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Empirical risk minimization
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Empirical risk minimization is a principle in statistical learning theory which defines a family of learning algorithms based on evaluating performanceVector optimization (433 words) [view diff] exact match in snippet view article find links to article
\operatorname {int} {\tilde {C}}} . Every proper minimizer is a minimizer. And every minimizer is a weak minimizer. Modern solution concepts not only consistsCrash Bandicoot: The Huge Adventure (2,613 words) [view diff] exact match in snippet view article find links to article
Neo Cortex, through the use of a gigantic weapon named the "Planetary Minimizer". The protagonist of the story, Crash Bandicoot, must gather CrystalsFrank–Wolfe algorithm (1,205 words) [view diff] exact match in snippet view article find links to article
a linear approximation of the objective function, and moves towards a minimizer of this linear function (taken over the same domain). Suppose D {\displaystyleDirichlet's principle (573 words) [view diff] exact match in snippet view article find links to article
in potential theory, Dirichlet's principle is the assumption that the minimizer of a certain energy functional is a solution to Poisson's equation. Dirichlet'sRepresenter theorem (2,792 words) [view diff] exact match in snippet view article find links to article
representer theorem is any of several related results stating that a minimizer f ∗ {\displaystyle f^{*}} of a regularized empirical risk functional definedLoss functions for classification (4,159 words) [view diff] exact match in snippet view article find links to article
{\vec {x}}))]} is known as the conditional risk. One can solve for the minimizer of I [ f ] {\displaystyle I[f]} by taking the functional derivative ofProximal operator (787 words) [view diff] exact match in snippet view article find links to article
{1}{2}}\|x-v\|_{\mathcal {X}}^{2}\right).} For any function in this class, the minimizer of the right-hand side above is unique, hence making the proximal operatorDirect method in the calculus of variations (2,312 words) [view diff] exact match in snippet view article find links to article
variations is a general method for constructing a proof of the existence of a minimizer for a given functional, introduced by Stanisław Zaremba and David HilbertADMB (1,680 words) [view diff] exact match in snippet view article find links to article
known as the "gradient stack", and the software to manage it; a function minimizer; an algorithm to check that the derivatives are correct with respect toGo-oo (1,709 words) [view diff] exact match in snippet view article find links to article
export (PDF that includes original source documents), Sun Presentation Minimizer, and other functionalities were directly available in Go-oo. Later analysisDirichlet eigenvalue (1,071 words) [view diff] exact match in snippet view article find links to article
variations analogous to the Lax–Milgram theorem, one can show that a minimizer exists in H 0 1 ( Ω ) {\displaystyle H_{0}^{1}(\Omega )} . More generallyHamilton–Jacobi–Bellman equation (2,050 words) [view diff] exact match in snippet view article find links to article
can be used to obtain the optimal control by taking the maximizer (or minimizer) of the Hamiltonian involved in the HJB equation. The equation is a resultIterated local search (798 words) [view diff] exact match in snippet view article find links to article
confinement in a given attraction basin, so that the kick to transform a local minimizer into the starting point for the next run has to be appropriately strongEllipsoid method (3,656 words) [view diff] exact match in snippet view article find links to article
ellipsoids whose volume uniformly decreases at every step, thus enclosing a minimizer of a convex function. When specialized to solving feasible linear optimizationGlobal optimization (2,096 words) [view diff] exact match in snippet view article find links to article
\Omega }f(x),} that is, finding f ∗ {\displaystyle f^{*}} and a global minimizer in X ∗ {\displaystyle X^{*}} ; where Ω {\displaystyle \Omega } is a (notMöbius energy (4,261 words) [view diff] exact match in snippet view article find links to article
it to show the existence of a C 1 , 1 {\displaystyle C^{1,1}} energy minimizer in each isotopy class of a prime knot. They also showed the minimum energyBALL (930 words) [view diff] exact match in snippet view article find links to article
of SMILES- and SMARTS expressions to molecules Geometry optimization Minimizer and molecular dynamics classes Support for force fields (MMFF94, AMBERMINOS (optimization software) (508 words) [view diff] exact match in snippet view article
the solution obtained will be a global minimizer. Otherwise, the solution obtained may be a local minimizer. For linear programs, a two-phase primalCentral tendency (1,720 words) [view diff] exact match in snippet view article find links to article
and ∞-norm are strictly convex, and thus (by convex optimization) the minimizer is unique (if it exists), and exists for bounded distributions. Thus standardInformation projection (481 words) [view diff] exact match in snippet view article find links to article
continuous in p, if P is closed and non-empty, then there exists at least one minimizer to the optimization problem framed above. Furthermore, if P is convexPlateau's problem (938 words) [view diff] exact match in snippet view article find links to article
^{8}} that was first described by Jim Simons and was shown to be an area minimizer by Bombieri, De Giorgi and Giusti. To solve the extended problem in certainFilling area conjecture (1,710 words) [view diff] exact match in snippet view article find links to article
of the hemisphere still holds, but the hemisphere becomes the unique minimizer. This follows from Ivanov's theorem since the Hausdorff area of a FinslerNewton's method in optimization (1,833 words) [view diff] exact match in snippet view article find links to article
0 ∈ R {\displaystyle x_{0}\in \mathbb {R} } that converges towards a minimizer x ∗ {\displaystyle x_{*}} of f {\displaystyle f} by using a sequence ofΓ-convergence (918 words) [view diff] exact match in snippet view article find links to article
x_{n}} is a minimizer for F n {\displaystyle F_{n}} , then every cluster point of the sequence x n {\displaystyle x_{n}} is a minimizer of F {\displaystyleDeep image prior (958 words) [view diff] exact match in snippet view article find links to article
{\displaystyle R(x)=+\infty } otherwise). This yields the equation for the minimizer θ ∗ = a r g m i n θ E ( f θ ( z ) ; x 0 ) {\displaystyle \theta ^{*}=argmin_{\thetaList of Boolean algebra topics (271 words) [view diff] exact match in snippet view article find links to article
probability theory for a different concept) Espresso heuristic logic minimizer Logical matrix Logical value Stone duality Stone space Topological BooleanMario Party DS (2,856 words) [view diff] exact match in snippet view article find links to article
who steals Mario's Sky Crystal. Bowser also uses a device known as the Minimizer to shrink Mario and his friends down to minuscule size. Bowser, planningThin plate spline (1,605 words) [view diff] exact match in snippet view article find links to article
this variational problem, it can be shown that there exists a unique minimizer f {\displaystyle f} . The finite element discretization of this variationalLearnable function class (1,338 words) [view diff] exact match in snippet view article find links to article
sequence { f ^ n } {\displaystyle \{{\hat {f}}_{n}\}} converges to the minimizer of the expected risk can be very different for different P ( x , y ) {\displaystyleOnline machine learning (4,740 words) [view diff] exact match in snippet view article find links to article
than once). The incremental gradient method can be shown to provide a minimizer to the empirical risk. Incremental techniques can be advantageous whenKarush–Kuhn–Tucker conditions (3,966 words) [view diff] exact match in snippet view article find links to article
{\boldsymbol {\mu }}^{\top }\mathbf {g} (x^{*})=0.} One can ask whether a minimizer point x ∗ {\displaystyle x^{*}} of the original, constrained optimizationMean absolute error (1,074 words) [view diff] exact match in snippet view article find links to article
above expectation exists, then m is a median of X if and only if m is a minimizer of the mean absolute error with respect to X. In particular, m is a sampleBanach fixed-point theorem (2,529 words) [view diff] exact match in snippet view article find links to article
point, that can be easily found as a minimizer of d ( x , T ( x ) ) {\displaystyle d(x,T(x))} , indeed, a minimizer exists by compactness, and has to beTruck racing (837 words) [view diff] exact match in snippet view article find links to article
2017, giving America its first truck race series since GATR in 1993. The Minimizer Bandit Big Rig Series had 13 races in his first (2017) season, with historicMedian (7,632 words) [view diff] exact match in snippet view article find links to article
above expectation exists, then m is a median of X if and only if m is a minimizer of the mean absolute error with respect to X. In particular, if m is aDeterministic global optimization (1,165 words) [view diff] exact match in snippet view article find links to article
allowed to run indefinitely long, but has no means to know when a global minimizer has been found. A complete method reaches a global minimum with certaintySmoothing spline (2,309 words) [view diff] exact match in snippet view article find links to article
{f}}} of the function f {\displaystyle f} is defined to be the unique minimizer, in the Sobolev space W 2 2 {\displaystyle W_{2}^{2}} on a compact intervalYamabe flow (309 words) [view diff] exact match in snippet view article find links to article
limiting constant-scalar-curvature metic is typically no longer a Yamabe minimizer in this context. While the compact case is settled, the flow on completeMahler volume (1,145 words) [view diff] exact match in snippet view article find links to article
(2020). Nazarov et al. (2010) proved that the unit cube is a strict local minimizer for the Mahler volume in the class of origin-symmetric convex bodies endowedObstacle problem (1,912 words) [view diff] exact match in snippet view article find links to article
{\displaystyle u(x)} belonging to K {\displaystyle K} ; the existence of such a minimizer is assured by considerations of Hilbert space theory. The obstacle problemMicro Maniacs (1,177 words) [view diff] exact match in snippet view article find links to article
is at risk. However, a scientist named Dr. Minimizer has an idea: using a device he calls "The Minimizer Ray", he will shrink the planet's populationHilbert projection theorem (3,544 words) [view diff] exact match in snippet view article find links to article
and a point x . {\displaystyle x.} If m ∈ C {\displaystyle m\in C} is a minimizer or minimum point of the function N : C → R {\displaystyle N:C\to \mathbbConcord Speedway (3,034 words) [view diff] exact match in snippet view article find links to article
3 seasons until the end of 2017. On May 5, 2018, the track hosted the Minimizer Bandit Big Rig Series. Defending series champion Ricky Rude got the leadInvex function (811 words) [view diff] exact match in snippet view article find links to article
∗ {\displaystyle x^{*}} , then x ∗ {\displaystyle x^{*}} is a global minimizer of f {\displaystyle f} over F {\displaystyle F} . Let E {\displaystyleKovner–Besicovitch measure (467 words) [view diff] exact match in snippet view article find links to article
Samoilovitch Besicovitch and by István Fáry, who also proved that every minimizer of the Kovner–Besicovitch measure is a triangle. Estermann measure, aWehrl entropy (2,291 words) [view diff] exact match in snippet view article find links to article
onto any coherent state. In 1991 E. Carlen proved the uniqueness of the minimizer, i.e. the minimum of the Wehrl entropy occurs only when the state is aFisher consistency (765 words) [view diff] exact match in snippet view article find links to article
Fisher consistent. A loss function is Fisher consistent if the population minimizer of the risk leads to the Bayes optimal decision rule. Fisher, R.A. (1922)Conjugate gradient method (7,323 words) [view diff] exact match in snippet view article find links to article
This metric comes from the fact that the solution x∗ is also the unique minimizer of the following quadratic function f ( x ) = 1 2 x T A x − x T b , xPeristimulus time histogram (412 words) [view diff] exact match in snippet view article find links to article
optimal bin size (assuming an underlying Poisson point process) Δ is a minimizer of the formula, (2k-v)/Δ2, where k and v are mean and variance of ki.Landweber iteration (989 words) [view diff] exact match in snippet view article find links to article
generate a sequence f ( x k ) {\displaystyle f(x_{k})} that converges to a minimizer of f whenever f is convex and the stepsize τ {\displaystyle \tau } isMulti-task learning (4,771 words) [view diff] exact match in snippet view article find links to article
{\displaystyle (C_{R},A_{R})} is a minimizer for R then ( C R A R † , A R ) {\displaystyle (C_{R}A_{R}^{\dagger },A_{R})} is a minimizer for Q. R may be solved byWolfe conditions (1,097 words) [view diff] exact match in snippet view article find links to article
conditions can result in a value for the step length that is not close to a minimizer of φ {\displaystyle \varphi } . If we modify the curvature condition toRopelength (754 words) [view diff] exact match in snippet view article find links to article
ground. It has been shown that for each link type there is a ropelength minimizer although it may only be of differentiability class C 1 {\displaystyleBayesian interpretation of kernel regularization (2,737 words) [view diff] exact match in snippet view article find links to article
measuring the complexity of the function. The estimator is derived as the minimizer of the regularized functional where f ∈ H k {\displaystyle f\in {\mathcalGeometric mean (4,871 words) [view diff] exact match in snippet view article find links to article
a n {\displaystyle a_{1},\ldots ,a_{n}} , the geometric mean is the minimizer of f ( a ) = ∑ i = 1 n ( log ( a i ) − log ( a ) ) 2 = ∑ i = 1 n (Mati Shemoelof (3,088 words) [view diff] exact match in snippet view article find links to article
lecturer of Israeli culture at Minshar School of Art [he] in Tel Aviv. Scar Minimizer, Gwanim publishers, 2001 (A poetry book). What is born from the fallenBundle adjustment (1,042 words) [view diff] exact match in snippet view article find links to article
Powell's dogleg method. LGPL. ceres-solver: A Nonlinear Least Squares Minimizer. BSD license. g2o: General Graph Optimization (C++) - framework with solversDance Dance Revolution Hottest Party 3 (382 words) [view diff] exact match in snippet view article find links to article
unlocked to be used in game. New gimmicks include the Sudden Arrow, the Minimizer and Normalizer, and Diagonal Arrows. The songs in red are "boss songsSupport vector machine (8,914 words) [view diff] exact match in snippet view article find links to article
hypotheses being considered is small enough, the minimizer of the empirical risk will closely approximate the minimizer of the expected risk as n {\displaystyleCompressed sensing (5,864 words) [view diff] exact match in snippet view article find links to article
, V {\displaystyle d_{h},d_{v},H,V} and then finding the approximate minimizer of L 1 {\displaystyle L_{1}} with respect to these variables. The LagrangianAdaBoost (4,886 words) [view diff] exact match in snippet view article find links to article
positive class. Friedman, Hastie and Tibshirani derive an analytical minimizer for e − y ( F t − 1 ( x ) + f t ( p ( x ) ) ) {\displaystyleConditional expectation (5,959 words) [view diff] exact match in snippet view article find links to article
so that any set not intersecting it has measure 0. The existence of a minimizer for min g E ( ( X − g ( Y ) ) 2 ) {\displaystyle \min _{g}\operatornameLloyd's algorithm (1,919 words) [view diff] exact match in snippet view article find links to article
more significantly from Euclidean, it may be appropriate to choose the minimizer of average squared distance as the representative point, in place of thePseudo-Boolean function (1,139 words) [view diff] exact match in snippet view article find links to article
partial assignment of the variables, indicating some of the values of a minimizer to the polynomial. Several different methods of obtaining lower boundsShephard's lemma (722 words) [view diff] exact match in snippet view article find links to article
{L}}}{\partial p_{1}}}=x_{1}^{h}} where x 1 h {\displaystyle x_{1}^{h}} is the minimizer (i.e. the Hicksian demand function for good 1). This completes the proofTransportation theory (mathematics) (4,422 words) [view diff] exact match in snippet view article
y) = α|x − y|2), then the "many small moves" option becomes the unique minimizer. Note that the above cost functions consider only the horizontal distanceAugmented Lagrangian method (1,934 words) [view diff] exact match in snippet view article find links to article
the) function. The goal is to have an estimate of the optimal parameter (minimizer) per new sample. With some modifications, ADMM can be used for stochasticInverse problem for Lagrangian mechanics (1,507 words) [view diff] exact match in snippet view article find links to article
trajectory that the system determined by L will actually follow must be a minimizer of the action functional S satisfying the boundary conditions u(0) = x0Coordinate descent (1,649 words) [view diff] exact match in snippet view article find links to article
step size can be chosen in various ways, e.g., by solving for the exact minimizer of f(xi) = F(x) (i.e., F with all variables but xi fixed), or by traditionalCaustic (optics) (2,831 words) [view diff] exact match in snippet view article
Considering all x {\displaystyle x} vertices on the surface, finding the minimizer ω m i n {\displaystyle \omega _{min}} of the following convex functionGeodesic (3,684 words) [view diff] exact match in snippet view article find links to article
geometry, a geodesic is a curve which is everywhere locally a distance minimizer. More precisely, a curve γ : I → M from an interval I of the reals toCarathéodory function (664 words) [view diff] exact match in snippet view article find links to article
the calculus of variation are formulated in the following way: find the minimizer of the functional F : W 1 , p ( Ω ; R m ) → R ∪ { + ∞ } {\displaystyleMoreau envelope (665 words) [view diff] exact match in snippet view article find links to article
then x 0 := v − λ p 0 {\displaystyle x_{0}:=v-\lambda p_{0}} is the minimizer in the primal formulation and vice versa. By Hopf–Lax formula, the MoreauFree boundary problem (1,642 words) [view diff] exact match in snippet view article find links to article
{\displaystyle n} real variables over a convex set C {\displaystyle C} ; the minimizer x {\displaystyle x} is characterized by the condition ∇ F ( x ) ⋅ ( yFoundation (cosmetics) (3,817 words) [view diff] exact match in snippet view article
sea sponges. Examples: Erno Laszlo Normalizer Shake-It, Clinique Pore Minimizer. Powder-based began with Max Factor's Pan Cake, using powder – usuallyCS23D (1,141 words) [view diff] exact match in snippet view article find links to article
optimization: Model optimization in CS23D is done by a torsion-angle-based minimizer GAfolder (Genetic Algorithm folder) that uses a genetic algorithm to sampleMCS algorithm (666 words) [view diff] exact match in snippet view article find links to article
the objective function is continuous in the neighbourhood of the global minimizer. This follows from the fact that any box will become arbitrarily smallMultidimensional scaling (2,842 words) [view diff] exact match in snippet view article find links to article
( x 1 , … , x M ) {\displaystyle (x_{1},\ldots ,x_{M})} is found as a minimizer of some cost function, for example, a r g m i n x 1 , … , x M ∑ i < jIterative rational Krylov algorithm (1,733 words) [view diff] exact match in snippet view article find links to article
non-convex; which implies that usually it will be difficult to find a global minimizer. The following first order necessary optimality condition for the H 2Oracle complexity (optimization) (1,196 words) [view diff] exact match in snippet view article
{\displaystyle B} , where x ∗ {\displaystyle \mathbf {x} ^{*}} is some global minimizer of the objective function. Agarwal, Alekh; Bartlett, Peter; RavikumarMacHack (1,637 words) [view diff] exact match in snippet view article find links to article
Lightnin' Dude, You're Getting a DogCow VIMim iBacklight Mr Lo Dock&Roll Load Minimizer Billy Carnage 1.0 OpenGirL Project Mayhem Alarm Clock The Cat's Meow somersaultShrink ray (2,295 words) [view diff] exact match in snippet view article find links to article
Mutant Ninja Turtles animated TV series, Krang uses a remote-controlled minimizer device with a shrink ray to shrink down US Army bases, preventing themConstant scalar curvature Kähler metric (1,035 words) [view diff] exact match in snippet view article find links to article
\omega )} . A Kähler metric ω {\displaystyle \omega } is extremal, a minimizer of the Calabi functional, if and only if the scalar curvature S ( ω )MINUIT (391 words) [view diff] exact match in snippet view article find links to article
Long Writeup. D506. Archived from the original on 2008-05-26. "Which Minimizer to Use". "Literature search for papers mentioning MINUIT". Inspire -High-EnergyPotts model (3,624 words) [view diff] exact match in snippet view article find links to article
To recover g from the noisy observation vector f in Rn, one seeks a minimizer of the corresponding inverse problem, the Lp-Potts functional Pγ(u) whichExponential distribution (6,567 words) [view diff] exact match in snippet view article find links to article
}}_{\text{mle}}^{*}={\widehat {\lambda }}_{\text{mle}}-B.} An approximate minimizer of mean squared error (see also: bias–variance tradeoff) can be foundList of bra designs (3,153 words) [view diff] exact match in snippet view article find links to article
entire lower torso instead of at bust level as with narrow-band bras. Minimizer: Designed to de-emphasize the bosom, it compresses and flattens the breastsGuy David (mathematician) (917 words) [view diff] exact match in snippet view article
Press, Oxford 1997 with Alexis Bonnet, Cracktip is a global Mumford-Shah minimizer, Astérisque 274, 2001 Wavelets and singular integrals on curves and surfacesJensen–Shannon divergence (2,299 words) [view diff] exact match in snippet view article find links to article
C* of a finite set of probability distributions can be defined as the minimizer of the average sum of the Jensen-Shannon divergences between a probabilityPreconditioner (3,511 words) [view diff] exact match in snippet view article find links to article
matrix, is the smallest eigenvalue of A {\displaystyle A} , while the minimizer is the corresponding eigenvector. Since ∇ ρ ( x ) {\displaystyle \nablaP-Laplacian (635 words) [view diff] exact match in snippet view article find links to article
domain Ω ⊂ R N {\displaystyle \Omega \subset \mathbb {R} ^{N}} is the minimizer of the energy functional J ( u ) = 1 p ∫ Ω | ∇ u | p d x − ∫ Ω f u d xStochastic approximation (4,148 words) [view diff] exact match in snippet view article find links to article
)} is twice continuously differentiable, and strongly convex, and the minimizer of f ( θ ) {\textstyle f(\theta )} belongs to the interior of Θ {\textstyleEuler–Lagrange equation (4,839 words) [view diff] exact match in snippet view article find links to article
must either increase J {\displaystyle J} (if f {\displaystyle f} is a minimizer) or decrease J {\displaystyle J} (if f {\displaystyle f} is a maximizer)Truth table (3,532 words) [view diff] exact match in snippet view article find links to article
portal Boolean domain Boolean-valued function Espresso heuristic logic minimizer Excitation table State-transition table First-order logic Functional completenessStep detection (1,939 words) [view diff] exact match in snippet view article find links to article
controls the tradeoff between regularity and data fidelity. Since the minimizer u ∗ {\displaystyle u^{*}} is piecewise constant the steps are given byLocality-sensitive hashing (4,012 words) [view diff] exact match in snippet view article find links to article
) {\displaystyle h(A)=h(B)} corresponds exactly to the event that the minimizer of π over A ∪ B {\displaystyle A\cup B} lies inside A ∩ B {\displaystyleProportional hazards model (5,526 words) [view diff] exact match in snippet view article find links to article
The Lasso estimator of the regression parameter β is defined as the minimizer of the opposite of the Cox partial log-likelihood under an L1-norm typeGeometric median (2,830 words) [view diff] exact match in snippet view article find links to article
^{n}} , the geometric median is defined as the sum of the L2 distances minimizer a r g m i n y ∈ R n ∑ i = 1 m ‖ x i − y ‖ 2 {\displaystyle {\undersetEpi-convergence (1,169 words) [view diff] exact match in snippet view article find links to article
minimizers of f n {\displaystyle f_{n}} , then x {\displaystyle x} is a minimizer of f {\displaystyle f} . In this sense, lim n → ∞ argmin f n ⊆ argminRemez algorithm (2,584 words) [view diff] exact match in snippet view article find links to article
in each N-region x i {\displaystyle x_{i}} is replaced with the local minimizer. (Expect x ¯ 0 {\displaystyle {\bar {x}}_{0}} at A, the x ¯ i {\displaystyleSchur complement (2,896 words) [view diff] exact match in snippet view article find links to article
0.} The first and third statements can be derived by considering the minimizer of the quantity u T A u + 2 v T B T u + v T C v , {\displaystyle u^{\mathrmCircle packing theorem (3,758 words) [view diff] exact match in snippet view article find links to article
Yves Colin de Verdière proved the existence of the circle packing as a minimizer of a convex function on a certain configuration space. The circle packingGeometry processing (4,211 words) [view diff] exact match in snippet view article find links to article
field defined by the samples. As a variational problem, one can view the minimizer χ {\displaystyle \chi } as a solution of Poisson's equation. After obtainingLadyzhenskaya–Babuška–Brezzi condition (1,341 words) [view diff] exact match in snippet view article find links to article
qualification (specifically, the LICQ) conditions necessary to guarantee that a minimizer of the constrained optimization problem also satisfies the first-orderVariational Bayesian methods (11,212 words) [view diff] exact match in snippet view article find links to article
{\mathcal {C}}}D_{\mathrm {KL} }(Q\parallel P).} In this case, the global minimizer Q ∗ ( Z ) = q ∗ ( Z 1 ∣ Z 2 ) q ∗ ( Z 2 ) = q ∗ ( Z 2 ∣ Z 1 ) q ∗ ( ZRandom matrix (7,078 words) [view diff] exact match in snippet view article find links to article
be the space of one-dimensional probability measures and consider the minimizer E Q = inf ν ∈ M 1 ( R ) − ∫ ∫ x ≠ y ln | x − y | d ν ( x ) d ν ( y )Positive-definite kernel (4,244 words) [view diff] exact match in snippet view article find links to article
because of the celebrated representer theorem which states that every minimizer function in an RKHS can be written as a linear combination of the kernelProximal gradient methods for learning (3,193 words) [view diff] exact match in snippet view article find links to article
proximity operator is important because x ∗ {\displaystyle x^{*}} is a minimizer to the problem min x ∈ H F ( x ) + R ( x ) {\displaystyle \min _{x\inIkuhiko Hata (4,443 words) [view diff] exact match in snippet view article find links to article
Massacre deniers. By contrast, Takuji Kimura has criticized Hata as a "minimizer" of the atrocity, while still acknowledging that his book on the massacreRadial basis function network (4,958 words) [view diff] exact match in snippet view article find links to article
multi-layer perceptron (MLP) networks, RBF networks have an explicit minimizer (when the centers are fixed). Another possible training algorithm is gradientLow-rank approximation (3,837 words) [view diff] exact match in snippet view article find links to article
{D}}\|_{\text{F}}={\sqrt {\sigma _{r+1}^{2}+\cdots +\sigma _{m}^{2}}}.} The minimizer D ^ ∗ {\displaystyle {\widehat {D}}^{*}} is unique if and only if σ rBregman divergence (4,433 words) [view diff] exact match in snippet view article find links to article
{\displaystyle D_{F}(p,q)=F(p)+F^{*}(q^{*})-\langle p,q^{*}\rangle } Mean as minimizer: A key result about Bregman divergences is that, given a random vectorProjective variety (7,530 words) [view diff] exact match in snippet view article find links to article
projective space. A complex projective variety can be characterized as a minimizer of the volume (in a sense). Let X be a projective variety and L a lineCrash Bandicoot (character) (7,525 words) [view diff] exact match in snippet view article
device built by Coco that will reverse the effects of Cortex's Planetary Minimizer, which has shrunken the Earth to the size of a grapefruit.[citation needed]Generative adversarial network (14,084 words) [view diff] exact match in snippet view article find links to article
controllers in a game theoretic sense, by alternating the iterations between a minimizer policy, the controller, and a maximizer policy, the disturbance. In 2017Banach–Alaoglu theorem (8,306 words) [view diff] exact match in snippet view article find links to article
{\displaystyle x,} and then establish that x {\displaystyle x} is a minimizer of F . {\displaystyle F.} The last step often requires F {\displaystyleIterative proportional fitting (3,464 words) [view diff] exact match in snippet view article find links to article
Bregman. (Deming and Stephan proposed IPFP as an algorithm leading to a minimizer of the Pearson X-squared statistic, which Stephan later reported it doesImage segmentation (9,656 words) [view diff] exact match in snippet view article find links to article
\operatorname {argmin} _{u}\gamma \|\nabla u\|_{0}+\int (u-f)^{2}\,dx.} A minimizer u ∗ {\displaystyle u^{*}} is a piecewise constant image which has an optimalForce field (chemistry) (9,838 words) [view diff] exact match in snippet view article
energy refinement of polypeptides and proteins using a Newton–Raphson minimizer in torsion angle space". Biopolymers. 29 (4–5): 679–94. doi:10.1002/bipCausal fermion systems (5,050 words) [view diff] exact match in snippet view article find links to article
geometric structures give rise to a proposal for a quantum geometry. A minimizer ρ {\displaystyle \rho } of the causal action satisfies corresponding Euler–LagrangeTensor rank decomposition (6,308 words) [view diff] exact match in snippet view article find links to article
exist because the set over which one optimizes is not closed. As such, a minimizer may not exist, even though an infimum would exist. In particular, it isNegative utilitarianism (6,516 words) [view diff] exact match in snippet view article find links to article
replies, I am also a little puzzled by Watkin's remark that the pain minimizer would have to destroy the very possibility of life. If the sentient formsKaczmarz method (4,520 words) [view diff] exact match in snippet view article find links to article
stochastic gradient minimizes the Euclidean distance from the unknown(!) minimizer of f {\displaystyle f} , namely, from x ∗ = A − 1 b . {\displaystyle x^{*}=A^{-1}bCalculus on finite weighted graphs (3,904 words) [view diff] exact match in snippet view article find links to article
\cdot )\|_{\ell _{p}}^{p}.} The necessary optimality conditions for a minimizer of the energy functional E {\displaystyle E} lead to the following definitionList of Annoying Orange episodes (133 words) [view diff] exact match in snippet view article find links to article
size of crumbs with his new invention, the Shrinky-Dinky Fruitilizer Minimizer. 198 25 "Snack Attack" 3:24 May 24, 2013 (2013-05-24) 40.31 Orange, Pear