Sparse Hybrid Linear-Morphological Networks

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Hauptverfasser: Fotopoulos, Konstantinos, Garoufis, Christos, Maragos, Petros
Format: Preprint
Veröffentlicht: 2025
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author Fotopoulos, Konstantinos
Garoufis, Christos
Maragos, Petros
author_facet Fotopoulos, Konstantinos
Garoufis, Christos
Maragos, Petros
contents We investigate hybrid linear-morphological networks. Recent studies highlight the inherent affinity of morphological layers to pruning, but also their difficulty in training. We propose a hybrid network structure, wherein morphological layers are inserted between the linear layers of the network, in place of activation functions. We experiment with the following morphological layers: 1) maxout pooling layers (as a special case of a morphological layer), 2) fully connected dense morphological layers, and 3) a novel, sparsely initialized variant of (2). We conduct experiments on the Magna-Tag-A-Tune (music auto-tagging) and CIFAR-10 (image classification) datasets, replacing the linear classification heads of state-of-the-art convolutional network architectures with our proposed network structure for the various morphological layers. We demonstrate that these networks induce sparsity to their linear layers, making them more prunable under L1 unstructured pruning. We also show that on MTAT our proposed sparsely initialized layer achieves slightly better performance than ReLU, maxout, and densely initialized max-plus layers, and exhibits faster initial convergence.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sparse Hybrid Linear-Morphological Networks
Fotopoulos, Konstantinos
Garoufis, Christos
Maragos, Petros
Machine Learning
We investigate hybrid linear-morphological networks. Recent studies highlight the inherent affinity of morphological layers to pruning, but also their difficulty in training. We propose a hybrid network structure, wherein morphological layers are inserted between the linear layers of the network, in place of activation functions. We experiment with the following morphological layers: 1) maxout pooling layers (as a special case of a morphological layer), 2) fully connected dense morphological layers, and 3) a novel, sparsely initialized variant of (2). We conduct experiments on the Magna-Tag-A-Tune (music auto-tagging) and CIFAR-10 (image classification) datasets, replacing the linear classification heads of state-of-the-art convolutional network architectures with our proposed network structure for the various morphological layers. We demonstrate that these networks induce sparsity to their linear layers, making them more prunable under L1 unstructured pruning. We also show that on MTAT our proposed sparsely initialized layer achieves slightly better performance than ReLU, maxout, and densely initialized max-plus layers, and exhibits faster initial convergence.
title Sparse Hybrid Linear-Morphological Networks
topic Machine Learning
url https://arxiv.org/abs/2504.09289