Convolutional Differentiable Logic Gate Networks
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Abstract (arXiv)
With the increasing inference cost of machine learning models, there is a growing interest in models with fast and efficient inference. Recently, an approach for learning logic gate networks directly via a differentiable relaxation was proposed. Logic gate networks are faster than conventional neural network approaches because their inference only requires logic gate operators such as NAND, OR, and XOR, which are the underlying building blocks of current hardware and can be efficiently executed. We build on this idea, extending it by deep logic gate tree convolutions, logical OR pooling, and residual initializations. This allows scaling logic gate networks up by over one order of magnitude and utilizing the paradigm of convolution. On CIFAR-10, we achieve an accuracy of 86.29% using only 61 million logic gates, which improves over the SOTA while being 29x smaller.
Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). Builds on 28 of its 46 references that are in the map. First posted on arXiv 7 Nov 2024.
Builds on
28 of 46 references.
References · 28
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- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2016XNOR-Net: ImageNet Classification Using Binary Convolutional Neural Networkscited by 829
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- 2016FINN: A Framework for Fast, Scalable Binarized Neural Network Inferencecited by 141
- 2020Analyzing Differentiable Fuzzy Logic Operatorscited by 100
- 2022The Unreasonable Effectiveness of Random Pruning: Return of the Most Naive Baseline for Sparse Trainingcited by 85
- 2016Convolutional Networks for Fast, Energy-Efficient Neuromorphic Computingcited by 68
- 2022Deep Differentiable Logic Gate Networkscited by 67
- 2021Compute and Energy Consumption Trends in Deep Learning Inferencecited by 61
- 2022AdaBin: Improving Binary Neural Networks with Adaptive Binary Setscited by 38
- 2020FracBNN: Accurate and FPGA-Efficient Binary Neural Networks with Fractional Activationscited by 30
- 2019LUTNet: Rethinking Inference in FPGA Soft Logiccited by 27
- 2024Differentiable Weightless Neural Networkscited by 27
- 2019LUTNet: Learning FPGA Configurations for Highly Efficient Neural Network Inferencecited by 23
- 2019Balanced Binary Neural Networks with Gated Residualcited by 14
- 2022Don't Be So Dense: Sparse-to-Sparse GAN Training Without Sacrificing Performancecited by 7
- 2022A Scalable, Interpretable, Verifiable & Differentiable Logic Gate Convolutional Neural Network Architecture From Truth Tablescited by 4
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- 2023RedBit: An End-to-End Flexible Framework for Evaluating the Accuracy of Quantized CNNscited by 1
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Citing papers per year: 2025: 17; 2026: 20.
37 papers.
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- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
- 2025Differentiable Logic Cellular Automata: From Game of Life to Pattern Generationcited by 9
- 2025Light Differentiable Logic Gate Networkscited by 9
- 2025WARP-LUTs -- Walsh-Assisted Relaxation for Probabilistic Look Up Tablescited by 6
- 2025LILogic Net: Compact Logic Gate Networks with Learnable Connectivity for Efficient Hardware Deploymentcited by 6
- 2025A Method for Optimizing Connections in Differentiable Logic Gate Networkscited by 5
- 2025Logic Gate Neural Networks are Good for Verificationcited by 4
- 2025Scalable Interconnect Learning in Boolean Networkscited by 4
- 2025LL-ViT: Edge Deployable Vision Transformers with Look Up Table Neuronscited by 3
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regressioncited by 2
- 2026WARP Logic Neural Networkscited by 2
- 2026Polynomial Surrogate Training for Differentiable Ternary Logic Gate Networkscited by 2
25 more
- 2026Explicit Fuzzy Logic in the Feed-Forward Layer: Self-Forgetting Quantifiers Discover Legible Grammatical-Licensing Detectorscited by 2
- 2025From MNIST to ImageNet: Understanding the Scalability Boundaries of Differentiable Logic Gate Networkscited by 1
- 2025Differentiable Weightless Controllers: Learning Logic Circuits for Continuous Controlcited by 1
- 2026Inter-patient ECG Arrhythmia Classification with LGNs and LUTNscited by 1
- 2026Differentiable Logic Synthesis: Spectral Coefficient Selection via Sinkhorn-Constrained Compositioncited by 1
- 2026Learning Compact Boolean Networkscited by 1
- 2026BitLogic: Training Framework for Gradient-Based FPGA-Native Neural Networkscited by 1
- 2026LogicIR: Logic Gate Networks for Image Restorationcited by 1
- 2026FPGN: Redefining Ultra-Fast Programmable Gate-based Neural Acceleration with Differentiable LUTscited by 1
- 2025GLANCE: Graph Logic Attention Network with Cluster Enhancement for Heterophilous Graph Representation Learningcited by 0
- 2025Learning Interpretable Differentiable Logic Networks for Time-Series Classificationcited by 0
- 2025Logic of Hypotheses: from Zero to Full Knowledge in Neurosymbolic Integrationcited by 0
- 2025A Framework Based on Graph Cellular Automata for Similarity Evaluation in Urban Spatial Networkscited by 0
- 2025Hardware Software Optimizations for Fast Model Recovery on Reconfigurable Architecturescited by 0
- 2026Chimera: Neuro-Symbolic Attention Primitives for Trustworthy Dataplane Intelligencecited by 0
- 2026TT-Sparse: Learning Sparse Rule Models with Differentiable Truth Tablescited by 0
- 2026From Arithmetic to Logic: The Resilience of Logic and Lookup-Based Neural Networks Under Parameter Bit-Flipscited by 0
- 2026THEIA: Learning Complete Kleene Three-Valued Logic in a Pure-Neural Modular Architecturecited by 0
- 2026Silicon Aware Neural Networkscited by 0
- 2026Efficient Logic Gate Networks for Video Copy Detectioncited by 0
- 2026Fitting Multilinear Polynomials for Logic Gate Networkscited by 0
- 2026On the Stability and Realizability of Recurrent Polynomial Surrogate Ternary Logic Gate Networkscited by 0
- 2026Differentiable Logic Gate Networks for Low-Latency EEG Classification on Edge Devicescited by 0
- 2026Task-Aware Discretization of Differentiable Logic Gate Networkscited by 0
- 2026Overcoming Kernel Redundancy for Scaling Logic Gate Networkscited by 0
- 2026Overcoming Kernel Redundancy for Scaling Logic Gate Networks1 Oct 2026
- 2026Task-Aware Discretization of Differentiable Logic Gate Networks27 Sep 2026
- 2026Differentiable Logic Gate Networks for Low-Latency EEG Classification on Edge Devices20 Jul 2026
- 2026FPGN: Redefining Ultra-Fast Programmable Gate-based Neural Acceleration with Differentiable LUTs9 Jul 2026
- 2026Explicit Fuzzy Logic in the Feed-Forward Layer: Self-Forgetting Quantifiers Discover Legible Grammatical-Licensing Detectors30 Jun 2026
- 2026LogicIR: Logic Gate Networks for Image Restoration25 Jun 2026
- 2026On the Stability and Realizability of Recurrent Polynomial Surrogate Ternary Logic Gate Networks23 May 2026
- 2026Fitting Multilinear Polynomials for Logic Gate Networks9 May 2026
- 2026Efficient Logic Gate Networks for Video Copy Detection23 Apr 2026
- 2026Silicon Aware Neural Networks21 Apr 2026
- 2026THEIA: Learning Complete Kleene Three-Valued Logic in a Pure-Neural Modular Architecture13 Apr 2026
- 2026From Arithmetic to Logic: The Resilience of Logic and Lookup-Based Neural Networks Under Parameter Bit-Flips24 Mar 2026
25 more
- 2026TT-Sparse: Learning Sparse Rule Models with Differentiable Truth Tables8 Mar 2026
- 2026Polynomial Surrogate Training for Differentiable Ternary Logic Gate Networks27 Feb 2026
- 2026Chimera: Neuro-Symbolic Attention Primitives for Trustworthy Dataplane Intelligence13 Feb 2026
- 2026BitLogic: Training Framework for Gradient-Based FPGA-Native Neural Networks7 Feb 2026
- 2026Learning Compact Boolean Networks5 Feb 2026
- 2026WARP Logic Neural Networks3 Feb 2026
- 2026Differentiable Logic Synthesis: Spectral Coefficient Selection via Sinkhorn-Constrained Composition20 Jan 2026
- 2026Inter-patient ECG Arrhythmia Classification with LGNs and LUTNs16 Jan 2026
- 2025Hardware Software Optimizations for Fast Model Recovery on Reconfigurable Architectures5 Dec 2025
- 2025Differentiable Weightless Controllers: Learning Logic Circuits for Continuous Control1 Dec 2025
- 2025LILogic Net: Compact Logic Gate Networks with Learnable Connectivity for Efficient Hardware Deployment15 Nov 2025
- 2025LL-ViT: Edge Deployable Vision Transformers with Look Up Table Neurons2 Nov 2025
- 2025A Framework Based on Graph Cellular Automata for Similarity Evaluation in Urban Spatial Networks2 Nov 2025
- 2025WARP-LUTs -- Walsh-Assisted Relaxation for Probabilistic Look Up Tables17 Oct 2025
- 2025From MNIST to ImageNet: Understanding the Scalability Boundaries of Differentiable Logic Gate Networks30 Sep 2025
- 2025Light Differentiable Logic Gate Networks26 Sep 2025
- 2025Logic of Hypotheses: from Zero to Full Knowledge in Neurosymbolic Integration25 Sep 2025
- 2025Learning Interpretable Differentiable Logic Networks for Time-Series Classification24 Aug 2025
- 2025GLANCE: Graph Logic Attention Network with Cluster Enhancement for Heterophilous Graph Representation Learning24 Jul 2025
- 2025A Method for Optimizing Connections in Differentiable Logic Gate Networks8 Jul 2025
- 2025Scalable Interconnect Learning in Boolean Networks3 Jul 2025
- 2025Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation5 Jun 2025
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regression29 May 2025
- 2025Logic Gate Neural Networks are Good for Verification26 May 2025
- 2025A Comprehensive Survey on Self-Interpretable Neural Networks26 Jan 2025
- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
- 2025Differentiable Logic Cellular Automata: From Game of Life to Pattern Generationcited by 9
- 2025Light Differentiable Logic Gate Networkscited by 9
- 2025WARP-LUTs -- Walsh-Assisted Relaxation for Probabilistic Look Up Tablescited by 6
- 2025LILogic Net: Compact Logic Gate Networks with Learnable Connectivity for Efficient Hardware Deploymentcited by 6
- 2025A Method for Optimizing Connections in Differentiable Logic Gate Networkscited by 5
- 2025Logic Gate Neural Networks are Good for Verificationcited by 4
- 2025Scalable Interconnect Learning in Boolean Networkscited by 4
- 2025LL-ViT: Edge Deployable Vision Transformers with Look Up Table Neuronscited by 3
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regressioncited by 2
- 2026WARP Logic Neural Networkscited by 2
- 2026Polynomial Surrogate Training for Differentiable Ternary Logic Gate Networkscited by 2
12 most cited of 36 All 36 (JSON)
- 2026Overcoming Kernel Redundancy for Scaling Logic Gate Networks1 Oct 2026
- 2026Task-Aware Discretization of Differentiable Logic Gate Networks27 Sep 2026
- 2026Differentiable Logic Gate Networks for Low-Latency EEG Classification on Edge Devices20 Jul 2026
- 2026FPGN: Redefining Ultra-Fast Programmable Gate-based Neural Acceleration with Differentiable LUTs9 Jul 2026
- 2026Explicit Fuzzy Logic in the Feed-Forward Layer: Self-Forgetting Quantifiers Discover Legible Grammatical-Licensing Detectors30 Jun 2026
- 2026LogicIR: Logic Gate Networks for Image Restoration25 Jun 2026
- 2026On the Stability and Realizability of Recurrent Polynomial Surrogate Ternary Logic Gate Networks23 May 2026
- 2026Fitting Multilinear Polynomials for Logic Gate Networks9 May 2026
- 2026Efficient Logic Gate Networks for Video Copy Detection23 Apr 2026
- 2026Silicon Aware Neural Networks21 Apr 2026
- 2026THEIA: Learning Complete Kleene Three-Valued Logic in a Pure-Neural Modular Architecture13 Apr 2026
- 2026From Arithmetic to Logic: The Resilience of Logic and Lookup-Based Neural Networks Under Parameter Bit-Flips24 Mar 2026
12 newest of 36 All 36 (JSON)