Principal Component Analysis

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Period ending 2026-09-14

8 new papers

A weekly snapshot of new work published in Principal Component Analysis.

Period ending 2026-09-07

4 new papers

A weekly snapshot of new work published in Principal Component Analysis.

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343 papers

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  1. Symmetry without a manifold: intrinsic dimension on orbits

    Sep 15, 2026Chon-Fai Kam, Miloud Bessafi, Frédéric CadetIntrinsic DimensionalityScaling Laws

  2. Rotation-Based Subspace Tracking for Robust Kernel PCA on Streaming Data

    Sep 14, 2026Kris Lokere, John FossacecaPrincipal Component Analysis

  3. GeoTrussRover: Morphological Computation with Contact-Semantic Control Primitives

    Sep 11, 2026Muyuan Ma, Yi Zhang, Yang Yang +12TraversabilityPlanetary Rover

  4. Learning with Covariance Matrices: Principal Component Analysis Meets Learning with Graphs

    Sep 9, 2026Saurabh Sihag, Andrea Cavallo, Elvin Isufi +2Covariance EstimationGraph Neural Networks

  5. Dimensionality Reduction for Hyperspectral Image Classification

    Sep 9, 2026Mohamed Cherifi, Ammar Mesloub, Mohammed Nabil El Korso +2Hyperspectral Image ClassificationDimensionality Reduction

  6. A Kernel-Based Modular Discriminant Analysis Framework for Small-Sample Learning

    Sep 9, 2026Lingxiao Qu, Yan PeiPrincipal Component AnalysisSample Size

  7. Exact Degeneracy Under Balanced k-Shot Sampling:Consequences for Small-Sample Discriminant Analysis on LLM Embeddings

    Sep 9, 2026Lingxiao QuFew-Shot LearningPrincipal Component Analysis

  8. Bayesian Matrix-Valued Graphs for Context-Dependent Multivariate Relationships

    Sep 7, 2026Papri DeyCompact Matrix FactorizationBayesian Inference Approaches

  9. Two-Scale Localized PCA-Net: Coarse-Global and Local-Residual Representations for Artifact-Reduced PDE Operator Learning

    Sep 7, 2026Mrigank Dhingra, Jordan Stout, Omer SanPartial Differential EquationsMulti-Scale Convolution

  10. CLUES-WEASEL: No additional clues required to choose your time series clustering algorithm

    Sep 7, 2026Johann FaouziTime-Series ClassificationClustering

  11. Calendar-Structured Sparse Principal Component Analysis for Interpretable Multi-Periodic Electricity Consumption Profiles

    Sep 5, 2026Carlos Quesada-Granja, Tony Castillo-Calzadilla, Carlos Rizo-MaestreEnergy ForecastingPrincipal Component Analysis

  12. The Head Complexity of Boolean Functions in Single-Layer Attention

    Sep 3, 2026Rajmohan Rajaraman, Ravi Sundaram, Amanuel TesfayeMulti-Head AttentionIntrinsic Dimensionality

  13. Residual neural networks overcome the curse of dimensionality for semilinear heat equations

    Sep 3, 2026Ilkhom Mukhammadiev, Diyora SalimovaNeural-Network ApproximationResidual Connections

  14. Manifold-Aware General Coded Computing for Straggler-Resilient Distributed Computing

    Sep 1, 2026Parsa Moradi, Mohammad Ali Maddah-AliSource-Channel CodingDistributed Optimization

  15. Sharp Approximation Rates for Neural Networks with Affine Latent Parameterizations

    Aug 31, 2026Shijun ZhangNeural-Network ApproximationArtificial Neural Networks

  16. Stochastic complexity of vectors containing cluster structure

    Aug 31, 2026Daniel Nicorici, Olli Yli-Harja, Jaakko AstolaClusterOptimal Sample Complexity

  17. Partially Linear Autoencoders for Manifold Learning and Dimensionality Reduction

    Aug 30, 2026Louen Pottier, Louis Lesueur, Anders ThorinAutoencoderDimensionality Reduction

  18. A Hub of Short Rows Inflates Intrinsic Dimension Estimation of Token Embeddings

    Aug 30, 2026Alexandre QuemyIntrinsic DimensionalityLarge Language Model Scale

  19. Revenge of Monosemanticity: Neuron Specialization as a New Form of Feature Learning in MLPs

    Aug 25, 2026Amirhesam Abedsoltan, Enric Boix-Adsera, Fivos Kalogiannis +1Feature LearningMultilayer Perceptrons

  20. Decision Tree and K-Means Analysis of Raman Spectra for Edible Oils: A Physics-Informed AI Approach

    Aug 20, 2026Amrita Shaw, Chandrasekar S. N., Sai Muthukumar V. +2Non-Destructive Frying Oil Oxidation AssessmentRaman

  21. High-dimensional networks and mean squared error for possibly misspecified models

    Aug 13, 2026Lourens WaldorpLassoHigh-Dimensional

  22. DMDIntel: Interpreting Large Language Models via Dynamic Mode Decomposition

    Aug 13, 2026Amogh Joshi, Animesh Mukherjee, Sergey UtyuzhnikovFeature AttributionRtx

  23. DYSANOS Generative Dynamic Smooth Arbitrage-free Non-parametric Option Surfaces

    Aug 12, 2026Hans Buehler, Blanka Horvath, Anastasis KratsiosDerivative PricingArbitrage

  24. Towards Truly Unsupervised Evaluation of Feature Selection -- Extended Version

    Aug 12, 2026Hafiz Saud Arshad, Muhammad Rajabinasab, Arthur ZimekFeature SelectionUnsupervised

  25. High-dimensional Multi-objective Bayesian Optimization with Learned Variable Interactions

    Aug 12, 2026Hongyan Wang, Jiayu Huang, Haotian Zheng +6Multi-Objective OptimizationBayesian Optimization

  26. Towards an approach to multivariate outlier detection for District Heating System data

    Aug 11, 2026Rajko Turudija, Dušan Stojiljković, Milan Zdravković +1OutliersRenewable Penetration

  27. FiGuRO: Intrinsic Dimension Estimation for Multi-Modal Data

    Aug 11, 2026Viktoria Schuster, Sana Tonekaboni, Caroline UhlerIntrinsic DimensionalityMultimodal Learning

  28. Iterative Erasure Count Is Not an Affine-Invariant Concept Dimension

    Aug 11, 2026Tingan Jin, Shuhang Dong, Haosong Li +1Intrinsic DimensionalityConcept Erasure

  29. Accelerated Learning of High Dimensional Functions with a Tensor-Featured Training Network

    Aug 11, 2026Karl Pierce, Yuehaw Khoo, Haizhao YangLow-Rank Tensor DecompositionHigh-Dimensional

  30. CosMAP: Contrastive Manifold Approximation and Projection for Dimensionality Reduction of Omics and Genealogical Data

    Aug 11, 2026Fenosoa Randrianjatovo, Maya Saleh, Simon Girard +1Dimensionality ReductionSingle-Cell Rna

  31. A Convolutional Layer Activation Dimensionality Reduction for Out-of-Distribution and Adversarial Attack Detection Methods

    Aug 10, 2026Leandro de Souza Rosa, Lorenzo Capelli, Clara Nunes Barrancos +2Out-Of-Distribution Detection PerformanceConvolutional Layers

  32. P3CA: Encoder-Agnostic Interpretation of Vision Foundation Model Embeddings via Spatial Probing

    Aug 10, 2026Amoon Jamzad, Dilakshan Srikanthan, Faranak Akbarifar +23D Foundation ModelsPrincipal Component Analysis

  33. Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery

    Aug 9, 2026Zeqin Lin, Guangming Pan, Zhixiang Zhang +1Spectral AlgorithmsHigh-Dimensional

  34. A Combined Feature-Based Framework for Disguise and Spoofing Detection in Face Recognition Systems

    Aug 9, 2026Sangiya PararajasinghamFace Recognition SystemsSpoofed Speech

  35. High-dimensional ridgeless least squares interpolation under spiked covariance structures

    Aug 7, 2026Zhijun Liu, Dandan JiangKernel Ridge RegressionCovariance Estimation

  36. Flow-Corrected Shape Optimization: Taming Manifold Drift in High-Dimensional 3D Models

    Aug 7, 2026Emilien Seiler, Nicolas Talabot, Yingxuan You +2Shape Optimization3D Generation

  37. Bridging the Gap Between Hyperdimensional Computing and Kernel Methods via the Nyström Method

    Aug 7, 2026Quanling Zhao, Anthony Hitchcock Thomas, Ari Brin +2High-DimensionalHypergraphs

  38. Autonomy-of-Heads: Data-Free Sparse Attention from Frozen Query-Key Geometry

    Aug 7, 2026Yehan Yang, Junyuan Shang, Yang Li +3Dynamic Sparse AttentionLLM Inference Efficiency

  39. Intrinsic-Hybrid Latent Diffusion Models for Generative Modeling on Unknown Manifolds

    Aug 5, 2026Yizhu Wang, Mu Niu, Xiaochen YangConditional Latent DiffusionLatent Diffusion Model

  40. Training-Free Hashing-Based Attention via Binary Principal Components

    Aug 5, 2026Daohai Yu, Zhanpeng Zeng, Keyu Chen +6Dynamic Sparse AttentionEfficient Long-Context Inference

  41. SAKI: Score-Aware Low-Rank Key Indexing with Random-Matrix Noise Correction for KV Retrieval

    Aug 4, 2026Lin ZhangKey-Value CacheKey-Value

  42. Detecting high-frequency brain disorder signals using dynamic mode decomposition from EEG

    Aug 3, 2026Jacob Kang, Jong-Hyeon SeoElectroencephalogramHigh-Frequency Reconstruction

  43. Stochastic Sequential Search in Very-High-Dimensional Feature Selection

    Aug 2, 2026Petr Somol, Jiří GrimFeature SelectionHigh-Dimensional

  44. Measuring Distortion in the Empty Regions of Dimensionality Reduction Scatterplots with the Gap Index

    Jul 30, 2026Jaume Ros, Alessio Arleo, Fernando PaulovichDimensionality ReductionDistortion

  45. Sparsity Induced Identifiability in Matrix Tri-Factorisation

    Jul 29, 2026Tingting MuCompact Matrix FactorizationSparsity

  46. FADEx: Feature Attribution and Distortion-based Explanation of Dimensionality Reduction

    Jul 29, 2026Lucas Greff Meneses, Evandro S. Ortigossa, Claudio Silva +1Dimensionality ReductionConcept-Based Explainability

  47. Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams

    Jul 29, 2026Kaifeng Zhang, Kai Ming TingPersistent HomologyVoronoi Regions

  48. Origins and mitigation of double descent in reduced order modeling

    Jul 29, 2026Andrei A. Klishin, J. Nathan Kutz, Krithika ManoharSparse ObservationsLow-Dimensional Structure

  49. FloDR: An invertible dimensionality reduction method based on a normalising flow

    Jul 28, 2026Abdallah Baraka, Daniel ProbstDimensionality ReductionNormalizing Flows

  50. When Does Deep Representation Learning Help Single-Cell Clustering? A Sensitivity-Aware Diagnostic Benchmark for Biomedical AI Pipelines

    Jul 28, 2026Nguyen Thanh Phong, Truong Viet Vu, Nguyen Ha Thu +4Single-Cell RnaClustering

  51. Causal-TS: A Python Library for Causal Discovery in High-Dimensional and Nonstationary Time Series

    Jul 27, 2026Mohammad FesangharyCausal DiscoveryTime Series

  52. Mechanisms of Width Scaling in Normalized Residual Networks: The Effective Alignment Dimension

    Jul 27, 2026Jinhao Zhang, Zeyu Liu, Zicheng Yan +4Residual ConnectionsResidual Learning

  53. Integrating Factual and Normative Industrial Knowledge via Constraint-Aware Graph Attention for Process Plan Recommendation

    Jul 27, 2026Yuntong Chen, Yingqi Li, Yingying Xiao +5Collaborative FilteringPlanner

  54. Neural operator discovery from heterogeneous trajectories

    Jul 25, 2026Zituo Chen, Qiaofeng Li, Jiaxin Hu +1Neural OperatorsSolution Operator

  55. Variance-Preserving Orthogonal Selection (VPOS): Greedy Feature Selection via Orthogonal Deflation in PCA Loading Space

    Jul 25, 2026Baran Koseoglu, Berrin YanikogluFeature SelectionPrincipal Component Analysis

  56. The Entropic Bound for Transformers: Why Static Rank Fails and Attention-Native Rank Recovers

    Jul 25, 2026Byeong Hoon YoonLow-Rank FactorizationIntrinsic Dimensionality

  57. Projection Pursuit CPCANet for Domain Generalization

    Jul 24, 2026Yu-Hsi Chen, Abd-Krim SeghouaneMultimodal Domain GeneralizationDistributional Learning

  58. Data eccentricity, asymptotics of Gaussian RBF reproducing kernel Hilbert space, and kernel PCA

    Jul 23, 2026Sergio A. AlvarezReproducing Kernel Hilbert SpacesPrincipal Component Analysis

  59. The Blessing of Dimensionality: How Near-Orthogonality in High-Dimensional Spaces Explains Temporal Portability

    Jul 22, 2026Abigail Woodring, Adrian Chan, Rana Muhammad Shahroz Khan +3Large Language Model AdaptationModel Pretraining

  60. Non--negative matrix factorization using the \textit{R} package \textsf{nnmf}

    Jul 22, 2026Volkan Sevinç, Nikolas Kontemeniotis, Theodoros Perdikis +1Nonnegative Matrix FactorizationDimensionality Reduction