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In statistical learning theory, a learnable function class is a set of functions for which an algorithm can be devised to asymptotically minimize the expected
Learnable_function_class
Attribute of machine learning models
characterization of PAC-learnable classes that ℋ is PAC-learnable, and by extension, learnable. Suppose ℋ is a class of binary functions (functions to {0,1}). Then
Sample_complexity
Class of reinforcement learning algorithms
a class of reinforcement learning algorithms and a sub-class of policy optimization methods. Unlike value-based methods which learn a value function to
Policy_gradient_method
Framework for mathematical analysis of machine learning
X, and for all 0<ϵ,δ<1 then C is (efficiently) PAC learnable (or distribution-free PAC learnable). We can also say that A is a PAC learning algorithm
Probably approximately correct learning
Probably_approximately_correct_learning
Overview of and topical guide to machine learning
Latent class model Latent semantic analysis Latent variable Latent variable model Lattice Miner Layered hidden Markov model Learnable function class Least
Outline_of_machine_learning
special comparison functions. Class K {\displaystyle {\mathcal {K}}} functions belong to this family: Definition: a continuous function α : [ 0 , a ) → [
Class_kappa_function
Type of feedforward neural network
a hidden layer with randomized weights that did not learn, and an output layer with learnable connections. In 1962, Rosenblatt published many variants
Multilayer_perceptron
Computational learning model
(i.e., an arbitrary function) is allowed, then an indexed class of languages is learnable in the limit if each language in the class has a tell-tale (Condition
Language identification in the limit
Language_identification_in_the_limit
Type of data structure
collectively referred to as non-union classes) that has data and functions (also called member variables and member functions) as its members whose access is
C++_classes
Smooth approximation of one-hot arg max
network to a probability distribution over predicted output classes. The softmax function takes as input a tuple z of K real numbers and normalizes it
Softmax_function
efficiently SQ-learnable class is efficiently PAC learnable in the presence of classification noise, but there exist efficient PAC-learnable problems such
Error tolerance (PAC learning)
Error_tolerance_(PAC_learning)
Part of signal analysis and signal processing
for time–frequency signal analysis. This class is similar in formulation to Cohen's class distribution function that was used in 1966 in the context of
Bilinear time–frequency distribution
Bilinear_time–frequency_distribution
Indicator function of positive numbers
of the general class of step functions, all of which can be represented as linear combinations of translations of this one. The function was originally
Heaviside_step_function
Probability that random variable X is less than or equal to x
cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,
Cumulative distribution function
Cumulative_distribution_function
Capability of some programming languages
an overloaded function will run a specific implementation of that function appropriate to the context of the call, allowing one function call to perform
Function_overloading
Quantum algorithm
of distinguishing between two different classes of functions, it tries to learn a string encoded in a function. The Bernstein–Vazirani algorithm was designed
Bernstein–Vazirani_algorithm
Generic type features in C++
programming language that allow functions and classes to operate with generic types. This allows a function or class declaration to reference via a generic
Template_(C++)
Scripting language created in 1994
} public function greet(): string { return "Hello, my name is " . $this->name; } abstract public function job(): string; } class Student extends
PHP
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}
Gaussian_function
Type of continuity of a complex-valued function
In mathematics, we say that a function satisfies a Hölder condition, or is α {\displaystyle \alpha } -Hölder continuous or simply Hölder continuous, if
Hölder_condition
Machine learning technique
fi(y|x)=N(y|Aix+bi,Σi), where Ai,bi,Σi are learnable parameters. In words, each expert learns to do linear regression, with a learnable uncertainty estimate. One can
Mixture_of_experts
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Type of Dirichlet series associated to number field extensions
absolute norms of ideals. These functions were introduced in 1923 by Emil Artin, in connection with his research into class field theory. They play an important
Artin_L-function
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Concept in theoretical computer science
Reversal Turing Machine (RTM) class, SRTM(6) ≥ 47339970 and ΣRTM(6) ≥ 6147. Likewise we could define an analog to the Σ function for register machines as the
Busy_beaver
Function definition that is not bound to an identifier
with first-class functions, where they fulfil the same role for the function type as literals do for other data types. Anonymous functions originate in
Anonymous_function
Class of supercarriers for the U.S. Navy
Ford-class aircraft carrier is a class of nuclear-powered aircraft carriers built for the United States Navy to replace portions of the aging Nimitz-class
Gerald R. Ford-class aircraft carrier
Gerald_R._Ford-class_aircraft_carrier
Machine learning technique
form of attentionzij=tanh(qiWQ+kjWK)wTwhere WQ,WK are learnable matrices, and w is a learnable vector. Luong et al (2015) attempted to improve upon Bahdanau
Attention_(machine_learning)
Ratio of polynomial functions
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator
Rational_function
Theory of machine learning
results – Showing that a certain class of functions is learnable in polynomial time. Negative results – Showing that certain classes cannot be learned in polynomial
Computational_learning_theory
Password cracking dataset
is a precomputed table for caching the outputs of a cryptographic hash function, usually for cracking password hashes. Passwords are typically stored not
Rainbow_table
Inheritable and overridable function or method for which dynamic dispatch is facilitated
being overridden by derived classes (such as the final and private keywords in Java and PHP). The concept of the virtual function solves the following problem:
Virtual_function
Optimization algorithm for artificial neural networks
respect to a loss function. Denote: x: input (vector of features) y: target output For classification, output will be a vector of class probabilities (e
Backpropagation
Function defined by multiple sub-functions
mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned
Piecewise_function
Guided-missile destroyer class in the Japanese Maritime Self-Defense Forces
made in many areas. Most notable are those that allow the Hatakaze-class to function as a group flagship. Normally, this duty resides with a larger type
Hatakaze-class_destroyer
Computational operation
10.2. The remainder functions compute the remainder x REM y required by IEC 60559. "Expressions - C# language specification". learn.microsoft.com. Retrieved
Modulo
1940s class of aircraft carrier of the United States Navy
Essex class is a retired class of aircraft carriers of the United States Navy. The 20th century's most numerous class of capital ship, the class consisted
Essex-class_aircraft_carrier
Sequence of program instructions invokable by other software
called a member function or method. A function outside of a class can be called a free function to distinguish it from a member function. void doSomething()
Function (computer programming)
Function_(computer_programming)
Machine learning framework
Neural operators are a class of deep learning architectures designed to learn maps between infinite-dimensional function spaces. Neural operators represent
Neural_operators
with first-class functions, where they fulfil the same role for the function type as literals do for other data types. Anonymous functions originate in
Examples of anonymous functions
Examples_of_anonymous_functions
Function that is holomorphic on the whole complex plane
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane
Entire_function
Point in a computer program where instruction-execution begins
Rust and Kotlin programs this is a function named main; in Java it is a static method named main (although the class must be specified at the invocation
Entry_point
Function that takes one or more functions as an input or that outputs a function
computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as arguments (i.e. a procedural
Higher-order_function
Programming construct
first-class function objects and may even make significant use of them. Functional programming languages additionally support closures, i.e. first-class functions
Function_object
Set of rules defining correctly structured C++ program
a function in a derived class overrides a function in a base class, the function to call is determined by the type of the object. A given function is
C++_syntax
Function reference passed to and called by another function
which a function reference is passed from one context (consumer) to another (provider) such that the provider can call the function. If the function accesses
Callback (computer programming)
Callback_(computer_programming)
Field of machine learning
reinforcement learning is for the agent to learn an optimal (or near-optimal) policy that maximizes the reward function or other user-provided reinforcement
Reinforcement_learning
Computer programming structure used to create objects
signature of each member function (method). A class defines an implementation of an interface, and instantiating the class results in an object that
Class_(programming)
Function used in signal processing
processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside
Window_function
Theory of probability
distribution function almost surely. The uniform convergence of more general empirical measures becomes an important property of the Glivenko–Cantelli classes of
Glivenko–Cantelli_theorem
Notion in supervised machine learning
power, richness, or flexibility) of a class of sets. The notion can be extended to classes of binary functions. It is defined as the cardinality of the
Vapnik–Chervonenkis_dimension
Model of algorithmic learning
concept class 𝒞 is Occam learnable with respect to a hypothesis class ℋ if there exists an efficient Occam algorithm for 𝒞 using ℋ. Occam learnability implies
Occam_learning
Visual novel video game series
work—arguing that they functioned as spectacle rather than satire. An animated short, Class of '09: Give Me a Fry (originally titled: Class of '09: The Anime
Class_of_'09_(franchise)
Fifth generation of Mercedes-Benz E-Class (2016–2023)
Mercedes-Benz E-Class is the fifth generation of the Mercedes-Benz E-Class, sold from 2016 as a 2017 model. It succeeded the W212/S212 E-Class models. The
Mercedes-Benz_E-Class_(W213)
Patterns used in computer programming
glob() (/ɡlɒb/) is a POSIX C function for globbing, which is the archetypal use of pattern matching against the names in a filesystem directory such that
Glob_(programming)
Loss function used in robust regression
In statistics, the Huber loss is a loss function used in robust regression, that is less sensitive to outliers in data than the squared error loss. A variant
Huber_loss
Windows service
components "Multimedia Class Scheduler Service". "AvSetMmMaxThreadCharacteristics Function (Windows)". "AvSetMmThreadCharacteristics Function (Windows)". drewbatgit
Multimedia Class Scheduler Service
Multimedia_Class_Scheduler_Service
Unchanging property for all objects of a class
the * function threw an exception. */ using Loki::CheckFor; namespace wikipedia::examples { export class GeoPoint { private: /// This function checks
Class_invariant
Mathematical function characterizing set membership
In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all
Indicator_function
Study of computable functions and Turing degrees
functions; M learns S if M learns every f in S. Basic results are that all computably enumerable classes of functions are learnable while the class REC
Computability_theory
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Declaration of a function's name and type signature but not body
executable or a library. The function declaration precedes the function definition, giving details of name, return type, and storage class along with other relevant
Function_prototype
Series of Sport Utility Vehicles (SUVs)
cluster with four chrome-trimmed round gauges from the C-Class and a new four-spoke multi-function steering wheel with options of full leather cover or combination
Mercedes-Benz_G-Class
Algorithm for finding zeros of functions
first in the class of Householder's methods, and was succeeded by Halley's method. The method can also be extended to complex functions and to systems
Newton's_method
2011 edition of the C++ programming language standard
by std::unique_ptr. Function object base classes (std::unary_function, std::binary_function), adapters to pointers to functions and adapters to pointers
C++11
Probability distribution
real-valued random variable. The general form of its probability density function is f(x)=12πσ2exp(−(x−μ)22σ2). The parameter μ is the mean or expectation
Normal_distribution
Words supplying mainly grammatical information, rather than content information
the structures of sentences. Words that are not function words are called content words (or open class words, lexical words, or autosemantic words) and
Function_word
Software design pattern
visitor allows adding new virtual functions to a family of classes, without modifying the classes. Instead, a visitor class is created that implements all
Visitor_pattern
Bombardier diesel tilting train
The British Rail Class 221 Super Voyager is a class of tilting diesel-electric multiple unit express passenger trains built in Bruges, Belgium and Wakefield
British_Rail_Class_221
Battery electric compact luxury sedan
The Mercedes-Benz C-Class Electric is a battery electric compact executive car manufactured by Mercedes-Benz. Despite the name, it is not related to the
Mercedes-Benz C-Class Electric
Mercedes-Benz_C-Class_Electric
Set of functions between two fixed sets
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is
Function_space
Type of USB specification
Many predefined functions exist in the USB HID class. These functions allow hardware manufacturers to design a product to USB HID class specifications
USB human interface device class
USB_human_interface_device_class
Technique in compiler construction
It provides means to encode added information in the name of a function, structure, class or another data type, to pass more semantic information from the
Name_mangling
Concept in the analysis of dynamical systems
usually under the name Foster–Lyapunov functions. For certain classes of ODEs, the existence of Lyapunov functions is a necessary and sufficient condition
Lyapunov_function
user-defined callback function that processes messages sent to a window. This function is specified when an application registers its window class and can be named
WindowProc
United States foreign service training course
and several groups have shared numbers over the years. In function, if not name, the A-100 Class dates back to June 7, 1924, when President Coolidge issued
A-100_class
C header for accessing the Windows API
access the Windows API (WinAPI) via C language. It declares the WinAPI functions, associated data types and common macros. Access to WinAPI can be enabled
Windows.h
target function f {\displaystyle f} . Definition of learnability A class of distributions C {\displaystyle \textstyle C} is called efficiently learnable if
Distribution_learning_theory
Programming technique of receiving dependencies
injection is a programming technique in which an object or function receives other objects or functions that it requires, as opposed to creating them internally
Dependency_injection
Mathematical-logic system
mechanism of function pointers. However, function pointers are an insufficient condition for functions to be first class datatypes, because a function is a first
Lambda_calculus
Complexity class used to classify decision problems
problems, then NP = RP and PH ⊆ BPP. NP is a class of decision problems; the analogous class of function problems is FNP. The only known strict inclusions
NP_(complexity)
Problem in computer science
often in discussions of computability since it demonstrates that some functions are mathematically definable but not computable. A key part of the formal
Halting_problem
Type of artificial neural network
a hidden layer with randomized weights that did not learn, and an output layer with learnable connections. R. D. Joseph (1960) mentions an even earlier
Feedforward_neural_network
Algorithm for supervised learning of binary classifiers
classifier is a function that can decide whether or not an input, represented by a vector of numbers, belongs to some specific class. It is a type of
Perceptron
Traditional first example of a computer programming language
main( ) function defines where the program should start executing. The function body consists of a single statement, a call to the printf() function, which
Hello,_world
Object whose state cannot be modified after it is created
8.1 and readonly classes since version 8.2. readonly class BlogData { public string $title; public Status $status; public function __construct(string
Immutable_object
Function that attains finitely many values
analysis, a simple function is a real (or complex)-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently
Simple_function
special comparison functions. Class K L {\displaystyle {\mathcal {KL}}} functions belong to this family: Definition: A continuous function β : [ 0 , a ) ×
Class_kappa-ell_function
Mathematical functions
In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied
Lemniscate_elliptic_functions
Function that outputs either true or false
A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B
Boolean-valued_function
Class of functions behaving "like" periodic functions
In mathematics, a quasiperiodic function is a function that has a certain similarity to a periodic function. A function f {\displaystyle f} is quasiperiodic
Quasiperiodic_function
Calling conventions used in x86 architecture programming
stack, placed in registers, or a mix of both) Which registers the called function must preserve for the caller (also known as: callee-saved registers or
X86_calling_conventions
Sixth generation of Mercedes-Benz S-Class
First-Class rear suite, folding tables in the rear, LED Intelligent Light System, Seat Comfort package including ENERGIZING massage function, and Warmth
Mercedes-Benz_S-Class_(W222)
Extension of the domain of an analytic function (mathematics)
definition of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where
Analytic_continuation
Style of computer programming
{$endif} interface type TGenericClass<T> = class function Foo(const AValue: T): T; end; implementation function TGenericClass<T>.Foo(const AValue: T): T;
Generic_programming
Computer programming function
the Functor type class. The type constructor of lists [] can be defined as an instance of the Functor type class using the map function from the previous
Map_(higher-order_function)
Use of functions that call themselves
same class of data as the input, the function is recursive. For that reason, we refer to these functions as (STRUCTURALLY) RECURSIVE FUNCTIONS. — Felleisen
Recursion_(computer_science)
Inputs for which a function's value is non-zero
supported functions of the appropriate class are dense in many different topologies, and so they are fundamental in analysis. Every continuous function on a
Support_(mathematics)
Templates in computer programming
and was later standardized in C++11. Prior to C++11, templates (classes and functions) could only take a fixed number of arguments, which had to be specified
Variadic_template
Generalization of Bessel function
a broader class of fractional-order differential equations than possible with standard Bessel functions. The name "Bessel–Maitland function" contains
Bessel–Maitland_function
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LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
LEARNABLE FUNCTION-CLASS
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