dorsal/arxiv
View SchemaDifference of Convex (DC) approach for neural network approximation with uniform loss function
| Authors | Vinesha Peiris, Nadezda Sukhorukova |
|---|---|
| Categories | |
| ArXiv ID | 2601.05557vv1 |
| URL | https://arxiv.org/abs/2601.05557 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Neural networks (NNs) can be viewed as approximation tools. Traditionally, NNs are relying on gradient and stochastic gradient (SG) methods. There are a number of available computational packages for constructing least squares approximations, while uniform (minimax) approximations are hard due to their nonsmooth nature. It was recently demonstrated that a difference convex (DC) programming approach is an efficient alternative optimiser for NNs. In this paper, we demonstrate that a DC programming approach is also efficient for minimax approximation. In our numerical experiments, we compare a DC-programming approach and ADAMAX, a commonly used method for minimax NN approximations.
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"date_created": "2026-02-17T05:53:04.258000Z",
"date_modified": "2026-02-17T05:53:04.258000Z",
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"abstract": "Neural networks (NNs) can be viewed as approximation tools. Traditionally, NNs are relying on gradient and stochastic gradient (SG) methods. There are a number of available computational packages for constructing least squares approximations, while uniform (minimax) approximations are hard due to their nonsmooth nature. It was recently demonstrated that a difference convex (DC) programming approach is an efficient alternative optimiser for NNs. In this paper, we demonstrate that a DC programming approach is also efficient for minimax approximation. In our numerical experiments, we compare a DC-programming approach and ADAMAX, a commonly used method for minimax NN approximations.",
"arxiv_id": "2601.05557",
"authors": [
"Vinesha Peiris",
"Nadezda Sukhorukova"
],
"categories": [
"math.OC"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Difference of Convex (DC) approach for neural network approximation with uniform loss function",
"url": "https://arxiv.org/abs/2601.05557",
"version": "v1"
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"variant": "snapshot-2026-01-17",
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