Firefly Neural Architecture Descent: a General Approach for Growing Neural Networks
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Abstract (arXiv)
We propose firefly neural architecture descent, a general framework for progressively and dynamically growing neural networks to jointly optimize the networks' parameters and architectures. Our method works in a steepest descent fashion, which iteratively finds the best network within a functional neighborhood of the original network that includes a diverse set of candidate network structures. By using Taylor approximation, the optimal network structure in the neighborhood can be found with a greedy selection procedure. We show that firefly descent can flexibly grow networks both wider and deeper, and can be applied to learn accurate but resource-efficient neural architectures that avoid catastrophic forgetting in continual learning. Empirically, firefly descent achieves promising results on both neural architecture search and continual learning. In particular, on a challenging continual image classification task, it learns networks that are smaller in size but have higher average accuracy than those learned by the state-of-the-art methods.
Key facts. Cited by 48 papers in the map (data through 7 Oct 2026). Builds on 23 of its 25 references that are in the map. First posted on arXiv 17 Feb 2021.
Builds on
23 of 25 references.
References · 23
- 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
- 2016Overcoming catastrophic forgetting in neural networkscited by 4,718
- 2016Learning without Forgettingcited by 2,465
- 2018DARTS: Differentiable Architecture Searchcited by 1,782
- 2016Progressive Neural Networkscited by 1,332
- 2017Learning Transferable Architectures for Scalable Image Recognitioncited by 1,097
- 2018Regularized Evolution for Image Classifier Architecture Searchcited by 902
- 2018Efficient Neural Architecture Search via Parameter Sharingcited by 831
- 2017Lifelong Learning with Dynamically Expandable Networkscited by 689
- 2017Progressive Neural Architecture Searchcited by 483
- 2019Learn to Grow: A Continual Structure Learning Framework for Overcoming Catastrophic Forgettingcited by 302
- 2015Net2Net: Accelerating Learning via Knowledge Transfercited by 245
11 more
- 2019Compacting, Picking and Growing for Unforgetting Continual Learningcited by 207
- 2018Reinforced Continual Learningcited by 186
- 2018Efficient Multi-objective Neural Architecture Search via Lamarckian Evolutioncited by 151
- 2017Incremental Learning Through Deep Adaptationcited by 108
- 2016Network Morphismcited by 63
- 2019Splitting Steepest Descent for Growing Neural Architecturescited by 52
- 2017Simple And Efficient Architecture Search for Convolutional Neural Networkscited by 40
- 2019AutoGrow: Automatic Layer Growing in Deep Convolutional Networkscited by 26
- 2019Energy-Aware Neural Architecture Optimization with Fast Splitting Steepest Descentcited by 17
- 2019Efficient Forward Architecture Searchcited by 14
- 2020Steepest Descent Neural Architecture Optimization: Escaping Local Optimum with Signed Neural Splittingcited by 14
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Citing papers per year: 2021: 4; 2022: 9; 2023: 7; 2024: 8; 2025: 10; 2026: 10.
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- 2023LIBERO: Benchmarking Knowledge Transfer for Lifelong Robot Learningcited by 1,338
- 2022Continual Learning and Private Unlearningcited by 124
- 2023Learning to Grow Pretrained Models for Efficient Transformer Trainingcited by 81
- 2021bert2BERT: Towards Reusable Pretrained Language Modelscited by 70
- 2022GradMax: Growing Neural Networks using Gradient Informationcited by 64
- 2024Stacking Your Transformers: A Closer Look at Model Growth for Efficient LLM Pre-Trainingcited by 42
- 2022Residual Mixture of Expertscited by 39
- 2022Balancing Stability and Plasticity through Advanced Null Space in Continual Learningcited by 29
- 2021The Elastic Lottery Ticket Hypothesiscited by 23
- 2021On Anytime Learning at Macroscalecited by 20
- 2022When, where, and how to add new neurons to ANNscited by 18
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Trainingcited by 15
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- 2025Steepest Descent Density Control for Compact 3D Gaussian Splattingcited by 13
- 2024Preparing Lessons for Progressive Training on Language Modelscited by 10
- 2024Growing Tiny Networks: Spotting Expressivity Bottlenecks and Fixing Them Optimallycited by 9
- 2023Accelerated Training via Incrementally Growing Neural Networks using Variance Transfer and Learning Rate Adaptationcited by 8
- 2023MixtureGrowth: Growing Neural Networks by Recombining Learned Parameterscited by 7
- 2022Exploring the Intersection between Neural Architecture Search and Continual Learningcited by 4
- 2025Adaptive Width Neural Networkscited by 4
- 2026SPARKLING: Balancing Signal Preservation and Symmetry Breaking for Width-Progressive Learningcited by 4
- 2024When To Grow? A Fitting Risk-Aware Policy for Layer Growing in Deep Neural Networkscited by 3
- 2025Growth strategies for arbitrary DAG neural architecturescited by 2
- 2025Topological derivative approach for deep neural network architecture adaptationcited by 2
- 2025Expand Neurons, Not Parameterscited by 2
- 2026Not All Layers Are Created Equal: Adaptive LoRA Ranks for Personalized Image Generationcited by 2
- 2022Incremental Learning with Differentiable Architecture and Forgetting Searchcited by 1
- 2023SensLI: Sensitivity-Based Layer Insertion for Neural Networkscited by 1
- 2024Learning Morphisms with Gauss-Newton Approximation for Growing Networkscited by 1
- 2025Variational Kolmogorov-Arnold Networkcited by 1
- 2025Shared-Weights Extender and Gradient Voting for Neural Network Expansioncited by 1
- 2021A Meta-Learned Neuron model for Continual Learningcited by 0
- 2022Growing Neural Network with Shared Parametercited by 0
- 2024Beyond Uniform Scaling: Exploring Depth Heterogeneity in Neural Architecturescited by 0
- 2024Growing Deep Neural Network Considering with Similarity between Neuronscited by 0
- 2024Growing Efficient Accurate and Robust Neural Networks on the Edgecited by 0
- 2025A Guaranteed-Stable Neural Network Approach for Optimal Control of Nonlinear Systemscited by 0
- 2025Long-Tailed Data Classification by Increasing and Decreasing Neurons During Trainingcited by 0
- 2025Gradual Capacity Growth for Sparse Network Discoverycited by 0
- 2026Growing Networks with Autonomous Pruningcited by 0
- 2026On the Stability of Growth in Structural Plasticity: Forward-Active yet Backward-Starvedcited by 0
- 2026Recursive Block-Diagonal Coupling for Resource-Efficient Training of Vision Modelscited by 0
- 2026An optimal control approach for neural network architecture adaptation with a posteriori error estimationcited by 0
- 2026Quantifying Depth Sufficiency in Residual Neural Networks: A First-Order Criterioncited by 0
- 2026Across the Loss Landscape with Progressive Growthcited by 0
- 2026Neuron-Level Architecture Growth: A Controlled Evaluation for EEG Time-Series Decodingcited by 0
- 2026CAGE-NAS: Certified Functional Descent for Efficient Model Growthcited by 0
- 2026CAGE-NAS: Certified Functional Descent for Efficient Model Growth1 Oct 2026
- 2026Neuron-Level Architecture Growth: A Controlled Evaluation for EEG Time-Series Decoding27 Sep 2026
- 2026Across the Loss Landscape with Progressive Growth25 Aug 2026
- 2026Quantifying Depth Sufficiency in Residual Neural Networks: A First-Order Criterion1 Aug 2026
- 2026An optimal control approach for neural network architecture adaptation with a posteriori error estimation8 Jul 2026
- 2026Recursive Block-Diagonal Coupling for Resource-Efficient Training of Vision Models22 May 2026
- 2026On the Stability of Growth in Structural Plasticity: Forward-Active yet Backward-Starved14 May 2026
- 2026Not All Layers Are Created Equal: Adaptive LoRA Ranks for Personalized Image Generation23 Mar 2026
- 2026Growing Networks with Autonomous Pruning20 Mar 2026
- 2026SPARKLING: Balancing Signal Preservation and Symmetry Breaking for Width-Progressive Learning2 Feb 2026
- 2025Expand Neurons, Not Parameters6 Oct 2025
- 2025Gradual Capacity Growth for Sparse Network Discovery30 Sep 2025
36 more
- 2025Shared-Weights Extender and Gradient Voting for Neural Network Expansion23 Sep 2025
- 2025Long-Tailed Data Classification by Increasing and Decreasing Neurons During Training14 Jul 2025
- 2025Variational Kolmogorov-Arnold Network3 Jul 2025
- 2025Steepest Descent Density Control for Compact 3D Gaussian Splatting8 May 2025
- 2025Topological derivative approach for deep neural network architecture adaptation8 Feb 2025
- 2025A Guaranteed-Stable Neural Network Approach for Optimal Control of Nonlinear Systems28 Jan 2025
- 2025Adaptive Width Neural Networks27 Jan 2025
- 2025Growth strategies for arbitrary DAG neural architectures22 Jan 2025
- 2024Learning Morphisms with Gauss-Newton Approximation for Growing Networks7 Nov 2024
- 2024Growing Efficient Accurate and Robust Neural Networks on the Edge10 Oct 2024
- 2024Growing Deep Neural Network Considering with Similarity between Neurons23 Aug 2024
- 2024Growing Tiny Networks: Spotting Expressivity Bottlenecks and Fixing Them Optimally30 May 2024
- 2024Stacking Your Transformers: A Closer Look at Model Growth for Efficient LLM Pre-Training24 May 2024
- 2024Beyond Uniform Scaling: Exploring Depth Heterogeneity in Neural Architectures19 Feb 2024
- 2024Preparing Lessons for Progressive Training on Language Models17 Jan 2024
- 2024When To Grow? A Fitting Risk-Aware Policy for Layer Growing in Deep Neural Networks6 Jan 2024
- 2023SensLI: Sensitivity-Based Layer Insertion for Neural Networks27 Nov 2023
- 2023MixtureGrowth: Growing Neural Networks by Recombining Learned Parameters7 Nov 2023
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Training16 Oct 2023
- 2023Self-Expanding Neural Networks10 Jul 2023
- 2023Accelerated Training via Incrementally Growing Neural Networks using Variance Transfer and Learning Rate Adaptation22 Jun 2023
- 2023LIBERO: Benchmarking Knowledge Transfer for Lifelong Robot Learning5 Jun 2023
- 2023Learning to Grow Pretrained Models for Efficient Transformer Training2 Mar 2023
- 2022Balancing Stability and Plasticity through Advanced Null Space in Continual Learning25 Jul 2022
- 2022Streamable Neural Fields20 Jul 2022
- 2022Exploring the Intersection between Neural Architecture Search and Continual Learning11 Jun 2022
- 2022Incremental Learning with Differentiable Architecture and Forgetting Search19 May 2022
- 2022Residual Mixture of Experts20 Apr 2022
- 2022Continual Learning and Private Unlearning24 Mar 2022
- 2022When, where, and how to add new neurons to ANNs17 Feb 2022
- 2022Growing Neural Network with Shared Parameter17 Jan 2022
- 2022GradMax: Growing Neural Networks using Gradient Information13 Jan 2022
- 2021A Meta-Learned Neuron model for Continual Learning3 Nov 2021
- 2021bert2BERT: Towards Reusable Pretrained Language Models14 Oct 2021
- 2021On Anytime Learning at Macroscale17 Jun 2021
- 2021The Elastic Lottery Ticket Hypothesis30 Mar 2021
- 2022Continual Learning and Private Unlearningcited by 124
- 2022Continual Learning and Private Unlearning24 Mar 2022
- 2023LIBERO: Benchmarking Knowledge Transfer for Lifelong Robot Learningcited by 1,338
- 2023Learning to Grow Pretrained Models for Efficient Transformer Trainingcited by 81
- 2021bert2BERT: Towards Reusable Pretrained Language Modelscited by 70
- 2022GradMax: Growing Neural Networks using Gradient Informationcited by 64
- 2024Stacking Your Transformers: A Closer Look at Model Growth for Efficient LLM Pre-Trainingcited by 42
- 2022Balancing Stability and Plasticity through Advanced Null Space in Continual Learningcited by 29
- 2021The Elastic Lottery Ticket Hypothesiscited by 23
- 2021On Anytime Learning at Macroscalecited by 20
- 2022When, where, and how to add new neurons to ANNscited by 18
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Trainingcited by 15
- 2022Streamable Neural Fieldscited by 13
- 2023Self-Expanding Neural Networkscited by 13
12 most cited of 44 All 44 (JSON)
- 2026CAGE-NAS: Certified Functional Descent for Efficient Model Growth1 Oct 2026
- 2026Neuron-Level Architecture Growth: A Controlled Evaluation for EEG Time-Series Decoding27 Sep 2026
- 2026Across the Loss Landscape with Progressive Growth25 Aug 2026
- 2026Quantifying Depth Sufficiency in Residual Neural Networks: A First-Order Criterion1 Aug 2026
- 2026An optimal control approach for neural network architecture adaptation with a posteriori error estimation8 Jul 2026
- 2026Recursive Block-Diagonal Coupling for Resource-Efficient Training of Vision Models22 May 2026
- 2026On the Stability of Growth in Structural Plasticity: Forward-Active yet Backward-Starved14 May 2026
- 2026Growing Networks with Autonomous Pruning20 Mar 2026
- 2025Expand Neurons, Not Parameters6 Oct 2025
- 2025Gradual Capacity Growth for Sparse Network Discovery30 Sep 2025
- 2025Shared-Weights Extender and Gradient Voting for Neural Network Expansion23 Sep 2025
- 2025Long-Tailed Data Classification by Increasing and Decreasing Neurons During Training14 Jul 2025
12 newest of 44 All 44 (JSON)