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In robust statistics and computational geometry, simplicial depth is a measure of central tendency determined by the simplices that contain a given point
Simplicial_depth
American statistician
statistics and nonparametric statistics, including the first formulation of simplicial depth.[PNAS][AS90] Liu earned her Ph.D. in statistics from Columbia University
Regina_Liu
Statistical value representing the center or average of a distribution
of the distribution when the distribution includes negative values. Simplicial depth the probability that a randomly chosen simplex with vertices from the
Central_tendency
categorical and ordinal data Regina Liu, American statistician, invented simplicial depth Lisa Lix (born 1966), Canadian health scientist and biostatistician
List_of_women_in_statistics
Probability distribution
normalizes generalized gamma variates, one obtains variates from the simplicial generalized beta distribution (SGB). On the other hand, SGB variates can
Dirichlet_distribution
Topological data
simplex tree is a type of trie used to represent efficiently any general simplicial complex. Through its nodes, this data structure notably explicitly represents
Simplex_tree
Class of artificial neural networks
More powerful GNNs operating on higher-dimension geometries such as simplicial complexes can be designed. As of 2022[update], whether or not future architectures
Graph_neural_network
Algebraic structure
and more general rings of differential operators. A simplicial commutative ring is a simplicial object in the category of commutative rings. They are
Commutative_ring
Type of mathematical function
affine space, as well as on piecewise linear manifolds and simplicial complexes (see simplicial map). In each case, the function may be real-valued, or it
Piecewise_linear_function
Spontaneous, unsolicited and uncritical imitation of another's behavior
Iacopini, Iacopo; Petri, Giovanni; Barrat, Alain; Latora, Vito (2019). "Simplicial models of social contagion". Nature Communications. 10 (1): 2485. arXiv:1810
Behavioral_contagion
Mathematical space
a manifold called the E8 manifold, a manifold not homeomorphic to any simplicial complex. If the form is Z {\displaystyle \mathbb {Z} } , there are two
4-manifold
Generalization of depth-first search trees
be used to form a topological space by viewing the graph itself as a simplicial complex and adding a point at infinity for each end of the graph. With
Trémaux_tree
Fewest graph edges whose removal breaks all cycles
topology. Any graph G may be viewed as an example of a 1-dimensional simplicial complex, a type of topological space formed by representing each graph
Cyclomatic_number
Eilenberg-MacLane space K ( G , 1 ) {\displaystyle K(G,1)} through a simplicial construction, and it behaves functorially. This construction gives an
N-group_(category_theory)
vertex v is a vertex which has the same parent vertex as v. simplicial vertex A simplicial vertex is a vertex whose closed neighborhood forms a clique
Glossary_of_graph_theory
Properties of 2D or 3D digital images that correspond to classic topological properties
discretization of a manifold. It usually means a piecewise linear manifold made by simplicial complexes. A digital manifold is a special kind of combinatorial manifold
Digital_topology
Smallest convex set containing a given set
{\displaystyle S} . For sets of points in general position, the convex hull is a simplicial polytope. According to the upper bound theorem, the number of faces of
Convex_hull
Concept in algebraic geometry
proof of the simplicial form of McMullen's Upper bound theorem involves showing that the Stanley-Reisner ring of the corresponding simplicial complex is
Local_cohomology
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
Boy/Male
Hindu, Indian
More Polite; Simplicity
Girl/Female
Indian
Simplicity and purity
Girl/Female
Tamil
Hitanshi | ஹிதாஂஷீÂ
Simplicity and purity
Hitanshi | ஹிதாஂஷீÂ
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Virtuous Woman; Simplicity
Girl/Female
Muslim
Of great depth
Boy/Male
Indian, Punjabi, Sikh
Love for Simplicity
Girl/Female
Indian, Telugu
Depth
Boy/Male
Indian, Punjabi, Sikh
Victory of Simplicity
Boy/Male
Arabic, Muslim
Deep; Depth Like Sky; The Place Where Earth and Sky Meet; Silence
Boy/Male
Hindu
Depth, Profound
Girl/Female
Hindu, Indian, Tamil, Traditional
Pure; Depth in Character
Girl/Female
Tamil
Hitansi | ஹிதாஂஸீ
Simplicity and purity
Hitansi | ஹிதாஂஸீ
Girl/Female
Indian
Simplicity and purity
Boy/Male
Arabic
Consideration; Depth; Attention
Girl/Female
Bengali, Hindu, Indian, Kannada, Marathi, Sanskrit, Tamil, Telugu
Goddess Laxmi; Prosperity; Simplicity; Lovable; Affectionate; Wealthy; Fortunate
Boy/Male
Biblical
A valley, a depth.
Girl/Female
Arabic, Muslim
Of Great Depth
Girl/Female
Hindu, Indian, Tamil
One with Simplicity; Special Person of All Beings
Girl/Female
Greek Latin Spanish
Pastoral simplicity and happiness.
Boy/Male
Tamil
Depth, Profound
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
Boy/Male
Arabic, Muslim
Slave of the Protector
Girl/Female
Indian, Modern, Punjabi, Sikh
Very Rich; God Gift
Boy/Male
Hindu
Without sound, Quiet, Silent
Girl/Female
Australian, Latin
Young; June is Known as the Bridal Month
Boy/Male
Hindu, Indian
A Great Sage; Brother of Brihaspati
Girl/Female
Hungarian
meaning stranger.
Girl/Female
Latin
Gem; a jewel.
Boy/Male
Arabic, Muslim
Father of Seeker; Name of the Prophet Muhammad's Uncle
Boy/Male
Hindu, Indian
Intelligent
Girl/Female
French Greek American Latin
Dark.
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
SIMPLICIAL DEPTH
n.
The quality of being artless, or void of art or guile; simplicity; sincerity.
n.
Plainness; freedom from adornment; severe simplicity.
n.
The state of being elementary; original simplicity; uncompounded state.
n.
The quality or state of being not complex, or of consisting of few parts; as, the simplicity of a machine.
n.
Freedom from artificial ornament, pretentious style, or luxury; plainness; as, simplicity of dress, of style, or of language; simplicity of diet; simplicity of life.
n.
Weakness of intellect; silliness; folly.
n.
Simplicity or plainness, bordering on weakness or silliness; artlessness; ingenuousness.
n.
Simplicity.
n.
Want of wisdom; unwise conduct or action; folly; simplicity; ignorance.
n.
Simplicity; silliness.
n.
Artlessness of mind; freedom from cunning or duplicity; lack of acuteness and sagacity.
n.
One who is simple.
n.
The quality or state of being simple, unmixed, or uncompounded; as, the simplicity of metals or of earths.
n.
The state or quality of being childish; simplicity; harmlessness; weakness of intellect.
n.
Native simplicity; unaffected plainness or ingenuousness; artlessness.
n.
The quality or state of being rustic; rustic manners; rudeness; simplicity; artlessness.
n.
Coarseness; simplicity; want of refinement; as, the homeliness of manners, or language.
n.
The quality or state of being simple; simplicity.
n.
Freedom from subtlety or abstruseness; clearness; as, the simplicity of a doctrine; the simplicity of an explanation or a demonstration.
n.
Absence of simplicity; artfulness.