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Concept in machine learning
automatic basis function construction, also known as basis discovery, is a technique that finds a set of general-purpose (task-independent) basis functions
Automatic basis function construction
Automatic_basis_function_construction
methods (mathematical analysis, differential equations) Welch's method Automatic basis function construction List of graphical methods Scientific method
List of mathematics-based methods
List_of_mathematics-based_methods
Set of functions used to represent the electronic wave function
computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartree–Fock
Basis_set_(chemistry)
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
symmetric functions, and the distinct monomial symmetric functions therefore form a basis of ΛR as an R-module. The elementary symmetric functions ek, for
Ring_of_symmetric_functions
Polynomials used for interpolation
better basis, the Lagrange basis, , we merely get the identity matrix, , which is its own inverse: the Lagrange basis automatically inverts the analog of the
Lagrange_polynomial
Use of various control systems for operating equipment
mathematical basis of control theory began in the 18th century and advanced rapidly in the 20th. The term automation, inspired by the earlier word automatic (coming
Automation
Collection of open sets used to define a topology
In mathematics, a base (or basis; pl.: bases) for the topology τ {\displaystyle \tau } of a topological space ( X , τ ) {\displaystyle (X,\tau )} is a
Base_(topology)
Mathematical function with no sudden changes
topological spaces. The latter are the most general continuous functions, and their definition is the basis of topology. A stronger form of continuity is uniform
Continuous_function
Austrian firearms designer (1848 - 1904)
his experimental designs for semi-automatic rifles, developed at a time when ammunition was not suitable to function properly in such a weapon[citation
Ferdinand_Mannlicher
Technology for determining a vehicle's geographic location
wider range of data as part of telematics. An Automatic vehicle location system (AVLS) typically functions in three stages: position determination, data
Automatic_vehicle_location
United States automatic rifle family
The Browning automatic rifle (BAR) is a family of American automatic rifle used by the United States and numerous other countries during the 20th century
M1918 Browning automatic rifle
M1918_Browning_automatic_rifle
Mathematical operation on vector spaces
In either construction, the tensor product of two vectors is defined from their decomposition on the bases. More precisely, taking the basis decompositions
Tensor_product
Measurement tool
different combinations of temperature and apparent RDS, the basis of so-called "Automatic Temperature Compensation" (ATC). The other is to measure the
Refractometer
Algebra of formal sums
pointwise addition of functions. Every set B {\displaystyle B} has a free abelian group with B {\displaystyle B} as its basis. This group is unique in
Free_abelian_group
Overview of and topical guide to machine learning
Natural language processing Named Entity Recognition Automatic summarization Automatic taxonomy construction Dialog system Grammar checker Language recognition
Outline_of_machine_learning
Algebraic structure in linear algebra
polynomial function in λ, called the characteristic polynomial of f. If the field F is large enough to contain a zero of this polynomial (which automatically happens
Vector_space
Mathematical modelling alogorithm
implicitly acknowledges different types of uncertainty during the automatic construction of the optimal model. During development was established an organic
Group_method_of_data_handling
Member of the US Naval Construction Forces
plus four Construction Companies: A, B, C, & D. CBs are organized to function as independent self sufficient units. Regiment: Naval Construction Regiments
Seabee
Type of cost analysis software
required for a construction project by the construction documents. Together with prices for these components, the measured quantities are the basis for calculation
Construction estimating software
Construction_estimating_software
1940s electromechanical computer
The Automatic Relay Calculator (ARC) was an early electromechanical computer developed at Birkbeck College, University of London in the mid-1940s. Designed
Automatic_Relay_Calculator
Method of analysis applied to problems wave propagation
making Huygens's construction quantitatively correct. In 2021, Forrest L. Anderson showed that treating the wavelets as Dirac delta functions, summing and
Huygens–Fresnel_principle
Automatic vehicle transmission, 1957–1961
most automatic transmissions, the drive turbine only functions as an input to the transmission, where the power is redirected to gears in its automatic gearbox
Turboglide
Type of knife
A switchblade (also known as switch knife, automatic knife, pushbutton knife, ejector knife, flick knife, gravity knife, flick blade, or spring knife)
Switchblade
Software that translates code from one programming language to another
etc. Accurate analysis is the basis for any compiler optimization. The control-flow graph of every compiled function and the call graph of the program
Compiler
Topics referred to by the same term
Mel-frequency cepstrum, a representation of sounds used in applications such as automatic speech recognition Memory flow controller, a part of a computer architecture
MFC
General-purpose programming language
static objects is useful for maintaining state information across function calls, automatic allocation is easy to use but stack space is typically much more
C_(programming_language)
proto-value functions (PVFs) are automatically learned basis functions that are useful in approximating task-specific value functions, providing a compact
Proto-value_function
Faculty of mind to store and retrieve data
implicit functions by the working memory processor. The working memory also retrieves information from previously stored material. Finally, the function of
Memory
Property which distinguishes literature from ordinary text
defined solely on the basis of linguistic properties found within a text but that the reader is also a crucial factor in the construction of meaning. They
Literariness
Uncontrolled fire in forests or open spaces
from the original (PDF) on 26 February 2009. Retrieved 9 January 2009. "Automatic remote surveillance system for the prevention of forest fires" (PDF).
Wildfire
Concept in statistics
density function f {\displaystyle f} or its second derivative f ″ {\displaystyle f''} . To overcome that difficulty, a variety of automatic, data-based
Kernel_density_estimation
Computation model defining an abstract machine
compute the same functions. But what Church had done was something rather different, and in a certain sense weaker. ... the Turing construction was more direct
Turing_machine
About mathematical functions
output as it depends on the input or the change in the input. Such functions are the basis of calculus. In the first volume of his fundamental text Introductio
History of the function concept
History_of_the_function_concept
limited. In the second category are functions which are not based on mathematical problems, but on an ad-hoc constructions, in which the bits of the message
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
Concepts from linear algebra
of square integrable functions. Since this space is a Hilbert space with a well-defined scalar product, one can introduce a basis set in which ψE and H
Eigenvalues_and_eigenvectors
Field of sexual orientation research
of the hypothalamus, which stores gender identity, are undeveloped and function as female. The action of the SRY gene in the Y chromosome in the fetus
Biology and sexual orientation
Biology_and_sexual_orientation
Lamp mounted in the front of a vehicle
Cornering light function Adaptive Highbeam Assist is Mercedes-Benz's marketing name for a headlight control strategy that continuously automatically tailors the
Headlamp
Design pattern in functional programming to build generic types
block; the compiler then automatically translates these expressions into underlying functional code. Translating the add function from the Maybe into Haskell
Monad (functional programming)
Monad_(functional_programming)
Vertical transport machine
were significantly enhanced by Frank Sprague, who added floor control, automatic operation, acceleration control, and further safety devices. His elevator
Elevator
Comprehensive outline of core abstractions in the field of computer science
predictable. By treating computation as the evaluation of mathematical functions, functional programming moves away from the mutable state and side effects
List of abstractions (computer science)
List_of_abstractions_(computer_science)
Historic US military computer and radar network
creation of automatic equipment for radar-detection which would relay information to an air defense control system, a system which would function without
Semi-Automatic Ground Environment
Semi-Automatic_Ground_Environment
Programmable machine that processes data
A computer is a machine that can be programmed to automatically carry out sequences of arithmetic or logical operations (computation). Modern digital
Computer
Property of artificial neural networks
J.; Sandberg, I. W. (1991). "Universal Approximation Using Radial-Basis-Function Networks". Neural Computation. 3 (2): 246–257. doi:10.1162/neco.1991
Universal approximation theorem
Universal_approximation_theorem
Type of assault rifle
which had just been selected by the U.S. military as the M16. A semi-automatic version known as the AR-180 was later produced for the civilian market
ArmaLite_AR-18
Government system where political power lies with the people
identified by commentators as foundational characteristics for a well-functioning democracy. In some countries, notably in the United Kingdom (which originated
Democracy
the affixing of CE marking to construction products. Introduce the need to issue a declaration of performance as a basis for CE marking. Define clear rules
Regulation_(EU)_No._305/2011
Measurement of the direction from which a received signal was transmitted
frequencies can be used, allowing the use of much smaller antennas. An automatic direction finder, which could be tuned to radio beacons called non-directional
Direction_finding
Computer programming convention
the statements in the body of the function are indented an additional level. A multi-statement block inside a function, however, has its opening brace on
Indentation_style
Second generation of Mercedes-Benz E-Class
steering-wheel controls for audio, navigation and telephone functions. The five-speed automatic transmission received a manual +/- selector gate, marketed
Mercedes-Benz_E-Class_(W210)
Computer compiler optimization technique
compiler optimization, register allocation is the process of assigning local automatic variables and expression results to a limited number of processor registers
Register_allocation
Sociological theory of society
constructs that function like organisms, with their various (or social institutions) working together in an unconscious, quasi-automatic fashion toward
Structural_functionalism
Method in which data is created algorithmically as opposed to manually
Scenery generator – Type of software Simplex noise – Construction for n-dimensional noise functions Synthetic media – Artificial production of media by
Procedural_generation
Collection of random variables
the construction of such a stochastic process, it is assumed that the sample functions of the stochastic process belong to some suitable function space
Stochastic_process
Free online crowdsourced encyclopedia
to support various operations. One of the most important areas is the automatic detection of vandalism and data quality assessment in Wikipedia. Several
Wikipedia
Disruption of cognitive control processes
executive dysfunction, or executive function deficit, is a disruption to the efficacy of the executive functions, which is a group of cognitive processes
Executive_dysfunction
Type of logical system
quantifier constructions in natural language, such as "every person who lives in Perth lives in Australia". Hence, first-order logic is used as a basis for knowledge
First-order_logic
Real numbers adjoined with a nil-squaring element
compositions of these functions over the dual numbers and examining the coefficient of ε in the result we find we have automatically computed the derivative
Dual_number
American auto-loading carbine
(formally the United States Carbine, Caliber .30, M1) is a lightweight semi-automatic rifle chambered in the .30 carbine (7.62×33mm) cartridge that was issued
M1_carbine
Office in Makati, Philippines
locations controlled at the central command station on a 24-hour basis, fire alarm and automatic fire sprinkler systems, dual water supply with water treatment
PBCom_Tower
Type of machine learning model
summarize, translate, and analyze text in many contexts. They are the basis for many modern chatbots, such as ChatGPT, Claude, Vibe, Gemini, Grok, Qwen
Large_language_model
Manifold upon which it is possible to perform calculus
not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of the construction (via the quotients of local
Differentiable_manifold
Subject area in mathematics
as well as more modern concerns like the construction of higher regulators and special values of L-functions. The lower K-groups were discovered first
Algebraic_K-theory
Mode of transport
of railroads provided the basis for a dramatic expansion of the private (non-governmental) financial system. Construction of railroads was far more expensive
Rail_transport
Suspension of the tribunal's president
Vice-President of the Constitutional Tribunal have no legal basis", and that "no law provides for the construction referred to by Anna Korwin-Piotrowska" in her letter
2026 Polish Constitutional Tribunal crisis
2026_Polish_Constitutional_Tribunal_crisis
Neural network development environment
(programming) Jordan/Elman Principal component analysis (PCA) Radial basis function network (RBF) General regression neural network (GRNN) Probabilistic
NeuroSolutions
Grouping by physical or social qualities
one-drop rule, as it was in the United States. A Brazilian child was never automatically identified with the racial type of one or both parents, nor were there
Race_(human_categorization)
Secure communication method
QKD (quantum key distribution) systems also have the advantage of being automatic, with greater reliability and lower operating costs than a secure human
Quantum_key_distribution
Functional analysis concept
separable, one can mix the basis (en) with a countable orthonormal basis for the kernel of T, and obtain a countable orthonormal basis (fn) for the total space
Compact operator on Hilbert space
Compact_operator_on_Hilbert_space
Process of reducing the number of random variables under consideration
missing data in digital image processing. With a stable component basis during construction, and a linear modeling process, sequential NMF is able to preserve
Dimensionality_reduction
Mathematical space with a notion of distance
distance between its points. The distance is measured by a function called a metric or distance function. Metric spaces are a general setting for studying many
Metric_space
Branch of mathematics
which include, in particular, quantum mechanics (wave functions) and Fourier analysis (orthogonal basis). Nearly all scientific computations involve linear
Linear_algebra
Monster and modular connection
unexpected connection between the monster group M and modular functions, in particular the j function. The initial numerical observation was made by John McKay
Monstrous_moonshine
Function from sets to numbers
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes
Set_function
Russian weapons and motor vehicle manufacturer
RPK light machine gun series, the Dragunov SVD semi-automatic sniper rifle, the SKS semi-automatic carbine, the Makarov PM pistol, the Saiga-12 shotgun
Kalashnikov_Concern
Hidden Markov model algorithm
called Hybrid Forward Algorithm (HFA) can be used for the construction of radial basis function (RBF) neural networks with tunable nodes. The RBF neural
Forward_algorithm
Full-size automobile produced by Mercury (1975-2011)
Mercury Colony Park station wagon up to 1991. The fourth generation was the basis of the 2003 and 2004 Mercury Marauder. From 1979 until 2011, the Grand Marquis
Mercury_Grand_Marquis
Attitudes and behaviors towards sex in ancient Rome
anticipation of pleasure. The body's response to physical attractiveness is automatic, and neither the character of the person desired nor one's own choice
Sexuality_in_ancient_Rome
Special type of air gun used in airsoft
readies the gun. Because of this, spring guns are incapable of automatic or semi-automatic firing by design.[AI-retrieved source] Spring-powered airsoft
Airsoft_gun
Rewriting system and type of formal grammar
larger string of symbols, an initial "axiom" string from which to begin construction, and a mechanism for translating the generated strings into geometric
L-system
commercial automatic cellular system. However, according to the Swedish Post and Telecom Authority, the company launched an unlicensed automatic system.
Timeline of historic inventions
Timeline_of_historic_inventions
Branch of engineering and mathematics
generalization of Lyapunov function to input/state/output systems. The construction of the storage function, as the analogue of a Lyapunov function is called, led
Control_theory
Physics of heat, work, and temperature
for the construction of practical thermometers. The zeroth law was not initially recognized as a separate law of thermodynamics, as its basis in thermodynamical
Thermodynamics
phrases are themselves translations of Greek phrases. This list is an automatically updated combination of the twenty lists of Latin phrases starting by
List_of_Latin_phrases_(full)
Reliable digital data delivery methods on unreliable channels
known as automatic repeat request (ARQ), and is most notably used on the Internet. An alternate approach for error control is hybrid automatic repeat request
Error detection and correction
Error_detection_and_correction
methods are used to introduce randomness. aggregate function In database management, a function in which the values of multiple rows are grouped together
Glossary_of_computer_science
2021–22 coalition led by Naftali Bennett and Yair Lapid
government, after the Netanyahu-Gantz rotation government, to function under an automatic and legally-binding system of rotation in the position of prime
Thirty-sixth government of Israel
Thirty-sixth_government_of_Israel
Function describing an electron in an atom
mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function describes an electron's charge
Atomic_orbital
First modern automobile
could be seen. This was needed because the level was not maintained automatically. Instead, the flow rate of fuel had to be managed to match consumption
Benz_Patent-Motorwagen
Type of firearm action
form of blowback (example: primer actuation) to perform the unlocking function. The blowback principle may be considered a simplified form of gas operation
Blowback_(firearms)
Aftermarket electronic fuel injection controller
boost control, water injection, fan control, etc.), self-tuning functions (Automatic Mixture Control - AMC), and fuel control to 1 μs (100 times more
MegaSquirt
Methods that imitate, replicate or use natural processes
abstracted from natural phenomena as diverse as self-replication, the functioning of the brain, Darwinian evolution, group behavior, the immune system
Natural_computing
Type of temperature sensor (thermometer)
wire wrapped around a heat-resistant ceramic or glass core but other constructions are also used. The RTD wire is typically platinum (Pt), nickel (Ni)
Resistance_thermometer
Alternate way to define a function in APL
"shy"—not automatically displayed in the session. Names assigned in a dfn are local by default, with lexical scope. ⍺ denotes the left function argument
Direct_function
Vector space with generalized dot product
distance function Orthogonal basis – Basis consisting of mutually orthogonal vectors Orthogonal complement – Concept in linear algebra Orthonormal basis – Specific
Inner_product_space
American subsidiary of automaker Stellantis
Chrysler Corporation began dividing its vehicle offerings by price class and function. The Plymouth brand was introduced at the low-priced end of the market
Chrysler
American lawyer and statesman (born 1930)
officials. The Troika, under Baker's guidance, significantly restricted automatic access to Reagan to only family, Bush, and certain White House support
James_Baker
Set of points on a line segment with certain topological properties
was automatically turned off by a mention of Cantor, ready to run a mile from anyone claiming 𝒞 to be interesting in science." The indicator function of
Cantor_set
Suburban commuter rail network in the Paris region
Métro's line 13 has been extended to perform a similar function. The RER's first phase of construction during the 1960s and 1970s was marked by scale and
Réseau_Express_Régional
Practice and study of secure communication techniques
plaintext letter at the limit). He also invented what was probably the first automatic cipher device, a wheel that implemented a partial realization of his invention
Cryptography
travel, tourism, insurance
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
Muslim
Smiling, Happy
Girl/Female
Latin
Fortuna.
Boy/Male
Indian
Friction
Girl/Female
Arabic, Muslim
Aromatic Sweet Basil
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
Girl/Female
Arabic, Muslim
Aromatic; Sweet Basil
Boy/Male
Muslim
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Male
English
 English form of French Basile, BASIL means "king." Also sometimes given as an herb name.
Boy/Male
Tamil
King, Basil the herb
Boy/Male
Indian
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Boy/Male
Muslim
Clear
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Female
Hebrew
 Variant spelling of Hebrew Basya, BASIA means "daughter of God."
Girl/Female
Afghan, Arabic, Australian
Aromatic; Sweet Basil
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Greek
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Muslim
King, Basil the herb (1)
Boy/Male
Greek American English
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Hindu
King, Basil the herb
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
pl.
of Bass
n.
The things sold by auction or put up to auction.
a.
A bass, or deep, sound or tone.
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The two American fresh-water species of black bass (genus Micropterus). See Black bass.
n.
The quantity contained in a basin.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Pertaining to, or produced by, an automaton; of the nature of an automaton; self-acting or self-regulating under fixed conditions; -- esp. applied to machinery or devices in which certain things formerly or usually done by hand are done by the machine or device itself; as, the automatic feed of a lathe; automatic gas lighting; an automatic engine or switch; an automatic mouse.
n.
The state or quality of being automatic; the power of self-moving; automatic, mechanical, or involuntary action. (Metaph.) A theory as to the activity of matter.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The name given to several aromatic herbs of the Mint family, but chiefly to the common or sweet basil (Ocymum basilicum), and the bush basil, or lesser basil (O. minimum), the leaves of which are used in cookery. The name is also given to several kinds of mountain mint (Pycnanthemum).
v. t.
To sell by auction.
v. t.
The act of uniting, or the state of being united; junction.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
pl.
of Automaton
pl.
of Basis
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
a.
Alt. of Automatical
a.
Not voluntary; not depending on the will; mechanical; as, automatic movements or functions.
travel, tourism, insurance