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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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143287430573 · Jun 202019922001200920182026
48 results for nearest class mean

The k-means++ algorithm is generalized by choosing the most distant point from the nearest center.

problem Improving the initialization of k-means clustering.
method Generalizing the center initialization process by selecting the most distant point from the nearest center.
result Choosing the most distant point from the nearest center achieves similar clustering quality to k-means++.

Paper compares two possibilistic segmentation methods for SAS imagery.

problem Segmenting synthetic aperture sonar images into different seafloor environments.
method Comparison of Possibilistic Fuzzy Local Information C-Means (PFLICM) and Possibilistic K-Nearest Neighbors (PKNN) algorithms.
result PKNN outperforms PFLICM in segmentation performance on SAS images.

New method speeds up k-means clustering for large k by improving nearest-neighbor search.

problem Efficiently clustering large datasets with high-dimensional points.
method Seeded Approximate Nearest-Neighbor Search methods to improve Lloyd's algorithm.
result Significantly faster k-means clustering for large k values.

The Soft Nearest Neighbor Loss improves representation quality and generalization.

problem Improving the quality of representations in machine learning models.
method Explored and expanded the Soft Nearest Neighbor Loss to measure class entanglement.
result Maximizing the entanglement of different class representations leads to better generalization and uncertainty estimation.

Nearest neighbor methods are a popular class of nonparametric estimators with several desirable properties, such as adaptivity to different distance scales in different regions of space. Prior work on convergence rates for nearest neighbor classification has not fully reflected these subtle properties. We analyze the b…

2014-06-30abs ↗pdf ↗

Estimates missing distributions using nearest neighbors with kernel methods.

problem Missing data and unobserved confounding in multivariate distributions.
method Distributional matrix completion framework with kernel nearest neighbors.
result Consistent recovery of underlying distributions with missing data.

PNN-smoothing improves kk-means clustering by merging subsets' clusterings.

problem Improving kk-means clustering initialization efficiency and effectiveness.
method Split dataset into subsets, cluster each subset, merge with PNN method.
result PNN-smoothing enhances kk-means++ seeding, reducing costs.

Deep learning method for brain CT scan anomaly labeling using nearest neighbors.

problem Automated anatomical labeling of brain CT scan anomalies.
method Combines local and global context, uses Relation Networks (RNs) for prediction, and employs nearest neighbors for training.
result Improved performance of Relation Networks (RNs) through nearest neighbors training strategy.

Improved clustering accuracy with disentangled latent code representation.

problem Improving k-Means clustering performance.
method Optimizing the entanglement of autoencoder latent code representation using soft nearest neighbor loss with annealing temperature.
result 96.2% test clustering accuracy on MNIST, 85.6% on Fashion-MNIST, and 79.2% on EMNIST Balanced datasets.

Characterizes Lebesgue points using nearest neighbor methods.

problem Consistency of classification algorithms based on nearest neighbors.
method Characterization of Lebesgue points via 1-Nearest Neighbor regression.
result Proves convergence of 1-Nearest Neighbor classification algorithms in metric spaces.

Adaptive NN method improves matrix completion for non-smooth data.

problem Matrix completion with non-smooth non-linear functions under high missingness.
method Two-sided nearest neighbors with \Holder function class non-linearity.
result NN error rate matches oracle's for latent factors, non-trivial for wide range of missingness.

New clustering algorithms for random process data without model knowledge.

problem Clustering random process data without model statistics and number of models.
method Two algorithms using L1L^1-distance between PSDs, NNPC via spectral clustering and KM.
result Both algorithms succeed with high probability in noisy and missing data scenarios.

Deep nets exhibit 'Neural Collapse' during training's final phase, simplifying decision-making.

problem Understanding and optimizing deep learning training phases.
method Direct measurements on three deepnet architectures across seven datasets.
result Deep nets exhibit 'Neural Collapse' during training's final phase, simplifying decision-making.

The Nearest subspace classifier (NSS) finds an estimation of the underlying subspace within each class and assigns data points to the class that corresponds to its nearest subspace. This paper mainly studies how well NSS can be generalized to new samples. It is proved that NSS is strongly consistent under certain assum…

2015-01-24abs ↗pdf ↗

Sparse nearest-centroid classifiers detect relevant features for classification.

problem Classifying data with low computational cost and feature selection.
method Proposes 1\ell_1 and 2\ell_2 sparse variants of nearest-centroid classifiers.
result Training sparse classifiers can be done exactly and at quasi-linear cost.

Proposes KNORA-B and KNORA-BI for DES, improving classification performance.

problem Selecting locally competent classifiers for new test samples.
method KNORA-B and KNORA-BI use nearest neighbors to reduce region of competence, maintaining at least one sample from each class.
result KNORA-BI outperforms state-of-the-art techniques on imbalance datasets.

Proposes learning a metric for class-conditional KNN to improve performance.

problem Failure of traditional NN techniques when data representation does not capture perceptual similarity.
method Class Conditional Metric Learning (CCML) that optimizes a soft form of NBNN selection rule.
result CCML outperforms existing learned distance metrics across various datasets.

Optimizes one-class classification methods for better performance.

problem Improving one-class classification accuracy through hyperparameter optimization.
method Hyperparameter optimization for five one-class classification methods (SVM, NND, LNND, LOF, ALP) using various datasets.
result ALP and SVM perform best after hyperparameter optimization, with ALP being more efficient.

A review of nearest neighbour classifiers, focusing on similarity measures and computational efficiency.

problem Improving the performance of nearest neighbour classifiers.
method Explains mechanisms for assessing similarity (distance), identifying nearest neighbours, and reducing data dimensionality.
result Added new sections on time-series similarity measures, retrieval speed-up, and intrinsic dimensionality.

This paper provides fast estimates for complex option types.

problem Estimating prices for constrained multiple exercise American options.
method Lookahead search for lower estimates and nearest-neighbor martingale for upper estimates.
result Probabilistic convergence guarantees for the algorithms.

Efficiently selects nearest neighbors for labeling to speed up active learning.

problem Intractable active learning and search for large-scale unlabeled data.
method Restricts candidate pool to nearest neighbors of labeled set.
result Achieved similar performance to global approach but reduced computational cost by up to 3 orders of magnitude.

A new method improves the DNN estimator for mean regression, achieving optimal convergence rates.

problem Lack of distributional results and suboptimal convergence rates for DNN estimator.
method Two-scale distributional nearest neighbors (TDNN) estimator, combining two DNN estimators with different subsampling scales.
result The two-scale DNN estimator achieves the optimal nonparametric convergence rate under fourth-order smoothness.

FastMuyGPs speeds up GP predictions for large datasets.

problem High cost of Gaussian process predictions for large data.
method Combines cross-validation, batching, nearest neighbors sparsification, and precomputation.
result Superior accuracy and competitive runtime compared to other methods.

Neural networks classify OOD images by their nearest neighbor in training data.

problem Understanding out-of-distribution prediction behavior of neural networks.
method Nearest category generalization (NCG) measure to assess OOD prediction accuracy.
result Adversarially robust networks have higher NCG accuracy than natural training, indicating local regularization impacts decision regions.

A new adaptive kNN classifier outperforms Random Forests.

problem Improving classification accuracy using nearest neighbors.
method Finding discriminant subspaces for efficient nearest neighbor classification, leveraging bagging for diversity.
result The proposed method outperforms Random Forests and other nearest neighbors ensembles.

This paper introduces a class of k-nearest neighbor (kk-NN) estimators called bipartite plug-in (BPI) estimators for estimating integrals of non-linear functions of a probability density, such as Shannon entropy and Rényi entropy. The density is assumed to be smooth, have bounded support, and be uniformly bounded from…

2010-12-19abs ↗pdf ↗

Proposes multi-neighborhood LBPs for land use classification.

problem Challenges in classifying land use images due to intra class variability and inter class similarities.
method Uses multi-neighborhood LBPs combined with nearest neighbor classifier.
result Achieved an accuracy of 77.76% on UC Merced 21 class land use image dataset.

The paper studies empirical processes from nearest neighbors in regression.

problem Estimating conditional cumulative distribution functions and local linear regression.
method Uniform central limit theorem and non-asymptotic bound under local bracketing entropy and uniform entropy numbers.
result Gaussian limit of empirical process with simple covariance.

Under-bagging kk-NN improves performance on imbalanced classification.

problem Imbalanced classification problems where one class is significantly underrepresented.
method Proposes an under-bagging kk-NN ensemble learning algorithm, analyzing convergence rates and efficiency.
result Achieves optimal convergence rates under mild assumptions and reduces sub-sample size and kk for highly imbalanced data.

We consider the problem of clustering noisy finite-length observations of stationary ergodic random processes according to their nonparametric generative models without prior knowledge of the model statistics and the number of generative models. Two algorithms, both using the L1-distance between estimated power spectra…

2015-04-20abs ↗pdf ↗

A new classifier encodes local neighborhoods for each class using Fly Bloom Filters.

problem Efficiently classify data with single-pass learning.
method Proposes a new classifier that encodes local neighborhoods for each class with per-class Fly Bloom Filters.
result The proposed classifier's performance is competitive with nearest-neighbor classifiers and other single-pass classifiers.

Unified framework evaluates different nearest neighbor classification methods.

problem Evaluating and comparing classical, fuzzy, and fuzzy rough nearest neighbor classification methods.
method Standardized nearest neighbor weighting with kernel functions applied to distance and/or rank values of nearest neighbors.
result NN, FNN, and FRNN perform best with Boscovich distance, and NN and FRNN perform best with specific combinations of weights and scaling measures.

BigNN classifier improves nearest neighbor classification for large datasets.

problem Classification of large datasets that cannot fit into a single machine's memory.
method Divide and conquer scheme with majority voting for final decision; pre-training acceleration technique.
result Rates of convergence for bigNN classifier under minimal assumptions, proving it as optimal.

A fast algorithm for KK-means clustering using subsampled SDP.

problem Efficiently solving large-scale KK-means clustering problems.
method Sketch-and-Lift (SL) approach for approximating SDP relaxed KK-means.
result SL method achieves similar exact recovery threshold as full SDP on full dataset.