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The Inverse Classification Problem
Journal of Computer Science and Technology, 2010In this paper, we examine an emerging variation of the classification problem, which is known as the inverse classification problem. In this problem, we determine the features to be used to create a record which will result in a desired class label. Such an approach is useful in applications in which it is an objective to determine a set of actions to ...
Charu C. Aggarwal +2 more
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2007
In many aspects, cryptanalyses of pairing based cryptography consider protocol level security and take difficulties of primitives for granted. In this survey, we consider pairing inversion. At the time this manuscript was written(April 2007), to the best of the author's knowledge, there are neither known feasible algorithms for pairing inversions nor ...
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In many aspects, cryptanalyses of pairing based cryptography consider protocol level security and take difficulties of primitives for granted. In this survey, we consider pairing inversion. At the time this manuscript was written(April 2007), to the best of the author's knowledge, there are neither known feasible algorithms for pairing inversions nor ...
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The American Mathematical Monthly, 2020
For a family of parallel incoming light rays, we consider the problem of finding a reflecting curve Γ that has as its caustic a given curve γ.
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For a family of parallel incoming light rays, we consider the problem of finding a reflecting curve Γ that has as its caustic a given curve γ.
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The Anatomy of Inverse Problems
GEOPHYSICS, 2000A major task of geophysics is to make quantitative statements about the interior of the earth. For this reason, inverse problems are an important area of geophysical research and industrial application. Figure 1 shows how many texts present inverse problems.
Scales, J.A., Snieder, R.
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Biopolymers, 1973
AbstractThe DNA distribution function for a given section of DNA of a given length depends on the nucleotide composition. It can be expressed in terms of other functions, such as specific heat, optical density, etc., if they are measured in the vicinity of the DNA melting point.
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AbstractThe DNA distribution function for a given section of DNA of a given length depends on the nucleotide composition. It can be expressed in terms of other functions, such as specific heat, optical density, etc., if they are measured in the vicinity of the DNA melting point.
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Inverse problems as statistics
Inverse Problems, 2002Summary: What mathematicians, scientists, engineers and statisticians mean by `inverse problem' differs. For a statistician, an inverse problem is an inference or estimation problem. The data are finite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is infinite-dimensional, as it is in ...
Evans, Steven N., Stark, Philip B.
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The Inverse Kinematic Problems
2017The problem of recovering the sound speed (or index of refraction) from travel time measurements is an important issue in determining the substructure of the Earth.
Alemdar Hasanov Hasanoğlu +1 more
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1998
Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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Journal of the Optical Society of America A, 2000
We apply functional analysis to the scattered electromagnetic field of a particle with spherical symmetry to obtain a pair of integral transforms for converting the Mie-scattering amplitudes S perpendicular (theta) and S parallel (theta) into the Mie coefficients an and bn.
I K, Ludlow, J, Everitt
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We apply functional analysis to the scattered electromagnetic field of a particle with spherical symmetry to obtain a pair of integral transforms for converting the Mie-scattering amplitudes S perpendicular (theta) and S parallel (theta) into the Mie coefficients an and bn.
I K, Ludlow, J, Everitt
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Journal of Mathematical Physics, 1971
Let UK(t) be a one-parameter operator family of positive type in a Hilbert space K and U(t) its minimal unitary dilation with infinitesimal generator H. If UK(t) is a contractive semigroup, then H is not positive. If in addition UK(t)→0 for t → ∞, then there exists a state φ∈K on which H is not defined.
Horwitz, L. P. +2 more
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Let UK(t) be a one-parameter operator family of positive type in a Hilbert space K and U(t) its minimal unitary dilation with infinitesimal generator H. If UK(t) is a contractive semigroup, then H is not positive. If in addition UK(t)→0 for t → ∞, then there exists a state φ∈K on which H is not defined.
Horwitz, L. P. +2 more
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