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Classical quantization technique from signal processing
Vector quantization (VQ) is a classical quantization technique from signal processing that allows the modeling of probability density functions by the
Vector_quantization
Pyramid vector quantization (PVQ) is a method used in audio and video codecs to quantize and transmit unit vectors, i.e. vectors whose magnitudes are known
Pyramid_vector_quantization
learning vector quantization (LVQ) is a prototype-based supervised classification algorithm. LVQ is the supervised counterpart of vector quantization systems
Learning_vector_quantization
Online vector quantization algorithm
TurboQuant is an online vector quantization algorithm for compressing high-dimensional Euclidean vectors while preserving their geometric structure. It
TurboQuant
Topics referred to by the same term
processing) Color quantization Vector quantization Quantization (music) Quantization (physics) Canonical quantization Geometric quantization Discrete spectrum
Quantization
Process of mapping a continuous set to a countable set
referred to as quantization error, noise or distortion. A device or algorithmic function that performs quantization is called a quantizer. An analog-to-digital
Quantization (signal processing)
Quantization_(signal_processing)
Vector quantization algorithm minimizing the sum of squared deviations
k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which
K-means_clustering
Software library for similarity search
following families of vector quantization methods are supported: Binary Quantization Scalar Quantization (SQ) Product Quantization (PQ), including Polysemous
FAISS
compression, twin vector quantization is related to vector quantization, but the speed of the quantization is doubled by the secondary vector analyzer. By
Twin_vector_quantization
Type of database that uses vectors to represent other data
A vector database, vector store or vector search engine is a database that stores and retrieves embeddings of data in vector space. Vector databases typically
Vector_database
quality. The latent vectors produced by the encoder are quantized using residual vector quantization (RVQ). In RVQ, the latent vector is approximated by
EnCodec
Overview of and topical guide to machine learning
neighbors algorithm Kernel methods for vector output Kernel principal component analysis Learning vector quantization Leabra Linde–Buzo–Gray algorithm Local
Outline_of_machine_learning
Broad concept generalizing scalars in mathematics and physics
properties Vector meson, a meson with total spin 1 and odd parity Vector quantization, a quantization technique used in signal processing Vector soliton
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Open-source distributed vector database
search. Support of vector quantization for lossy input data compression, including product quantization (PQ) and scalar quantization (SQ), that trades
Milvus_(vector_database)
Type of machine learning model
preserving most of its performance. Quantization can be further classified as static quantization if the quantization parameters are determined beforehand
Large_language_model
Converting classical mechanics to quantum mechanics
realization that is today understood as first quantization. To understand the term first quantization one must first understand what it means for something
First_quantization
Compact encoding of digital data
Sub-band coding Transform coding TurboQuant Vector quantization Wavelet compression Wavelet scalar quantization Warped linear predictive coding Data conversion
Data_compression
or photographic images Vector quantization: technique often used in lossy data compression TurboQuant: online vector quantization algorithm for lossy compression
List_of_algorithms
Voice conversion software
speaking styles or accents. Moreover, modern RVC models leverage vector quantization methods to discretize the acoustic space, improving both synthesis
Retrieval-based Voice Conversion
Retrieval-based_Voice_Conversion
Machine learning model for vision processing
of vectors, one for each patch. The vectors can only come from a discrete set of "codebook", as in vector quantization. Another encodes the quantized vectors
Vision_transformer
American information theorist and professor
best known for his contributions to quantization and compression, particularly the development of vector quantization. In 1980, Gray was elevated to the
Robert_M._Gray
Video codec by Microsoft
based on MotiVE, a vector quantization codec which Microsoft licensed from Media Vision. Microsoft Video 1 uses vector quantization to compress the video
Microsoft_Video_1
Intrinsic quantum property of particles
momentum. The relativistic spin–statistics theorem connects electron spin quantization to the Pauli exclusion principle: observations of exclusion imply half-integer
Spin_(physics)
Formulation to quantize gauge field theories in physics
relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier quantum field theory (QFT)
BRST_quantization
Physical theory with fields invariant under the action of local "gauge" Lie groups
variety of means. Methods for quantization are covered in the article on quantization. The main point to quantization is to be able to compute quantum
Gauge_theory
intelligence software TurboQuant – online vector quantization algorithm for compressing high-dimensional vectors in large language model inference AlphaDev
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Topics referred to by the same term
an automobile engine Holden VQ Statesman/Caprice, an automobile Vector quantization, in signal processing Ventilation Quotient or Ventilation/perfusion
VQ
Lossy speech audio codec developed by Google
latency. The encoder calculates a log mel spectrogram and performs vector quantization to store the spectrogram in a data stream. The decoder is a WaveNet
Lyra_(codec)
Algorithm used for points in euclidean space
method was originally used for scalar quantization, but it is clear that the method extends for vector quantization as well. As such, it is extensively
Lloyd's_algorithm
Lossy audio coding format
algorithm and the lower-latency MDCT-based CELT algorithm and pyramid vector quantization, switching between or combining them as needed. Bitrate, audio bandwidth
Opus_(audio_format)
1980) is an iterative vector quantization algorithm to improve a small set of vectors (codebook) to represent a larger set of vectors (training set), such
Linde–Buzo–Gray_algorithm
Classification of Artificial Neural Networks (ANNs)
from the output space, and SOM attempts to preserve these. Learning vector quantization (LVQ) can be interpreted as a neural network architecture. Prototypical
Types of artificial neural networks
Types_of_artificial_neural_networks
Representation in natural language processing
average of word vectors, known as continuous bag-of-words (CBOW). However, more elaborate solutions based on word vector quantization have also been proposed
Sentence_embedding
Central processing unit by Sony Computer Entertainment and Toshiba
decoding, allowing playback of DVDs and game FMV. It also allowed vector quantization for 2D graphics data. The memory management unit, RDRAM controller
Emotion_Engine
Technique for the generative modeling of a continuous probability distribution
Fang; Zhang, Bo; Chen, Dongdong; Yuan, Lu; Guo, Baining (2021). "Vector Quantized Diffusion Model for Text-to-Image Synthesis". arXiv:2111.14822 [cs
Diffusion_model
Predecessor to modern quantum mechanics (1900–1925)
orientations, so that the process of quantization does not pick out a preferred axis. For this reason, the name "space quantization" fell out of favor, and the
Old_quantum_theory
Artificial neural network
gas within the data space. It is applied where data compression or vector quantization is an issue, for example speech recognition, image processing or
Neural_gas
Quantum mechanical operator related to rotational symmetry
{\displaystyle \hbar } is reduced Planck constant: A common way to derive the quantization rules above is the method of ladder operators. The ladder operators for
Angular_momentum_operator
Machine learning paradigm
estimators Learning automata Learning classifier systems Learning vector quantization Minimum message length (decision trees, decision graphs, etc.) Multilinear
Supervised_learning
Approximate nearest neighbor search algorithm
Redis. Approximate nearest neighbor search Vector database Locality-sensitive hashing Product quantization Malkov, Yury A; Yashunin, Dmitry A (1 April
Hierarchical navigable small world
Hierarchical_navigable_small_world
Type of data compression
texture compression algorithms involve some form of fixed-rate lossy vector quantization of small fixed-size blocks of pixels into small fixed-size blocks
Texture_compression
Image processing technique
In computer graphics, color quantization or color image quantization is quantization applied to color spaces; it is a process that reduces the number of
Color_quantization
Estimate of an unobservable underlying probability density function
Parzen windows and a range of data clustering techniques, including vector quantization. The most basic form of density estimation is a rescaled histogram
Density_estimation
Hypothetical particle with one magnetic pole
charge quantization has appeared. (The concept of local gauge invariance—see Gauge theory—provides a natural explanation of charge quantization, without
Magnetic_monopole
Optimization problem in computer science
The optimal compression technique in multidimensional spaces is Vector Quantization (VQ), implemented through clustering. The database is clustered and
Nearest_neighbor_search
Audio compression standard
spectral envelope is then coded using variable-dimension weighted vector quantization. This process is also referred to as Harmonic VQ. To make a speech
Harmonic Vector Excitation Coding
Harmonic_Vector_Excitation_Coding
Formulation of the quantum many-body problem
Canonical quantization First quantization Geometric quantization Quantization (physics) Schrödinger functional Scalar field theory Second quantization on Wikiversity
Second_quantization
Set of learning techniques in machine learning
Feature detection (computer vision) Feature extraction Word embedding Vector quantization Variational autoencoder Goodfellow, Ian (2016). Deep learning. Yoshua
Feature_learning
indexed by a lower-bit-depth image (typically 4–8 bits), a form of vector quantization. Color bleeding Unwanted effect in texture mapping. A color from
Glossary_of_computer_graphics
Form of unsupervised learning in artificial neural networks
algorithms based on the principle of competitive learning include vector quantization and self-organizing maps (Kohonen maps). There are three basic elements
Competitive_learning
Audio compression technique
TwinVQ (transform-domain weighted interleave vector quantization) is an audio compression technique developed by Nippon Telegraph and Telephone Corporation
TwinVQ
Speech coding algorithm
search in closed-loop in a "perceptually weighted domain". Applying vector quantization (VQ) The original algorithm as simulated in 1983 by Schroeder and
Code-excited linear prediction
Code-excited_linear_prediction
decoder allowing playback of DVDs and game FMV. It also allowed vector quantization for 2D graphics data. Memory management unit (MMU), RDRAM controller
PlayStation 2 technical specifications
PlayStation_2_technical_specifications
Categorization of data using statistics
methodPages displaying short descriptions of redirect targets Learning vector quantization Linear classifier – Statistical classification in machine learning
Statistical_classification
Vector used in astronomy
In classical mechanics, the Laplace–Runge–Lenz vector (LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one
Laplace–Runge–Lenz_vector
Theoretical framework in physics
systems. The process of quantizing an arbitrary number of particles instead of a single particle is often also called second quantization. The foregoing procedure
Quantum_field_theory
Scientific study of sound perception
coding Parametric stereo Sample requantization Non-linear quantization Vector quantization Temporal noise shaping (TNS) Perceptual noise substitution
Psychoacoustics
Quantization giving rise to photons
is derived from a "first" quantized Hamiltonian, the quantization of the Schrödinger field is the second time quantization is performed, hence the name
Quantization of the electromagnetic field
Quantization_of_the_electromagnetic_field
Machine learning technique useful for dimensionality reduction
the map. Deep learning Hybrid Kohonen self-organizing map Learning vector quantization Liquid state machine Neocognitron Neural gas Sparse coding Sparse
Self-organizing_map
Technique to manage digital images' colors in a limited fashion
speeding up display refresh and file transfers. It is a form of vector quantization compression. When an image is encoded in this way, color information
Indexed_color
" The term reemerged in the late 1990s and early 2000s to describe vector quantized responses of a linear filter bank. Julesz, B (March 1981). "Textons
Texton
Conserved physical quantity; rotational analogue of linear momentum
subshells in chemistry is significantly affected by the quantization of angular momentum. Quantization of angular momentum was first postulated by Niels Bohr
Angular_momentum
Open-source Python library for scientific computing
Available sub-packages include: cluster: hierarchical clustering, vector quantization, K-means constants: physical constants and conversion factors datasets:
SciPy
Property of space that quantifies the magnetic influence at a given location
mathematically by assigning a vector to each point of space, making it a vector field. There are two different, but closely related, vector fields which are called
Magnetic_field
Process in quantum mechanical theories
context, it is also called the second quantization of fields, in contrast to the semi-classical first quantization of single particles. When it was first
Canonical_quantization
Recipe for constructing a quantum analog of a classical physical theory
quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization
Geometric_quantization
Computer art form using text characters
convert an image to text characters, which is a special case of vector quantization. A method is to sample the image down to grayscale with less than
ASCII_art
Method by which information is represented in the brain
decoding Neural oscillation Receptive field Sparse distributed memory Vector quantization Representational drift Brown EN, Kass RE, Mitra PP (May 2004). "Multiple
Neural_coding
Video codec
generally still playable in most media players. Cinepak is based on vector quantization, which is a significantly different algorithm from the discrete cosine
Cinepak
Audio codec
mantissas are deployed: use of vector quantization, which gives the highest coding gain, and use of gain-adapted quantization (GAQ) when greater signal-fidelity
Dolby_Digital_Plus
Royalty-free lossy audio encoding format
floor and residue components, and then quantized and entropy coded using a codebook-based vector quantization algorithm. The decompression algorithm reverses
Vorbis
Finnish computer scientist (1934–2021)
the field of artificial neural networks, including the Learning Vector Quantization algorithm, fundamental theories of distributed associative memory
Teuvo_Kohonen
Number of bits used to represent a color
number representing the index into a color map or palette (a form of vector quantization). The colors available in the palette itself may be fixed by the
Color_depth
Type of plane partition
or the most similar object in a database. A large application is vector quantization, commonly used in data compression. In geometry, Voronoi diagrams
Voronoi_diagram
Mathematical concept applicable to physics
in applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude
Flux
Quantity in electromagnetism
In classical electromagnetism, magnetic vector potential (often denoted A) is the vector quantity defined so that its curl is equal to the magnetic field
Magnetic_vector_potential
Theory of quantum gravity merging quantum mechanics and general relativity
} The quantization of the volume proceeds the same way as with the area. Each time the derivative is taken, it brings down the tangent vector γ ˙ a {\displaystyle
Loop_quantum_gravity
Digital video file format
can be interpreted as vector quantization, where a three-dimensional vector with the components red, green, and blue is quantized using an adaptive codebook
Smacker_video
Algorithmic production of digital images
methods, using Markov fields, non-parametric sampling, tree-structured vector quantization and image analogies are some of the simplest and most successful
Texture_synthesis
Lossy video codec developed by Apple Inc.; also known as QuickTime Video
Compression. Interpreted as vector quantization, a three-dimensional vector with the components red, green, and blue is quantized using a codebook with four
Apple_Video
Mathematical concept
central extension as corresponding to quantization or deformation. Formally, the symmetric algebra of a vector space V over a field F is the group algebra
Symplectic_vector_space
Density-based data clustering algorithm
analysis – Grouping a set of objects by similarity k-means clustering – Vector quantization algorithm minimizing the sum of squared deviations While minPts intuitively
DBSCAN
Conversion of raster graphics into vector graphics
graphics, image tracing, raster-to-vector conversion or raster vectorization is the conversion of raster graphics into vector graphics. An image does not have
Image_tracing
Lossy audio compression applied to human speech
processing Speech interface guideline Speech processing Speech synthesis Vector quantization Arjona Ramírez, M.; Minam, M. (2003). "Low bit rate speech coding"
Speech_coding
Video compression standard
video compression formats, in contrast to a single proposal based on vector quantization (VQ) compression. The H.261 standard was subsequently developed based
H.261
Overview of and topical guide to algorithms
Discrete cosine transform Modified discrete cosine transform Vector quantization Quantization Motion compensation Convex hull algorithms Graham scan Gift
Outline_of_algorithms
Multimedia framework
Midivid VQ (MVDV), MidiVid 3.0 (MV30), Midivid Archival (MVHA), and Vector Quantized Animation (VQA) Audio Electronic Arts ADPCM variants Netpbm Image PBM
FFmpeg
Metric for evaluating open-ended text generation
machine-generated text are mapped into a vector space using a pre-trained transformer model. Vector quantization: the continuous embeddings are clustered
MAUVE_(metric)
Digital electronic representation of moving visual images
video compression formats, in contrast to a single proposal based on vector quantization (VQ) compression. The H.261 standard was developed based on DCT compression
Digital_video
Algorithms for matrix decomposition
mainly for parts-based decomposition of images. It compares NMF to vector quantization and principal component analysis, and shows that although the three
Non-negative matrix factorization
Non-negative_matrix_factorization
Computer scientist
batch-mode vector quantization (simply called, vector quantization) and the successive-mode vector quantization (or, called learning vector quantization). A
Yasuo_Matsuyama
Series of U.S. military standards relating to telecommunications
Compression for the National Imagery Transmission Format Standard 199 - Vector Quantization Decompression for the National Imagery Transmission Format Standard
MIL-STD-188
Hardware device or software which changes the pitch or timbre of the user's voice
Shikano, K.; Kuwabara, H. (April 1988). "Voice conversion through vector quantization". ICASSP-88., International Conference on Acoustics, Speech, and
Voice_changer
List of concepts in artificial intelligence
theorem provers, and classifiers. k-means clustering A method of vector quantization, originally from signal processing, that aims to partition n observations
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Extensible multimedia architecture by Apple
the latter part of 1992. This added the SuperMac-developed Cinepak vector-quantization video codec (initially known as Compact Video). It could play video
QuickTime
Printing process
binary-to-gray-scale decoder and predictive pruned tree-structured vector quantization". IEEE Transactions on Image Processing. 3 (6): 854–858. Bibcode:1994ITIP
Halftone
Phenomenon in machine learning
Liu, Dianbo (2024-11-25), Representation Collapsing Problems in Vector Quantization, arXiv, doi:10.48550/arXiv.2411.16550, arXiv:2411.16550, retrieved
Representation_collapse
Approach to training in machine learning
OCC are, k-means clustering, learning vector quantization, self-organizing maps, etc. The basic Support Vector Machine (SVM) paradigm is trained using
One-class_classification
Indian–American computer engineer
Sethuraman (1989). Algorithms and architectures for image coding using vector quantization (Ph.D. thesis). University of Ottawa (Canada). hdl:10393/5805. OCLC 872322075
Sethuraman_Panchanathan
Vector in relativity
In special relativity, a four-vector (or 4-vector, sometimes Lorentz vector) is an element of a four-dimensional vector space object with four components
Four-vector
VECTOR QUANTIZATION
VECTOR QUANTIZATION
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Surname or Lastname
Scottish
Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, HektÅr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.
Male
Arthurian
, sir Hector de Maris; (defender).
Boy/Male
Latin American Spanish
Conqueror.
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Italian, Latin, Portuguese, Shakespearean, Spanish
Steadfast; Anchor; Holds Fast; Star; Coined from Esther Vanhomrigh; Tenacious; Defend; Hold Fast; Coined from Esther Vanho
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Boy/Male
Christian & English(British/American/Australian)
Conqueror
Boy/Male
Spanish
Victor.
Boy/Male
American, British, Christian, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Irish, Jamaican, Latin, Romanian, Slovenia, Spanish, Swedish, Swiss, Tamil, Ukrainian
Victorious; Conqueror; Winner; Champion; One who Conquers; Victory
Boy/Male
English American
Doctor; teacher.
Boy/Male
Arthurian Legend
Father of Arthur.
Boy/Male
Spanish American Shakespearean Greek Latin
Tenacious.
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Male
Russian
(Cyrillic Виктор): Slavic form of Roman Latin Victor, VIKTOR means "conqueror." In use by the Bulgarians, Russians and Serbians. Compare with another form of Viktor.
Boy/Male
Christian & English(British/American/Australian)
Steadfast
Male
English
Roman Latin name VICTOR means "conqueror."Â
Male
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
VECTOR QUANTIZATION
VECTOR QUANTIZATION
Girl/Female
Muslim
Female minister
Male
English
Variant spelling of English Hughie, HEWIE means "heart," "mind," or "spirit."Â
Girl/Female
German, Latin, Swedish
Beyond Price; Invaluable; House of the Owner
Girl/Female
Arabic
Princess
Surname or Lastname
English
English : see Roseman. It is of Huguenot origin in at least some cases.
Boy/Male
Muslim
Blessed
Male
Hebrew
(עַמִּי×ֵל) Hebrew name AMMIY'EL means "one of the family of God." In the bible, this is the name of several characters, including a spy from the tribe of Dan who died in the plague.Â
Male
Native American
Native American Cheyenne name KOHKAHYCUMEST means "white crow or white antelope."
Girl/Female
Arabic, Gujarati, Hindu, Indian, Kannada, Muslim
Everlasting Happiness; Illumination
Boy/Male
English American Teutonic
House wolf, protector. Mythological wolf was esteemed for courage.
VECTOR QUANTIZATION
VECTOR QUANTIZATION
VECTOR QUANTIZATION
VECTOR QUANTIZATION
VECTOR QUANTIZATION
n.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
n.
A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.
a.
Of or pertaining to victory, or a victor' being a victor; bringing or causing a victory; conquering; winning; triumphant; as, a victorious general; victorious troops; a victorious day.
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.
n.
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.
a.
Pertaining to a rector or a rectory; rectoral.
n.
The chief elective officer of some universities, as in France and Scotland; sometimes, the head of a college; as, the Rector of Exeter College, or of Lincoln College, at Oxford.
n.
A woman who wins a victory; a female victor.
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
n.
An astronomical instrument, the limb of which embraces a small portion only of a circle, used for measuring differences of declination too great for the compass of a micrometer. When it is used for measuring zenith distances of stars, it is called a zenith sector.
n.
Same as Radius vector.
n.
A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar.
n.
The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
n.
An African weaver bird (Textor alector).
n.
The turning factor of a quaternion.
n.
Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.
n.
A pregnant woman; a mother; as, A has a son B by one venter, and a daughter C by another venter; children by different venters.
n.
A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.
v. t.
To confer a doctorate upon; to make a doctor.
v. t.
To treat as a physician does; to apply remedies to; to repair; as, to doctor a sick man or a broken cart.