The Adaptive Sampling Revisited

The problem of estimating the number $n$ of distinct keys of a large collection of $N$ data is well known in computer science. A classical algorithm is the adaptive sampling (AS). $n$ can be estimated by $R.2^D$, where $R$ is the final bucket (cache) size and $D$ is the final depth at the end of the process. Several new interesting questions can be asked about AS (some of them were suggested by P.Flajolet and popularized by J.Lumbroso). The distribution of $W=\log (R2^D/n)$ is known, we rederive this distribution in a simpler way. We provide new results on the moments of $D$ and $W$. We also analyze the final cache size $R$ distribution. We consider colored keys: assume that among the $n$ distinct keys, $n_C$ do have color $C$. We show how to estimate $p=\frac{n_C}{n}$. We also study colored keys with some multiplicity given by some distribution function. We want to estimate mean an variance of this distribution. Finally, we consider the case where neither colors nor multiplicities are known. There we want to estimate the related parameters. An appendix is devoted to the case where the hashing function provides bits with probability different from $1/2$

VOSpace: a Prototype for Grid 2.0

As Grid 1.0 was characterized by distributed computation, so Grid 2.0 will be characterized by distributed data and the infrastructure needed to support and exploit it: the emerging success of Amazon S3 is already testimony to this. VOSpace is the IVOA interface standard for accessing distributed data. Although the base definition (VOSpace 1.0) only relates to flat, unconnected data stores, subsequent versions will add additional layers of functionality. In this paper, we consider how incorporating popular web concepts such as folksonomies (tagging), social networking, and data-spaces could lead to a much richer data environment than provided by a traditional collection of networked data stores

Reslizumab in patients with inadequately controlled late-onset asthma and elevated blood eosinophils

INTRODUCTION: Asthma with adult onset and elevated blood eosinophils is a difficult-to-treat subgroup. This post hoc analysis evaluated reslizumab, an anti-interleukin-5 monoclonal antibody, in patients with late-onset eosinophilic asthma. METHODS: Data from two 52-week placebo-controlled trials of reslizumab IV 3 mg/kg every 4 weeks in patients aged 12-75 years with inadequately controlled asthma, ≥1 asthma exacerbation within 12 months, and screening blood eosinophils ≥400/μL (NCT01287039/NCT01285323) were stratified by age of asthma onset (<40 or ≥40 years). Annual clinical asthma exacerbation rates, change in lung function, and patient-reported outcomes were analyzed. RESULTS: 273 patients with late-onset asthma (placebo, n = 130; reslizumab, n = 143) and 658 with early-onset asthma (placebo, n = 336; reslizumab, n = 322) were included. Baseline demographics were similar between groups. The interaction between age at onset of asthma and effect of reslizumab on asthma exacerbations was statistically significant (p = 0.0083). Compared with placebo, reslizumab produced a 75% relative reduction in asthma exacerbations in patients with late-onset asthma (rate ratio [RR] 0.25; 95% confidence interval [CI], 0.16, 0.40), substantially larger than the reduction in earlier onset patients (RR 0.58; 95% CI, 0.44, 0.76). Similar findings were observed for other measures of asthma, including forced expiratory volume in 1 s (FEV1). The adverse event profile of reslizumab was similar in patients with early- or late-onset asthma. CONCLUSIONS: Compared with placebo, reslizumab produced larger reductions in asthma exacerbations and larger improvements in lung function in patients with late versus early-onset asthma

Geometric Wavelet Scattering Networks on Compact Riemannian Manifolds

The Euclidean scattering transform was introduced nearly a decade ago to improve the mathematical understanding of convolutional neural networks. Inspired by recent interest in geometric deep learning, which aims to generalize convolutional neural networks to manifold and graph-structured domains, we define a geometric scattering transform on manifolds. Similar to the Euclidean scattering transform, the geometric scattering transform is based on a cascade of wavelet filters and pointwise nonlinearities. It is invariant to local isometries and stable to certain types of diffeomorphisms. Empirical results demonstrate its utility on several geometric learning tasks. Our results generalize the deformation stability and local translation invariance of Euclidean scattering, and demonstrate the importance of linking the used filter structures to the underlying geometry of the data.Comment: 35 pages; 3 figures; 2 tables; v3: Revisions based on reviewer comment

IVOA Recommendation: IVOA Support Interfaces

This document describes the minimum interface that a (SOAP- or REST-based) web service requires to participate in the IVOA. Note that this is not required of standard VO services developed prior to this specification, although uptake is strongly encouraged on any subsequent revision. All new standard VO services, however, must feature a VOSI-compliant interface. This document has been produced by the Grid and Web Services Working Group. It has been reviewed by IVOA Members and other interested parties, and has been endorsed by the IVOA Executive Committee as an IVOA Recommendation. It is a stable document and may be used as reference material or cited as a normative reference from another document. IVOA's role in making the Recommendation is to draw attention to the specification and to promote its widespread deployment. This enhances the functionality and interoperability inside the Astronomical Community

Translating Hebrew into Greek : the discursive hermeneutics of Emmanuel Levinas\u27s Talmudic readings

This dissertation examines Emmanuel Levinas’s Talmudic readings and the hermeneutics employed to translate the Talmud into modern language. Levinas claims to be translating “Hebrew” into “Greek” by rendering into a universal, philosophical language (“Greek”) the ethical structure of subjectivity (“Hebrew”) within the Talmud. Since they investigate the structure of subjectivity, extensive use of his philosophical works and the influential works of others are used to analyze his Talmudic readings. Chapter One places Levinas’s project against the background of the Talmud, Judaic tradition, and projects like Rudolf Bultmann’s New Testament readings and Thorleif Boman’s comparative study of Greek and Hebrew. A brief abstract of Levinas’s philosophy emphasizing his understanding of the hermeneutics of subjectivity is given. Chapters Two and Three examine Husserl and Heidegger’s formative influences, especially their hermeneutics of everyday experience, wherein Levinas locates the essential flaw of Western philosophy, which begins with an already constituted subjectivity. Although all three view the structure of hermeneutics as essentially discursive, Levinas insists that the subject is not the source for these discursive structures, or even for its own subjectivity. Rather, that source, where any philosophical understanding must start, is the Other. Levinas sees exhortations against things like “sorcery” and “temptation” as the Talmud’s mode of resisting and restraining subjectivity’s natural tendency to seek out its own freedom and power. Western philosophy, however, actually tends to either start from this condition or work toward it. Chapter Four discusses the idea of infinity according to Levinas and Descartes, and its role in founding consciousness. In this respect, infinity coincides with the idea of God . Chapter five looks at ethics and its relation to the structure of subjectivity. Levinas reads the Talmud in light of the ethical situation confronting the subject in the encounter with the Other. The Other actually establishes subjectivity and its discursive hermeneutical structures, so subjectivity begins and continues as an ethical response. The Conclusion looks at the idea of “messianic politics,” showing how Levinas describes the structure of subjectivity as a unique “chosenness,” revealing its discursive hermeneutical structures to be orientating the subject to future ethical responses