Reasoning with random sets: An agenda for the future
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913198974697472 |
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| author | Cuzzolin, Fabio |
| author_facet | Cuzzolin, Fabio |
| contents | In this paper, we discuss a potential agenda for future work in the theory of random sets and belief functions, touching upon a number of focal issues: the development of a fully-fledged theory of statistical reasoning with random sets, including the generalisation of logistic regression and of the classical laws of probability; the further development of the geometric approach to uncertainty, to include general random sets, a wider range of uncertainty measures and alternative geometric representations; the application of this new theory to high-impact areas such as climate change, machine learning and statistical learning theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09435 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reasoning with random sets: An agenda for the future Cuzzolin, Fabio Statistics Theory Artificial Intelligence Machine Learning 62A01, 62A86, 60A05, 60C05, 60D05, 60E05 In this paper, we discuss a potential agenda for future work in the theory of random sets and belief functions, touching upon a number of focal issues: the development of a fully-fledged theory of statistical reasoning with random sets, including the generalisation of logistic regression and of the classical laws of probability; the further development of the geometric approach to uncertainty, to include general random sets, a wider range of uncertainty measures and alternative geometric representations; the application of this new theory to high-impact areas such as climate change, machine learning and statistical learning theory. |
| title | Reasoning with random sets: An agenda for the future |
| topic | Statistics Theory Artificial Intelligence Machine Learning 62A01, 62A86, 60A05, 60C05, 60D05, 60E05 |
| url | https://arxiv.org/abs/2401.09435 |