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ARXIV:2603.24384 · DATA MINING · SUBMITTED 02 APR · 02:30 UTC · FRESHNESS STALE
ARXIV:2603.24384DATA MININGSUBMITTED 02 APR · 02:30 UTCFRESHNESS STALEKristóf Péter · Ricardo J. G. B. Campello · James Bailey · Michael E. Houle · arXiv
A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error.
Opportunity summary
Pain A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error.
Evidence 0 refs | 0 sources | 17% coverage
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A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error. Accurate LID estimation requires samples drawn from small neighborhoods around each query to avoid biases from…
The theory of Local Intrinsic Dimensionality (LID) has become a valuable tool for characterizing local complexity within and across data manifolds, supporting a range of data mining and machine learning tasks. Accurate LID estimation…
ScienceToStartup currently rates this 3.0/10 on the public viability pass. As a result, in the specific context of LID estimation, the sampling rate has an additional, complex interplay with the neighborhood size, where both…
Data Mining moved forward this cycle; last verified April 2026. Public score 3.0/10.
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A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error.
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10.48550/arXiv.2603.24384A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error.
Abstract
The theory of Local Intrinsic Dimensionality (LID) has become a valuable tool for characterizing local complexity within and across data manifolds, supporting a range of data mining and machine learning tasks. Accurate LID estimation requires samples drawn from small neighborhoods around each query to avoid biases from nonlocal effects and potential manifold mixing, yet limited data within such neighborhoods tends to cause high estimation variance. As a variance reduction strategy, we propose an ensemble approach that uses subbagging to preserve the local distribution of nearest neighbor (NN) distances. The main challenge is that the uniform reduction in total sample size within each subsample increases the proximity threshold for finding a fixed number k of NNs around the query. As a result, in the specific context of LID estimation, the sampling rate has an additional, complex interplay with the neighborhood size, where both combined determine the sample size as well as the locality and resolution considered for estimation. We analyze both theoretically and experimentally how the choice of the sampling rate and the k-NN size used for LID estimation, alongside the ensemble size, affects performance, enabling informed prior selection of these hyper-parameters depending on application-based preferences. Our results indicate that within broad and well-characterized regions of the hyper-parameters space, using a bagged estimator will most often significantly reduce variance as well as the mean squared error when compared to the corresponding non-bagged baseline, with controllable impact on bias. We additionally propose and evaluate different ways of combining bagging with neighborhood smoothing for substantial further improvements on LID estimation performance.
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PROBLEM
A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error. Accurate LID estimation requires samples drawn from small neighborhoods around each query to avoid biases from nonlocal effects and potential...
METHOD
The theory of Local Intrinsic Dimensionality (LID) has become a valuable tool for characterizing local complexity within and across data manifolds, supporting a range of data mining and machine learning tasks. Accurate LID estimation requires samples drawn from small neighborhoo...
RESULT
ScienceToStartup currently rates this 3.0/10 on the public viability pass. As a result, in the specific context of LID estimation, the sampling rate has an additional, complex interplay with the neighborhood size, where both combined determine the sample size as well as the loca...
WHY NOW
Data Mining moved forward this cycle; last verified April 2026. Public score 3.0/10.
Abstract-backed public claims while anchored extraction refreshes.
A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error. Accurate LID estimation requires samples drawn from small neighborhoods around each query to avoid biases from nonlocal effects and potential manifold mixing, yet limited data within such neighborhoods tends to cause high estimation variance.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
The theory of Local Intrinsic Dimensionality (LID) has become a valuable tool for characterizing local complexity within and across data manifolds, supporting a range of data mining and machine learning tasks. Accurate LID estimation requires samples drawn from small neighborhoods around each query to avoid biases from nonlocal effects and potential manifold mixing, yet limited data within such neighborhoods tends to cause high estimation variance.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
ScienceToStartup currently rates this 3.0/10 on the public viability pass. As a result, in the specific context of LID estimation, the sampling rate has an additional, complex interplay with the neighborhood size, where both combined determine the sample size as well as the locality and resolution considered for estimation.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
Data Mining moved forward this cycle; last verified April 2026. Public score 3.0/10.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
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A theoretical framework for improving local intrinsic dimensionality estimation using bagging to reduce variance and mean squared error.
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