mlsanityData to 14 Oct 2026

Learning Longer-term Dependencies in RNNs with Auxiliary Losses

arXiv 1803.00144 ↗First posted 1 Mar 2018cs.LG cs.AI stat.MLcited by 58

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Abstract (arXiv)

Despite recent advances in training recurrent neural networks (RNNs), capturing long-term dependencies in sequences remains a fundamental challenge. Most approaches use backpropagation through time (BPTT), which is difficult to scale to very long sequences. This paper proposes a simple method that improves the ability to capture long term dependencies in RNNs by adding an unsupervised auxiliary loss to the original objective. This auxiliary loss forces RNNs to either reconstruct previous events or predict next events in a sequence, making truncated backpropagation feasible for long sequences and also improving full BPTT. We evaluate our method on a variety of settings, including pixel-by-pixel image classification with sequence lengths up to 16,000, and a real document classification benchmark. Our results highlight good performance and resource efficiency of this approach over competitive baselines, including other recurrent models and a comparable sized Transformer. Further analyses reveal beneficial effects of the auxiliary loss on optimization and regularization, as well as extreme cases where there is little to no backpropagation.

Key facts. Cited by 58 papers in the map (data through 14 Oct 2026). First posted on arXiv 1 Mar 2018.

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Citing papers per year: 2021: 20; 2022: 12; 2023: 10; 2024: 10; 2025: 5; 2026: 1.

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  1. 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
  2. 2022Simplified State Space Layers for Sequence Modelingcited by 788
  3. 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layerscited by 608
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  6. 2023End-to-End Speech Recognition: A Surveycited by 129
  7. 2021Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPscited by 122
  8. 2021CKConv: Continuous Kernel Convolution For Sequential Datacited by 120
  9. 2021On the difficulty of learning chaotic dynamics with RNNscited by 67
  10. 2021FlexConv: Continuous Kernel Convolutions with Differentiable Kernel Sizescited by 66
  11. 2022Retrieval-Augmented Reinforcement Learningcited by 53
  12. 2023Parallelizing non-linear sequential models over the sequence lengthcited by 45
38 more
  1. 2022MetaBalance: Improving Multi-Task Recommendations via Adapting Gradient Magnitudes of Auxiliary Taskscited by 34
  2. 2021Taxonomy Completion via Triplet Matching Networkcited by 21
  3. 2023Sequence Modeling with Multiresolution Convolutional Memorycited by 19
  4. 2023Recurrent Action Transformer with Memorycited by 17
  5. 2022Improving Multi-Document Summarization through Referenced Flexible Extraction with Credit-Awarenesscited by 13
  6. 2021MoRe-Fi: Motion-robust and Fine-grained Respiration Monitoring via Deep-Learning UWB Radarcited by 11
  7. 2022Path Development Network with Finite-dimensional Lie Group Representationcited by 8
  8. 2023PASTS: Progress-Aware Spatio-Temporal Transformer Speaker For Vision-and-Language Navigationcited by 8
  9. 2021PILOT: Introducing Transformers for Probabilistic Sound Event Localizationcited by 7
  10. 2021RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural Networkscited by 7
  11. 2021Combining Rules and Embeddings via Neuro-Symbolic AI for Knowledge Base Completioncited by 7
  12. 2023Neural Machine Translation for Mathematical Formulaecited by 7
  13. 2023SMPConv: Self-moving Point Representations for Continuous Convolutioncited by 6
  14. 2024A Diagonal Structured State Space Model on Loihi 2 for Efficient Streaming Sequence Processingcited by 6
  15. 2021On the Memory Mechanism of Tensor-Power Recurrent Modelscited by 5
  16. 2022Gated Recurrent Neural Networks with Weighted Time-Delay Feedbackcited by 5
  17. 2024Short-Long Convolutions Help Hardware-Efficient Linear Attention to Focus on Long Sequencescited by 5
  18. 2024Unraveling the Complexity of Memory in RL Agents: an Approach for Classification and Evaluationcited by 5
  19. 2021Self-Supervised Simultaneous Multi-Step Prediction of Road Dynamics and Cost Mapcited by 4
  20. 2024LongVQ: Long Sequence Modeling with Vector Quantization on Structured Memorycited by 4
  21. 2025Accelerated Training through Iterative Gradient Propagation Along the Residual Pathcited by 4
  22. 2025Characterizing Mamba's Selective Memory using Auto-Encoderscited by 4
  23. 2021Warming up recurrent neural networks to maximise reachable multistability greatly improves learningcited by 3
  24. 2022Lempel-Ziv Networkscited by 3
  25. 2021Lerna: Transformer Architectures for Configuring Error Correction Tools for Short- and Long-Read Genome Sequencingcited by 2
  26. 2022LORD: Lower-Dimensional Embedding of Log-Signature in Neural Rough Differential Equationscited by 2
  27. 2022State-Regularized Recurrent Neural Networks to Extract Automata and Explain Predictionscited by 2
  28. 2024Parallelized Spatiotemporal Bindingcited by 2
  29. 2024Reparameterized Multi-Resolution Convolutions for Long Sequence Modellingcited by 2
  30. 2025Myosotis: structured computation for attention like layercited by 2
  31. 2025MS-SSM: A Multi-Scale State Space Model for Efficient Sequence Modelingcited by 2
  32. 2021Deep Inertial Odometry with Accurate IMU Preintegrationcited by 1
  33. 2021Extremal learning: extremizing the output of a neural network in regression problemscited by 1
  34. 2021Predictive Representation Learning for Language Modelingcited by 1
  35. 2021Improving Computer Generated Dialog with Auxiliary Loss Functions and Custom Evaluation Metricscited by 1
  36. 2023Behavior quantification as the missing link between fields: Tools for digital psychiatry and their role in the future of neurobiologycited by 1
  37. 2023Learning under Label Proportions for Text Classificationcited by 1
  38. 2024Enhancing Molecular Property Prediction with Auxiliary Learning and Task-Specific Adaptationcited by 1

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