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Estimating the intrinsic dimension of datasets by a minimal neighborhood
  information

Estimating the intrinsic dimension of datasets by a minimal neighborhood information

19 March 2018
Elena Facco
M. d’Errico
Alex Rodriguez
Alessandro Laio
ArXiv (abs)PDFHTML

Papers citing "Estimating the intrinsic dimension of datasets by a minimal neighborhood information"

50 / 163 papers shown
Concentration bounds for intrinsic dimension estimation using Gaussian kernels
Concentration bounds for intrinsic dimension estimation using Gaussian kernels
Martin Andersson
290
0
0
04 Dec 2025
Universally Converging Representations of Matter Across Scientific Foundation Models
Universally Converging Representations of Matter Across Scientific Foundation Models
Sathya Edamadaka
Soojung Yang
Ju Li
Rafael Gómez-Bombarelli
AI4CE
268
7
0
03 Dec 2025
From Topology to Retrieval: Decoding Embedding Spaces with Unified Signatures
From Topology to Retrieval: Decoding Embedding Spaces with Unified Signatures
Florian Rottach
William Rudman
Bastian Rieck
Harrisen Scells
Carsten Eickhoff
187
0
0
27 Nov 2025
Geometry of Decision Making in Language Models
Geometry of Decision Making in Language Models
Abhinav Joshi
Divyanshu Bhatt
Ashutosh Modi
AI4CELRM
347
3
0
25 Nov 2025
Unveiling Intrinsic Dimension of Texts: from Academic Abstract to Creative Story
Unveiling Intrinsic Dimension of Texts: from Academic Abstract to Creative Story
Vladislav Pedashenko
Laida Kushnareva
Yana Khassan Nibal
Eduard Tulchinskii
Kristian Kuznetsov
Vladislav Zharchinskii
Yury Maximov
Irina Piontkovskaya
248
0
0
19 Nov 2025
Logit-Based Losses Limit the Effectiveness of Feature Knowledge Distillation
Logit-Based Losses Limit the Effectiveness of Feature Knowledge Distillation
Nicholas Cooper
Lijun Chen
Sailesh Dwivedy
Danna Gurari
182
0
0
18 Nov 2025
Emergent Convergence in Multi-Agent LLM Annotation
Emergent Convergence in Multi-Agent LLM Annotation
Angelina Parfenova
Alexander Denzler
Juergen Pfeffer
LLMAG
73
0
0
17 Nov 2025
Measuring the Intrinsic Dimension of Earth Representations
Measuring the Intrinsic Dimension of Earth Representations
Arjun Rao
M. Rußwurm
Konstantin Klemmer
Esther Rolf
336
4
0
03 Nov 2025
Beyond PCA: Manifold Dimension Estimation via Local Graph Structure
Beyond PCA: Manifold Dimension Estimation via Local Graph Structure
Zelong Bi
Pierre Lafaye de Micheaux
142
0
0
16 Oct 2025
A Connection Between Score Matching and Local Intrinsic Dimension
A Connection Between Score Matching and Local Intrinsic Dimension
Eric Yeats
Aaron Jacobson
Darryl Hannan
Yiran Jia
T. Doster
Henry Kvinge
Scott Mahan
DiffM
259
1
0
14 Oct 2025
Geometric Properties of Neural Multivariate Regression
Geometric Properties of Neural Multivariate Regression
George Andriopoulos
Zixuan Dong
Bimarsha Adhikari
Keith Ross
188
1
0
01 Oct 2025
Quantum-inspired Benchmark for Estimating Intrinsic Dimension
Quantum-inspired Benchmark for Estimating Intrinsic Dimension
Aritra Das
Joseph T. Iosue
Victor V. Albert
125
0
0
01 Oct 2025
Estimating Dimensionality of Neural Representations from Finite Samples
Estimating Dimensionality of Neural Representations from Finite Samples
Chanwoo Chun
Abdulkadir Canatar
SueYeon Chung
Daniel D. Lee
133
1
0
30 Sep 2025
Latent Thinking Optimization: Your Latent Reasoning Language Model Secretly Encodes Reward Signals in Its Latent Thoughts
Latent Thinking Optimization: Your Latent Reasoning Language Model Secretly Encodes Reward Signals in Its Latent Thoughts
Hanwen Du
Yuxin Dong
Xia Ning
LRMAI4CE
251
5
0
30 Sep 2025
Demystifying Network Foundation Models
Demystifying Network Foundation Models
Sylee
Beltiukov
Satyandra Guthula
Wenbo Guo
W. Willinger
331
1
0
27 Sep 2025
REMA: A Unified Reasoning Manifold Framework for Interpreting Large Language Model
REMA: A Unified Reasoning Manifold Framework for Interpreting Large Language Model
Bo Li
Guanzhi Deng
Ronghao Chen
Junrong Yue
Shuo Zhang
Qinghua Zhao
Linqi Song
Lijie Wen
LRM
167
1
0
26 Sep 2025
Sensory robustness through top-down feedback and neural stochasticity in recurrent vision models
Sensory robustness through top-down feedback and neural stochasticity in recurrent vision models
Antonino Greco
Marco DÁlessandro
Karl J. Friston
G. Pezzulo
Markus Siegel
163
0
0
09 Aug 2025
Geometry of Neural Reinforcement Learning in Continuous State and Action Spaces
Geometry of Neural Reinforcement Learning in Continuous State and Action SpacesInternational Conference on Learning Representations (ICLR), 2025
Saket Tiwari
Omer Gottesman
George Konidaris
384
3
0
28 Jul 2025
On Convolutions, Intrinsic Dimension, and Diffusion Models
On Convolutions, Intrinsic Dimension, and Diffusion Models
Kin Kwan Leung
Rasa Hosseinzadeh
Gabriel Loaiza-Ganem
DiffM
196
0
0
25 Jun 2025
Stretching Beyond the Obvious: A Gradient-Free Framework to Unveil the Hidden Landscape of Visual Invariance
Stretching Beyond the Obvious: A Gradient-Free Framework to Unveil the Hidden Landscape of Visual Invariance
Lorenzo Tausani
P. Muratore
Morgan B. Talbot
Giacomo Amerio
Gabriel Kreiman
D. Zoccolan
AAML
274
0
0
20 Jun 2025
Memorization in Language Models through the Lens of Intrinsic Dimension
Memorization in Language Models through the Lens of Intrinsic Dimension
Stefan Arnold
PILM
393
4
0
11 Jun 2025
Time Series Representations for Classification Lie Hidden in Pretrained Vision Transformers
Simon Roschmann
Quentin Bouniot
Vasilii Feofanov
I. Redko
Zeynep Akata
AI4TS
270
3
0
10 Jun 2025
Curvature Enhanced Data Augmentation for Regression
Curvature Enhanced Data Augmentation for Regression
Ilya Kaufman Sirot
Omri Azencot
246
1
0
07 Jun 2025
Redundancy, Isotropy, and Intrinsic Dimensionality of Prompt-based Text Embeddings
Redundancy, Isotropy, and Intrinsic Dimensionality of Prompt-based Text EmbeddingsAnnual Meeting of the Association for Computational Linguistics (ACL), 2025
Hayato Tsukagoshi
Ryohei Sasano
VLM
332
6
0
02 Jun 2025
TRACE for Tracking the Emergence of Semantic Representations in Transformers
TRACE for Tracking the Emergence of Semantic Representations in Transformers
Nura Aljaafari
Danilo S. Carvalho
André Freitas
353
2
0
23 May 2025
Token embeddings violate the manifold hypothesis
Token embeddings violate the manifold hypothesis
Michael Robinson
Sourya Dey
Tony Chiang
616
13
0
01 Apr 2025
The cell as a token: high-dimensional geometry in language models and cell embeddings
The cell as a token: high-dimensional geometry in language models and cell embeddingsBioinformatics (Bioinformatics), 2025
William Gilpin
484
1
0
26 Mar 2025
Supervised Manifold Learning for Functional Data
Supervised Manifold Learning for Functional DataJournal of Computational And Graphical Statistics (JCGS), 2025
Ruoxu Tan
Yiming Zang
373
1
0
23 Mar 2025
Inspecting the Representation Manifold of Differentially-Private Text
Inspecting the Representation Manifold of Differentially-Private Text
Stefan Arnold
273
1
0
19 Mar 2025
A Novel Approach for Intrinsic Dimension Estimation
A Novel Approach for Intrinsic Dimension Estimation
Kadir Özçoban
Murat Manguoğlu
Emrullah Fatih Yetkin
255
1
0
13 Mar 2025
Provable Robust Overfitting Mitigation in Wasserstein Distributionally Robust Optimization
Provable Robust Overfitting Mitigation in Wasserstein Distributionally Robust OptimizationInternational Conference on Learning Representations (ICLR), 2025
Shuang Liu
Yihan Wang
Yifan Zhu
Yibo Miao
Xiao-Shan Gao
522
0
0
06 Mar 2025
Measuring Intrinsic Dimension of Token Embeddings
Measuring Intrinsic Dimension of Token Embeddings
Takuya Kataiwa
Cho Hakaze
Tetsushi Ohki
355
5
0
04 Mar 2025
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with StructureInternational Conference on Learning Representations (ICLR), 2025
Samet Demir
Zafer Dogan
MLT
368
4
0
02 Mar 2025
Triple Phase Transitions: Understanding the Learning Dynamics of Large Language Models from a Neuroscience Perspective
Triple Phase Transitions: Understanding the Learning Dynamics of Large Language Models from a Neuroscience Perspective
Yuko Nakagi
Keigo Tada
Sota Yoshino
Shinji Nishimoto
Yu Takagi
LRM
496
4
0
28 Feb 2025
Shared Stochastic Gaussian Process Latent Variable Models: A Multi-modal Generative Model for Quasar Spectra
Shared Stochastic Gaussian Process Latent Variable Models: A Multi-modal Generative Model for Quasar Spectra
Vidhi Lalchand
Anna-Christina Eilers
353
0
0
27 Feb 2025
Anomaly Detection in Complex Dynamical Systems: A Systematic Framework Using Embedding Theory and Physics-Inspired Consistency
Anomaly Detection in Complex Dynamical Systems: A Systematic Framework Using Embedding Theory and Physics-Inspired Consistency
Michael Somma
Thomas Gallien
Branka Stojanovic
AI4CE
394
2
0
26 Feb 2025
LLM-Microscope: Uncovering the Hidden Role of Punctuation in Context Memory of Transformers
LLM-Microscope: Uncovering the Hidden Role of Punctuation in Context Memory of TransformersNorth American Chapter of the Association for Computational Linguistics (NAACL), 2025
Anton Razzhigaev
Matvey Mikhalchuk
Temurbek Rahmatullaev
Elizaveta Goncharova
Polina Druzhinina
Ivan Oseledets
Andrey Kuznetsov
307
10
0
20 Feb 2025
EQ-VAE: Equivariance Regularized Latent Space for Improved Generative Image Modeling
EQ-VAE: Equivariance Regularized Latent Space for Improved Generative Image Modeling
Theodoros Kouzelis
Ioannis Kakogeorgiou
Spyros Gidaris
N. Komodakis
DRL
880
65
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13 Feb 2025
A Geometric Perspective for High-Dimensional Multiplex Graphs
A Geometric Perspective for High-Dimensional Multiplex GraphsInternational Conference on Information and Knowledge Management (CIKM), 2024
K. Abdous
Nairouz Mrabah
Mohamed Bouguessa
402
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Data-Informed Model Complexity Metric for Optimizing Symbolic Regression Models
Data-Informed Model Complexity Metric for Optimizing Symbolic Regression Models
Nathan Haut
Zenas Huang
Adam Alessio
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The Geometry of Tokens in Internal Representations of Large Language Models
The Geometry of Tokens in Internal Representations of Large Language Models
Karthik Viswanathan
Yuri Gardinazzi
Giada Panerai
Alberto Cazzaniga
Matteo Biagetti
AIFin
620
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17 Jan 2025
Are LLMs effective psychological assessors? Leveraging adaptive RAG for interpretable mental health screening through psychometric practice
Are LLMs effective psychological assessors? Leveraging adaptive RAG for interpretable mental health screening through psychometric practiceAnnual Meeting of the Association for Computational Linguistics (ACL), 2025
Federico Ravenda
Seyed Ali Bahrainian
Andrea Raballo
Antonietta Mira
Noriko Kando
AI4MH
561
6
0
02 Jan 2025
Automatic feature selection and weighting in molecular systems using Differentiable Information Imbalance
Automatic feature selection and weighting in molecular systems using Differentiable Information ImbalanceNature Communications (Nat. Commun.), 2024
Romina Wild
Vittorio Del Tatto
Felix Wodaczek
Bingqing Cheng
Alessandro Laio
497
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0
31 Dec 2024
Understanding Variational Autoencoders with Intrinsic Dimension and
  Information Imbalance
Understanding Variational Autoencoders with Intrinsic Dimension and Information Imbalance
Charles Camboulin
Diego Doimo
Aldo Glielmo
DRL
272
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Fast Spectrum Estimation of Some Kernel Matrices
Fast Spectrum Estimation of Some Kernel Matrices
Mikhail Lepilov
259
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ResiDual Transformer Alignment with Spectral Decomposition
ResiDual Transformer Alignment with Spectral Decomposition
Lorenzo Basile
Valentino Maiorca
Luca Bortolussi
Emanuele Rodolà
Francesco Locatello
705
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31 Oct 2024
Analyzing Deep Transformer Models for Time Series Forecasting via
  Manifold Learning
Analyzing Deep Transformer Models for Time Series Forecasting via Manifold Learning
Ilya Kaufman
Omri Azencot
AI4TS
260
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Geometric Signatures of Compositionality Across a Language Model's Lifetime
Geometric Signatures of Compositionality Across a Language Model's LifetimeAnnual Meeting of the Association for Computational Linguistics (ACL), 2024
Jin Hwa Lee
Thomas Jiralerspong
Lei Yu
Yoshua Bengio
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822
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Robust estimation of the intrinsic dimension of data sets with quantum
  cognition machine learning
Robust estimation of the intrinsic dimension of data sets with quantum cognition machine learningScientific Reports (Sci Rep), 2024
Luca Candelori
Alexander G. Abanov
Jeffrey Berger
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James E. T. Smith
Dario Villani
Martin T. Wells
Mengjia Xu
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Evidence from fMRI Supports a Two-Phase Abstraction Process in Language
  Models
Evidence from fMRI Supports a Two-Phase Abstraction Process in Language Models
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Richard Antonello
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