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Longer titles found: Indicator function (complex analysis) (view)

searching for Indicator function 55 found (260 total)

Duality gap (844 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f=f+I_{\text{constraints}}} where I {\displaystyle I} is the indicator function. Then let F : X × Y → R ∪ { + ∞ } {\displaystyle F:X\times Y\to \mathbb

Holland's schema theorem (852 words) [view diff] exact match in snippet view article find links to article

shown to be a special case of the Price equation with the schema indicator function as the macroscopic measurement. A schema is a template that identifies

Probability distribution (6,688 words) [view diff] exact match in snippet view article find links to article

a set of probability zero, where 1 A {\displaystyle 1_{A}} is the indicator function of A {\displaystyle A} . This may serve as an alternative definition

Quantum capacity (1,981 words) [view diff] exact match in snippet view article find links to article

equality follows by definition— I {\displaystyle {\mathcal {I}}} is an indicator function equal to one if E a n {\displaystyle E_{a^{n}}} is uncorrectable under

Robust parameter design (3,572 words) [view diff] exact match in snippet view article find links to article

Rogantin had created an indicator function for two-level fractional factorial designs, and in 2003 Ye expanded the indicator function for regular and nonregular

Markov kernel (2,052 words) [view diff] exact match in snippet view article find links to article

for all B ∈ B {\displaystyle B\in {\mathcal {B}}} . Note that the indicator function 1 f − 1 ( B ) {\displaystyle \mathbf {1} _{f^{-1}(B)}} is A {\displaystyle

Reflection principle (Wiener process) (1,317 words) [view diff] exact match in snippet view article

\right\}}+(2W(\tau )-W(t))\chi _{\left\{t>\tau \right\}}} and the indicator function χ { t ≤ τ } = { 1 , if t ≤ τ 0 , otherwise {\displaystyle \chi _{\{t\leq

Random compact set (675 words) [view diff] exact match in snippet view article find links to article

{\displaystyle p_{X}} can also be interpreted as the mean of the indicator function 1 X {\displaystyle \mathbf {1} _{X}} : p X ( x ) = E 1 X ( x ) . {\displaystyle

Sigmoid function (2,089 words) [view diff] exact match in snippet view article find links to article

Function returning minus 1, zero or plus 1 Heaviside step function – Indicator function of positive numbers Logistic regression – Statistical model for a

Perturbation function (973 words) [view diff] exact match in snippet view article find links to article

x ) {\displaystyle f(x)} (including the constraints by way of the indicator function) can be written as f ( x ) = J ( x , T x ) {\displaystyle f(x)=J(x

Average absolute deviation (1,674 words) [view diff] exact match in snippet view article find links to article

D_{\text{med}}=E|X-{\text{median}}|=2\operatorname {Cov} (X,I_{O})} where the indicator function is I O := { 1 if x > median , 0 otherwise . {\displaystyle \mathbf

Ruin theory (1,480 words) [view diff] exact match in snippet view article find links to article

probability measure P x {\displaystyle \mathbb {P} ^{x}} . Here the indicator function I ( τ < ∞ ) {\displaystyle \mathbb {I} (\tau <\infty )} emphasizes

Baum–Welch algorithm (3,899 words) [view diff] exact match in snippet view article find links to article

}}y_{t}=v_{k},\\0&{\text{otherwise}}\end{cases}}} is an indicator function, and b i ∗ ( v k ) {\displaystyle b_{i}^{*}(v_{k})} is the expected

Bipolar theorem (829 words) [view diff] exact match in snippet view article find links to article

(x|C)={\begin{cases}0&x\in C\\\infty &{\text{otherwise}}\end{cases}}} be the indicator function for a cone C . {\displaystyle C.} Then the convex conjugate, f ∗ (

Proximal gradient method (589 words) [view diff] exact match in snippet view article find links to article

several convex constraints. Let f i {\displaystyle f_{i}} be the indicator function of non-empty closed convex set C i {\displaystyle C_{i}} modeling

Asian option (2,346 words) [view diff] exact match in snippet view article find links to article

{\displaystyle b>0} is the threshold and I A {\displaystyle I_{A}} is an indicator function which equals 1 {\displaystyle 1} if A {\displaystyle A} is true and

Convex analysis (2,605 words) [view diff] exact match in snippet view article find links to article

f=f+I_{\mathrm {constraints} }} where I {\displaystyle I} is the indicator function. Then let F : X × Y → [ − ∞ , ∞ ] {\displaystyle F:X\times Y\to [-\infty

Friedlander–Iwaniec theorem (1,005 words) [view diff] exact match in snippet view article find links to article

x(x+1){\pmod {2}}} , one has, for λ {\displaystyle \lambda } the prime indicator function and S f = Area ⁡ { ( x , y ) ∈ R 2 : f ( x , y 2 ) ≤ 1 } {\displaystyle

Additive process (2,688 words) [view diff] exact match in snippet view article find links to article

\mathbb {R} ^{d}} and I C {\displaystyle \mathbf {I_{C}} } is the indicator function of the set C {\displaystyle C} . A Lèvy process characteristic function

Naimark's dilation theorem (1,489 words) [view diff] exact match in snippet view article find links to article

So, taking f a sequence of continuous functions increasing to the indicator function of B, we get ⟨ E ( B ) h 1 , h 2 ⟩ = ⟨ h 1 , E ( B ) h 2 ⟩ {\displaystyle

Support function (1,388 words) [view diff] exact match in snippet view article find links to article

positive homogeneous, convex, real valued function is the (convex) indicator function of a compact convex set. Many authors restrict the support function

Measuring poverty (4,901 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Po={\frac {1}{N}}\sum _{i=1}^{N}I(yi<z)} , Here, I(·) is an indicator function that takes on a value of 1 if the bracketed expression is true, and

Quantum logic (4,022 words) [view diff] exact match in snippet view article find links to article

{R} }f(\lambda )\,d\operatorname {E} (\lambda ).} In case f is the indicator function of an interval [a, b], the operator f(A) is a self-adjoint projection

Truncated distribution (1,716 words) [view diff] exact match in snippet view article find links to article

g(x)=f(x)\cdot I(\{a<x\leq b\})} where I {\displaystyle I} is the indicator function. Note that the denominator in the truncated distribution is constant

Prime omega function (4,100 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f(n)=\pi (n)-\pi (n-1)=\chi _{\mathbb {P} }(n)} is the indicator function of the primes. This identity is proved in the article by Schmidt cited

Weighted arithmetic mean (9,001 words) [view diff] exact match in snippet view article find links to article

43, 51, 52 As above, we can add a tick mark if multiplying by the indicator function. I.e.: y ˇ i ′ = I i y ˇ i = I i y i π i {\displaystyle {\check

Evaluation measures (information retrieval) (3,220 words) [view diff] exact match in snippet view article

} where rel ⁡ ( k ) {\displaystyle \operatorname {rel} (k)} is an indicator function equaling 1 if the item at rank k {\displaystyle k} is a relevant document

Random cluster model (1,984 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Z} is an appropriate normalizing constant. Importantly, the indicator function 1 A {\displaystyle 1_{A}} of the set A = { ( σ , ω ) : σ i = σ j for

Sliced inverse regression (1,511 words) [view diff] exact match in snippet view article find links to article

observations within each slice and I H s {\displaystyle \,I_{H_{s}}} is the indicator function for the slice: n s = ∑ i = 1 n I H s ( y i ) {\displaystyle n_{s}=\sum

Empirical likelihood (1,481 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\hat {F}}(y):=\sum _{i=1}^{n}\pi _{i}I(Y_{i}<y)} , with the indicator function I {\displaystyle I} and the (normalized) weights π i {\displaystyle

K-means clustering (7,772 words) [view diff] exact match in snippet view article find links to article

computes the distance from the datum to each centroid, or simply an indicator function for the nearest centroid, or some smooth transformation of the distance

Cantor set (6,396 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathcal {C}}} to be interesting in science." The indicator function of the Cantor set Smith–Volterra–Cantor set Cantor function Cantor

Cascades in financial networks (1,116 words) [view diff] exact match in snippet view article find links to article

i {\displaystyle k_{i}} . Further, let I {\displaystyle I} be an indicator function that is equal to 1 if the value of i is below the threshold and 0

Rank SIFT (823 words) [view diff] exact match in snippet view article find links to article

H_{m}(p)-q\rVert }_{2}<\epsilon ),} where I ( . ) {\displaystyle I(.)} is the indicator function, H m {\displaystyle H_{m}} is the homography transformation from I

Tobit model (2,827 words) [view diff] exact match in snippet view article find links to article

y_{L}} . In writing out the likelihood function, we first define an indicator function I {\displaystyle I} : I ( y ) = { 0 if y ≤ y L , 1 if y > y L .

Receiver operating characteristic (7,929 words) [view diff] exact match in snippet view article find links to article

t 1 ) ] {\textstyle {\textbf {1}}[f(t_{0})<f(t_{1})]} denotes an indicator function which returns 1 if f ( t 0 ) < f ( t 1 ) {\displaystyle f(t_{0})<f(t_{1})}

Ford Taunus P4 (1,712 words) [view diff] exact match in snippet view article find links to article

lamp unit for the turn indicators the Ford Taunus P4 had also the indicator function included in the single bulb. The high-power filament was lit intermittently

Markov chain Monte Carlo (8,546 words) [view diff] exact match in snippet view article find links to article

\;\;\;n=1,2,\dots } where I ( ⋅ ) {\displaystyle I(\cdot )} is the indicator function. The sequence { W n } {\displaystyle \{W_{n}\}} is treated as a realization

Almost sure hypothesis testing (1,174 words) [view diff] exact match in snippet view article find links to article

\right]\right]=\Pr(\mu \leq t)} where the equality holds w.p. 1. So the indicator function of a one-sided a.s. confidence interval is a good approximation to

Multi-task learning (6,154 words) [view diff] exact match in snippet view article find links to article

cardinality of group r, and I {\displaystyle \mathbb {I} } is the indicator function). For example, people in different political parties (groups) might

Guided local search (1,546 words) [view diff] case mismatch in snippet view article find links to article

implementation level, we define for each feature i {\displaystyle i} an Indicator Function I i {\displaystyle I_{i}} indicating whether the feature is present

Social cost of carbon (4,318 words) [view diff] exact match in snippet view article find links to article

loops without jumping straight to tipping points ×1(T > T*) is an indicator function that activates when temperature exceeds tipping threshold T* (e.g

Monotone convergence theorem (5,321 words) [view diff] exact match in snippet view article find links to article

}_{X_{2}},} where 1 X i {\displaystyle {\mathbf {1} }_{X_{i}}} is the indicator function of X i {\displaystyle X_{i}} , are easily seen to be measurable and

Matrix regularization (2,510 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbf {1} _{\|w_{g}\|_{g}\geq \lambda }} is the indicator function for group norms ≥ λ {\displaystyle \geq \lambda } . Thus, using ℓ

White noise analysis (1,915 words) [view diff] exact match in snippet view article find links to article

t)}\rangle ,} where 1 1 [ 0 , t ) {\displaystyle 1\!\!1_{[0,t)}} is the indicator function of the interval [ 0 , t ) {\displaystyle [0,t)} . Informally B ( t

Overcompleteness (2,792 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g(x)=I_{[0,c)}(x)} , where I ( x ) {\displaystyle I(x)} is the indicator function. The situation for { E m b T n a g } m , n ∈ Z {\displaystyle \{E_{mb}T_{na}g\}_{m

System of imprimitivity (3,055 words) [view diff] exact match in snippet view article find links to article

g ∈ G and Borel subsets A of G. Let π(A) be multiplication by the indicator function of A and Ug be the operator [ U g ψ ] ( x ) = ψ ( g − 1 x ) . {\displaystyle

Roth's theorem on arithmetic progressions (4,212 words) [view diff] exact match in snippet view article find links to article

the functions f = 1 A {\displaystyle f=\mathbf {1} _{A}} (i.e the indicator function of A {\displaystyle A} ), and g = α ⋅ 1 [ N ] {\displaystyle g=\alpha

Semantic Brand Score (1,207 words) [view diff] exact match in snippet view article find links to article

is the degree of node j and I ( f ) {\displaystyle I_{(f)}} is the indicator function which equals 1 if f = T R U E {\displaystyle f=TRUE} , i.e. if there

Particle filter (16,934 words) [view diff] exact match in snippet view article find links to article

dependent on the application domain. For instance, if we choose the indicator function G n ( x n ) = 1 A ( x n ) {\displaystyle G_{n}(x_{n})=1_{A}(x_{n})}

Hattendorff's theorem (1,655 words) [view diff] case mismatch in snippet view article find links to article

229–245. ISBN 9780938959465. Gerber, H.U., Leung, B.P.K., Shiu, E.S.W. "Indicator Function and Hattendorff's Theorem". North American Actuarial Journal. Vol

Analysis of Boolean functions (5,379 words) [view diff] exact match in snippet view article find links to article

The counterpart of total influence or average sensitivity for the indicator function of a set is Gaussian surface area, which is the Minkowski content

Yield (metric) (2,075 words) [view diff] exact match in snippet view article

satisfied, the circuit is considered qualified. To formalize this, an indicator function is defined to determine whether a given circuit instance meets all

Chambolle–Pock algorithm (2,970 words) [view diff] exact match in snippet view article find links to article

{\lambda }{2}}\lVert u-g\rVert _{2}^{2}-\delta _{P}(p)} where the indicator function is defined as δ P ( p ) = { 0 , if p ∈ P + ∞ , if p ∉ P {\displaystyle

Yield (Circuit) (4,696 words) [view diff] exact match in snippet view article

satisfied, the circuit is considered qualified. To formalize this, an indicator function is defined to determine whether a given circuit instance meets all