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DIRICHLET PROCESS

  • Dirichlet process
  • Family of stochastic processes

    probability theory, Dirichlet processes (after the distribution associated with Peter Gustav Lejeune Dirichlet) are a family of stochastic processes whose realizations

    Dirichlet process

    Dirichlet process

    Dirichlet_process

  • Hierarchical Dirichlet process
  • the hierarchical Dirichlet process (HDP) is a nonparametric Bayesian approach to clustering grouped data. It uses a Dirichlet process for each group of

    Hierarchical Dirichlet process

    Hierarchical_Dirichlet_process

  • Dirichlet distribution
  • Probability distribution

    infinite-dimensional generalization of the Dirichlet distribution is the Dirichlet process. The Dirichlet distribution of order K ≥ 2 {\displaystyle K\geq

    Dirichlet distribution

    Dirichlet distribution

    Dirichlet_distribution

  • Dependent Dirichlet process
  • dependent Dirichlet process (DDP) provides a non-parametric prior over evolving mixture models. A construction of the DDP built on a Poisson point process. The

    Dependent Dirichlet process

    Dependent_Dirichlet_process

  • Peter Gustav Lejeune Dirichlet
  • German mathematician (1805–1859)

    Johann Peter Gustav Lejeune Dirichlet (/ˌdɪərɪˈkleɪ/; German: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 May 1859) was a German mathematician. In number

    Peter Gustav Lejeune Dirichlet

    Peter Gustav Lejeune Dirichlet

    Peter_Gustav_Lejeune_Dirichlet

  • Pitman–Yor process
  • Stochastic process in probability theory

    becomes the Dirichlet process. The discount parameter gives the Pitman–Yor process more flexibility over tail behavior than the Dirichlet process, which has

    Pitman–Yor process

    Pitman–Yor_process

  • Chinese restaurant process
  • Discrete-time stochastic process

    Dirichlet Distribution -- Polya Restaurant Scheme and Chinese Restaurant Process". Xinhua Zhang, "A Very Gentle Note on the Construction of Dirichlet

    Chinese restaurant process

    Chinese_restaurant_process

  • Latent Dirichlet allocation
  • Generative topic model

    In natural language processing, latent Dirichlet allocation (LDA) is a generative statistical model that explains how a collection of text documents can

    Latent Dirichlet allocation

    Latent_Dirichlet_allocation

  • Imprecise Dirichlet process
  • Bayesian nonparametric model of probability distributions

    In probability theory and statistics, the Dirichlet process (DP) is one of the most popular Bayesian nonparametric models. It was introduced by Thomas

    Imprecise Dirichlet process

    Imprecise_Dirichlet_process

  • Hidden Markov model
  • Statistical Markov model

    previously described hidden Markov models with Dirichlet priors uses a Dirichlet process in place of a Dirichlet distribution. This type of model allows for

    Hidden Markov model

    Hidden_Markov_model

  • Concentration parameter
  • Numerical parameter in probability theory

    a probability distribution, such as the symmetric Dirichlet distribution and the Dirichlet process. The rest of this article focuses on the latter usage

    Concentration parameter

    Concentration_parameter

  • Diffusion process
  • Solution to a stochastic differential equation

    statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion processes are stochastic

    Diffusion process

    Diffusion_process

  • List of things named after Peter Gustav Lejeune Dirichlet
  • equations) Dirichlet process Dependent Dirichlet process Hierarchical Dirichlet process Imprecise Dirichlet process Dirichlet ring (number theory) Dirichlet series

    List of things named after Peter Gustav Lejeune Dirichlet

    List_of_things_named_after_Peter_Gustav_Lejeune_Dirichlet

  • Dirichlet-multinomial distribution
  • Distributions in probability theory

    In probability theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite

    Dirichlet-multinomial distribution

    Dirichlet-multinomial_distribution

  • Autoregressive model
  • Representation of a type of random process

    a modelled representation of a type of random process. It can be used to describe time-varying processes from many natural and artificial sources. The

    Autoregressive model

    Autoregressive_model

  • DP
  • Topics referred to by the same term

    individuals in the dataset Dirichlet process, a stochastic process corresponding to an infinite generalization of the Dirichlet distribution. Dynamic programming

    DP

    DP

  • Yee Whye Teh
  • Artificial-intelligence researcher

    original developers of deep belief networks and of hierarchical Dirichlet processes. He has been a research scientist at Google DeepMind. Teh was a keynote

    Yee Whye Teh

    Yee_Whye_Teh

  • Pigeonhole principle
  • If there are more items than boxes holding them, one box must contain at least two items

    commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 treatment of the principle by Peter Gustav Lejeune Dirichlet under the

    Pigeonhole principle

    Pigeonhole principle

    Pigeonhole_principle

  • Mixture model
  • Statistical concept

    (GMMs). mclust is an R package for mixture modeling. dpgmm Pure Python Dirichlet process Gaussian mixture model implementation (variational). Gaussian Mixture

    Mixture model

    Mixture_model

  • List of stochastic processes topics
  • Brownian motion Chinese restaurant process CIR process Continuous stochastic process Cox process Dirichlet processes Finite-dimensional distribution First

    List of stochastic processes topics

    List_of_stochastic_processes_topics

  • Dirichlet kernel
  • Concept in mathematical analysis

    properties of the Dirichlet kernel. The Dirichlet kernel was named for Peter Gustav Lejeune Dirichlet. In signal processing, the Dirichlet kernel is often

    Dirichlet kernel

    Dirichlet kernel

    Dirichlet_kernel

  • Radford M. Neal
  • Canadian computer scientist and statistician (born 1956)

    S2CID 1890561. Neal, Radford M. (2000). "Markov Chain Sampling Methods for Dirichlet Process Mixture Models". Journal of Computational and Graphical Statistics

    Radford M. Neal

    Radford_M._Neal

  • Dirichlet–Jordan test
  • Theorem

    In mathematics, the Dirichlet–Jordan test gives sufficient conditions for a complex-valued, periodic function f {\displaystyle f} to be equal to the sum

    Dirichlet–Jordan test

    Dirichlet–Jordan_test

  • HDP
  • Topics referred to by the same term

    Heme ligase, an enzyme Hierarchical decision process Hierarchical Dirichlet process, a stochastic process High-density plasma, a type of plasma (physics)

    HDP

    HDP

  • Ramachandran plot
  • Visual representation of allowable protein conformations

    probability distributions of amino acids developed from a hierarchical Dirichlet process model". PLOS Computational Biology. 6 (4) e1000763. Bibcode:2010PLSCB

    Ramachandran plot

    Ramachandran plot

    Ramachandran_plot

  • Pólya urn model
  • Random model in mathematics

    and converges to the beta distribution when n → ∞. Dirichlet process, Chinese restaurant process, Hoppe urn: Imagine a modified Pólya urn scheme as follows

    Pólya urn model

    Pólya_urn_model

  • Continuous-time stochastic process
  • statistics, a continuous-time stochastic process, or a continuous-space-time stochastic process is a stochastic process for which the index variable takes a

    Continuous-time stochastic process

    Continuous-time_stochastic_process

  • Dirichlet's theorem on arithmetic progressions
  • Theorem on the number of primes in arithmetic sequences

    In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's_theorem_on_arithmetic_progressions

  • Dirichlet boundary condition
  • Type of constraint on solutions to differential equations

    In mathematics, the Dirichlet boundary condition is imposed on an ordinary or partial differential equation, such that the values that the solution takes

    Dirichlet boundary condition

    Dirichlet_boundary_condition

  • Types of artificial neural networks
  • Classification of Artificial Neural Networks (ANNs)

    deep networks. The compound HDP-DBM architecture is a hierarchical Dirichlet process (HDP) as a hierarchical model, incorporating DBM architecture. It

    Types of artificial neural networks

    Types_of_artificial_neural_networks

  • Markov chain Monte Carlo
  • Calculation of complex statistical distributions

    nonparametric Bayesian models such as those involving the Dirichlet process or Chinese restaurant process, where the number of mixing components/clusters/etc

    Markov chain Monte Carlo

    Markov_chain_Monte_Carlo

  • Nonparametric statistics
  • Type of statistical analysis

    nonparametric hierarchical Bayesian models, such as models based on the Dirichlet process, which allow the number of latent variables to grow as necessary to

    Nonparametric statistics

    Nonparametric_statistics

  • Pachinko allocation
  • Statistical tool

    nonparametric Bayesian prior for PAM based on a variant of the hierarchical Dirichlet process (HDP). The algorithm has been implemented in the MALLET software package

    Pachinko allocation

    Pachinko_allocation

  • Voronoi diagram
  • Type of plane partition

    Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). Voronoi cells are also known as Thiessen polygons

    Voronoi diagram

    Voronoi diagram

    Voronoi_diagram

  • Thomas S. Ferguson
  • American mathematician and statistician

    stochastic games. Ferguson is especially known for introducing the Dirichlet process, a foundational contribution to Bayesian nonparametric statistics

    Thomas S. Ferguson

    Thomas S. Ferguson

    Thomas_S._Ferguson

  • Dirichlet form
  • Mathematical form

    functions) and functional analysis, Dirichlet forms generalize the Laplacian (the mathematical operator on scalar fields). Dirichlet forms can be defined on any

    Dirichlet form

    Dirichlet_form

  • Inverted Dirichlet distribution
  • the inverted Dirichlet distribution is a multivariate generalization of the beta prime distribution, and is related to the Dirichlet distribution. It

    Inverted Dirichlet distribution

    Inverted_Dirichlet_distribution

  • SABR volatility model
  • Stochastic volatility model used in derivatives markets

    {\displaystyle \max(F_{T}-K,\;0)} under the probability distribution of the process F t {\displaystyle F_{t}} . Except for the special cases of β = 0 {\displaystyle

    SABR volatility model

    SABR_volatility_model

  • Gaussian random field
  • Concept in statistics

    functions of the variables. A one-dimensional GRF is also called a Gaussian process. An important special case of a GRF is the Gaussian free field. With regard

    Gaussian random field

    Gaussian_random_field

  • Functional data analysis
  • Branch of statistics mathematics

    Tutz, G. (2013). "Clustering in linear mixed models with approximate Dirichlet process mixtures using EM algorithm" (PDF). Statistical Modelling. 13 (1):

    Functional data analysis

    Functional_data_analysis

  • Siddhartha Chib
  • Statistician and econometrician

    Basu and Chib (2003) further extend the method to nonparametric Dirichlet process mixture models. Chib has also worked on a model jump approach for

    Siddhartha Chib

    Siddhartha_Chib

  • Model-based clustering
  • Model-based clustering in statistics

    components, G {\displaystyle G} , is infinite, using a Dirichlet process prior, yielding a Dirichlet process mixture model for clustering. An advantage of model-based

    Model-based clustering

    Model-based_clustering

  • Topic model
  • Topical clustering method

    semantic analysis Latent semantic analysis Latent Dirichlet allocation Hierarchical Dirichlet process Non-negative matrix factorization Statistical classification

    Topic model

    Topic_model

  • Bernstein–von Mises theorem
  • Results about asymptotic posterior normality

    Mises theorem usually fails to hold with a notable exception of the Dirichlet process. A remarkable result was found by Freedman in 1965: the Bernstein–von

    Bernstein–von Mises theorem

    Bernstein–von_Mises_theorem

  • Categorical variable
  • Variable capable of taking on a limited number of possible values

    such cases, more advanced techniques must be used. An example is the Dirichlet process, which falls in the realm of nonparametric statistics. In such a case

    Categorical variable

    Categorical_variable

  • Time-series segmentation
  • Method of analysis

    More robust parameter-learning methods involve placing hierarchical Dirichlet process priors over the HMM transition matrix. Step detection Keogh, Eamonn

    Time-series segmentation

    Time-series_segmentation

  • Imprecise probability
  • Probability theory for low quality data

    the literature. Ambiguity aversion Robust decision making Imprecise Dirichlet process Kolmogorov, A. N. (1950). Foundations of the Theory of Probability

    Imprecise probability

    Imprecise_probability

  • Alan E. Gelfand
  • American statistician

    MacEachern, S. N. (2005). "Bayesian nonparametric spatial modeling with Dirichlet process mixing". Journal of the American Statistical Association. 100 (471):

    Alan E. Gelfand

    Alan_E._Gelfand

  • Internet water army
  • Political term

    armies are a big threat for cyber security. Some scholars adopted the Dirichlet process mixture model (DPMM)-based GSP algorithm to detect Internet water

    Internet water army

    Internet_water_army

  • List of statistics articles
  • process Diffusion-limited aggregation Dimension reduction Dilution assay Direct relationship Directional statistics Dirichlet distribution Dirichlet-multinomial

    List of statistics articles

    List_of_statistics_articles

  • List of RNA-Seq bioinformatics tools
  • assays using a Hierarchical Dirichlet Process Mixture Model. The estimated cluster configurations can be post-processed in order to identify differentially

    List of RNA-Seq bioinformatics tools

    List_of_RNA-Seq_bioinformatics_tools

  • Steve MacEachern
  • American Statistician

    modeling and computation, with a particular emphasis on dependent Dirichlet processes. He has published extensively in leading statistical journals, and

    Steve MacEachern

    Steve_MacEachern

  • David Dunson
  • American statistician

    Rodríguez, Abel; Dunson, David B.; Gelfand, Alan E. (2008). "The Nested Dirichlet Process". Journal of the American Statistical Association. 103 (483): 1131–1154

    David Dunson

    David_Dunson

  • Michael D. Escobar
  • sources describe Escobar's research as focusing on computation for Dirichlet process models in nonparametric Bayesian statistics, mixture models for heterogeneous

    Michael D. Escobar

    Michael_D._Escobar

  • Gibbs sampling
  • Monte Carlo algorithm

    as latent Dirichlet allocation and various other models used in natural language processing, it is quite common to collapse out the Dirichlet distributions

    Gibbs sampling

    Gibbs_sampling

  • Silvia Ferrari
  • American aerospace engineer

    learning nonlinear target dynamics via Bayesian nonparametric Dirichlet-process Gaussian-process (DP-GP) models". 2014 IEEE/RSJ International Conference on

    Silvia Ferrari

    Silvia Ferrari

    Silvia_Ferrari

  • Probability box
  • Concept in probability

    with the parameter s=1, which is a special case of the imprecise Dirichlet process, a central idea in robust Bayes analysis. Unlike confidence bands

    Probability box

    Probability box

    Probability_box

  • Stochastic processes and boundary value problems
  • partial differential equations the associated Dirichlet boundary value problem can be solved using an Itō process that solves an associated stochastic differential

    Stochastic processes and boundary value problems

    Stochastic_processes_and_boundary_value_problems

  • Mike West (statistician)
  • English and American statistician

    methodological and applied research that include implementations of Dirichlet process mixture models starting with a paper published in 1995. His research

    Mike West (statistician)

    Mike_West_(statistician)

  • Object categorization from image search
  • as a Dirichlet process (a type of non-parametric probability distribution). To allow the sharing of topics across classes, each of these Dirichlet processes

    Object categorization from image search

    Object_categorization_from_image_search

  • Rectified Gaussian distribution
  • Mixture of discrete and continuous distributions

    coupled with its Gibbs sampling solution, where the factors follow a Dirichlet process mixture of rectified Gaussian distribution, and applied it in computational

    Rectified Gaussian distribution

    Rectified_Gaussian_distribution

  • Neutral
  • Topics referred to by the same term

    variable that exhibits a particular type of statistical independence (Dirichlet distribution) Neutrality (philosophy), the absence of declared or intentional

    Neutral

    Neutral

  • Outline of natural language processing
  • Overview of and topical guide to natural language processing

    aid Language technology Latent Dirichlet allocation (LDA) Latent semantic indexing List of natural-language processing projects LRE Map Natural-language

    Outline of natural language processing

    Outline_of_natural_language_processing

  • Table sharing
  • Seating separate groups at the same restaurant table

    Clusters Among Related Groups: Hierarchical Dirichlet Processes", Advances in Neural Information Processing Systems, pp. 1385–1399, ISBN 9780262195348

    Table sharing

    Table_sharing

  • Rigid motion segmentation
  • with outliers by using random sample consensus (RANSAC) and enhanced Dirichlet process mixture models. Other approaches use global dimension minimization

    Rigid motion segmentation

    Rigid_motion_segmentation

  • Generalized Dirichlet distribution
  • Probability distribution

    In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure and

    Generalized Dirichlet distribution

    Generalized_Dirichlet_distribution

  • Catalog of articles in probability theory
  • Stochastic process / (SU:RG) Counting process / (U:D) Cox process / (U:D) Dirichlet process / (U:D) Lévy process / (U:DC) Non-homogeneous Poisson process / (U:D)

    Catalog of articles in probability theory

    Catalog_of_articles_in_probability_theory

  • Emily B. Fox
  • American data scientist and statistician

    research applies Bayesian modeling of time series, Hierarchical Dirichlet processes, and Monte Carlo methods to problems in health and neuroscience.

    Emily B. Fox

    Emily_B._Fox

  • Milton Sobel
  • American mathematician and statistician (1919–2002)

    selection and ranking, reliability analysis, combinatorial problems, and Dirichlet processes. Of particular note are his contributions in selection and ranking

    Milton Sobel

    Milton_Sobel

  • List of things named after Siméon Denis Poisson
  • Screened Poisson equation Optics Poisson's spot Elasticity Poisson's ratio Dirichlet–Poisson problem Poisson algebra Poisson superalgebra Poisson boundary

    List of things named after Siméon Denis Poisson

    List_of_things_named_after_Siméon_Denis_Poisson

  • Hunt process
  • mathematicians, most often in relation to Dirichlet forms. A Hunt process X {\displaystyle X} is a strong Markov process on a Polish space that is càdlàg and

    Hunt process

    Hunt_process

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    this continuation observes that the series for the zeta function and the Dirichlet eta function satisfy the relation ( 1 − 2 2 s ) ζ ( s ) = η ( s ) = ∑

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Geometry processing
  • Research topic in computational geometry

    coordinate functions. With this approach, the objective function becomes the Dirichlet energy on u and v: min u , v ∫ S | | ∇ u | | 2 + | | ∇ v | | 2 d A {\displaystyle

    Geometry processing

    Geometry_processing

  • Atlas of the Languages of Iran
  • Interactive language atlas of Iran's languages and dialects

    Cathcart (2020). "Dialectal Layers in West Iranian: A Hierarchical Dirichlet Process Approach to Linguistic Relationships". Transactions of the Philological

    Atlas of the Languages of Iran

    Atlas_of_the_Languages_of_Iran

  • Bayesian quadrature
  • Method in statistics

    well suited for discontinuous f {\displaystyle f} . Additionally, Dirichlet processes priors have also been proposed for the integration measure ν {\displaystyle

    Bayesian quadrature

    Bayesian quadrature

    Bayesian_quadrature

  • Stochastic differential equation
  • Differential equations involving stochastic processes

    one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process. SDEs have many applications throughout pure

    Stochastic differential equation

    Stochastic_differential_equation

  • Boundary value problem
  • Type of problem involving ODEs or PDEs

    studied is the Dirichlet problem, of finding the harmonic functions (solutions to Laplace's equation); the solution was given by the Dirichlet's principle

    Boundary value problem

    Boundary value problem

    Boundary_value_problem

  • Riemann zeta function
  • Analytic function in mathematics

    Many generalizations of the Riemann zeta function, such as Dirichlet series, Dirichlet L-functions and L-functions, are known. The Riemann zeta function

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Business intelligence
  • Strategies for analysis and use of data

    A literature analysis from 2002 to 2013 using text mining and latent Dirichlet allocation". Expert Systems with Applications. 42 (3): 1314–1324. doi:10

    Business intelligence

    Business_intelligence

  • Robin boundary condition
  • Type of boundary condition in mathematics

    derivative at the boundary of a given domain. It is a generalization of the Dirichlet boundary condition, which specifies only the function's value, and the

    Robin boundary condition

    Robin_boundary_condition

  • Bag-of-words model in computer vision
  • Image classification model

    "Describing Visual Scenes using Transformed Dirichlet Processes" (PDF). Proc. of Neural Information Processing Systems. Niebles, Juan Carlos; Li Fei-Fei

    Bag-of-words model in computer vision

    Bag-of-words_model_in_computer_vision

  • Generating function
  • Formal power series

    Bell series, and Dirichlet series. Every sequence in principle has a generating function of each type (except that Lambert and Dirichlet series require

    Generating function

    Generating_function

  • Log-polar coordinates
  • Coordinate system in two dimensions

    \theta }}\right)f(e^{\rho +i\theta })=0} When one wants to solve the Dirichlet problem in a domain with rotational symmetry, the usual thing to do is

    Log-polar coordinates

    Log-polar_coordinates

  • Categorical distribution
  • Discrete probability distribution

    to problems. For example, in a Dirichlet-multinomial distribution, which arises commonly in natural language processing models (although not usually with

    Categorical distribution

    Categorical_distribution

  • Galves–Löcherbach model
  • Mathematical model for neuron networks

    himself was influenced by Hédi Soula. Galves and Löcherbach referred to the process that Cessac described as "a version in a finite dimension" of their own

    Galves–Löcherbach model

    Galves–Löcherbach model

    Galves–Löcherbach_model

  • Well-posed problem
  • Property of differential equations describing physical phenomena

    Hadamard in 1902. Examples of archetypal well-posed problems include the Dirichlet problem for Laplace's equation, and the heat equation with specified initial

    Well-posed problem

    Well-posed_problem

  • Andrew Ng
  • American artificial intelligence researcher

    Jordan, Ng co-authored the influential paper that introduced latent Dirichlet allocation (LDA) for his thesis on reinforcement learning for drones.

    Andrew Ng

    Andrew Ng

    Andrew_Ng

  • Partial differential equation
  • Type of differential equation

    system Schrödinger equation Wave equation Types of boundary conditions Dirichlet boundary condition Neumann boundary condition Robin boundary condition

    Partial differential equation

    Partial differential equation

    Partial_differential_equation

  • Gensim
  • Vector space modeling and topic modeling toolkit

    analysis (LSA, LSI, SVD), non-negative matrix factorization (NMF), latent Dirichlet allocation (LDA), tf-idf and random projections. Some of the novel online

    Gensim

    Gensim

  • Walk-on-spheres method
  • Mathematical algorithm

    {\displaystyle x} be a point inside Ω {\displaystyle \Omega } . Consider the Dirichlet problem: { Δ u ( x ) = 0 if  x ∈ Ω u ( x ) = h ( x ) if  x ∈ Γ . {\displaystyle

    Walk-on-spheres method

    Walk-on-spheres_method

  • Dirichlet negative multinomial distribution
  • Probability multivariate distribution

    In probability theory and statistics, the Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It

    Dirichlet negative multinomial distribution

    Dirichlet_negative_multinomial_distribution

  • Mellin transform
  • Mathematical operation

    transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used in number theory, mathematical statistics, and

    Mellin transform

    Mellin_transform

  • Zhi-Ming Ma
  • Chinese mathematician (born 1948)

    Academy of Sciences. Ma's contribution in the theory of Dirichlet forms and Markov processes brought an end to a twenty years puzzle in the field. Ma

    Zhi-Ming Ma

    Zhi-Ming_Ma

  • Watershed (image processing)
  • Transformation defined on a grayscale image

    walker algorithm is a segmentation algorithm solving the combinatorial Dirichlet problem, adapted to image segmentation by L. Grady in 2006. In 2011, C

    Watershed (image processing)

    Watershed (image processing)

    Watershed_(image_processing)

  • Picard–Lindelöf theorem
  • Existence and uniqueness of solutions to initial value problems

    Cauchy–Kovalevskaya theorem General topics Initial values Boundary values Dirichlet Neumann Robin Cauchy Periodic Wronskian Abel's identity Sturm–Liouville

    Picard–Lindelöf theorem

    Picard–Lindelöf_theorem

  • Lynn Kuo
  • Professor of statistics

    Thomas S. Ferguson, was Computations and Applications of Mixtures of Dirichlet Processes. She has worked at the Jet Propulsion Lab, the United States Department

    Lynn Kuo

    Lynn_Kuo

  • Eta
  • Seventh letter in the Greek alphabet

    Radiative processes in astrophysics. A Wiley-Interscience publication. New York: Wiley. p. 123. ISBN 978-0-471-04815-2. Weisstein, Eric W. "Dirichlet Eta Function"

    Eta

    Eta

  • Series (mathematics)
  • Infinite sum

    Like the zeta function, Dirichlet series in general play an important role in analytic number theory. Generally a Dirichlet series converges if the real

    Series (mathematics)

    Series_(mathematics)

  • Bernoulli differential equation
  • Type of ordinary differential equation

    Cauchy–Kovalevskaya theorem General topics Initial values Boundary values Dirichlet Neumann Robin Cauchy Periodic Wronskian Abel's identity Sturm–Liouville

    Bernoulli differential equation

    Bernoulli_differential_equation

  • Möbius inversion formula
  • Relation between pairs of arithmetic functions

    language of Dirichlet convolutions, the first formula may be written as g = 1 ∗ f {\displaystyle g={\mathit {1}}*f} where ∗ denotes the Dirichlet convolution

    Möbius inversion formula

    Möbius_inversion_formula

AI & ChatGPT searchs for online references containing DIRICHLET PROCESS

DIRICHLET PROCESS

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DIRICHLET PROCESS

  • Cross
  • Surname or Lastname

    English

    Cross

    English : topographic name for someone who lived near a stone cross set up by the roadside or in a marketplace, from Old Norse kross (via Gaelic from Latin crux, genitive crucis), which in Middle English quickly and comprehensively displaced the Old English form crūc (see Crouch). In a few cases the surname may have been given originally to someone who lived by a crossroads, but this sense of the word seems to have been a comparatively late development. In other cases, the surname (and its European cognates) may have denoted someone who carried the cross in processions of the Christian Church, but in English at least the usual word for this sense was Crozier.Irish : reduced form of McCrossen.In North America this name has absorbed examples of cognate names from other languages, such as French Lacroix.

    Cross

  • Soper
  • Surname or Lastname

    English (chiefly Devon)

    Soper

    English (chiefly Devon) : occupational name for a soapmaker, from an agent derivative of Middle English sōpe ‘soap’ (apparently of Celtic origin). The process involved boiling oil or fat together with potash or soda.

    Soper

  • Sartain
  • Surname or Lastname

    English

    Sartain

    English : nickname from Old French certeyn ‘self-assured’, ‘determined’. (The phonetic change of -er- to -ar- was a normal process in Middle English).

    Sartain

  • Winder
  • Surname or Lastname

    English

    Winder

    English : occupational name for a winder of wool, from an agent derivative of Middle English winde(n) ‘to wind’ (Old English windan ‘to go’, ‘to proceed’). The verb was also used in the Middle Ages of various weaving and plaiting processes, so that in some cases the name may have referred to a basket or hurdle maker.English : habitational name from any of the various minor places in northern England so called, from Old English vindr ‘wind’ + erg ‘hut’, ‘shelter’, i.e. a shelter against the wind.English : John Winder is recorded in Somerset Co., MD, in 1665. William Henry Winder, born in the county in 1775, was blamed for the military defeat that led to the British burning of Washington, DC, in 1814; his son John Henry Winder (b. 1800) was a confederate general who was commander of southern military prisons.

    Winder

  • Flaxman
  • Surname or Lastname

    English and Jewish (Ashkenazic)

    Flaxman

    English and Jewish (Ashkenazic) : occupational name for a flax grower or dealer or for someone who processed it for weaving (see Flax).Probably a respelling of German Flachsmann, of the same meaning as 1, from Middle High German vlahs ‘flax’ + man ‘man’.

    Flaxman

  • Tanner
  • Surname or Lastname

    English and Dutch

    Tanner

    English and Dutch : occupational name for a tanner of skins, Middle English tanner, Middle Dutch taenre. (The Middle English form derives from Old English tannere, from Late Latin tannarius, reinforced by Old French taneor, from Late Latin tannator; both Late Latin forms derive from a verb tannare, possibly from a Celtic word for the oak, whose bark was used in the process.)Swiss and German : habitational name for someone from any of several places called Tanne (in the Harz Mountains and Silesia) or Tann (southern Germany).Finnish : topographic or ornamental name from Finnish tanner ‘open field’.

    Tanner

  • Tucker
  • Surname or Lastname

    English (chiefly southwestern England and South Wales)

    Tucker

    English (chiefly southwestern England and South Wales) : occupational name for a fuller, from an agent derivative of Middle English tuck(en) ‘to full cloth’ (Old English tūcian ‘to torment’). This was the term used for the process in the Middle Ages in southwestern England, and the surname is more common there than elsewhere. Compare Fuller and Walker.Americanized form of Jewish To(c)ker (see Tokarz).Irish : Anglicized form of Gaelic Ó Tuachair ‘descendant of Tuachar’, a personal name composed of the elements tuath ‘people’ + car ‘dear’, ‘beloved’.Possibly also an Americanized form of German Tucher, from an occupational name for a cloth maker or merchant, from an agent derivative of Middle High German tuoch ‘cloth’.

    Tucker

  • Berner
  • Surname or Lastname

    English

    Berner

    English : from the Norman personal name Bernier.English : from Old English beornan ‘to burn’, hence an occupational name for a burner of lime (compare German Kalkbrenner) or charcoal. It may also have denoted someone who baked bricks or distilled spirits, or who carried out any other manufacturing process involving burning.English : occupational name for a keeper of hounds, from Old Norman French bern(i)er, brenier (a derivative of bren, bran ‘bran’, on which the dogs were fed).Southern English : topographic or occupational name for someone who lived by or worked in a barn, from Middle English bern, barn ‘barn’ + the suffix -er. Compare Barnes.German : habitational name, in Silesia denoting someone from a place called Berna (of which there are two examples); in southern Germany and Switzerland denoting someone from the Swiss city of Berne.German : from the Germanic personal name Bernher meaning ‘lord of the army’.North German : occupational name for a lime or charcoal burner (cognate with 2), from an agent derivative of Middle High German brennen ‘to burn’.

    Berner

  • Harbour
  • Surname or Lastname

    English

    Harbour

    English : metonymic occupational name for a keeper of a lodging house, from late Old English herebeorg ‘shelter’, ‘lodging’ (from here ‘army’ + beorg ‘shelter’). (The change of -er- to -ar- is a regular phonetic process in Old French and Middle English.)Variant of French Arbour.A Harbour or Arbour, from Normandy, France, is documented in Quebec City in 1671.

    Harbour

  • Bowman
  • Surname or Lastname

    English and Scottish

    Bowman

    English and Scottish : occupational name for an archer, Middle English bow(e)man, bouman (from Old English boga ‘bow’ + mann ‘man’). This word was distinguished from Bowyer, which denoted a maker or seller of the articles. It is possible that in some cases the surname referred originally to someone who untangled wool with a bow. This process, which originated in Italy, became quite common in England in the 13th century. The vibrating string of a bow was worked into a pile of tangled wool, where its rapid vibrations separated the fibers, while still leaving them sufficiently entwined to produce a fine, soft yarn when spun.Americanized form of German Baumann (see Bauer) or the Dutch cognate Bouman.

    Bowman

  • Cardon
  • Surname or Lastname

    French

    Cardon

    French : from Old Norman French cardon ‘thistle’ (a diminutive of carde, from Latin carduus), hence a topographic name for someone who lived on land overgrown with thistles, an occupational name for someone who carded wool (originally a process carried out with thistles and teasels), or perhaps a nickname for a prickly and unapproachable person.French : possibly from a reduced form of the personal name Ricardon, a pet form of Richard.English : variant spelling of Carden, cognate with 1.

    Cardon

  • Treadwell
  • Surname or Lastname

    English (chiefly West Midlands)

    Treadwell

    English (chiefly West Midlands) : metonymic occupational name for a fuller, from Middle English tred(en) ‘to tread’ + well ‘well’. Fulling was the process by which newly woven cloth was cleaned and shrunk by the use of heat, water, and pressure (from treading) before finally being stretched and laid out to dry on tenter hooks.

    Treadwell

  • Wheeler
  • Surname or Lastname

    English

    Wheeler

    English : occupational name for a maker of wheels (for vehicles or for use in spinning or various other manufacturing processes), from an agent derivative of Middle English whele ‘wheel’. The name is particularly common on the Isle of Wight; on the mainland it is concentrated in the neighboring region of central southern England.A founder of Salisbury, NH, in 1634 was John Wheeler.

    Wheeler

  • Harp
  • Surname or Lastname

    English and Scottish

    Harp

    English and Scottish : metonymic occupational name for a harpist (see Harper), or occasionally a habitational name for someone living at a house distinguished by the sign of a harp.English : habitational name from a minor place such as Harp House in Eastwood, Essex, or South Harp in South Petherton, Somerset, denoting a place where salt was produced, from Old English hearpe ‘harp’, an implement used in the processing of salt. Compare Harpham.German : metonymic occupational name for a harpist, from Middle High German harpfe ‘harp’.German : variant of Harpe.

    Harp

  • Stringfield
  • Surname or Lastname

    English

    Stringfield

    English : of uncertain origin. It is argued by Redmonds that this surname may have developed as a variant of Stringfellow, through a process, attested in various parish records, in which the original name is first shortened and then expanded into a form different from the original; thus Stringfellow becomes Stringfell, which becomes reinterpreted as Stringfield.

    Stringfield

  • Crouch
  • Surname or Lastname

    English

    Crouch

    English : from Middle English crouch, Old English crūc ‘cross’ (a word that was replaced in Middle English by the word cross, from Old Norse kross), applied either as a topographic name for someone who lived by a cross or possibly as a nickname for someone who had carried a cross in a pageant or procession.Dutch : from Middle Dutch croech ‘jug’, ‘pitcher’, hence a metonymic occupational name for a potter.

    Crouch

  • Beadle
  • Surname or Lastname

    English

    Beadle

    English : occupational name for a medieval court official, from Middle English bedele (Old English bydel, reinforced by Old French bedel). The word is of Germanic origin, and akin to Old English bēodan ‘to command’ and Old High German bodo ‘messenger’. In the Middle Ages a beadle in England and France was a junior official of a court of justice, responsible for acting as an usher in a court, carrying the mace in processions in front of a justice, delivering official notices, making proclamations (as a sort of town crier), and so on. By Shakespeare’s day a beadle was a sort of village constable, appointed by the parish to keep order.

    Beadle

  • Crozier
  • Surname or Lastname

    English and French

    Crozier

    English and French : occupational name for one who carried a cross or a bishop’s crook in ecclesiastical processions, from Middle English, Old French croisier.

    Crozier

  • Kemp
  • Surname or Lastname

    English, Scottish, Dutch, and North German

    Kemp

    English, Scottish, Dutch, and North German : status name for a champion, Middle English and Middle Low German kempe. In the Middle Ages a champion was a professional fighter on behalf of others; for example the King’s Champion, at the coronation, had the duty of issuing a general challenge to battle to anyone who denied the king’s right to the throne. The Middle English word corresponds to Old English cempa and Old Norse kempa ‘warrior’; both these go back to Germanic campo ‘warrior’, which is the source of the Dutch and North German name, corresponding to High German Kampf.Dutch : metonymic occupational name for someone who grew or processed hemp, from Middle Dutch canep ‘hemp’.

    Kemp

  • Washer
  • Surname or Lastname

    English

    Washer

    English : from an agent derivative of Middle English wasch(en) ‘to wash’ (Old English wæscan), hence an occupational name for a laundryman, or for someone who washed raw wool before spinning. Various other occupations, too, involved washing processes and the name may relate to any of these. For example, it may have denoted a man who washed sheep; some tenants on the manor of Burpham, near Worthing, in Sussex (where the surname is found from an early date), had as part of their feudal service to wash the flocks of their master.Americanized spelling of the German cognate Wascher.

    Washer

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  • Processional
  • n.

    A service book relating to ecclesiastical processions.

  • Processioner
  • n.

    One who takes part in a procession.

  • Processionalist
  • n.

    One who goes or marches in a procession.

  • Processioner
  • n.

    A manual of processions; a processional.

  • Procession
  • n.

    That which is moving onward in an orderly, stately, or solemn manner; a train of persons advancing in order; a ceremonious train; a retinue; as, a procession of mourners; the Lord Mayor's procession.

  • Procession
  • v. i.

    To honor with a procession.

  • Processioner
  • n.

    An officer appointed to procession lands.

  • Waney
  • n.

    A sharp or uneven edge on a board that is cut from a log not perfectly squared, or that is made in the process of squaring. See Wany, a.

  • Processional
  • n.

    A hymn, or other selection, sung during a church procession; as, the processional was the 202d hymn.

  • Waning
  • n.

    The act or process of waning, or decreasing.

  • Procession
  • n.

    An old term for litanies which were said in procession and not kneeling.

  • Processional
  • a.

    Of or pertaining to a procession; consisting in a procession.

  • Vulgarization
  • n.

    The act or process of making vulgar, or common.

  • Walk
  • v. t.

    To subject, as cloth or yarn, to the fulling process; to full.

  • Processionary
  • a.

    Pertaining to a procession; consisting in processions; as, processionary service.

  • Procession
  • v. i.

    To march in procession.

  • Processioning
  • n.

    A proceeding prescribed by statute for ascertaining and fixing the boundaries of land. See 2d Procession.

  • Process
  • n.

    A series of actions, motions, or occurrences; progressive act or transaction; continuous operation; normal or actual course or procedure; regular proceeding; as, the process of vegetation or decomposition; a chemical process; processes of nature.