Layer-wise training of deep networks using kernel similarity
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Abstract (arXiv)
Deep learning has shown promising results in many machine learning applications. The hierarchical feature representation built by deep networks enable compact and precise encoding of the data. A kernel analysis of the trained deep networks demonstrated that with deeper layers, more simple and more accurate data representations are obtained. In this paper, we propose an approach for layer-wise training of a deep network for the supervised classification task. A transformation matrix of each layer is obtained by solving an optimization aimed at a better representation where a subsequent layer builds its representation on the top of the features produced by a previous layer. We compared the performance of our approach with a DNN trained using back-propagation which has same architecture as ours. Experimental results on the real image datasets demonstrate efficacy of our approach. We also performed kernel analysis of layer representations to validate the claim of better feature encoding.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Mar 2017.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 3; 2024: 2; 2025: 3.
15 papers.
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- 2021Revisiting Locally Supervised Learning: an Alternative to End-to-end Trainingcited by 71
- 2021A Survey on Green Deep Learningcited by 52
- 2021Feature Learning and Signal Propagation in Deep Neural Networkscited by 18
- 2025Scalable Model Merging with Progressive Layer-wise Distillationcited by 9
- 2023Spiking Neural Networks and Bio-Inspired Supervised Deep Learning: A Surveycited by 8
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Trainingcited by 8
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Schemecited by 4
- 2022Seeking Interpretability and Explainability in Binary Activated Neural Networkscited by 3
- 2022Deep Layer-wise Networks Have Closed-Form Weightscited by 2
- 2022An Adaptive and Stability-Promoting Layerwise Training Approach for Sparse Deep Neural Network Architecturecited by 2
- 2025Topological derivative approach for deep neural network architecture adaptationcited by 2
- 2022Block-wise Training of Residual Networks via the Minimizing Movement Schemecited by 1
- 2025Local Pairwise Distance Matching for Backpropagation-Free Reinforcement Learning15 Jul 2025
- 2025Scalable Model Merging with Progressive Layer-wise Distillation18 Feb 2025
- 2025Topological derivative approach for deep neural network architecture adaptation8 Feb 2025
- 2024Learning Hierarchical Polynomials of Multiple Nonlinear Features with Three-Layer Networks26 Nov 2024
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Training14 Feb 2024
- 2023Convolutional Neural Networks Exploiting Attributes of Biological Neurons14 Nov 2023
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Scheme29 Sep 2023
- 2023Spiking Neural Networks and Bio-Inspired Supervised Deep Learning: A Survey30 Jul 2023
- 2022An Adaptive and Stability-Promoting Layerwise Training Approach for Sparse Deep Neural Network Architecture13 Nov 2022
- 2022Block-wise Training of Residual Networks via the Minimizing Movement Scheme3 Oct 2022
- 2022Seeking Interpretability and Explainability in Binary Activated Neural Networks7 Sep 2022
- 2022Deep Layer-wise Networks Have Closed-Form Weights1 Feb 2022
3 more
- 2021A Survey on Green Deep Learning8 Nov 2021
- 2021Feature Learning and Signal Propagation in Deep Neural Networks22 Oct 2021
- 2021Revisiting Locally Supervised Learning: an Alternative to End-to-end Training26 Jan 2021
- 2021Revisiting Locally Supervised Learning: an Alternative to End-to-end Trainingcited by 71
- 2021A Survey on Green Deep Learningcited by 52
- 2021Feature Learning and Signal Propagation in Deep Neural Networkscited by 18
- 2025Scalable Model Merging with Progressive Layer-wise Distillationcited by 9
- 2023Spiking Neural Networks and Bio-Inspired Supervised Deep Learning: A Surveycited by 8
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Trainingcited by 8
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Schemecited by 4
- 2022Seeking Interpretability and Explainability in Binary Activated Neural Networkscited by 3
- 2022Deep Layer-wise Networks Have Closed-Form Weightscited by 2
- 2022An Adaptive and Stability-Promoting Layerwise Training Approach for Sparse Deep Neural Network Architecturecited by 2
- 2025Topological derivative approach for deep neural network architecture adaptationcited by 2
- 2022Block-wise Training of Residual Networks via the Minimizing Movement Schemecited by 1
12 most cited of 15 All 15 (JSON)
- 2025Local Pairwise Distance Matching for Backpropagation-Free Reinforcement Learning15 Jul 2025
- 2025Scalable Model Merging with Progressive Layer-wise Distillation18 Feb 2025
- 2025Topological derivative approach for deep neural network architecture adaptation8 Feb 2025
- 2024Learning Hierarchical Polynomials of Multiple Nonlinear Features with Three-Layer Networks26 Nov 2024
- 2024End-to-End Training Induces Information Bottleneck through Layer-Role Differentiation: A Comparative Analysis with Layer-wise Training14 Feb 2024
- 2023Convolutional Neural Networks Exploiting Attributes of Biological Neurons14 Nov 2023
- 2023Module-wise Training of Neural Networks via the Minimizing Movement Scheme29 Sep 2023
- 2023Spiking Neural Networks and Bio-Inspired Supervised Deep Learning: A Survey30 Jul 2023
- 2022An Adaptive and Stability-Promoting Layerwise Training Approach for Sparse Deep Neural Network Architecture13 Nov 2022
- 2022Block-wise Training of Residual Networks via the Minimizing Movement Scheme3 Oct 2022
- 2022Seeking Interpretability and Explainability in Binary Activated Neural Networks7 Sep 2022
- 2022Deep Layer-wise Networks Have Closed-Form Weights1 Feb 2022
12 newest of 15 All 15 (JSON)