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In mathematics, the arguments of the maxima (abbreviated arg max or argmax) and arguments of the minima (abbreviated arg min or argmin) are the input points at which a function output value is maximized and minimized, respectively.[note 1] While the arguments are defined over the domain of a function, the output is part of its codomain.
^"The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney
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the arguments of the maxima (abbreviated argmax or argmax) and arguments of the minima (abbreviated arg min or argmin) are the input points at which...
considering the argmax as a function with categorical output 1 , … , n {\displaystyle 1,\dots ,n} (corresponding to the index), consider the argmax function...
∈ arg min μ G max μ D L ( μ G , μ D ) , μ ^ D ∈ arg max μ D L ( μ ^ G , μ D ) , {\displaystyle {\hat {\mu }}_{G}\in \arg \min _{\mu _{G}}\max _{\mu...
1 ) = arg max ‖ w ‖ = 1 { ∑ i ( t 1 ) ( i ) 2 } = arg max ‖ w ‖ = 1 { ∑ i ( x ( i ) ⋅ w ) 2 } {\displaystyle \mathbf {w} _{(1)}=\arg \max _{\Vert...
then by routine integration, P r ( j = arg max i ( g i + log π i ) ) = π j ∑ i π i {\displaystyle Pr(j=\arg \max _{i}(g_{i}+\log \pi _{i}))={\frac {\pi...
\theta } is the actual parameter. In maximum likelihood estimation, the argmax (over the parameter θ {\displaystyle \theta } ) of the likelihood function...
use gradient descent to search for arg max Z ~ ∑ i log P r [ Y i | Z ~ ∗ E ( X i ) ] {\displaystyle \arg \max _{\tilde {Z}}\sum _{i}\log Pr[Y^{i}|{\tilde...
B ⟩ F = arg max Ω ⟨ Ω A , B ⟩ F = arg max Ω ⟨ Ω , B A T ⟩ F = arg max Ω ⟨ Ω , U Σ V T ⟩ F = arg max Ω ⟨ U T Ω V , Σ ⟩ F = arg max Ω ⟨ S , Σ...
largest diameter: C ∗ = arg max C ∈ C max i 1 , i 2 ∈ C δ ( i 1 , i 2 ) {\displaystyle C_{*}=\arg \max _{C\in {\mathcal {C}}}\max _{i_{1},i_{2}\in C}\delta...
that gives the highest score: g ( x ) = arg max y f ( x , y ) {\displaystyle g(x)={\underset {y}{\arg \max }}\;f(x,y)} . Let F {\displaystyle F} denote...
is omitted and error is False, the result is abort. if a ≥ b → max := a □ b ≥ a → max := b fi If a = b, either a or b is chosen as the new value for the...
{\displaystyle p} and moving towards the maximum likelihood arg max z ln p θ ( x | z ) {\displaystyle \arg \max _{z}\ln p_{\theta }(x|z)} . H ( q ϕ ( ⋅ | x ) )...
correspondence arg max x ∈ X f ( x ; s ) {\displaystyle \arg \max _{x\in X}f(x;s)} is said to be increasing if arg max x ∈ X f ( x ; s ′ ) ≥ S S O arg max x...
estimate arg max x p ( x | y ) {\displaystyle \arg \max _{x}p(x|y)} . If we want to force the model to move towards the maximum likelihood estimate arg max...
~ = a r g max e ∈ e ∗ p ( e | f ) = a r g max e ∈ e ∗ p ( f | e ) p ( e ) {\displaystyle {\tilde {e}}=arg\max _{e\in e^{*}}p(e|f)=arg\max _{e\in e^{*}}p(f|e)p(e)}...
maximum-likelihood parameter estimate is: α ^ , β ^ = arg max α , β 1 n ∑ i = 1 n log f ( x i ; α , β ) = arg max α , β α ( 1 n ∑ i log σ ( x i ) ) + β (...
and {−5, (2k + 1)π}, where k ranges over all integers. Operators arg min and argmax are sometimes also written as argmin and argmax, and stand for argument...
maximized between the two windows: w = arg max w ‖ w X 1 ‖ 2 ‖ w X 2 ‖ 2 {\displaystyle \mathbf {w} ={\arg \max }_{\mathbf {w} }{\frac {\left\|\mathbf...
arg max x t p ( x t | y 1 : t ) = arg max x t α ( x t ) , {\displaystyle {\widehat {x}}_{t}^{MAP}=\arg \max _{x_{t}}\;p(x_{t}|y_{1:t})=\arg \max _{x_{t}}\;\alpha...
function in data analysis Softmax function – Smooth approximation of one-hot argmax Swish function – Mathematical activation function in data analysis Weibull...
setting), and it can be defined using the argmax: * arg max x g ( x ) . {\displaystyle \operatorname {*} {\arg \max }_{\mathbf {x} }g(\mathbf {x} ).} An...
decision function is defined as: f ( x ; w ) = arg max y w T ϕ ( x , y ) {\displaystyle f(x;w)=\arg \max _{y}w^{T}\phi (x,y)} According to Memisevic's...