Trellis Networks for Sequence Modeling
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Abstract (arXiv)
We present trellis networks, a new architecture for sequence modeling. On the one hand, a trellis network is a temporal convolutional network with special structure, characterized by weight tying across depth and direct injection of the input into deep layers. On the other hand, we show that truncated recurrent networks are equivalent to trellis networks with special sparsity structure in their weight matrices. Thus trellis networks with general weight matrices generalize truncated recurrent networks. We leverage these connections to design high-performing trellis networks that absorb structural and algorithmic elements from both recurrent and convolutional models. Experiments demonstrate that trellis networks outperform the current state of the art methods on a variety of challenging benchmarks, including word-level language modeling and character-level language modeling tasks, and stress tests designed to evaluate long-term memory retention. The code is available at https://github.com/locuslab/trellisnet .
Key facts. Cited by 52 papers in the map (data through 14 Oct 2026). First posted on arXiv 15 Oct 2018.
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Citing papers per year: 2021: 17; 2022: 11; 2023: 9; 2024: 6; 2025: 4; 2026: 5.
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- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
- 2022Simplified State Space Layers for Sequence Modelingcited by 788
- 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layerscited by 608
- 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 424
- 2021SCINet: Time Series Modeling and Forecasting with Sample Convolution and Interactioncited by 338
- 2021Training Graph Neural Networks with 1000 Layerscited by 169
- 2023Looped Transformers are Better at Learning Learning Algorithmscited by 149
- 2022Liquid Structural State-Space Modelscited by 136
- 2021Deep Equilibrium Architectures for Inverse Problems in Imagingcited by 127
- 2021CKConv: Continuous Kernel Convolution For Sequential Datacited by 120
- 2021Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networkscited by 117
- 2021FlexConv: Continuous Kernel Convolutions with Differentiable Kernel Sizescited by 66
38 more
- 2021A Survey of Sound Source Localization with Deep Learning Methodscited by 46
- 2023Parallelizing non-linear sequential models over the sequence lengthcited by 45
- 2021On the Theory of Implicit Deep Learning: Global Convergence with Implicit Layerscited by 35
- 2023The Tunnel Effect: Building Data Representations in Deep Neural Networkscited by 34
- 2021Sliced Recursive Transformercited by 26
- 2023Sequence Modeling with Multiresolution Convolutional Memorycited by 19
- 2021Rethinking Neural Operations for Diverse Taskscited by 18
- 2022Efficient Architecture Search for Diverse Taskscited by 18
- 2021A global convergence theory for deep ReLU implicit networks via over-parameterizationcited by 17
- 2021The Uncanny Similarity of Recurrence and Depthcited by 9
- 2024DNF: Unconditional 4D Generation with Dictionary-based Neural Fieldscited by 8
- 2021RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural Networkscited by 7
- 2021Speeding up Deep Model Training by Sharing Weights and Then Unsharingcited by 7
- 2023SMPConv: Self-moving Point Representations for Continuous Convolutioncited by 6
- 2021Implicit Feature Refinement for Instance Segmentationcited by 5
- 2022Deep Equilibrium Models for Video Snapshot Compressive Imagingcited by 5
- 2022Gradient Descent Optimizes Infinite-Depth ReLU Implicit Networks with Linear Widthscited by 5
- 2024Short-Long Convolutions Help Hardware-Efficient Linear Attention to Focus on Long Sequencescited by 5
- 2022Connections between Deep Equilibrium and Sparse Representation Models with Application to Hyperspectral Image Denoisingcited by 4
- 2022Stable Invariant Models via Koopman Spectracited by 4
- 2024LongVQ: Long Sequence Modeling with Vector Quantization on Structured Memorycited by 4
- 2025DEQuify your force field: More efficient simulations using deep equilibrium modelscited by 3
- 2024Reparameterized Multi-Resolution Convolutions for Long Sequence Modellingcited by 2
- 2025Myosotis: structured computation for attention like layercited by 2
- 2026Lipschitz Multiscale Deep Equilibrium Models: A Theoretically Guaranteed and Accelerated Approachcited by 1
- 2022Representation Recycling for Streaming Video Analysiscited by 0
- 2022HAGCN : Network Decentralization Attention Based Heterogeneity-Aware Spatiotemporal Graph Convolution Network for Traffic Signal Forecastingcited by 0
- 2022Image Classification using Sequence of Pixelscited by 0
- 2023A Quantitative Review on Language Model Efficiency Researchcited by 0
- 2023Improving the Transferability of Time Series Forecasting with Decomposition Adaptationcited by 0
- 2023Contraction Properties of the Global Workspace Primitivecited by 0
- 2023NAC-TCN: Temporal Convolutional Networks with Causal Dilated Neighborhood Attention for Emotion Understandingcited by 0
- 2024HyperZ·Z·W Operator Connects Slow-Fast Networks for Full Context Interactioncited by 0
- 2024Efficient State Space Model via Fast Tensor Convolution and Block Diagonalizationcited by 0
- 2025From Local Patterns to Global Understanding: Cross-Stock Trend Integration for Enhanced Predictive Modelingcited by 0
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoisingcited by 0
- 2026MR-ImagenTime: Multi-Resolution Time Series Generation through Dual Image Representationscited by 0
- 2026Linear Reusable Neural Bases Architecture for Network Compressioncited by 0
50 most cited of 52 All 52 (JSON)
- 2026Towards Looped Models Done Right, Part II: Rethinking at Fixed Points5 Oct 2026
- 2026ADPTNet: Adaptive with Prescriptive Timescales Non-Linear SSM for Sequence Modelling27 Sep 2026
- 2026Linear Reusable Neural Bases Architecture for Network Compression1 Sep 2026
- 2026MR-ImagenTime: Multi-Resolution Time Series Generation through Dual Image Representations30 Mar 2026
- 2026Lipschitz Multiscale Deep Equilibrium Models: A Theoretically Guaranteed and Accelerated Approach3 Feb 2026
- 2025Myosotis: structured computation for attention like layer24 Sep 2025
- 2025DEQuify your force field: More efficient simulations using deep equilibrium models10 Sep 2025
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoising21 Aug 2025
- 2025From Local Patterns to Global Understanding: Cross-Stock Trend Integration for Enhanced Predictive Modeling22 May 2025
- 2024DNF: Unconditional 4D Generation with Dictionary-based Neural Fields6 Dec 2024
- 2024Reparameterized Multi-Resolution Convolutions for Long Sequence Modelling18 Aug 2024
- 2024Short-Long Convolutions Help Hardware-Efficient Linear Attention to Focus on Long Sequences12 Jun 2024
38 more
- 2024LongVQ: Long Sequence Modeling with Vector Quantization on Structured Memory17 Apr 2024
- 2024Efficient State Space Model via Fast Tensor Convolution and Block Diagonalization23 Feb 2024
- 2024HyperZ·Z·W Operator Connects Slow-Fast Networks for Full Context Interaction31 Jan 2024
- 2023NAC-TCN: Temporal Convolutional Networks with Causal Dilated Neighborhood Attention for Emotion Understanding12 Dec 2023
- 2023Looped Transformers are Better at Learning Learning Algorithms21 Nov 2023
- 2023Contraction Properties of the Global Workspace Primitive2 Oct 2023
- 2023Parallelizing non-linear sequential models over the sequence length21 Sep 2023
- 2023Improving the Transferability of Time Series Forecasting with Decomposition Adaptation30 Jun 2023
- 2023The Tunnel Effect: Building Data Representations in Deep Neural Networks31 May 2023
- 2023A Quantitative Review on Language Model Efficiency Research28 May 2023
- 2023Sequence Modeling with Multiresolution Convolutional Memory2 May 2023
- 2023SMPConv: Self-moving Point Representations for Continuous Convolution5 Apr 2023
- 2022Liquid Structural State-Space Models26 Sep 2022
- 2022Image Classification using Sequence of Pixels23 Sep 2022
- 2022HAGCN : Network Decentralization Attention Based Heterogeneity-Aware Spatiotemporal Graph Convolution Network for Traffic Signal Forecasting5 Sep 2022
- 2022Simplified State Space Layers for Sequence Modeling9 Aug 2022
- 2022Stable Invariant Models via Koopman Spectra15 Jul 2022
- 2022On the Parameterization and Initialization of Diagonal State Space Models23 Jun 2022
- 2022Gradient Descent Optimizes Infinite-Depth ReLU Implicit Networks with Linear Widths16 May 2022
- 2022Representation Recycling for Streaming Video Analysis28 Apr 2022
- 2022Efficient Architecture Search for Diverse Tasks15 Apr 2022
- 2022Connections between Deep Equilibrium and Sparse Representation Models with Application to Hyperspectral Image Denoising29 Mar 2022
- 2022Deep Equilibrium Models for Video Snapshot Compressive Imaging18 Jan 2022
- 2021Implicit Feature Refinement for Instance Segmentation9 Dec 2021
- 2021Sliced Recursive Transformer9 Nov 2021
- 2021Efficiently Modeling Long Sequences with Structured State Spaces31 Oct 2021
- 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layers26 Oct 2021
- 2021FlexConv: Continuous Kernel Convolutions with Differentiable Kernel Sizes15 Oct 2021
- 2021A global convergence theory for deep ReLU implicit networks via over-parameterization11 Oct 2021
- 2021Speeding up Deep Model Training by Sharing Weights and Then Unsharing8 Oct 2021
- 2021A Survey of Sound Source Localization with Deep Learning Methods8 Sep 2021
- 2021SCINet: Time Series Modeling and Forecasting with Sample Convolution and Interaction17 Jun 2021
- 2021RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural Networks16 Jun 2021
- 2021Training Graph Neural Networks with 1000 Layers14 Jun 2021
- 2021Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networks8 Jun 2021
- 2021Rethinking Neural Operations for Diverse Tasks29 Mar 2021
- 2021The Uncanny Similarity of Recurrence and Depth22 Feb 2021
- 2021Deep Equilibrium Architectures for Inverse Problems in Imaging16 Feb 2021
50 newest of 52 All 52 (JSON)
- 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layerscited by 608
- 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 424
- 2021SCINet: Time Series Modeling and Forecasting with Sample Convolution and Interactioncited by 338
- 2021Training Graph Neural Networks with 1000 Layerscited by 169
- 2023Looped Transformers are Better at Learning Learning Algorithmscited by 149
- 2022Liquid Structural State-Space Modelscited by 136
- 2021Deep Equilibrium Architectures for Inverse Problems in Imagingcited by 127
- 2021CKConv: Continuous Kernel Convolution For Sequential Datacited by 120
- 2021Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networkscited by 117
- 2021FlexConv: Continuous Kernel Convolutions with Differentiable Kernel Sizescited by 66
- 2021A Survey of Sound Source Localization with Deep Learning Methodscited by 46
- 2023Parallelizing non-linear sequential models over the sequence lengthcited by 45
12 most cited of 48 All 48 (JSON)
- 2026ADPTNet: Adaptive with Prescriptive Timescales Non-Linear SSM for Sequence Modelling27 Sep 2026
- 2026Linear Reusable Neural Bases Architecture for Network Compression1 Sep 2026
- 2026MR-ImagenTime: Multi-Resolution Time Series Generation through Dual Image Representations30 Mar 2026
- 2026Lipschitz Multiscale Deep Equilibrium Models: A Theoretically Guaranteed and Accelerated Approach3 Feb 2026
- 2025Myosotis: structured computation for attention like layer24 Sep 2025
- 2025DEQuify your force field: More efficient simulations using deep equilibrium models10 Sep 2025
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoising21 Aug 2025
- 2025From Local Patterns to Global Understanding: Cross-Stock Trend Integration for Enhanced Predictive Modeling22 May 2025
- 2024DNF: Unconditional 4D Generation with Dictionary-based Neural Fields6 Dec 2024
- 2024Reparameterized Multi-Resolution Convolutions for Long Sequence Modelling18 Aug 2024
- 2024Short-Long Convolutions Help Hardware-Efficient Linear Attention to Focus on Long Sequences12 Jun 2024
- 2024LongVQ: Long Sequence Modeling with Vector Quantization on Structured Memory17 Apr 2024
12 newest of 48 All 48 (JSON)