ARTIKELDIGITAL.COM

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...

respectively. 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...

the random variable Z = argmax s ∈ R   ( W ( s ) − s 2 ) , {\displaystyle Z={\underset {s\in \mathbf {R} }{\operatorname {argmax} }}\ (W(s)-s^{2}),} where...

decision function f θ ( x ) = argmax y   p ( y | x , θ ) {\displaystyle f_{\theta }(x)={\underset {y}{\operatorname {argmax} }}\ p(y|x,\theta )} . The parameter...

the ELBO θ ∗ , ϕ ∗ = argmax θ , ϕ L θ , ϕ ( x ) {\displaystyle \theta ^{*},\phi ^{*}={\underset {\theta ,\phi }{\operatorname {argmax} }}\,L_{\theta ,\phi...

log-likelihood: Θ ^ = argmax Θ ≻ 0 ⁡ ( log ⁡ det ( Θ ) − tr ⁡ ( S Θ ) − λ ∑ i , j | Θ i j | ) {\displaystyle {\hat {\Theta }}=\operatorname {argmax} _{\Theta \succ...

V(s')\right)} π ( s ) := argmax a ⁡ { ∑ s ′ P a ( s , s ′ ) ( R a ( s , s ′ ) + γ V ( s ′ ) ) } {\displaystyle \pi (s):=\operatorname {argmax} _{a}\left\{\sum...

to the optimization problem from above, β ^ = argmax b p ( b | ε ) = argmax b log ⁡ p ( b | ε ) = argmax b log ⁡ p ( ε | b ) , {\displaystyle {\hat {\boldsymbol...

data set argmax x ∈ R ∑ i = 1 n ( { 1 ,  if  x = x i 0 ,  if  x ≠ x i ) {\displaystyle {\underset {x\in \mathbb {R} }{\operatorname {argmax} }}\,\sum...

= argmax r ∈ { 1 , 2 , … , K } P ⁡ ( Y = r ∣ X = x ) . {\displaystyle C^{\text{Bayes}}(x)={\underset {r\in \{1,2,\dots ,K\}}{\operatorname {argmax} }}\operatorname...

choose among many possible outputs: y ^ = argmax y ⁡ f ( x , y ) ⋅ w . {\displaystyle {\hat {y}}=\operatorname {argmax} _{y}f(x,y)\cdot w.} Learning again iterates...

following. f ( x ) = argmax y ∈ Y ⟨ w , Ψ ( x , y ) ⟩ {\displaystyle f({\boldsymbol {x}})={\underset {y\in {\mathcal {Y}}}{\textrm {argmax}}}\quad \langle...

defined as argmax k = 1 , . . . , K f k ( x ) {\textstyle {\text{argmax}}_{k=1,...,K}f_{k}(x)} . The goal of this attack is as follows: argmax k = 1 , ...

the 1-hot maximizer of the linear Decoder layer D; that is, it takes the argmax of D's linear layer output. x 300-long word embedding vector. The vectors...

allocation x I ∗ ( θ ) ∈ argmax x ∈ X ∑ i ∈ I v ( x , θ i ) {\displaystyle x_{I}^{*}(\theta )\in {\underset {x\in X}{\operatorname {argmax} }}\sum _{i\in I}v(x...

computes: a r g m a x θ ⁡ log ⁡ ( l ( θ ) ) {\displaystyle \mathop {\rm {argmax}} \limits _{\theta }\log(l(\theta ))} where log ⁡ ( l ( θ ) ) = log ⁡ (...

_{E}P(E|F)} . However, by Bayes law, we have the equivalent equation: E ^ = argmax E ∈  English  P ( F ∣ E ) ⏞ translation model  P ( E ) ⏞ language model...

∈ ( R n ) ∗ ∣ F ⊆ argmax x ∈ P ⁡ w ( x ) } . {\displaystyle C_{F}=\{w\in (\mathbb {R} ^{n})^{*}\mid F\subseteq \operatorname {argmax} _{x\in P}w(x)\}.}...

correspondence is defined to be x ∗ ( p , I ) = argmax x ∈ B ( p , I ) ⁡ u ( x ) {\displaystyle x^{*}(p,I)=\operatorname {argmax} _{x\in B(p,I)}u(x)} Marshall's theory...

programming: argmax w μ T ( w − w b ) , s.t. ( w − w b ) T Σ ( w − w b ) ≤ ω 2 , A x ≤ b , C x = d {\displaystyle {\underset {w}{\operatorname {argmax} }}\;\mu...

maximum likelihood estimation, θ i = argmax θ ∈ Θ i ⁡ F ( θ ) . {\displaystyle \theta _{i}=\operatorname {argmax} _{\theta \in \Theta _{i}}F(\theta )...

up to min { m , n } {\displaystyle \min\{m,n\}} times. ( a k , b k ) = argmax a , b corr ⁡ ( a T X , b T Y )  subject to  cov ⁡ ( a T X , a j T X ) =...

_{i}x_{i}} { 1 if  j = argmax i x i 0 if  j ≠ argmax i x i {\displaystyle {\begin{cases}1&{\text{if }}j={\underset {i}{\operatorname {argmax} }}\,x_{i}\\0&{\text{if...

{\theta }}){\big )}\;=\;{\tilde {q}}(\theta ),} where we have defined θ ^ = argmax θ ⁡ log ⁡ p ( y , θ | x ) , S − 1 = − ∇ θ ∇ θ log ⁡ p ( y , θ | x ) | θ...

optimizing the long-term reward. π ∗ = argmax π   V π ( b 0 ) {\displaystyle \pi ^{*}={\underset {\pi }{\mbox{argmax}}}\ V^{\pi }(b_{0})} where b 0 {\displaystyle...

The argmax of a function is in general, multivalued. For example, argmax x ∈ R ⁡ cos ⁡ ( x ) = { 2 π k ∣ k ∈ Z } {\displaystyle \operatorname {argmax} _{x\in...

with the largest score (e.g. argmax f i ∈ F ( I ( f i , c ) ) {\displaystyle {\underset {f_{i}\in F}{\operatorname {argmax} }}(I(f_{i},c))} ) and add it...

given the distribution of valuations: p = argmax v ⁡ v ⋅ ( 1 − F ( v ) ) {\displaystyle p=\operatorname {argmax} _{v}v\cdot (1-F(v))} Virtual valuations...

p_{j})} Let pm be the monopoly price, p m = argmax p ⁡ ( p − c ) D ( p ) {\textstyle p^{m}=\operatorname {argmax} _{p}(p-c)D(p)} Firm i's best response Ri(pj)...

Operators arg min and arg max are sometimes also written as argmin and argmax, and stand for argument of the minimum and argument of the maximum. Fermat...

assignment problem: argmax x   P ( x ) = 1 Z exp ⁡ ( − 1 2 x T A x + b T x ) . {\displaystyle {\underset {x}{\operatorname {argmax} }}\ P(x)={\frac {1}{Z}}\exp(-{\tfrac...

( T | h i ) P ( h i ) {\displaystyle y={\underset {c_{j}\in C}{\mathrm {argmax} }}\sum _{h_{i}\in H}{P(c_{j}|h_{i})P(T|h_{i})P(h_{i})}} where y {\displaystyle...

Solve for v ( t ) {\displaystyle \mathbf {v} ^{(t)}} , where v ( t ) = argmax v ⁡ 1 N ∑ i = 1 N H ( X i ) f ( X i ; u ) f ( X i ; v ( t − 1 ) ) log ⁡...

= argmax k ∈ { 1 , … , K }   p ( C k ) ∏ i = 1 n p ( x i ∣ C k ) . {\displaystyle {\hat {y}}={\underset {k\in \{1,\ldots ,K\}}{\operatorname {argmax} }}\...

bootstrap sample from D (sample with replacement) Ci = I(D') } C*(x) = argmax #{i:Ci(x)=y} (most often predicted label y) y∈Y To illustrate the basic...

\mathbb {R} } such that x ( p , w ) = argmax x ∈ X ⁡ { u ( x ) : p ⋅ x ≤ w } {\displaystyle x(p,w)=\operatorname {argmax} _{x\in X}\{u(x):p\cdot x\leq w\}}...

pivot column */ while h ≤ m and k ≤ n: /* Find the k-th pivot: */ i_max := argmax (i = h ... m, abs(A[i, k])) if A[i_max, k] = 0: /* No pivot in this column...

given by St H t = argmax H ⊂ { 1 , 2 , … , k } ⁡ E ( ∑ i = 1 k ( 1 ( i ∈ H ) 1 ( i ∈ H ⋆ ) + 1 ( i ∉ H ) 1 ( i ∉ H ⋆ ) ) ∣ S ⋆ ) = argmax H ⊂ { 1 , 2 , …...

def solve(n): values = [func(r, n) for r in range(1, n + 1)] r_max = np.argmax(values) + 1 return r_max, values[r_max - 1] # Define a function to print...

) > 0 {\displaystyle \sigma _{i}(a_{i}^{*}|t_{i})>0} , we have a i ∗ ∈ argmax a i ∈ A i ∑ t − i ∈ T − i p i ( t − i | t i ) ∑ a − i ∈ A − i σ − i ( a...

{\displaystyle (2)}   a ∈ argmax a ^ ∈ A V ( w , a ^ ) {\displaystyle a\in {\underset {{\hat {a}}\in A}{\operatorname {argmax} }}V(w,{\hat {a}})} where...

where c {\displaystyle c} is the learning rate. In practice, finding the argmax over G E N ( x ) {\displaystyle {GEN}({x})} is done using an algorithm such...

{\displaystyle \beta ,y} , λ ^ = argmax λ ∫ f ( y | β , λ ) π ( β | λ ) d β {\displaystyle {\hat {\lambda }}={\text{argmax}}_{\lambda }\int f(y|\beta ,\lambda...

a x   ρ ( ϕ ( x q ) , ϕ ( c k ) ) {\displaystyle k^{*}=_{k\in 1,...,K}^{argmax}\ \rho (\phi (x_{q}),\phi (c_{k}))} . The similarity metric ρ is typically...

\Omega } as ω ∗ = argmax ω ∈ Ω ∑ n = 1 ℓ y n h ( x n ; ω ) λ n . {\displaystyle \omega ^{*}={\underset {\omega \in \Omega }{\textrm {argmax}}}\sum _{n=1}^{\ell...

welfare: d ∗ = argmax d ∈ D ∑ i = 1 n ∑ A ∈ A ( p d ( A ) ⋅ u i ( A ) ) {\displaystyle d^{*}={\underset {d\in {\mathcal {D}}}{\operatorname {argmax} }}\sum _{i=1}^{n}\sum...

causes the largest increase in modularity when v is moved into it C' <- argmax(delta_Q) # delta_Q is the change in modularity if delta_Q > 0, then move...

extra information (the argmax derivation), effectively working in an extended semiring that carries both the probability and the argmax history. Some formalisms...

{\beta }}} can be obtained by maximizing the log-likelihood function β ^ = argmax β ∑ i = 1 n [ y i l n ( π ( x i ; β ) ) + ( 1 − y i ) l n ( 1 − π ( x i...

{\displaystyle {\hat {\theta }}(x)} the set a r g m a x θ P ( x ∣ θ ) {\displaystyle argmax_{\theta }\mathbb {P} (x\mid \theta )} : for any x {\displaystyle x} we have...

Irons, John (2001-06-24). "Price Controls and California Electricity". ArgMax Economics. Archived from the original on 2007-10-20. Retrieved 2008-11-06...

KFD becomes A ∗ = argmax A = | A T M A | | A T N A | , {\displaystyle \mathbf {A} ^{*}={\underset {\mathbf {A} }{\operatorname {argmax} }}={\frac {\left|\mathbf...

that this objective function is maximized. A ∗ = argmax A f ( A ) {\displaystyle A^{*}={\mbox{argmax}}_{A}f(A)} Consider predicting the class label of...

those within two scale-spaces of the previous iterations scale. σ I ( k ) = argmax σ I = t σ I ( k − 1 ) t ∈ [ 0.7 , … , 1.4 ] σ I 2 det ( L x x ( x , σ I...

The optimizing vector field v t ≐ argmax v ⁡ H ( ϕ t , p t , v ) {\displaystyle v_{t}\doteq \operatorname {argmax} _{v}H(\phi _{t},p_{t},v)} with dynamics...

r g m a x y ∑ i w i ϕ i ( x , y ) − ∑ ρ i C i ( x , y ) {\displaystyle argmax_{y}\sum _{i}w_{i}\phi _{i}(x,y)-\sum \rho _{i}C_{i}(x,y)} . Each constraint...

profit, where p m = a r g m a x p ( p − c ) D ( p ) {\displaystyle p^{m}=argmax_{p}(p-c)D(p)} . This is the largest rationalizable strategy. Even without...

{ n 0 , . . . , n K − 1 } ) {\displaystyle {\widehat {{\vec {r}}_{m}}}=argmax{\mathcal {L}}({\vec {r}}\mid \{n_{0},...,n_{K-1}\})} The position r → m...

variability of γ ^ {\displaystyle {\hat {\gamma }}} does not affect the argmax of the objective function, which explains invariant property of asymptotic...

grid median along that orientation. Split plane orientation o: o = min{argmax(i = 1 ... k: (hyprec[1][i] - hyprec[0][i]))} Split plane position p: p =...

optimizing vector field is given by v t ≐ argmax v ⁡ H ( φ t , p t , v ) {\displaystyle v_{t}\doteq \operatorname {argmax} _{v}H(\varphi _{t},p_{t},v)} with...

g m a x w w T X T C X w w T X T N X w {\displaystyle {w_{1},...,w_{k}}=argmax_{w}{\frac {w^{T}X^{T}CXw}{w^{T}X^{T}NXw}}} subject to constraints: w i T...