The representation of the cumulative rounding error of an algorithm as a Taylor expansion of the local rounding errors (master's thesis, University of Helsinki)
Seppo Linnainmaa, “The representation of the cumulative rounding error of an algorithm as a Taylor expansion of the local rounding errors (master's thesis, University of Helsinki)”. Known only from citations in the texts read; not retrieved, so nothing is recorded about its content.
- Issued by
- No issuing record yet. A missing record is a gap in coverage.
- Authors credited
- No authorship claim recorded yet. A missing record is a gap in coverage.
- Dates
- No date claim recorded yet. A missing record is a gap in coverage.
- Exact source
- no source record matches this exact version of the document. Sources for the description: Deep Learning in Neural Networks: An Overview (arXiv:1404.7828v4)
Appears in
No collection holds a record about this document yet.
Versions
No other versions of this document are recorded. The evidence applies to the source version listed above. Other versions, such as a preprint, working paper or journal publication, are not identified or substituted.
Documentary relations
Each relation is listed separately. Citing, crediting and reporting the use of a method are different acts, and none of them shows agreement or influence by itself.
Ideas attributed to this work by · 2
Recorded documents that attribute an argument, concept, term, finding or approach to this one. Each attribution is the citing document’s claim.
- Deep Learning in Neural Networks: An OverviewAccording to Schmidhuber's 2014 overview, explicit, efficient error backpropagation in arbitrary, discrete, possibly sparse NN-like networks was apparently first described in Linnainmaa's 1970 master's thesis, without reference to neural networks.2014-10-08 · event · Stated in source · Supported Inspect claim & evidence ↗Deep Learning in Neural Networks: An Overview: document page →
- Who Invented Backpropagation?According to Schmidhuber's page "Who Invented Backpropagation?", the modern version of backpropagation was first published in 1970 by Seppo Linnainmaa.2025 · event · Stated in source · Supported Inspect claim & evidence ↗Who Invented Backpropagation?: document page →
Not recorded for this document: cites · cited by · explicitly credits · reports using a method from · method reported as used by · applies parts of · parts applied by · discusses · reports evaluation of. A missing record does not show that the relation does not exist.