: A Space Odyssey is a 1968 epic science fiction film produced and directed by Stanley Kubrick, who co-wrote the screenplay with Arthur C. Clarke
2001:_A_Space_Odyssey
American space and aeronautics agency
and Space Administration (NASA; /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
Generative linguistics framework
Principles and parameters is a framework within generative grammar in which the syntax of a natural language is described in accordance with general principles
Principles_and_parameters
Study of uncertainty in the output of a mathematical model or system
input space which remains unexplored with an OAT approach grows superexponentially with the number of inputs. For example, a 3-variable parameter space which
Sensitivity_analysis
Function describing the energy of a physical system in terms of certain parameters
mathematical optimization, when the domain of the loss function is the parameter space of some system. The geometry of a set of atoms can be described by
Potential_energy_surface
System with an infinite-dimensional state-space
control theory, a distributed-parameter system (as opposed to a lumped-parameter system) is a system whose state space is infinite-dimensional. Such systems
Distributed_parameter_system
Set of all possible outcomes or results of a statistical trial or experiment
lifetime of a light bulb. The corresponding sample space would be [0, ∞). Parameter space Probability space Space (mathematics) Set (mathematics) Event (probability
Sample_space
Quantitative way to compare statistical models
terminology to emphasize the generalization. Let Θ be a parameter space. Given an abstract L1-space (L,‖⋅‖) (i.e. a Banach lattice such that for elements
Deficiency_(statistics)
Process of finding the optimal set of variables for a machine learning algorithm
validation set. Since the parameter space of a machine learner may include real-valued or unbounded value spaces for certain parameters, manually set bounds
Hyperparameter_optimization
Describing something mathematical with variables
parameters is the number of degrees of freedom of the system. For example, the position of a point that moves on a curve in three-dimensional space is
Parametrization_(geometry)
Type of statistical model
nonparametric model, the set of possible values of the parameter θ {\displaystyle \theta } is a subset of some space V {\displaystyle V} , which is not necessarily
Semiparametric_model
Discrete-time dynamical system
four-dimensional space by treating its parameters, a and b, as additional axes. This allows for a visualization of the map's behavior across the entire parameter space
Hénon_map
Simulation method in statistics
posterior distribution on spaces of varying dimensions. Thus, the simulation is possible even if the number of parameters in the model is not known.
Reversible-jump Markov chain Monte Carlo
Reversible-jump_Markov_chain_Monte_Carlo
Job control language for IBM mainframes
as in SPACE, but the most complex parameters, such as DCB, have keyword sub-parameters. Positional parameter must precede keyword parameters. Keyword
Job_Control_Language
Dimensionless measure in cosmology
The deceleration parameter q in cosmology is a dimensionless measure of the cosmic acceleration of the expansion of space in a Friedmann–Lemaître–Robertson–Walker
Deceleration_parameter
Color space model
the many cylindrical color space models that are designed to accord with human perception of color with the three parameters. Lch has been adopted by information
HCL_color_space
Type of statistical model
that has a finite number of parameters. A statistical model is a collection of probability distributions on some sample space. We assume that the collection
Parametric_model
Measure of similarity between curves
for a given distance threshold ε is a two-dimensional region in the parameter space that consists of all point pairs on the two curves at distance at most
Fréchet_distance
Means of entering commands to software
part of a command or parameter, or as a parameter or name separator. Ambiguity can be prevented either by prohibiting embedded spaces in file and directory
Command-line_interface
Method in natural language processing
the model, as well as after hardware advances allowed for a broader parameter space to be explored profitably. In 2013, a team at Google led by Tomas Mikolov
Word_embedding
Rule for calculating an estimate of a given quantity based on observed data
in the parameter space. There also exists another type of estimator: interval estimators, where the estimates are subsets of the parameter space. The problem
Estimator
In mathematics, a period domain is a parameter space for a polarized Hodge structure. They can often be represented as the quotient of a Lie group by
Period_domain
Method for nonparametric multiple regression
examining an M-dimensional parameter space in order to estimate β j {\displaystyle \beta _{j}} . One must select the smoothing parameter for f j {\displaystyle
Projection_pursuit_regression
}{\operatorname {arg\;max} }}\ {\widehat {Q}}_{n}(\theta ),} where Θ is the parameter space. Sometimes a slightly weaker definition is given: Q ^ n ( θ ^ ) ≥ max
Extremum_estimator
Parameter in the Mandelbrot set
In mathematics, a Misiurewicz point is a parameter value in the Mandelbrot set (the parameter space of complex quadratic maps) and also in real quadratic
Misiurewicz_point
Topics referred to by the same term
(manifold) Grassmannian, the classical parameter space for linear subspaces of a linear space or projective space Lagrangian Grassmannian Grassmann algebra
Grassmannian_(disambiguation)
Calling conventions used in x86 architecture programming
The order in which atomic (scalar) parameters, or individual parts of a complex parameter, are allocated How parameters are passed (pushed on the stack,
X86_calling_conventions
requires that this rate is essentially the same within a region of the parameter space being considered. For instance, stochastic equicontinuity, along with
Stochastic_equicontinuity
Modification using the principle of template matching
possible parameters a for the shape. Thus it is theoretically possible to use the two points in image space to reduce the locus in parameter space to a single
Generalised_Hough_transform
Mechanism of function calls in computers
implementation-level (low-level) scheme for how subroutines or functions receive parameters from their caller and how they return a result. When some code calls a
Calling_convention
Fractal named after mathematician Benoit Mandelbrot
Benoit Mandelbrot first visualized the set. Mandelbrot studied the parameter space of quadratic polynomials in an article that appeared in 1980. The mathematical
Mandelbrot_set
Theorem relating unitary operators to one-parameter Lie groups
correspondence between self-adjoint operators on a Hilbert space H {\displaystyle {\mathcal {H}}} and one-parameter families ( U t ) t ∈ R {\displaystyle (U_{t})_{t\in
Stone's theorem on one-parameter unitary groups
Stone's_theorem_on_one-parameter_unitary_groups
Script file for Microsoft computer operating systems
the command-line interface by typing its name, followed by any required parameters and pressing the ↵ Enter key. When DOS loads, the file AUTOEXEC.BAT, when
Batch_file
Infinite loop space
theory of operads in algebra and algebraic topology, an E∞-operad is a parameter space for a multiplication map that is associative and commutative "up to
E∞-operad
Process of estimating the parameters of a pinhole camera model
Camera resectioning is the process of estimating the parameters of a pinhole camera model approximating the camera that produced a given photograph or
Camera_resectioning
Acoustic modeling approach in which all phonetic states share a common Gaussian
and the means and mixture weights vary in a subspace of the total parameter space. Povey, D : Burget, L.; Agarwal, M.; Akyazi, P. "Subspace Gaussian
Subspace Gaussian mixture model
Subspace_Gaussian_mixture_model
Distribution of new data marginalized over the posterior
distribution that depends on a parameter θ ∈ Θ {\displaystyle \theta \in \Theta } , where Θ {\displaystyle \Theta } is the parameter space. p ( x ~ | θ ) {\displaystyle
Posterior predictive distribution
Posterior_predictive_distribution
Space of complex matrices with positive definite imaginary part
Riemann bilinear relations explain why the Siegel upper half-space is the natural parameter space for period matrices. Not every point of H g {\displaystyle
Siegel_upper_half-space
small perturbation of the parameter. Thus the bifurcation locus can be thought of as an analog of the Julia set in parameter space. Without doubt, the most
Bifurcation_locus
Type of vector space in math
(strongly continuous) one-parameter semigroup of unitary operators on a Hilbert space H, and P is the orthogonal projection onto the space of common fixed points
Hilbert_space
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