Abstract We find that the requirement of model interpretations to be faithful is vague and incomplete. With interpretation by textual highlights as a case study, we present several failure cases. Borrowing concepts from social science, identify problem misalignment between causal chain decisions (causal attribution) attribution human behavior (social attribution). reformulate faithfulness an ac...

Abstract This paper proposes a fast and accurate computational framework for scale-aware image filters. Our is based on accurately approximating $$L^{1}$$ L 1 Gaussian convolution with respect to transformed pixel domain representing geodesic distance guidance manifold ...

A triple system of order v ≥ 3 and index λ is faithfully enclosed in a triple system of order w ≥ v and index μ ≥ λ when the triples induced on some v elements of the triple system of order w are precisely those from the triple system of order v. When λ = μ, faithful enclosing is embedding; when λ = 0, faithful enclosing asks for an independent set of size v in a triple system of order w. When ...

We show that if $R$ is a ring with an arbitrary idempotent $e$ such that $eRe$ and $(1-e)R(1-e)$ are both strongly nil-clean rings‎, ‎then $R/J(R)$ is nil-clean‎. ‎In particular‎, ‎under certain additional circumstances‎, ‎$R$ is also nil-clean‎. ‎These results somewhat improves on achievements due to Diesl in J‎. ‎Algebra (2013) and to Koc{s}an-Wang-Zhou in J‎. ‎Pure Appl‎. ‎Algebra (2016)‎. ‎...

‎The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures‎. ‎In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups‎. ‎Then we show that in strongly $H_{v}$-groups $beta=beta^{ast}$‎. ‎Also we express $theta$-hyperoperation and investigat...

the pure life (hayat al-tayyibah) is the real life of man which the worldly life with all its vast scope and the otherworldly life with its eternity and importance are the manifestations of this real life; this original and real life is a reality beyond the outward life and can be achieved in this world. the pure life is originated from high levels of human spirit; the faithful man in his subli...

Gravitational waves from inspiralling compact binaries can be reliably extracted from a noisy detector output only if the template used in the detection is a faithful representation of the true signal. In this article we suggest a new approach to constructing faithful signal models.