Laplacian Regularized Few-Shot Learning
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Abstract (arXiv)
We propose a transductive Laplacian-regularized inference for few-shot tasks. Given any feature embedding learned from the base classes, we minimize a quadratic binary-assignment function containing two terms: (1) a unary term assigning query samples to the nearest class prototype, and (2) a pairwise Laplacian term encouraging nearby query samples to have consistent label assignments. Our transductive inference does not re-train the base model, and can be viewed as a graph clustering of the query set, subject to supervision constraints from the support set. We derive a computationally efficient bound optimizer of a relaxation of our function, which computes independent (parallel) updates for each query sample, while guaranteeing convergence. Following a simple cross-entropy training on the base classes, and without complex meta-learning strategies, we conducted comprehensive experiments over five few-shot learning benchmarks. Our LaplacianShot consistently outperforms state-of-the-art methods by significant margins across different models, settings, and data sets. Furthermore, our transductive inference is very fast, with computational times that are close to inductive inference, and can be used for large-scale few-shot tasks.
Key facts. Cited by 90 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Jun 2020.
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Citing papers per year: 2021: 25; 2022: 24; 2023: 16; 2024: 13; 2025: 7; 2026: 5.
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- 2022Parameter-free Online Test-time Adaptationcited by 184
- 2022A Comprehensive Survey of Few-shot Learning: Evolution, Applications, Challenges, and Opportunitiescited by 162
- 2022Learning from Few Examples: A Summary of Approaches to Few-Shot Learningcited by 86
- 2021Relational Embedding for Few-Shot Classificationcited by 74
- 2022Joint Distribution Matters: Deep Brownian Distance Covariance for Few-Shot Classificationcited by 50
- 2024Boosting Vision-Language Models with Transductioncited by 36
- 2024Transductive Zero-Shot and Few-Shot CLIPcited by 31
- 2021Meta Discovery: Learning to Discover Novel Classes given Very Limited Datacited by 30
- 2023Transductive Few-shot Learning with Prototype-based Label Propagation by Iterative Graph Refinementcited by 30
- 2022Realistic Evaluation of Transductive Few-Shot Learningcited by 26
- 2021Transductive Few-Shot Classification on the Oblique Manifoldcited by 23
- 2022Inductive and Transductive Few-Shot Video Classification via Appearance and Temporal Alignmentscited by 22
38 more
- 2022A Strong Baseline for Generalized Few-Shot Semantic Segmentationcited by 22
- 2023Bilevel Fast Scene Adaptation for Low-Light Image Enhancementcited by 22
- 2022FHIST: A Benchmark for Few-shot Classification of Histological Imagescited by 20
- 2021Reinforced Attention for Few-Shot Learning and Beyondcited by 18
- 2022EASY: Ensemble Augmented-Shot Y-shaped Learning: State-Of-The-Art Few-Shot Classification with Simple Ingredientscited by 15
- 2022POODLE: Improving Few-shot Learning via Penalizing Out-of-Distribution Samplescited by 15
- 2021Squeezing Backbone Feature Distributions to the Max for Efficient Few-Shot Learningcited by 14
- 2025Realistic Test-Time Adaptation of Vision-Language Modelscited by 14
- 2024Few-Shot Learning with Uncertainty-based Quadruplet Selection for Interference Classification in GNSS Datacited by 12
- 2021MetaNODE: Prototype Optimization as a Neural ODE for Few-Shot Learningcited by 11
- 2023Hubs and Hyperspheres: Reducing Hubness and Improving Transductive Few-shot Learning with Hyperspherical Embeddingscited by 11
- 2021MetaDelta: A Meta-Learning System for Few-shot Image Classificationcited by 10
- 2022Adaptive Dimension Reduction and Variational Inference for Transductive Few-Shot Classificationcited by 10
- 2023Open-Set Likelihood Maximization for Few-Shot Learningcited by 10
- 2022Towards Practical Few-Shot Query Sets: Transductive Minimum Description Length Inferencecited by 9
- 2021Nearest Neighbour Few-Shot Learning for Cross-lingual Classificationcited by 8
- 2023Prototypes-oriented Transductive Few-shot Learning with Conditional Transportcited by 8
- 2024Enhancing Remote Sensing Vision-Language Models for Zero-Shot Scene Classificationcited by 8
- 2024Boosting Vision-Language Models for Histopathology Classification: Predict all at oncecited by 8
- 2021Unsupervised Embedding Adaptation via Early-Stage Feature Reconstruction for Few-Shot Classificationcited by 7
- 2021Prototype Completion for Few-Shot Learningcited by 7
- 2021Fine-Grained Few Shot Learning with Foreground Object Transformationcited by 7
- 2022The Self-Optimal-Transport Feature Transformcited by 7
- 2022Transductive Decoupled Variational Inference for Few-Shot Classificationcited by 7
- 2021MHFC: Multi-Head Feature Collaboration for Few-Shot Learningcited by 6
- 2021Diffusion Mechanism in Residual Neural Network: Theory and Applicationscited by 5
- 2021MDFM: Multi-Decision Fusing Model for Few-Shot Learningcited by 5
- 2022GCT: Graph Co-Training for Semi-Supervised Few-Shot Learningcited by 5
- 2024Cross-Architecture Auxiliary Feature Space Translation for Efficient Few-Shot Personalized Object Detectioncited by 5
- 2025Backpropagation-Free Test-Time Adaptation via Probabilistic Gaussian Alignmentcited by 5
- 2021Transductive Few-Shot Learning: Clustering is All You Need?cited by 4
- 2021Automated Human Cell Classification in Sparse Datasets using Few-Shot Learningcited by 4
- 2021Learning Instance and Task-Aware Dynamic Kernels for Few Shot Learningcited by 4
- 2022Kernel Relative-prototype Spectral Filtering for Few-shot Learningcited by 4
- 2023Adaptive manifold for imbalanced transductive few-shot learningcited by 4
- 2023DAC-MR: Data Augmentation Consistency Based Meta-Regularization for Meta-Learningcited by 4
- 2023Transductive Learning for Textual Few-Shot Classification in API-based Embedding Modelscited by 4
- 2022Model-Agnostic Few-Shot Open-Set Recognitioncited by 2
50 most cited of 90 All 90 (JSON)
- 2026Training-Free Spectral Transductive Refinement for Cross-Domain Few-Shot Classification20 Sep 2026
- 2026Are We Really Doing Few-Shot Learning? A Critical Examination of Pre-Training Assumptions9 Sep 2026
- 2026BIDETA: Brain-Inspired Data-Efficient Tactile Adaptation for Unseen Sensors8 Sep 2026
- 2026SpurAudio: A Benchmark for Studying Shortcut Learning in Few-Shot Audio Classification13 May 2026
- 2026Can One-Shot Test-Time Data Augmentation Help with Generalization?27 Jan 2026
- 2025Language-Aware Information Maximization for Transductive Few-Shot CLIP30 Aug 2025
- 2025Backpropagation-Free Test-Time Adaptation via Probabilistic Gaussian Alignment21 Aug 2025
- 2025ViT-ProtoNet for Few-Shot Image Classification: A Multi-Benchmark Evaluation12 Jul 2025
- 2025Transductive One-Shot Learning Meet Subspace Decomposition1 Apr 2025
- 2025Unbiased Max-Min Embedding Classification for Transductive Few-Shot Learning: Clustering and Classification Are All You Need28 Mar 2025
- 2025Membership Inference Attacks fueled by Few-Short Learning to detect privacy leakage tackling data integrity12 Mar 2025
- 2025Realistic Test-Time Adaptation of Vision-Language Models7 Jan 2025
38 more
- 2024UNEM: UNrolled Generalized EM for Transductive Few-Shot Learning21 Dec 2024
- 2024Cross-Domain Evaluation of Few-Shot Classification Models: Natural Images vs. Histopathological Images11 Oct 2024
- 2024Packet Inspection Transformer: A Self-Supervised Journey to Unseen Malware Detection with Few Samples26 Sep 2024
- 2024Boosting Vision-Language Models for Histopathology Classification: Predict all at once3 Sep 2024
- 2024Enhancing Remote Sensing Vision-Language Models for Zero-Shot Scene Classification1 Sep 2024
- 2024Few-Shot Histopathology Image Classification: Evaluating State-of-the-Art Methods and Unveiling Performance Insights25 Aug 2024
- 2024EOL: Transductive Few-Shot Open-Set Recognition by Enhancing Outlier Logits4 Aug 2024
- 2024Cross-Architecture Auxiliary Feature Space Translation for Efficient Few-Shot Personalized Object Detection1 Jul 2024
- 2024The Balanced-Pairwise-Affinities Feature Transform25 Jun 2024
- 2024Boosting Vision-Language Models with Transduction3 Jun 2024
- 2024Transductive Zero-Shot and Few-Shot CLIP8 Apr 2024
- 2024Convection-Diffusion Equation: A Theoretically Certified Framework for Neural Networks23 Mar 2024
- 2024Few-Shot Learning with Uncertainty-based Quadruplet Selection for Interference Classification in GNSS Data9 Feb 2024
- 2023Robust Transductive Few-shot Learning via Joint Message Passing and Prototype-based Soft-label Propagation28 Nov 2023
- 2023Adaptive Anchor Label Propagation for Transductive Few-Shot Learning30 Oct 2023
- 2023PPFL: A Personalized Federated Learning Framework for Heterogeneous Population22 Oct 2023
- 2023Transductive Learning for Textual Few-Shot Classification in API-based Embedding Models21 Oct 2023
- 2023Language-Guided Reinforcement Learning for Hard Attention in Few-Shot Learning11 Oct 2023
- 2023Prototypes-oriented Transductive Few-shot Learning with Conditional Transport6 Aug 2023
- 2023Few-shot Image Classification based on Gradual Machine Learning28 Jul 2023
- 2023LPN: Language-guided Prototypical Network for few-shot classification4 Jul 2023
- 2023Bilevel Fast Scene Adaptation for Low-Light Image Enhancement2 Jun 2023
- 2023DAC-MR: Data Augmentation Consistency Based Meta-Regularization for Meta-Learning13 May 2023
- 2023Joint Graph Learning and Model Fitting in Laplacian Regularized Stratified Models4 May 2023
- 2023Adaptive manifold for imbalanced transductive few-shot learning27 Apr 2023
- 2023Transductive Few-shot Learning with Prototype-based Label Propagation by Iterative Graph Refinement23 Apr 2023
- 2023Task Adaptive Feature Transformation for One-Shot Learning13 Apr 2023
- 2023Hubs and Hyperspheres: Reducing Hubness and Improving Transductive Few-shot Learning with Hyperspherical Embeddings16 Mar 2023
- 2023Open-Set Likelihood Maximization for Few-Shot Learning20 Jan 2023
- 2022A Statistical Model for Predicting Generalization in Few-Shot Classification13 Dec 2022
- 2022A Maximum Log-Likelihood Method for Imbalanced Few-Shot Learning Tasks26 Nov 2022
- 2022A Strong Baseline for Generalized Few-Shot Semantic Segmentation25 Nov 2022
- 2022Towards Practical Few-Shot Query Sets: Transductive Minimum Description Length Inference26 Oct 2022
- 2022Active Few-Shot Classification: a New Paradigm for Data-Scarce Learning Settings23 Sep 2022
- 2022Adaptive Dimension Reduction and Variational Inference for Transductive Few-Shot Classification18 Sep 2022
- 2022Not All Instances Contribute Equally: Instance-adaptive Class Representation Learning for Few-Shot Visual Recognition7 Sep 2022
- 2022Transductive Decoupled Variational Inference for Few-Shot Classification22 Aug 2022
- 2022Simplex Clustering via sBeta with Applications to Online Adjustment of Black-Box Predictions30 Jul 2022
50 newest of 90 All 90 (JSON)
- 2024Boosting Vision-Language Models with Transductioncited by 36
- 2025Realistic Test-Time Adaptation of Vision-Language Modelscited by 14
- 2024Enhancing Remote Sensing Vision-Language Models for Zero-Shot Scene Classificationcited by 8
- 2024Boosting Vision-Language Models for Histopathology Classification: Predict all at oncecited by 8
- 2025Language-Aware Information Maximization for Transductive Few-Shot CLIPcited by 0
- 2025Language-Aware Information Maximization for Transductive Few-Shot CLIP30 Aug 2025
- 2025Realistic Test-Time Adaptation of Vision-Language Models7 Jan 2025
- 2024Boosting Vision-Language Models for Histopathology Classification: Predict all at once3 Sep 2024
- 2024Enhancing Remote Sensing Vision-Language Models for Zero-Shot Scene Classification1 Sep 2024
- 2024Boosting Vision-Language Models with Transduction3 Jun 2024
- 2022Parameter-free Online Test-time Adaptationcited by 184
- 2022A Comprehensive Survey of Few-shot Learning: Evolution, Applications, Challenges, and Opportunitiescited by 162
- 2022Learning from Few Examples: A Summary of Approaches to Few-Shot Learningcited by 86
- 2021Relational Embedding for Few-Shot Classificationcited by 74
- 2022Joint Distribution Matters: Deep Brownian Distance Covariance for Few-Shot Classificationcited by 50
- 2024Transductive Zero-Shot and Few-Shot CLIPcited by 31
- 2021Meta Discovery: Learning to Discover Novel Classes given Very Limited Datacited by 30
- 2023Transductive Few-shot Learning with Prototype-based Label Propagation by Iterative Graph Refinementcited by 30
- 2022Realistic Evaluation of Transductive Few-Shot Learningcited by 26
- 2021Transductive Few-Shot Classification on the Oblique Manifoldcited by 23
- 2022Inductive and Transductive Few-Shot Video Classification via Appearance and Temporal Alignmentscited by 22
- 2022A Strong Baseline for Generalized Few-Shot Semantic Segmentationcited by 22
12 most cited of 84 All 84 (JSON)
- 2026Training-Free Spectral Transductive Refinement for Cross-Domain Few-Shot Classification20 Sep 2026
- 2026Are We Really Doing Few-Shot Learning? A Critical Examination of Pre-Training Assumptions9 Sep 2026
- 2026BIDETA: Brain-Inspired Data-Efficient Tactile Adaptation for Unseen Sensors8 Sep 2026
- 2026SpurAudio: A Benchmark for Studying Shortcut Learning in Few-Shot Audio Classification13 May 2026
- 2026Can One-Shot Test-Time Data Augmentation Help with Generalization?27 Jan 2026
- 2025Backpropagation-Free Test-Time Adaptation via Probabilistic Gaussian Alignment21 Aug 2025
- 2025ViT-ProtoNet for Few-Shot Image Classification: A Multi-Benchmark Evaluation12 Jul 2025
- 2025Transductive One-Shot Learning Meet Subspace Decomposition1 Apr 2025
- 2025Unbiased Max-Min Embedding Classification for Transductive Few-Shot Learning: Clustering and Classification Are All You Need28 Mar 2025
- 2024UNEM: UNrolled Generalized EM for Transductive Few-Shot Learning21 Dec 2024
- 2024Cross-Domain Evaluation of Few-Shot Classification Models: Natural Images vs. Histopathological Images11 Oct 2024
- 2024Packet Inspection Transformer: A Self-Supervised Journey to Unseen Malware Detection with Few Samples26 Sep 2024
12 newest of 84 All 84 (JSON)