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Computer-aided geometric design
In mathematics, the progressive-iterative approximation method is an iterative method of data fitting with geometric meanings. Given a set of data points
Progressive-iterative approximation method
Progressive-iterative_approximation_method
Process of constructing a curve that has the best fit to a series of data points
Overfitting Plane curve Probability distribution fitting Progressive-iterative approximation method Sinusoidal model Smoothing Splines (interpolating, smoothing)
Curve_fitting
Optimization algorithm
globally convergent was proposed by Zillober. The Method of Moving Asymptotes functions as an iterative scheme. The key idea behind MMA is to approximate
Method_of_moving_asymptotes
Alignment of more than two molecular sequences
not considered further. This approximation improves efficiency at the cost of accuracy. By contrast, iterative methods can return to previously calculated
Multiple_sequence_alignment
Interplay between observation, experiment, and theory in science
that the mathematical method and the scientific method differ in detail, while nevertheless resembling each other in using iterative or recursive steps.
Scientific_method
Field of machine learning
difference methods. Using the so-called compatible function approximation method compromises generality and efficiency. An alternative method is to search
Reinforcement_learning
Algorithm used to solve non-linear least squares problems
Gauss–Newton algorithm it often converges faster than first-order methods. However, like other iterative optimization algorithms, the LMA finds only a local minimum
Levenberg–Marquardt_algorithm
Mathematical approximation of a function
called the nth Taylor polynomial of the function. Taylor polynomials are approximations of a function, which become generally more accurate as n increases.
Taylor_series
Branch of computational geometry
Parametric surfaces Solid modeling Space partitioning Progressive-iterative approximation method Farin, G.: "A History of Curves and Surfaces in CAGD"
Geometric_design
NP-hard problem in combinatorial optimization
and approximation algorithms, which quickly yield good solutions, have been devised. These include the multi-fragment algorithm. Modern methods can find
Travelling_salesman_problem
Periodicity computation method
The relationship between the DFT and the approximation of trigonometric functions using the least-squares method is well explained in (Strutz, 2017). A
Least-squares spectral analysis
Least-squares_spectral_analysis
Algorithm for solving the partition problem
In computer science, the largest differencing method is an algorithm for solving the partition problem and the multiway number partitioning. It is also
Largest_differencing_method
Process in bioinformatics that identifies equivalent sites within molecular sequences
weak point of the progressive methods. Iterative methods optimize an objective function based on a selected alignment scoring method by assigning an initial
Sequence_alignment
guaranteed approximation of the optimal solution in polynomial time. There are different approximation algorithms for different objectives. The approximation ratio
Multiway_number_partitioning
Branch of mathematics
inner approximation, the polyhedra are contained in the set, while in outer approximation, the polyhedra contain the set. The cutting-plane method is an
Global_optimization
Operation in mathematical calculus
of Chebyshev polynomials. Romberg's method halves the step widths incrementally, giving trapezoid approximations denoted by T(h0), T(h1), and so on, where
Integral
Technique to find image offset
the multiple iterations of extremely slow objective functions in iterative non-linear methods. Since all subpixel shift computation methods are fundamentally
Phase_correlation
Multidimensional data algorithm
Matching pursuit (MP) is a sparse approximation algorithm which finds the "best matching" projections of multidimensional data onto the span of an over-complete
Matching_pursuit
Multi-winner electoral system
party or voting bloc can take all seats in a district. The key to STV's approximation of proportionality is that each voter effectively only casts a single
Single_transferable_vote
Technique for finding an extremum of a function
boundary of the interval, it will converge to that boundary point. The method operates by successively narrowing the range of values on the specified
Golden-section_search
Mathematical approach to quantum physics
systems, one usually turns to other approximation schemes, such as the variational method and the WKB approximation. This is because there is no analogue
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Computational model used in machine learning
the opposite of the behavior of some well-studied iterative numerical schemes such as the Jacobi method. Deeper neural networks are more biased towards
Neural network (machine learning)
Neural_network_(machine_learning)
Producing images of 3D scenes
all points in a volume, and using evaluation of this approximation as the primary rendering method. One of the most widely used applications of machine
Rendering_(computer_graphics)
displacement method, DEM is a force method. While DDA uses displacement as variables in an implicit formulation with opening-closing iterations within each
Discontinuous deformation analysis
Discontinuous_deformation_analysis
Technique for the generative modeling of a continuous probability distribution
Given a density q {\displaystyle q} , we wish to learn a score function approximation f θ ≈ ∇ ln q {\displaystyle f_{\theta }\approx \nabla \ln q} . This
Diffusion_model
Method for analyzing stability of slopes of soil or rock
statically indeterminate. As a result, iterative methods have to be used to solve for the factor of safety. The method has been shown to produce factor of
Slope_stability_analysis
Lossy image compression algorithm
magnitudes and iteratively decreasing the threshold, it is possible to create a compressed representation of an image which progressively adds finer detail
Embedded zerotrees of wavelet transforms
Embedded_zerotrees_of_wavelet_transforms
Research topic in computational geometry
but is amenable to linear approximations if the change in X {\displaystyle X} is small. An iterative solution such as Iterative Closest Point (ICP) is therefore
Geometry_processing
Technique to solve geological problems by computational simulation
Finite Difference Methods. Clarendon Press. ISBN 978-0-19-859650-9. CUNDALL, P. A. (1971). "A computer model for simulating progressive, large scale movement
Numerical_modeling_(geology)
Statistical method that summarizes and/or integrates data from multiple sources
advanced iterative techniques for computing the between studies variance exist including both maximum likelihood and restricted maximum likelihood methods and
Meta-analysis
Population-based search algorithm
shrinking procedure. As a result, the scope of the local exploration is progressively focused on the area immediately close to the local fitness best. If
Bees_algorithm
Transform in numerical harmonic analysis
outputs give the detail coefficients (from the high-pass filter) and approximation coefficients (from the low-pass). It is important that the two filters
Discrete_wavelet_transform
Application of computational algorithms, methods and programs to phylogenetic analyses
as the basis for progressive and iterative types of multiple sequence alignments. The main disadvantage of distance-matrix methods is their inability
Computational_phylogenetics
Group of rendering algorithms used in 3D computer graphics
reflections, refraction, and indirect shadowing, which allows for a closer approximation of the reality and produces more appealing images. The algorithms used
Global_illumination
Family of higher-order functions
in 15, the sum of the elements of the list [1,2,3,4,5]. To a rough approximation, one can think of this fold as replacing the commas in the list with
Fold_(higher-order_function)
Stochastic volatility model used in derivatives markets
generally somewhat more accurate than the lognormal implied volatility. The approximation accuracy and the degree of arbitrage can be further improved if the
SABR_volatility_model
Arrangement of keys on a typographic keyboard
entered using various approximations to Hepburn romanization or Kunrei-shiki romanization. There are several kana-based typing methods. Of the three, Chinese
Keyboard_layout
Study of programming languages via mathematical objects
Furthermore, this iterative process of better approximations of the factorial function forms an expansive (also called progressive) mapping because each
Denotational_semantics
variable Joint probability distribution Marginal distribution Kirkwood approximation Independent identically-distributed random variables Independent and
List_of_probability_topics
Representation of a type of random process
decay time ( τ {\displaystyle \tau } ), then we can use a continuum approximation to B n {\displaystyle B_{n}} : B ( t ) ≈ σ ε 2 1 − φ 2 φ | t | {\displaystyle
Autoregressive_model
Technique used in signal processing and data compression
implementing DCT. One of these is the integer DCT (IntDCT), an integer approximation of the standard DCT, used in several ISO/IEC and ITU-T international
Discrete_cosine_transform
Belgian American mathematician (1937–2025)
used to study the convergence iterative methods of stochastic optimization and has had applications in the approximation theory of statistics. A metric
Roger_J-B_Wets
Robust local feature detector
transformations than SIFT. To detect interest points, SURF uses an integer approximation of the determinant of Hessian blob detector, which can be computed with
Speeded_up_robust_features
Soviet-American economist and Nobel Laureate (1906–1999)
to rough approximations rather than prediction. Input–output was novel and inspired large-scale empirical work; in 2010 its iterative method was recognized
Wassily_Leontief
Simple polynomial map exhibiting chaotic behavior
discrimination method based on equation (3-1) works by approximating the map to the first order near the fixed point. When r = 1, this approximation does not
Logistic_map
Type of feedforward neural network
unfeasible for large values of n {\displaystyle n} . However, we can find an approximation by using the full network with each node's output weighted by a factor
Convolutional_neural_network
Form of causal modeling that fit networks of constructs to data
maximum likelihood estimation, and closed form algebraic calculations, as iterative solution search techniques were limited in the days before computers.
Structural_equation_modeling
Method of image retrieval
Machine learning and application of iterative techniques are becoming more common in CBIR. Other query methods include browsing for example images, navigating
Content-based_image_retrieval
Software that systematically browses the World Wide Web
notably, breadth-first and the omniscient visit) provide very poor progressive approximations. Baeza-Yates et al. used simulation on two subsets of the Web
Web_crawler
Arithmetic operation
multiplication on a slide rule. The formula is still a good first-order approximation in the broad context of Lie groups, where it relates multiplication
Addition
Proof all ranked voting rules have spoilers
assumptions of ranked procedures more explicit by modeling them as approximations of the utilitarian rule (or score voting). In psychometrics, there is
Arrow's_impossibility_theorem
response theory Item-total correlation Item tree analysis Iterative proportional fitting Iteratively reweighted least squares Itô calculus Itô isometry Itô's
List_of_statistics_articles
Loss of quantum coherence
defining characteristic for decoherence to become einselection. The approximation becomes more exact as the number of environmental degrees of freedom
Quantum_decoherence
Compilation of software used to produce phylogenetic trees
PMID 32011700. Minh BQ, Nguyen MA, von Haeseler A (May 2013). "Ultrafast approximation for phylogenetic bootstrap". Molecular Biology and Evolution. 30 (5):
List of phylogenetics software
List_of_phylogenetics_software
Intelligence of machines
of potent inhibitors of α-synuclein aggregation using structure-based iterative learning". Nature Chemical Biology. 20 (5). Nature: 634–645. doi:10
Artificial_intelligence
Optimality criterion in phylogeny
heuristic methods which do not guarantee that the shortest tree will be recovered. These methods employ hill-climbing algorithms to progressively approach
Maximum_parsimony
Method of solving computing problems
self-similarity at different scales. Fractals generation involves small iterative algorithms. The fractals have dimensions greater than their topological
Lateral_computing
German astronomer and mathematician (1571–1630)
contributed to the development of infinitesimal methods and numerical analysis, including iterative approximations, infinitesimals, and the early use of logarithms
Johannes_Kepler
Business management method
practitioners need to be aware that even the best statistical model is an approximation to reality. In practice, both the models and the parameter values are
Design_for_Six_Sigma
Performing arts centre in Australia
Hornibrook director in charge of the project, provided the following approximations in 1973: Stage I: podium Civil & Civic approximately $5.5m. Stage II:
Sydney_Opera_House
Computer system to provide instruction to learners
al. (1997) summarized ITS design and development as consisting of four iterative stages: (1) needs assessment, (2) cognitive task analysis, (3) initial
Intelligent_tutoring_system
Removable disk storage medium
other sizes are defined in millimeters, their names being but rough approximations. Different sizes of floppy disks are mechanically incompatible, and
Floppy_disk
Electrical system design based on power distribution
hence approximations and intuition are used. Power grid analysis can be classified into input vector dependent methods and vectorless methods. The input
Power_network_design_(IC)
Class of statistical models
relies on iteratively optimizing a nonlinear problem, locally linearizing the model around this optimum and then employing conventional methods from linear
Nonlinear_mixed-effects_model
Artificial device that replaces a missing body part
onto the prosthetic. This would allow the researchers to get a good approximation of the same kind of information that the patient would receive from
Prosthesis
American jazz composer and bandleader (1914–1993)
of surprises and the following categories should be regarded only as approximations. The first period occurred in the 1950s when Sun Ra's music evolved
Sun_Ra
Approach used in computer vision systems
I(u+x,v+y)\approx I(u,v)+I_{x}(u,v)x+I_{y}(u,v)y.} This produces the approximation S ( x , y ) ≈ ∑ u ∑ v w ( u , v ) [ I x ( u , v ) x + I y ( u , v )
Corner_detection
provide good constraints on the orientation of principal stress axes. The approximation is built upon the assumption that the orientation of maximum principal
Paleostress_inversion
Coupon collector's problem / gmb (F:D) Graphical model / (F:D) Kirkwood approximation / (F:D) Mutual information / (23F:DC) Random field / (F:D) Random walk /
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Unfinished studio album by the Beach Boys
The 2011 compilation The Smile Sessions included the first official approximation of the Beach Boys' completed album and received universal acclaim. By
Smile_(The_Beach_Boys_album)
Mathematical descriptions of the properties of certain cells in the nervous system
equivalent to the quadratic integrate-and-fire model which in turn is an approximation to the exponential integrate-and-fire model and the Hodgkin-Huxley model
Biological_neuron_model
Shortest network connecting points
to guide a moving least squares method. Another application of minimum spanning trees is a constant-factor approximation algorithm for the Euclidean traveling
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Economic theories, practices and norms of socialism
was undertaken annually and involved a process of iteration (the "method of successive approximation"). Although nominally a "centrally planned" economy
Socialist_economics
Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iterations, and Averaging Methods. World Scientific. ISBN 978-981-4291-65-1. Mickens, Ronald
List of Vanderbilt University people
List_of_Vanderbilt_University_people
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
Girl/Female
Arabic, Muslim
Imperative; Essential
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Fast; Progressive; Lord Shiva
Boy/Male
Hindu
Ascending, Progressing
Girl/Female
Muslim
Progressive, Productive
Boy/Male
Tamil
Blossoming, Progressing
Girl/Female
Muslim/Islamic
Progressive productive
Boy/Male
Hindu, Indian, Sanskrit
Progressive; Progress
Girl/Female
Hindu, Indian
Progressive
Girl/Female
Hindu, Indian, Sanskrit
Progressive; Progress
Boy/Male
Hindu
Fast, Progressive
Boy/Male
Tamil
Fast, Progressive
Boy/Male
Hindu, Indian, Telugu
Observation; Progressive; Lord Ganesh
Boy/Male
Arabic, Hindu, Indian, Islamic, Muslim, Urdu
Happiness; Fragrance; Ascending; Increasing; Progressive
Boy/Male
Hindu, Indian, Oriya, Sanskrit
Speed; Fast; Progressive
Boy/Male
Hindu, Indian, Kannada, Marathi, Telugu
Not Progressive
Girl/Female
Indian
Progressive, Productive
Boy/Male
Hindu, Indian
Progressive
Boy/Male
Tamil
Ascending, Progressing
Boy/Male
Hindu
Blossoming, Progressing
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Good Looking; Interactive; Brightness
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
Female
Swiss
, grace.
Boy/Male
Hindu, Indian, Marathi
Fragrance; Flower; Sum; Total
Biblical
desire
Boy/Male
Gujarati, Indian
King
Boy/Male
Hindu
Hymns of Lord, Verse
Female
English
Pet form of English Cara, CARITA means "beloved" or "friend."
Boy/Male
Indian, Telugu
Active Person; Sword
Female
Serbian
Croatian and Serbian form of Hebrew Miryam, MIRJANA means "obstinacy, rebelliousness" or "their rebellion."Â
Girl/Female
Muslim/Islamic
Precious stones jewels
Boy/Male
Muslim
Eternal, Immortal, One of ninety nine names of God
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
PROGRESSIVE ITERATIVE-APPROXIMATION-METHOD
a.
Operative.
n.
A continual approach or coming nearer to a result; as, to solve an equation by approximation.
n.
Iteration.
adv.
By way of iteration.
a.
Improving; as, art is in a progressive state.
a.
Expressive of command; containing positive command; authoritatively or absolutely directive; commanding; authoritative; as, imperative orders.
a.
Expressive of commund, entreaty, advice, or exhortation; as, the imperative mood.
n.
A value that is nearly but not exactly correct.
n.
The imperative mood; also, a verb in the imperative mood.
a.
Moving forward; proceeding onward; advancing; evincing progress; increasing; as, progressive motion or course; -- opposed to retrograde.
a.
Not progressive.
n.
The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating.
a.
Based upon, or consisting of, an operation or operations; as, operative surgery.
adv.
With approximation; so as to approximate; nearly.
a.
Producing the appropriate or designed effect; efficacious; as, an operative dose, rule, or penalty.
a.
Not to be avoided or evaded; obligatory; binding; compulsory; as, an imperative duty or order.
v. t.
To utter or do a second time or many times; to repeat; as, to iterate advice.
a.
Having the power of acting; hence, exerting force, physical or moral; active in the production of effects; as, an operative motive.
p. pr. & vb. n.
of Iterate
a.
Imperative.