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This paper has been withdrawn because of serious errors.
This paper has been withdrawn by the author: it was a too preliminary version
This paper has been withdrawn by the author because it has been substantially modified.
This submission is being withdrawn due to serious errors in the achievability proofs. The reviewers of the journal I had submitted to had found errors back in 2006. I had forgotten about this paper until I saw the CFP for a JSAC issue on…
This paper has been withdrawn by the author due to a crucial problem associated with Figs. 2 and 3.
This paper has been withdrawn by the author(s), due to acceptance of the paper for publication in Physical Chemistry Chemical Physics.
This paper has been withdrawn by the author(s), due to the existence of a much better paper in http://arxiv.org/abs/cs.CR/0207027
This paper has been withdrawn due to the adherance to the double submission policies of a refereed journal. Our apologies.
This paper has been withdrawn because it has not been vetted by CMS
This paper has been withdrawn by arXiv administrators because of an inappropriate amount of overlap with hep-th/0505013.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
With the agreement of my coauthors, I Zhangyang Wang would like to withdraw the manuscript "Stacked Approximated Regression Machine: A Simple Deep Learning Approach". Some experimental procedures were not included in the manuscript, which…
Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.
Although artificial neural networks have shown great promise in applications including computer vision and speech recognition, there remains considerable practical and theoretical difficulty in optimizing their parameters. The seemingly…
Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.
This article has been withdrawn by arXiv administrators due to plagiarized content from arXiv:1010.2469.
Depth separation -- why a deeper network is more powerful than a shallower one -- has been a major problem in deep learning theory. Previous results often focus on representation power. For example, arXiv:1904.06984 constructed a function…
This paper has been withdrawn by the author due to a crucial error in the submission action.
This paper has been withdrawn because its contents have become subsumed in Section 5.2 of arXiv:0805.2307.
Physics-informed neural networks (PINNs) are known to suffer from optimization difficulty. In this work, we reveal the connection between the optimization difficulty of PINNs and activation functions. Specifically, we show that PINNs…