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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.

169,291 papers · 148 categories

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48 results for K-nearest neighbors

A new method estimates optimal treatment regimes using causal nearest neighbors.

problem Estimating optimal treatment regimes in precision medicine.
method Causal k-nearest neighbor method, with adaptive metric and variable selection.
result The causal k-nearest neighbor regime is universally consistent and converges as sample size increases.

In many scientific disciplines structures in high-dimensional data have to be found, e.g., in stellar spectra, in genome data, or in face recognition tasks. In this work we present a novel approach to non-linear dimensionality reduction. It is based on fitting K-nearest neighbor regression to the unsupervised regressio…

2011-07-19abs ↗pdf ↗

K-Nearest neighbor classifier (k-NNC) is simple to use and has little design time like finding k values in k-nearest neighbor classifier, hence these are suitable to work with dynamically varying data-sets. There exists some fundamental improvements over the basic k-NNC, like weighted k-nearest neighbors classifier (wh…

2013-01-27abs ↗pdf ↗

We propose Bayesian extensions of two nonparametric regression methods which are kernel and mutual kk-nearest neighbor regression methods. Derived based on Gaussian process models for regression, the extensions provide distributions for target value estimates and the framework to select the hyperparameters. It is show…

2016-08-04abs ↗pdf ↗

We introduce the speculate-correct method to derive error bounds for local classifiers. Using it, we show that k nearest neighbor classifiers, in spite of their famously fractured decision boundaries, have exponential error bounds with O(sqrt((k + ln n) / n)) error bound range for n in-sample examples.

2014-10-09abs ↗pdf ↗

DkNN combines k-NN with deep learning for robust, interpretable predictions.

problem Lack of robustness and interpretability in deep learning models.
method Hybrid classifier combining k-NN and deep learning representations.
result Confidence estimates and interpretable explanations for inputs outside the model's training manifold.

Paper proposes a k-NN classifier for detecting spike-and-wave seizures in EEG.

problem Early detection of epileptic seizures in EEG signals.
method Uses t-location-scale distribution and k-nearest neighbors classifier.
result Demonstrates improved classification accuracy, sensitivity, and specificity on real data.

Consider a weighted or unweighted k-nearest neighbor graph that has been built on n data points drawn randomly according to some density p on R^d. We study the convergence of the shortest path distance in such graphs as the sample size tends to infinity. We prove that for unweighted kNN graphs, this distance converges …

2012-06-27abs ↗pdf ↗

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.

Algorithm finds adversarial examples for k-NN classifiers using Voronoi diagrams.

problem Ensuring robustness of k-NN classifiers against adversarial attacks.
method Geometric approach expanding outwards from input points to find minimum-norm adversarial examples.
result Our method outperforms existing approaches on various datasets.

Acoustic sensors identify vehicles using spectral embedding.

problem Vehicle recognition from roadside audio sensors.
method Extract frequency signatures, apply spectral embedding for dimensionality reduction.
result K-nearest neighbors achieve accurate vehicle identification after dimensionality reduction.

Improves performance in various machine learning tasks by reparameterizing subset sampling.

problem Stochastic optimization involving subset sampling is not reparameterizable.
method Continuous relaxation of subset sampling to provide reparameterization gradients.
result Improves performance in instance-wise feature selection, deep stochastic k-nearest neighbors, and parametric t-SNE.

DW-KNN improves KNN by integrating distance and neighbor reliability for better prediction accuracy.

problem Standard KNN assumes all neighbors are equally reliable, leading to unreliable predictions in heterogeneous feature spaces.
method DW-KNN integrates exponential distance with neighbor validity, providing instance-level interpretability and reducing hyperparameter sensitivity.
result DW-KNN achieves 0.8988 average accuracy, ranks 2nd among six methods, and has the lowest cross-validation variance.

A new ensemble method improves kNN performance by extending the neighborhood rule.

problem Traditional kNN's limitations when test points are outside the spherical region and ensemble's high errors.
method Determines neighbors in k steps, using bootstrap samples and optimal models selection.
result The proposed ensemble method outperforms state-of-the-art methods on 17 benchmark datasets.

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.

Study shows SNN graph Laplacians converge to k-NN graph Laplacians under large scale asymptotics.

problem Understanding the convergence of SNN graph Laplacians to k-NN graph Laplacians.
method Analyzing the asymptotic behavior of SNN and k-NN graph Laplacians.
result The graph Laplacians of SNN and k-NN graphs converge to the same limit under large scale asymptotics.

Enhances k-NN accuracy through randomized hyperstructure.

problem Improves k-NN accuracy by optimizing neighbor selection.
method Constructs a random n-dimensional hyperstructure around test instances to refine neighbor selection.
result 85.71% accuracy on Haberman's Cancer Survival dataset, compared to 80.95% for conventional k-NN.

IEFSVM improves SVM for imbalanced data by adjusting k-nearest neighbors entropy.

problem Imbalanced data classification challenges in machine learning.
method Instance-based IEFSVM modifies EFSVM using k-nearest neighbors entropy to prioritize samples.
result IEFSVM outperforms other SVMs and machine learning methods in high imbalance datasets.

The paper compares methods for imputing missing categorical data in supervised classification tasks.

problem Missing data in categorical variables can degrade model performance.
method Experimented on two datasets with missing categorical data, comparing imputation methods with and without additional missing-data perturbation.
result Imputation methods can increase predictive accuracy in the presence of missing-data perturbation.

Interpolated nearest neighbor algorithms minimize bias in machine learning models.

problem Understanding and reducing overfitting in machine learning models.
method Proves the interpolated nearest neighbor algorithm achieves minimax optimal rates in regression and classification.
result Interpolated nearest neighbor algorithms are statistically optimal and perform better than traditional methods in some cases.

New method constructs graphs from data efficiently, suitable for large datasets.

problem Memory and runtime limitations of traditional TMFG for large datasets.
method Uses k-Nearest Neighbors Graphs and memory management for scalable graph construction.
result Provides a parsimonious way to construct graphs for learning tasks.