Low-Rank Approximations for Conditional Feedforward Computation in Deep Neural Networks
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Abstract (arXiv)
Scalability properties of deep neural networks raise key research questions, particularly as the problems considered become larger and more challenging. This paper expands on the idea of conditional computation introduced by Bengio, et. al., where the nodes of a deep network are augmented by a set of gating units that determine when a node should be calculated. By factorizing the weight matrix into a low-rank approximation, an estimation of the sign of the pre-nonlinearity activation can be efficiently obtained. For networks using rectified-linear hidden units, this implies that the computation of a hidden unit with an estimated negative pre-nonlinearity can be ommitted altogether, as its value will become zero when nonlinearity is applied. For sparse neural networks, this can result in considerable speed gains. Experimental results using the MNIST and SVHN data sets with a fully-connected deep neural network demonstrate the performance robustness of the proposed scheme with respect to the error introduced by the conditional computation process.
Key facts. Cited by 44 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 Dec 2013.
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Citing papers per year: 2017: 1; 2018: 0; 2019: 1; 2020: 1; 2021: 11; 2022: 6; 2023: 7; 2024: 9; 2025: 7; 2026: 1.
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- 2021Zoo-Tuning: Adaptive Transfer from a Zoo of Models29 Jun 2021
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- 2021Zero Time Waste: Recycling Predictions in Early Exit Neural Networks9 Jun 2021
- 2021Early Exiting with Ensemble Internal Classifiers28 May 2021
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- 2021Dynamic Neural Networks: A Survey9 Feb 2021
- 2021CNN with large memory layers27 Jan 2021
- 2021Pruning and Quantization for Deep Neural Network Acceleration: A Survey24 Jan 2021
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding30 Jun 2020
- 2019Learning Sparse Mixture of Experts for Visual Question Answering19 Sep 2019
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan 2017
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
- 2021Scaling Vision with Sparse Mixture of Expertscited by 740
- 2024A Survey on Mixture of Experts in Large Language Modelscited by 233
- 2021Efficient Large Scale Language Modeling with Mixtures of Expertscited by 175
- 2024Mixture of A Million Expertscited by 70
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- 2019Learning Sparse Mixture of Experts for Visual Question Answeringcited by 2
- 2024Video Relationship Detection Using Mixture of Expertscited by 1
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- 2024Video Relationship Detection Using Mixture of Experts6 Mar 2024
- 2024Multilinear Mixture of Experts: Scalable Expert Specialization through Factorization19 Feb 2024
- 2024Intrinsic User-Centric Interpretability through Global Mixture of Experts5 Feb 2024
- 2023Fast Feedforward Networks28 Aug 2023
- 2022Spatial Mixture-of-Experts24 Nov 2022
- 2021Efficient Large Scale Language Modeling with Mixtures of Experts20 Dec 2021
- 2021Scaling Vision with Sparse Mixture of Experts10 Jun 2021
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding30 Jun 2020
- 2019Learning Sparse Mixture of Experts for Visual Question Answering19 Sep 2019
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan 2017
- 2024Scaling Diffusion Transformers to 16 Billion Parameterscited by 65
- 2024Scaling Diffusion Transformers to 16 Billion Parameters16 Jul 2024
- 2021Dynamic Neural Networks: A Surveycited by 405
- 2021Pruning and Quantization for Deep Neural Network Acceleration: A Surveycited by 259
- 2022The Lazy Neuron Phenomenon: On Emergence of Activation Sparsity in Transformerscited by 121
- 2021Towards Efficient NLP: A Standard Evaluation and A Strong Baselinecited by 44
- 2021Zoo-Tuning: Adaptive Transfer from a Zoo of Modelscited by 35
- 2021Early Exiting with Ensemble Internal Classifierscited by 19
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12 most cited of 27 All 27 (JSON)
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- 2025DynaNav: Dynamic Feature and Layer Selection for Efficient Visual Navigation26 Sep 2025
- 2025Universal Properties of Activation Sparsity in Modern Large Language Models30 Aug 2025
- 2025Revisiting Replay and Gradient Alignment for Continual Pre-Training of Large Language Models3 Aug 2025
- 2025Efficiency Robustness of Dynamic Deep Learning Systems12 Jun 2025
- 2025Spark Transformer: Reactivating Sparsity in FFN and Attention7 Jun 2025
- 2024Neuralink: Fast LLM Inference on Smartphones with Neuron Co-Activation Linking25 Oct 2024
- 2024Low-Rank Interconnected Adaptation across Layers13 Jul 2024
- 2024Mixture-of-Modules: Reinventing Transformers as Dynamic Assemblies of Modules9 Jul 2024
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12 newest of 27 All 27 (JSON)