The Responsibility Problem in Neural Networks with Unordered Targets

Bibliographic Details
Title: The Responsibility Problem in Neural Networks with Unordered Targets
Authors: Hayes, Ben, Saitis, Charalampos, Fazekas, György
Publication Year: 2023
Collection: Computer Science
Subject Terms: Computer Science - Machine Learning, Computer Science - Discrete Mathematics
More Details: We discuss the discontinuities that arise when mapping unordered objects to neural network outputs of fixed permutation, referred to as the responsibility problem. Prior work has proved the existence of the issue by identifying a single discontinuity. Here, we show that discontinuities under such models are uncountably infinite, motivating further research into neural networks for unordered data.
Comment: Accepted for TinyPaper archival at ICLR 2023: https://openreview.net/forum?id=jd7Hy1jRiv4
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2304.09499
Accession Number: edsarx.2304.09499
Database: arXiv
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  Data: The Responsibility Problem in Neural Networks with Unordered Targets
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  Data: <searchLink fieldCode="AR" term="%22Hayes%2C+Ben%22">Hayes, Ben</searchLink><br /><searchLink fieldCode="AR" term="%22Saitis%2C+Charalampos%22">Saitis, Charalampos</searchLink><br /><searchLink fieldCode="AR" term="%22Fazekas%2C+György%22">Fazekas, György</searchLink>
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  Data: We discuss the discontinuities that arise when mapping unordered objects to neural network outputs of fixed permutation, referred to as the responsibility problem. Prior work has proved the existence of the issue by identifying a single discontinuity. Here, we show that discontinuities under such models are uncountably infinite, motivating further research into neural networks for unordered data.<br />Comment: Accepted for TinyPaper archival at ICLR 2023: https://openreview.net/forum?id=jd7Hy1jRiv4
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      – SubjectFull: Computer Science - Machine Learning
        Type: general
      – SubjectFull: Computer Science - Discrete Mathematics
        Type: general
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      – TitleFull: The Responsibility Problem in Neural Networks with Unordered Targets
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            NameFull: Saitis, Charalampos
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            NameFull: Fazekas, György
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              Type: published
              Y: 2023
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