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In structure mining, a graph kernel is a kernel function that computes an inner product on graphs. Graph kernels can be intuitively understood as functions
Graph_kernel
Class of algorithms for pattern analysis
recognition. Fisher kernel Graph kernels Kernel smoother Polynomial kernel Radial basis function kernel (RBF) String kernels Neural tangent kernel Neural network
Kernel_method
Heuristic test for graph isomorphism
be applied. Data represented as graphs often behave nonlinearly. Graph kernels are a method to preprocess such graph based nonlinear data to simplify
Weisfeiler Leman graph isomorphism test
Weisfeiler_Leman_graph_isomorphism_test
Data mining for patterns in molecule data
labeled graphs extensions of the marginalized kernel Tanimoto kernels graph kernels based on tree patterns kernels based on pharmacophores for 3D structure
Molecule_mining
Matrix representation of a graph
(2003), "Kernels and regularization on graphs", Learning Theory and Kernel Machines: 16th Annual Conference on Learning Theory and 7th Kernel Workshop
Laplacian_matrix
Chemical term
distance measures are molecule kernels (graph kernel applied to the description of a molecule as an atom-connectivity graph), that measure the structural
Chemical_similarity
Free Unix-like operating system kernel
The Linux kernel is a free and open-source Unix-like kernel that is used in many computer systems worldwide. The kernel was created by Linus Torvalds
Linux_kernel
Concept in statistics
In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method
Kernel_density_estimation
Machine learning framework
Kaushik; Stuart, Andrew; Anima, Anandkumar (2020). "Neural operator: Graph kernel network for partial differential equations". arXiv:2003.03485 [cs.LG]
Neural_operators
Overview of and topical guide to machine learning
trees) Gramian matrix Grammatical evolution Granular computing GraphLab Graph kernel Gremlin (programming language) Growth function HUMANT (HUManoid
Outline_of_machine_learning
Subdivision of vertices into disjoint sets
In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges
Graph_partition
In algebraic topology and graph theory, graph homology describes the homology groups of a graph, where the graph is considered as a topological space.
Graph_homology
among others: [NP [D] [N]] (counted twice), [VP [V [eats]] [NP]]... Graph kernel Parse tree McDonald, Ryan; Pereira, Fernando; Ribarov, Kiril; Hajič,
Tree_kernel
Algorithmic technique
kernelization algorithm is the kernelization of the vertex cover problem by S. Buss. In this problem, the input is an undirected graph G {\displaystyle G} together
Kernelization
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
A family of simple undirected graphs defined by spectral properties
In graph theory, a nut graph is a finite simple graph on at least two vertices whose adjacency matrix has nullity one and whose kernel is spanned by a
Nut_graph_(graph_theory)
Obsolete Microsoft Windows audio APIs
latency communication and still be used within a DirectShow filter graph. Kernel streaming was introduced in Windows 98. When the sound card uses a custom
Windows legacy audio components
Windows_legacy_audio_components
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
Clustering methods
propagation Kernel principal component analysis Cluster analysis Spectral graph theory Demmel, J. "CS267: Notes for Lecture 23, April 9, 1999, Graph Partitioning
Spectral_clustering
Problem of finding similarity between graphs
Graph matching is the problem of finding a similarity between graphs. Graphs are commonly used to encode structural information in many fields, including
Graph_matching
Free and open-source Unix-like operating system
sets). The kernel and userland for these platforms are all built from a central unified source-code tree managed by CVS. Unlike other kernels such as μClinux
NetBSD
Kernel methods are a well-established tool to analyze the relationship between input data and the corresponding output of a function. Kernels encapsulate
Kernel methods for vector output
Kernel_methods_for_vector_output
Graph defined from a mathematical group
universal cover of the Cayley graph; and the kernel of the mapping is the fundamental group of the Cayley graph. A Cayley graph of the discrete Heisenberg
Cayley_graph
Statistical technique
A kernel smoother is a statistical technique to estimate a real valued function f : R p → R {\displaystyle f:\mathbb {R} ^{p}\to \mathbb {R} } as the weighted
Kernel_smoother
Computer operating system kernel
XNU ("X is Not Unix") is the computer operating system (OS) kernel developed at Apple Inc. since December 1996 for use in the Mac OS X (now macOS) operating
XNU
Graph based kernel networking subsystem of FreeBSD and DragonFly BSD
netgraph is the graph based kernel networking subsystem of FreeBSD since 3.4 and DragonFly BSD since the fork from FreeBSD. Netgraph provides support for
Netgraph
Graph with tight clique-coloring relation
In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every
Perfect_graph
Operating system by Google
operating systems such as ChromeOS and Android, Fuchsia is based on a custom kernel named Zircon. It publicly debuted as a Google-hosted git repository in August
Fuchsia_(operating_system)
Type of supervised learning in machine learning
Classification is done via an SVM with a graph kernel (MIGraph and miGraph only differ in their choice of kernel). Similar approaches are taken by MILES
Multiple_instance_learning
On short connecting nets with added points
tree and if all edge weights are 1. While the graph Steiner tree problem does not admit a polynomial kernel unless coNP ⊆ NP/poly {\displaystyle {\textsf
Steiner_tree_problem
which led to the development of nonlinear extensions, such as kernel CCA and deep CCA. Kernel canonical correlation analysis (KCCA) extends traditional CCA
Multimodal representation learning
Multimodal_representation_learning
Operating system kernel designed as a replacement for Unix
the kernel works. The logo is called the Hurd boxes and it also reflects on architecture. The logo is a graph where nodes represent the Hurd kernel's servers
GNU_Hurd
German computer scientist (born 1980)
(SIB). Weisfeiler-Lehman Graph Kernels (’‘Journal of Machine Learning Research’’, 2011): Introduced an efficient graph kernel based on the Weisfeiler-Lehman
Karsten_Borgwardt
American academic
i359-i368. Ralaivola, L., Swamidass, S. J., Saigo, H., & Baldi, P. (2005). Graph kernels for chemical informatics. Neural networks, 18(8), 1093–1110. Li, J.
S._Joshua_Swamidass
Text-structure representation using graph models
representations Topological and pretopological analysis of graphs Graph kernels, etc. Graph-based methods for applications on social networks Rumor proliferation
Text_graph
Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Dutch mathematician and computer programmer (born 1951)
discrete mathematics, particularly graph theory, finite geometry and coding theory. He has published dozens of papers in graph theory and other areas of combinatorics
Andries_Brouwer
Rating of supercomputer systems
undirected graph (a model of Kronecker graph with average degree of 16). There are three computation kernels in the benchmark: the first kernel is to generate
Graph500
Finding and extracting information from semi-structured data sets
the structure of a document or message facilitates structure mining. Graph kernel Structured content Inductive programming Andrew N Edmonds, On data mining
Structure_mining
Parallel version of breadth-first search algorithm
used by Dinic's algorithm to find maximum flow in a graph. Moreover, BFS is also one of the kernel algorithms in Graph500 benchmark, which is a benchmark
Parallel_breadth-first_search
Type of program in computer graphics
efficient GPU kernels. Cognition has created Kevin 32-B to create efficient CUDA kernels which is currently the highest performing model on KernelBench. Computer
Shader
Topics referred to by the same term
diagonal of a matrix Kernel density estimation, the width of the convolution kernel used in statistics Graph bandwidth, in graph theory Coherence bandwidth
Bandwidth
Process of reducing the number of random variables under consideration
a graph-based kernel for Kernel PCA. More recently, techniques have been proposed that, instead of defining a fixed kernel, try to learn the kernel using
Dimensionality_reduction
Problem in graph theory
bipartite subgraph", Recent Advances in Graph Theory, pp. 167–181. Etscheid, M.; Mnich, M. (2018), "Linear Kernels and Linear-Time Algorithms for Finding
Maximum_cut
Predictive chemical model
there exist also approaches using maximum common subgraph searches or graph kernels. Typically QSAR models derived from non linear machine learning is seen
Quantitative structure–activity relationship
Quantitative_structure–activity_relationship
Graphing calculator software bundled with macOS
Grapher is a computer program bundled with macOS since version 10.4 that is able to create 2D and 3D graphs from simple and complex equations. It includes
Grapher
Subgraph
Otherwise, the remaining graph is a kernel with at most 2 k {\displaystyle 2k} vertices. Dehne et al. improved this to a kernel of size at most 5 3 k +
Nonblocker
Mathematics concept
Hence, the fundamental group of the Cayley graph Γ ( G ) {\displaystyle \Gamma (G)} is isomorphic to the kernel of φ {\displaystyle \varphi } , the normal
Free_group
Nonlinear dimensionality reduction method
However, the kernel matrix K is not always positive semidefinite. The main idea for kernel Isomap is to make this K as a Mercer kernel matrix (that is
Isomap
Operating system that behaves similarly to Unix
POSIX for Linux syscalls within the Linux kernel and LiteOS default kernels side of the system multi-kernel Kernel Abstract Layer subsystem for vendor and
Unix-like
Projection of data onto lower-dimensional manifolds
nodes of a graph and the kernel k as defining some sort of affinity on that graph. The graph is symmetric by construction since the kernel is symmetric
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
Set of methods for supervised statistical learning
using the kernel trick, representing the data only through a set of pairwise similarity comparisons between the original data points using a kernel function
Support_vector_machine
Page replacement algorithm
Linux Kernel Architecture by Wolfgan Mauerer. A paper detailing performance differences of LIRS and other algorithms “The Performance Impact of Kernel Prefetching
LIRS_caching_algorithm
Open-source web programming environment
with no tools except a browser. The Lively Kernel uses a Morphic graphics model to add behavior to a scene graph built from browser graphics. Simple graphics
Lively_Kernel
Mathematical function
non-zero c. It is named after the mathematician Carl Friedrich Gauss. The graph of a Gaussian is a characteristic symmetric "bell curve" shape. The parameter
Gaussian_function
Geometric algorithm
also a version of graph Laplacian matrix) L i , j = k ( x i , x j ) {\displaystyle L_{i,j}=k(x_{i},x_{j})\,} We then define the new kernel L i , j ( α ) =
Diffusion_map
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Statistical formula
E ⊆ V × V {\displaystyle E\subseteq V\times V} . From this graph, one can define the graph Stein set as F P = { f : X → R d | max ( ‖ f ( v ) ‖ ∞ , ‖
Stein_discrepancy
The Landau kernel is named after the German number theorist Edmund Landau. The kernel is a summability kernel defined as: L n ( t ) = { ( 1 − t 2 ) n c
Landau_kernel
Topics referred to by the same term
dimension of the kernel of a mathematical operator or null space of a matrix Nullity (graph theory), the nullity of the adjacency matrix of a graph Nullity, the
Nullity
Computer operating system
relating to macOS and iOS. The kernel of Darwin is XNU, a hybrid kernel which uses Open Software Foundation Mach Kernel (OSFMK) 7.3 from the OSF, various
Darwin_(operating_system)
Technique for shaping training datasets
Semi-supervised learning Transduction (machine learning) Spectral graph theory Reproducing kernel Hilbert space Tikhonov regularization Differential geometry
Manifold_regularization
Subset of a graph's nodes such that all other nodes link to at least one
In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination
Dominating_set
Measure of similarity between two graphs
computer science, graph edit distance (GED) is a measure of similarity (or dissimilarity) between two graphs. The concept of graph edit distance was first
Graph_edit_distance
Analog of the continuous Laplace operator
in the kernel in the i-th direction, and s is the number of directions i for which xi = 0. Note that the nD version, which is based on the graph generalization
Discrete_Laplace_operator
Mathematical form
{R} ^{n}\to \mathbb {R} } is some non-negative symmetric integral kernel. If the kernel k {\displaystyle k} satisfies the bound k ( x , y ) ≤ Λ | x − y
Dirichlet_form
Mathematical group that can be generated as the set of powers of a single element
graph is a cycle graph, and for an infinite cyclic group with its generator the Cayley graph is a doubly infinite path graph. However, Cayley graphs can
Cyclic_group
Research field in deep learning
computations, including point clouds, meshes, time series, scalar fields graphs, or general topological spaces like simplicial complexes and CW complexes
Topological_deep_learning
Class of nonparametric methods
classes/categories, strings, graphs/networks, images, time series, manifolds, dynamical systems, and other structured objects. The theory behind kernel embeddings of
Kernel embedding of distributions
Kernel_embedding_of_distributions
Concept in machine learning
classification (the recognition of letters and digits in images) by using 4D kernel tensors. Let F {\displaystyle \mathbb {F} } be a field (such as the real
Tensor_(machine_learning)
Graphical representation of the distribution of numerical data
_{i=1}^{k}{m_{i}}.} A histogram can be thought of as a simplistic kernel density estimation, which uses a kernel to smooth frequencies over the bins. This yields a smoother
Histogram
ESWC conference series
ISBN 978-3-642-38287-1. Lösch, Uta; Bloehdorn, Stephan; Rettinger, Achim (2012). "Graph Kernels for RDF Data". The Semantic Web: Research and Applications. Lecture
Extended Semantic Web Conference
Extended_Semantic_Web_Conference
One of two types of graph
1007/s00029-019-0509-4. MR 4021848. S2CID 85517485. Maffray, Frédéric (1992). "Kernels in perfect line-graphs". Journal of Combinatorial Theory. Series B. 55 (1): 1–8. doi:10
Book_(graph_theory)
Distributed version control software system
created by Linus Torvalds for version control in the development of the Linux kernel. The trademark "Git" is registered by the Software Freedom Conservancy.
Git
Data structure in a Unix file system
parent, and each of its children. There has been uncertainty on the Linux kernel mailing list about the reason for the "i" in "inode". In 2002, the question
Inode
Borel graph theorem is generalization of the closed graph theorem that was proven by L. Schwartz. The Borel graph theorem shows that the closed graph theorem
Borel_graph_theorem
range of graph problems (bidimensional) that admit efficient approximate, fixed-parameter or kernel solutions in a broad range of graphs. These graph classes
Bidimensionality
English academic (born 1953)
learning theory. He has contributed to a number of fields ranging from graph theory through cryptography to statistical learning theory and its applications
John_Shawe-Taylor
When every path in a control-flow graph must go through one node to reach another
In computer science, a node d of a control-flow graph dominates a node n if every path from the entry node to n must go through d. Notationally, this
Dominator_(graph_theory)
Fewest cliques covering a graph's edges
In the mathematical field of graph theory, the intersection number of a graph G = ( V , E ) {\displaystyle G=(V,E)} is the smallest number of elements
Intersection number (graph theory)
Intersection_number_(graph_theory)
Topics referred to by the same term
System Modules (C++) Module SQL Loadable kernel module, an object file that contains code to extend the running kernel Environment Modules, a software tool
Module
compute kernels. It enables applications to be constructed from chains of compute kernels forming a task and pipeline parallel compute graph. Programs
RaftLib
Theorem relating continuity to graphs
mathematics, the closed graph theorem may refer to one of several basic results characterizing continuous functions in terms of their graphs. Each gives conditions
Closed_graph_theorem
used for partial shape matching. The heat kernel signature makes use of the eigen-decomposition of the heat kernel: h t ( x , y ) = ∑ i = 0 ∞ exp ( − λ
Spectral_shape_analysis
Statement in mathematical combinatorics
its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently large complete graph. As
Ramsey's_theorem
History of Apple's current Mac operating system
eventually became the basis for Mac OS X. NeXTSTEP was based on the Mach kernel developed at CMU (Carnegie Mellon University) and BSD, an implementation
MacOS_version_history
Type of bar chart using dots
the dot chart. The first has been used in hand-drawn (pre-computer era) graphs to depict distributions going back to 1884. The other version is described
Dot_plot_(statistics)
Tent function, often used in signal processing
triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle. Often this is an isosceles triangle of height
Triangular_function
Size of biclique cover of a graph
the size of the resulting kernel, which has meanwhile been improved by Nor et al. (2010). In fact, for a given bipartite graph on n vertices, it can be
Bipartite_dimension
formula Feshbach–Fano partitioning Foliation Frequency partition Graph partition Kernel of a function Lamination (topology) Matroid partitioning Multipartition
List_of_partition_topics
Graphical technique for data sets
plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be
Plot_(graphics)
Measuring the time or resources used by a section of a computer program
execution time it used. In 1982 gprof extended the concept to a complete call graph analysis. In 1994, Amitabh Srivastava and Alan Eustace of Digital Equipment
Profiling (computer programming)
Profiling_(computer_programming)
Tracing utility for Linux kernel
kernel function calls is available, optionally restrictable to a subset of functions by using globs, and with the possibility to generate call graphs
Ftrace
Graph formed by complementation and disjoint union
In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation
Cograph
Performance analyzing tool in Linux
Linux, PCL) is a performance analyzing tool in Linux, available from Linux kernel version 2.6.31 in 2009. Userspace controlling utility, named perf, is accessed
Perf_(Linux)
Concept in statistical mechanics
cover time of graphs (the expected number of steps it takes for the random walk to visit all the vertices). Let P(x, y) be the transition kernel of the Markov
Gaussian_free_field
Computational software program
command butlast. Mathematica is split into two parts: the kernel and the front end. The kernel interprets expressions (Wolfram Language code) and returns
Wolfram_Mathematica
Planar maps require at most four colors
terms of graph theory, by considering it in terms of constructing a graph coloring of the planar graph of adjacencies between regions. In graph-theoretic
Four_color_theorem
A Euclidean graph (a graph embedded in some Euclidean space) is periodic if there exists a basis of that Euclidean space whose corresponding translations
Periodic_graph_(geometry)
Australian computer scientist
authoring eBPF tracing tools included in multiple operating systems. As a kernel engineer at Sun Microsystems, he developed the ZFS L2ARC, a caching layer
Brendan_Gregg
GRAPH KERNEL
GRAPH KERNEL
Boy/Male
Muslim
Grape
Boy/Male
Biblical
A grape, a knot.
Boy/Male
African, Arabic
Grape Vines
Boy/Male
Afghan, Hebrew, Indian, Parsi, Sanskrit
Grape Presser; World; Song
Boy/Male
Arabic, Modern
Grape
Biblical
a grape; a knot
Female
Thai/Siamese
Thai name A-GUN means "grape."
Boy/Male
Hindu, Indian
Efficient; Conqueror of Miseries; Bond in Affection; Capable; Mysterious; Different than Others; Smart; Most Mysterious Vastu Grah 'Rahu'; Son of Lord Buddha; Son of Goddess Durga; Truth Follower; Best of All
Boy/Male
Biblical
A grape, a knot.
Girl/Female
Indian
Grape vine
Girl/Female
Indian
Grape like
Girl/Female
Arabic, Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Grape
Girl/Female
Muslim
Grape vine
Girl/Female
Tamil
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Grape, Belonging to kashmir
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Boy/Male
Hindu, Indian, Punjabi, Sikh
From Kashmir; Grape
Girl/Female
Hindu
Grape, Belonging to kashmir
Girl/Female
Muslim
Grape like
Boy/Male
Indian
Grape
Boy/Male
Hebrew, Hindu, Indian, Marathi
Grape Cluster
Girl/Female
Afghan, Arabic, Hebrew, Indian, Muslim, Parsi, Sanskrit
Grape Presser; World; Song; Universe
GRAPH KERNEL
GRAPH KERNEL
Boy/Male
British, English
Counsel Power
Boy/Male
Indian, Sanskrit, Thai
The Sacred Grass
Girl/Female
French, German, Latin
Lioness
Boy/Male
Shakespearean
King Henry the Sixth, Part III' and 'King John' Earl of Pembroke.
Boy/Male
British, English, Hindu, Indian
Pure and White
Female
African
who is greater than the great God?
Boy/Male
Tamil
Shashvath | ஷாஷà¯à®µà®¤
Eternal, Constant, Perpetually
Boy/Male
Tamil
Female
Persian/Iranian
(خرداد) Modern Iranian form of Persian Haurvatat, KHORDAD means "health, perfection."Â
Girl/Female
Tamil
Natabhairavi | நாதாபைரவீ
Name of a Raga
GRAPH KERNEL
GRAPH KERNEL
GRAPH KERNEL
GRAPH KERNEL
GRAPH KERNEL
n.
A sort of grape.
n.
The Hartford grape, a variety of grape first raised at Hartford, Connecticut, from the Northern fox grape. Its large dark-colored berries ripen earlier than those of most other kinds.
n.
See Grasshopper, and Frog hopper, Grape hopper, Leaf hopper, Tree hopper, under Frog, Grape, Leaf, and Tree.
n.
Grapeshot.
n.
The cultivation of the vine; grape growing.
n.
The plant which bears this fruit; the grapevine.
n.
A mangy tumor on the leg of a horse.
n.
A grape of many varieties and colors.
n.
A white grape, esteemed for the table.
a.
Full of small kernels like a grape.
n.
A grape, or a bunch of grapes.
a.
Resembling a grape.
n.
A plant of the genus Muscari; grape hyacinth.
a.
Composed of, or resembling, grapes.
n.
A well-known edible berry growing in pendent clusters or bunches on the grapevine. The berries are smooth-skinned, have a juicy pulp, and are cultivated in great quantities for table use and for making wine and raisins.
n.
A variety of shaddock, called also grape fruit.
n.
A seed of the grape.
n.
A grape dried in the sun; a raisin.