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Unimodality information


In mathematics, unimodality means possessing a unique mode. More generally, unimodality means there is only a single highest value, somehow defined, of some mathematical object.[1]

  1. ^ Weisstein, Eric W. "Unimodal". MathWorld.

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Unimodality

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In mathematics, unimodality means possessing a unique mode. More generally, unimodality means there is only a single highest value, somehow defined, of...

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Multimodal distribution

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(perfect unimodality). It is defined as A = U ( 1 − S − 1 K − 1 ) {\displaystyle A=U\left(1-{\frac {S-1}{K-1}}\right)} where U is the unimodality of the...

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Unimodal thresholding

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Unimodal thresholding is an algorithm for automatic image threshold selection in image processing. Most threshold selection algorithms assume that the...

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Quasiconvex function

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quasi-concavity, if S ⊂ R {\displaystyle S\subset \mathbb {R} } , is unimodality, in which there is a locally maximal value. Quasiconvex functions have...

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Artificial intelligence

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Hussain, Amir (September 2017). "A review of affective computing: From unimodal analysis to multimodal fusion". Information Fusion. 37: 98–125. doi:10...

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Histogram

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are: "symmetric", "skewed left" or "right", "unimodal", "bimodal" or "multimodal". Symmetric, unimodal Skewed right Skewed left Bimodal Multimodal Symmetric...

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Multimodal learning

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multiple modalities of data, such as text, audio, or images. In contrast, unimodal models can process only one type of data, such as text (typically represented...

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Probability density function

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Geometric visualisation of the mode, median and mean of an arbitrary unimodal probability density function....

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Hallucination

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hallucinations are the perception of erogenous or orgasmic stimuli. They may be unimodal or multimodal in nature and frequently involve sensation in the genital...

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LSD

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psychedelic drugs LSD and psilocybin reduce the hierarchical differentiation of unimodal and transmodal cortex". bioRxiv. doi:10.1101/2020.05.01.072314. S2CID 233346402...

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Normal distribution

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same time the mode, the median and the mean of the distribution. It is unimodal: its first derivative is positive for x < μ , {\displaystyle x<\mu ,} negative...

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Skewness

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The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly...

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Logistic regression

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Both the logistic and normal distributions are symmetric with a basic unimodal, "bell curve" shape. The only difference is that the logistic distribution...

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June Huh

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2009, during his PhD studies, Huh proved Read's conjecture about the unimodality of the coefficients of chromatic polynomials in graph theory, which had...

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Ternary search

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technique in computer science for finding the minimum or maximum of a unimodal function. Assume we are looking for a maximum of f ( x ) {\displaystyle...

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Uncertainty principle

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than one period. Other examples include highly bimodal distributions, or unimodal distributions with divergent variance. A solution that overcomes these...

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Association cortex

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into unimodal and heteromodal (or polymodal) areas, which process either a single sensory modality or multiple modalities, respectively. Unimodal association...

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Kurtosis

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one moves outward from the origin ("has fat tails"). Several well-known, unimodal, and symmetric distributions from different parametric families are compared...

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Median

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well-defined mean, such as the Cauchy distribution: The median of a symmetric unimodal distribution coincides with the mode. The median of a symmetric distribution...

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Symmetric probability distribution

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x_{0}} about which the symmetry occurs. If a symmetric distribution is unimodal, the mode coincides with the median and mean. All odd central moments of...

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Transport hub

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of these. For private transport by car, the parking lot functions as a unimodal hub. Historically, an interchange service in the scheduled passenger air...

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Beta distribution

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0}\mu =\lim _{\beta \to \infty }\mu =0\end{aligned}}} While for typical unimodal distributions (with centrally located modes, inflexion points at both sides...

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Intermodal container

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D5728-00 Standard Practices for Securement of Cargo in Intermodal and Unimodal Surface Transport ISO 668:2013 Series 1 freight containers – Classification...

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Central tendency

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likelihood estimate minimizes the surprisal (information distance). For unimodal distributions the following bounds are known and are sharp: | θ − μ | σ...

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Generative artificial intelligence

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or type of the data set used. Generative AI can be either unimodal or multimodal; unimodal systems take only one type of input, whereas multimodal systems...

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List of emerging technologies

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systems Deployed at various airports and federal security checkpoints Unimodal facial recognition scanners Nanoelectromechanical systems Research and...

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