Angular eigenvalues and some classical probability density functions for the helium isoelectronic sequence

Harcourt, Richard D.

doi:10.1016/0375-9601(95)00141-o

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…In particular, the parameter of all classical density functions has a single-mode form [33], whereas the real situation is usually multimodal. Therefore, we use a non-parametric approach to obtain the probability density function p(x).…”

Section: Representativenessmentioning

confidence: 99%

Active Learning Through Multi-Standard Optimization

Wang

Min

2019

IEEE Access

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Active learning selects the most critical instances and obtains their labels through interaction with an oracle. Selecting either informative or representative unlabeled instances may result in sampling bias or cluster dependency. In this paper, we propose a multi-standard optimization active learning (MSAL) algorithm that considers the informativeness, representativeness, and diversity of instances. Informativeness is measured by the soft-max predicted entropy, whereas representativeness is measured by the probability density function obtained by a non-parametric estimation. The multiplex of the two is used as an optimization objective to reduce model uncertainty and explore the distribution of unlabeled data. Diversity is measured by the difference between the selected critical instances. This is used as a constraint to prevent the selection of instances that are too similar. Learning experiments were performed with 12 datasets from various domains. The results of significance tests verify the effectiveness of MSAL and its superiority over state-of-the-art active learning algorithms.

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Section: Representativenessmentioning

confidence: 99%

Active Learning Through Multi-Standard Optimization

Wang

Min

2019

IEEE Access

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“…Examples of new types of Bohr orbit calculations of the energies for H 2 ϩ , H 2 , and the helium isoelectronic sequence are provided in ref. [7,74] …”

Section: Bohr Orbit Descriptions Of Electronic Structurementioning

confidence: 99%