1 normの例文

• Finding the candidate with the smallest L ^ 1 norm can be expressed relatively easily as a linear program, for which efficient solution methods already exist.
• By the Fubini Tonelli theorem, the convolution is submultiplicative with respect to the L ^ 1 norm, making L ^ 1 ( G ) a Banach algebra.
• The absolute difference is used to define other quantities including the relative difference, the L 1 norm used in taxicab geometry, and graceful labelings in graph theory.
• A computationally more feasible norm that favors sparser solutions is the \ ell _ 1 norm; this has been shown to still favor sparser solutions and is additionally convex.
• Elastic net regularization uses a penalty term that is a combination of the " L " 1 norm and the " L " 2 norm of the parameter vector.
• As an example, the ideal low-pass filter with impulse response equal to a sinc function is not BIBO stable, because the sinc function does not have a finite L 1 norm.
• If " ? " is an arbitrary integrable function, it may be approximated in the " L " 1 norm by a compactly supported smooth function " g ".
• An activity which involves the processing of radionuclides of natural terrestrial or cosmic origin for their radioactive, fissile or fertile properties is not a type 1 NORM industrial activity or a type 2 NORM industrial activity.
• :the space of continuous real-valued functions defined on the unit interval, but equip " X " with the " L " 1 norm and " Y " with the supremum norm.
• From the figure, one can see that the constraint region defined by the \ ell ^ 1 norm is a square rotated so that its corners lie on the axes ( in general a cross-polytope ), while the region defined by the \ ell ^ 2 norm is a circle ( in general an n-sphere ), which is invariant and, therefore, has no corners.