In this paper, two inverse problems of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. For the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and bounda...

We present the first adaptive strategy for active learning in the setting of classification with smooth decision boundary. The problem of adaptivity (to unknown distributional parameters) has remained opened since the seminal work of Castro and Nowak (2007), which first established (active learning) rates for this setting. While some recent advances on this problem establish adaptive rates in t...

This paper proposes adaptable boundary sets as a new version-space representation. It is shown that adaptable boundary sets can be adjusted to a version-space representation between boundary sets [5, 6, 7] and instance-based boundary sets [11, 12, 13]. This allows the choice of proper version-space representations to be realised dynamically during the learning phase.

This paper proposes a post-processing technique for reducing tile boundary artifacts which occur in an image when it is compressed at low bit rate using JPEG2000 standard. Symmetric extension and difference in quantization accuracy between the tiles of the image are the main factors behind the tile boundary artifacts in JPEG2000 compressed images. In this paper, we have analyzed the effect of q...

Deep networks have recently been shown to be vulnerable to universal perturbations: there exist very small image-agnostic perturbations that cause most natural images to be misclassified by such classifiers. In this paper, we propose a quantitative analysis of the robustness of classifiers to universal perturbations, and draw a formal link between the robustness to universal perturbations, and ...

We describe a method for constructing rational quadratic patch boundary curves for scattered data in B3. The method has quadric boundary precision; if the given point and normal data are extracted from a quadric, then the boundary curves will lie on this quad&. Each boundary curve is a conic section represented in the rational BCzier representation.

in this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. the conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. this study evaluates the advantages of using the integral form of the equations in the...