Results 1  10
of
851
Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms
 Evolutionary Computation
, 1994
"... In trying to solve multiobjective optimization problems, many traditional methods scalarize the objective vector into a single objective. In those cases, the obtained solution is highly sensitive to the weight vector used in the scalarization process and demands the user to have knowledge about t ..."
Abstract

Cited by 539 (5 self)
 Add to MetaCart
In trying to solve multiobjective optimization problems, many traditional methods scalarize the objective vector into a single objective. In those cases, the obtained solution is highly sensitive to the weight vector used in the scalarization process and demands the user to have knowledge about
Image denoising using a scale mixture of Gaussians in the wavelet domain
 IEEE TRANS IMAGE PROCESSING
, 2003
"... We describe a method for removing noise from digital images, based on a statistical model of the coefficients of an overcomplete multiscale oriented basis. Neighborhoods of coefficients at adjacent positions and scales are modeled as the product of two independent random variables: a Gaussian vecto ..."
Abstract

Cited by 513 (17 self)
 Add to MetaCart
vector and a hidden positive scalar multiplier. The latter modulates the local variance of the coefficients in the neighborhood, and is thus able to account for the empirically observed correlation between the coefficient amplitudes. Under this model, the Bayesian least squares estimate of each
Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score
, 2000
"... We are interested in estimating the average effect of a binary treatment on a scalar outcome. If assignment to the treatment is independent of the potential outcomes given pretreatment variables, biases associated with simple treatmentcontrol average comparisons can be removed by adjusting for diff ..."
Abstract

Cited by 416 (35 self)
 Add to MetaCart
We are interested in estimating the average effect of a binary treatment on a scalar outcome. If assignment to the treatment is independent of the potential outcomes given pretreatment variables, biases associated with simple treatmentcontrol average comparisons can be removed by adjusting
A Niched Pareto Genetic Algorithm for Multiobjective Optimization
 IN PROCEEDINGS OF THE FIRST IEEE CONFERENCE ON EVOLUTIONARY COMPUTATION, IEEE WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE
, 1994
"... Many, if not most, optimization problems have multiple objectives. Historically, multiple objectives have been combined ad hoc to form a scalar objective function, usually through a linear combination (weighted sum) of the multiple attributes, or by turning objectives into constraints. The genetic a ..."
Abstract

Cited by 407 (6 self)
 Add to MetaCart
Many, if not most, optimization problems have multiple objectives. Historically, multiple objectives have been combined ad hoc to form a scalar objective function, usually through a linear combination (weighted sum) of the multiple attributes, or by turning objectives into constraints. The genetic
SCALAR AND VECTOR MUCKENHOUPT WEIGHTS
"... Abstract. We inspect the relationship between the Ap,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular we will show if we are considering a normvalued function ρ(·) such that, uniformly in all nonzero vectors x, ρ(·)(x) p ∈ Ap and ρ∗ ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Abstract. We inspect the relationship between the Ap,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular we will show if we are considering a normvalued function ρ(·) such that, uniformly in all nonzero vectors x, ρ(·)(x) p ∈ Ap and ρ
The dS/CFT correspondence
 JHEP
, 2001
"... A holographic duality is proposed relating quantum gravity on dSD (Ddimensional de Sitter space) to conformal field theory on a single SD−1 ((D1)sphere), in which bulk de Sitter correlators with points on the boundary are related to CFT correlators on the sphere, and points on I + (the future bou ..."
Abstract

Cited by 196 (7 self)
 Add to MetaCart
functions of a massive scalar field. In general the dual CFT may be nonunitary and (if for example there are sufficently massive stable scalars) contain complex conformal weights. We also consider the physical region O − of dS3 corresponding to the causal past of a timelike observer, whose holographic dual
Weighted projective embeddings, stability of orbifolds and constant scalar curvature Kähler metrics
, 2009
"... We embed polarised orbifolds with cyclic stabiliser groups into weighted projective space via a weighted form of Kodaira embedding. Dividing by the (nonreductive) automorphisms of weighted projective space then formally gives a moduli space of orbifolds. We show how to express this as a reductive q ..."
Abstract

Cited by 44 (2 self)
 Add to MetaCart
We embed polarised orbifolds with cyclic stabiliser groups into weighted projective space via a weighted form of Kodaira embedding. Dividing by the (nonreductive) automorphisms of weighted projective space then formally gives a moduli space of orbifolds. We show how to express this as a reductive
Recognizing People by Their Gait: The Shape of Motion
, 1996
"... > y)). Scaleindependent scalar features of each flow, based on moments of the moving point weighted by u, v,or(u, v), characterize the spatial distribution of the flow. We then analyze the periodic structure of these sequences of scalars. The scalar sequences for an image sequenc ..."
Abstract

Cited by 173 (8 self)
 Add to MetaCart
> y)). Scaleindependent scalar features of each flow, based on moments of the moving point weighted by u, v,or(u, v), characterize the spatial distribution of the flow. We then analyze the periodic structure of these sequences of scalars. The scalar sequences for an image
On spacetimes with constant scalar invariants
 Class. Quantum Grav
"... Abstract. We study Lorentzian spacetimes for which all scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetimes). We obtain a number of general results in arbitrary dimensions. We study and construct warped product CSI spacetimes and higherdim ..."
Abstract

Cited by 23 (2 self)
 Add to MetaCart
Abstract. We study Lorentzian spacetimes for which all scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetimes). We obtain a number of general results in arbitrary dimensions. We study and construct warped product CSI spacetimes and higher
Fusion Filters Weighted by Scalars and Matrices for Linear Systems
"... Abstract—An optimal meansquare fusion formulas with scalar and matrix weights are presented. The relationship between them is established. The fusion formulas are compared on the continuoustime filtering problem. The basic differential equation for crosscovariance of the local errors being the ke ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
Abstract—An optimal meansquare fusion formulas with scalar and matrix weights are presented. The relationship between them is established. The fusion formulas are compared on the continuoustime filtering problem. The basic differential equation for crosscovariance of the local errors being
Results 1  10
of
851