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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
Gibbs. In a phase space, every degree of freedom or parameter of the system is represented as an axis of a multidimensional space; a one-dimensional
Phase_space
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)
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
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
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
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
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
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
Hypothetical particles that may constitute dark matter
form of neutrinos, which will limit their ability to probe the WIMP parameter space beyond a certain point, known as the neutrino floor. However, although
Weakly interacting massive particle
Weakly_interacting_massive_particle
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
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
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
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
Function related to statistics and probability theory
1] is 1/3; likelihoods need not integrate or sum to one over the parameter space. Let X {\textstyle X} be a random variable following an absolutely
Likelihood_function
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
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
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
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
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
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
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
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
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_(statistics)
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
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
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)
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
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
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
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
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
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
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
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
Cosmological time duration
described by a number of other parameters, but for the purpose of computing its age these three, along with the Hubble parameter H 0 {\displaystyle ~H_{0}~}
Age_of_the_universe
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
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
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
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
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
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
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
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
Concept in physics
} indicating that the Berry phase only depends on the path in the parameter space, not on the rate at which the path is traversed. In the case of a cyclic
Berry connection and curvature
Berry_connection_and_curvature
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
Local and global geometry of the universe
curvature density parameter with an unknown global topology. It is unknown whether the universe is simply connected like euclidean space or multiply connected
Shape_of_the_universe
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
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
massive than about a solar mass. As a result of this extremely vast parameter space, there exist a wide variety of proposed types of dark matter, in addition
Direct detection of dark matter
Direct_detection_of_dark_matter
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
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
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
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
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)
Orbit parameter conserved in the three-body problem
Tisserand's parameter (or Tisserand's invariant) is a number calculated from several orbital elements (semi-major axis, orbital eccentricity, and inclination)
Tisserand's_parameter
Regulation of nonlinear systems
Linear parameter-varying control (LPV control) deals with the control of linear parameter-varying systems, a class of nonlinear systems which can be modelled
Linear parameter-varying control
Linear_parameter-varying_control
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
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
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
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
Dimensionless measure in cosmology
deceleration parameter q {\displaystyle q} in cosmology is a dimensionless measure of the cosmic acceleration of the expansion of space in a
Deceleration_parameter
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
Parameter-efficient fine-tuning technique for large language models
LoRA (Low-Rank Adaptation) is a parameter-efficient fine-tuning technique for large language models and other deep neural networks. Introduced in 2021
LoRA_(machine_learning)
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
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
American space and aeronautics agency
Aeronautics and Space Administration (NASA /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
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
Equations in physical cosmology
possibilities correspond to parameter k of (0) flat space, (+1) a sphere of constant positive curvature or (−1) a hyperbolic space with constant negative curvature
Friedmann_equations
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
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
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
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
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
3D computer graphics program
generated mathematically, NURBS objects have a parameter space in addition to the 3D geometric space in which they are displayed. Specifically, an array
Autodesk_3ds_Max
Generative linguistics framework
Principles and parameters is a framework within generative linguistics in which the syntax of a natural language is described in accordance with general
Principles_and_parameters
Lie group homomorphism from the real numbers
In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism φ : R → G {\displaystyle \varphi :\mathbb
One-parameter_group
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
Software interface based on commands formatted as lines of text
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
Mathematical model of the Big Bang
ionized space, where the electrons can scatter the light, altering the anisotropies. This effect is characterized by one additional parameter. The ΛCDM
Lambda-CDM_model
(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
Framework for multi-scale signal representation
different scales, by representing an image as a one-parameter family of smoothed images, the scale-space representation, parametrized by the size of the smoothing
Scale_space
Statistical test based on the gradient of the likelihood function
on statistical parameters based on the gradient of the likelihood function—known as the score—evaluated at the hypothesized parameter value under the
Score_test
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
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
Simulation method in statistics
the model is not known. The "jump" refers to the switching from one parameter space to another during the running of the chain. RJMCMC is useful to compare
Reversible-jump Markov chain Monte Carlo
Reversible-jump_Markov_chain_Monte_Carlo
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
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
}{\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
Observation in physical cosmology
redshift-space distortions. The parameter H is commonly called the "Hubble constant", but that is a misnomer since it is constant in space only at a
Hubble's_law
Optimization algorithm
g. simulation agents) locate optimal solutions by moving through a parameter space representing all possible solutions. Real ants lay down pheromones
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Theory and paradigm of statistics
_{\Theta },\pi )} to be a probability space over the parameter space. We can construct a new probability space ( Θ × Ω , Σ Θ ⊗ Σ Ω , Q ) {\displaystyle
Bayesian_statistics
Concept from geodesy
In geodesy and astrometry, earth orientation parameters (EOP) describe irregularities in the rotation of planet Earth. They are published by the International
Earth_orientation_parameters
Mandelbar Set
Milnor found tricorn-like sets as a prototypical configuration in the parameter space of real cubic polynomials, and in various other families of rational
Tricorn_(mathematics)
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
parameter space. Orbit portraits turn out to be useful combinatorial objects in studying the connection between the dynamics and the parameter spaces
Orbit_portrait
Theorem in differential topology
fields equal zero will necessarily appear. On certain 2-spheres of parameter space for electromagnetic waves in plasmas (or other complex media), these
Hairy_ball_theorem
Statistical technique used to correct for multiple comparisons
1-{\frac {\alpha }{m}}} . When searching for a signal in a continuous parameter space there can also be a problem of multiple comparisons, or look-elsewhere
Bonferroni_correction
PARAMETER SPACE
PARAMETER SPACE
Boy/Male
Hindu, Indian, Punjabi, Sikh, Traditional
The Greatest Warrior; Heroic
Girl/Female
Gujarati, Hindu, Indian
Star in Space
Girl/Female
Biblical
Spaces, places.
Boy/Male
Biblical
Breadth, space, extent.
Boy/Male
Hindu
Space
Surname or Lastname
English
English : variant of Parmenter.
Surname or Lastname
English
English : habitational name from either of two places in Cheshire. It is possible that the name originally denoted a building where village assemblies were held, named in Old English as ‘meeting-house’, from (ge)mÅt ‘meeting’ + ærn ‘house’, ‘hall’. Other possibilities are that the name derives from Old English (ge)mÅt-rÅ«m ‘meeting space’, or (ge)mÅt-treum ‘assembly trees’.
Boy/Male
Hindu
Space
Boy/Male
Hindu
Space
Surname or Lastname
English or Scottish
English or Scottish : unexplained.
Boy/Male
Indian
Open space, Battle field
Girl/Female
Maori
Open spaces.
Boy/Male
Hindu
Limitless space Avatar incarnation
Girl/Female
Tamil
Antariksha | அஂதரிகà¯à®·
Space, Sky
Antariksha | அஂதரிகà¯à®·
Surname or Lastname
English (mainly Essex)
English (mainly Essex) : occupational name for a maker of facings and trimmings, Middle English, Old French par(e)mentier (from parement ‘fitting’, ‘finishing’, Late Latin paramentum, a derivative of parare ‘to prepare or adorn’).
Boy/Male
Muslim
Open space, Battle field
Boy/Male
Indian, Punjabi, Sikh
Supreme Support
Surname or Lastname
English
English : occupational name for a wattler, Middle English watelere, i.e. someone who made the panels of interwoven twigs that were used to fill the spaces between the structural timbers of a timber frame building. See also Dauber.
Surname or Lastname
English
English : variant of Parmenter.
Boy/Male
Sikh
The greatest warrior, Supreme hero
PARAMETER SPACE
PARAMETER SPACE
Girl/Female
Muslim
In safety
Girl/Female
Afghan, Christian, Danish, Finnish, French, German, Greek, Gujarati, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Spanish, Tamil, Telugu
Woman with Intelligence; Pure; Intelligent; Light; Torch; Moon; Moon Elope; Soft; Good Student
Girl/Female
Hindu, Indian
Talent
Boy/Male
Arabic, Muslim
Courageous; Brave; Bold
Girl/Female
Hindu
Lord ramas mother (Mother of Rama)
Boy/Male
Hindu
Boy/Male
Arabic, Muslim
Excess; Surplus
Boy/Male
Arabic, Pakistani
Minister
Girl/Female
Indian, Marathi
With Beautiful Eyes Like a Kolam
Girl/Female
Australian, Irish, Nigerian
Precious Present; Gift of God
PARAMETER SPACE
PARAMETER SPACE
PARAMETER SPACE
PARAMETER SPACE
PARAMETER SPACE
a.
Having a parapet.
adv.
Peradventure. See Paraventure.
n.
An instrument for measuring degrees of heat above those indicated by the mercurial thermometer.
v. t.
A weatherglass; a barometer.
n.
A dynamometer for ascertaining the power required to draw carriages over roads.
a.
Pertaining to the barometer; made or indicated by a barometer; as, barometric changes; barometrical observations.
n.
A dynamometer for measuring the force required to draw wheel carriages on roads of different constructions.
n.
A plasterer.
n.
Specifically (Conic Sections), in the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.
n.
One of the symmetrical halves of any one of the radii, or spheromeres, of a radiate animal, as a starfish.
n.
The ratio of the three crystallographic axes which determines the position of any plane; also, the fundamental axial ratio for a given species.
n.
An aneroid barometer.
n.
A term applied to some characteristic magnitude whose value, invariable as long as one and the same function, curve, surface, etc., is considered, serves to distinguish that function, curve, surface, etc., from others of the same kind or family.
n.
An instrument for determining the extent and shape of the field of vision.
n.
An instrument used for measuring the expansion of solid bodies by heat.
n.
An instrument or machine for measuring work done, especially for ascertaining the number of rotations made by a machine or wheel in manufacturing cloth; a counter.
n.
An instrument for determining the weight or pressure of the atmosphere, and hence for judging of the probable changes of weather, or for ascertaining the height of any ascent.
n.
The outer boundary of a body or figure, or the sum of all the sides.