Rethinking Neural Operations for Diverse Tasks
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Abstract (arXiv)
An important goal of AutoML is to automate-away the design of neural networks on new tasks in under-explored domains. Motivated by this goal, we study the problem of enabling users to discover the right neural operations given data from their specific domain. We introduce a search space of operations called XD-Operations that mimic the inductive bias of standard multi-channel convolutions while being much more expressive: we prove that it includes many named operations across multiple application areas. Starting with any standard backbone such as ResNet, we show how to transform it into a search space over XD-operations and how to traverse the space using a simple weight-sharing scheme. On a diverse set of tasks -- solving PDEs, distance prediction for protein folding, and music modeling -- our approach consistently yields models with lower error than baseline networks and often even lower error than expert-designed domain-specific approaches.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). Builds on 39 of its 68 references that are in the map. First posted on arXiv 29 Mar 2021.
Builds on
39 of 68 references.
References · 39
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2014ImageNet Large Scale Visual Recognition Challengecited by 8,441
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016SQuAD: 100,000+ Questions for Machine Comprehension of Textcited by 4,115
- 2016Wide Residual Networkscited by 3,057
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,806
- 2018DARTS: Differentiable Architecture Searchcited by 1,782
- 2018An Empirical Evaluation of Generic Convolutional and Recurrent Networks for Sequence Modelingcited by 1,447
27 more
- 2017Learning Transferable Architectures for Scalable Image Recognitioncited by 1,097
- 2018Efficient Neural Architecture Search via Parameter Sharingcited by 831
- 2019Once-for-All: Train One Network and Specialize it for Efficient Deploymentcited by 778
- 2016Hyperband: A Novel Bandit-Based Approach to Hyperparameter Optimizationcited by 688
- 2017DGM: A deep learning algorithm for solving partial differential equationscited by 674
- 2020HiPPO: Recurrent Memory with Optimal Polynomial Projectionscited by 600
- 2020NAS-Bench-201: Extending the Scope of Reproducible Neural Architecture Searchcited by 412
- 2019NAS-Bench-101: Towards Reproducible Neural Architecture Searchcited by 340
- 2019PC-DARTS: Partial Channel Connections for Memory-Efficient Architecture Searchcited by 265
- 2019Auto-DeepLab: Hierarchical Neural Architecture Search for Semantic Image Segmentationcited by 258
- 2019Random Search and Reproducibility for Neural Architecture Searchcited by 253
- 2020AutoML-Zero: Evolving Machine Learning Algorithms From Scratchcited by 137
- 2019Neural Machine Translation: A Review and Surveycited by 99
- 2019Learning Fast Algorithms for Linear Transforms Using Butterfly Factorizationscited by 73
- 2019NAS evaluation is frustratingly hardcited by 69
- 2020NAS-Bench-1Shot1: Benchmarking and Dissecting One-shot Neural Architecture Searchcited by 64
- 2019Densely Connected Search Space for More Flexible Neural Architecture Searchcited by 52
- 2018Trellis Networks for Sequence Modelingcited by 50
- 2019AtomNAS: Fine-Grained End-to-End Neural Architecture Searchcited by 40
- 2020Geometry-Aware Gradient Algorithms for Neural Architecture Searchcited by 40
- 2018Fast Neural Architecture Search of Compact Semantic Segmentation Models via Auxiliary Cellscited by 39
- 2019R-Transformer: Recurrent Neural Network Enhanced Transformercited by 39
- 2020Kaleidoscope: An Efficient, Learnable Representation For All Structured Linear Mapscited by 36
- 2015ACDC: A Structured Efficient Linear Layercited by 19
- 2019Butterfly Transform: An Efficient FFT Based Neural Architecture Designcited by 16
- 2019TextNAS: A Neural Architecture Search Space tailored for Text Representationcited by 16
- 2020Sparse Linear Networks with a Fixed Butterfly Structure: Theory and Practicecited by 9
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Citing papers per year: 2021: 2; 2022: 6; 2023: 5; 2024: 3; 2025: 1; 2026: 1.
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- 2021Choose a Transformer: Fourier or Galerkincited by 333
- 2023Neural Architecture Search: Insights from 1000 Paperscited by 136
- 2023Cross-Modal Fine-Tuning: Align then Refinecited by 34
- 2021NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Taskscited by 32
- 2024Specialized Foundation Models Struggle to Beat Supervised Baselinescited by 23
- 2022Efficient Architecture Search for Diverse Taskscited by 18
- 2022AANG: Automating Auxiliary Learningcited by 12
- 2022Construction of Hierarchical Neural Architecture Search Spaces based on Context-free Grammarscited by 9
- 2022Efficient Non-Parametric Optimizer Search for Diverse Taskscited by 6
- 2024einspace: Searching for Neural Architectures from Fundamental Operationscited by 5
- 2022AutoML for Climate Change: A Call to Actioncited by 3
- 2023Learning Functional Transductioncited by 2
6 more
- 2023How Much Is Hidden in the NAS Benchmarks? Few-Shot Adaptation of a NAS Predictorcited by 2
- 2024Pretrained Hybrids with MAD Skillscited by 2
- 2023An Evaluation of Zero-Cost Proxies -- from Neural Architecture Performance to Model Robustnesscited by 1
- 2025COSMOS: Predictable and Cost-Effective Adaptation of LLMscited by 1
- 2026Agentic Neural Architecture Searchcited by 1
- 2022Pseudo-Inverted Bottleneck Convolution for DARTS Search Spacecited by 0
- 2026Agentic Neural Architecture Search8 Jul 2026
- 2025COSMOS: Predictable and Cost-Effective Adaptation of LLMs30 Apr 2025
- 2024Specialized Foundation Models Struggle to Beat Supervised Baselines5 Nov 2024
- 2024Pretrained Hybrids with MAD Skills2 Jun 2024
- 2024einspace: Searching for Neural Architectures from Fundamental Operations31 May 2024
- 2023How Much Is Hidden in the NAS Benchmarks? Few-Shot Adaptation of a NAS Predictor30 Nov 2023
- 2023An Evaluation of Zero-Cost Proxies -- from Neural Architecture Performance to Model Robustness18 Jul 2023
- 2023Cross-Modal Fine-Tuning: Align then Refine11 Feb 2023
- 2023Learning Functional Transduction1 Feb 2023
- 2023Neural Architecture Search: Insights from 1000 Papers20 Jan 2023
- 2022Pseudo-Inverted Bottleneck Convolution for DARTS Search Space31 Dec 2022
- 2022Construction of Hierarchical Neural Architecture Search Spaces based on Context-free Grammars3 Nov 2022
6 more
- 2022AutoML for Climate Change: A Call to Action7 Oct 2022
- 2022Efficient Non-Parametric Optimizer Search for Diverse Tasks27 Sep 2022
- 2022AANG: Automating Auxiliary Learning27 May 2022
- 2022Efficient Architecture Search for Diverse Tasks15 Apr 2022
- 2021NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Tasks12 Oct 2021
- 2021Choose a Transformer: Fourier or Galerkin31 May 2021
- 2026Agentic Neural Architecture Searchcited by 1
- 2026Agentic Neural Architecture Search8 Jul 2026
- 2021Choose a Transformer: Fourier or Galerkincited by 333
- 2023Neural Architecture Search: Insights from 1000 Paperscited by 136
- 2023Cross-Modal Fine-Tuning: Align then Refinecited by 34
- 2021NAS-Bench-360: Benchmarking Neural Architecture Search on Diverse Taskscited by 32
- 2024Specialized Foundation Models Struggle to Beat Supervised Baselinescited by 23
- 2022Efficient Architecture Search for Diverse Taskscited by 18
- 2022AANG: Automating Auxiliary Learningcited by 12
- 2022Construction of Hierarchical Neural Architecture Search Spaces based on Context-free Grammarscited by 9
- 2022Efficient Non-Parametric Optimizer Search for Diverse Taskscited by 6
- 2024einspace: Searching for Neural Architectures from Fundamental Operationscited by 5
- 2022AutoML for Climate Change: A Call to Actioncited by 3
- 2023Learning Functional Transductioncited by 2
12 most cited of 17 All 17 (JSON)
- 2025COSMOS: Predictable and Cost-Effective Adaptation of LLMs30 Apr 2025
- 2024Specialized Foundation Models Struggle to Beat Supervised Baselines5 Nov 2024
- 2024Pretrained Hybrids with MAD Skills2 Jun 2024
- 2024einspace: Searching for Neural Architectures from Fundamental Operations31 May 2024
- 2023How Much Is Hidden in the NAS Benchmarks? Few-Shot Adaptation of a NAS Predictor30 Nov 2023
- 2023An Evaluation of Zero-Cost Proxies -- from Neural Architecture Performance to Model Robustness18 Jul 2023
- 2023Cross-Modal Fine-Tuning: Align then Refine11 Feb 2023
- 2023Learning Functional Transduction1 Feb 2023
- 2023Neural Architecture Search: Insights from 1000 Papers20 Jan 2023
- 2022Pseudo-Inverted Bottleneck Convolution for DARTS Search Space31 Dec 2022
- 2022Construction of Hierarchical Neural Architecture Search Spaces based on Context-free Grammars3 Nov 2022
- 2022AutoML for Climate Change: A Call to Action7 Oct 2022
12 newest of 17 All 17 (JSON)