dorsal/arxiv
View SchemaHidden Monotonicity: Explaining Deep Neural Networks via their DC Decomposition
| Authors | Jakob Paul Zimmermann, Georg Loho |
|---|---|
| Categories | |
| ArXiv ID | 2601.07700vv1 |
| URL | https://arxiv.org/abs/2601.07700 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
It has been demonstrated in various contexts that monotonicity leads to better explainability in neural networks. However, not every function can be well approximated by a monotone neural network. We demonstrate that monotonicity can still be used in two ways to boost explainability. First, we use an adaptation of the decomposition of a trained ReLU network into two monotone and convex parts, thereby overcoming numerical obstacles from an inherent blowup of the weights in this procedure. Our proposed saliency methods - SplitCAM and SplitLRP - improve on state of the art results on both VGG16 and Resnet18 networks on ImageNet-S across all Quantus saliency metric categories. Second, we exhibit that training a model as the difference between two monotone neural networks results in a system with strong self-explainability properties.
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"abstract": "It has been demonstrated in various contexts that monotonicity leads to better explainability in neural networks. However, not every function can be well approximated by a monotone neural network. We demonstrate that monotonicity can still be used in two ways to boost explainability. First, we use an adaptation of the decomposition of a trained ReLU network into two monotone and convex parts, thereby overcoming numerical obstacles from an inherent blowup of the weights in this procedure. Our proposed saliency methods - SplitCAM and SplitLRP - improve on state of the art results on both VGG16 and Resnet18 networks on ImageNet-S across all Quantus saliency metric categories. Second, we exhibit that training a model as the difference between two monotone neural networks results in a system with strong self-explainability properties.",
"arxiv_id": "2601.07700",
"authors": [
"Jakob Paul Zimmermann",
"Georg Loho"
],
"categories": [
"cs.CV",
"cs.LG"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Hidden Monotonicity: Explaining Deep Neural Networks via their DC Decomposition",
"url": "https://arxiv.org/abs/2601.07700",
"version": "v1"
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