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48 results for subsample selection

A new method selects a representative subsample for efficient kernel density estimation.

problem Selecting a representative subsample without model assumptions.
method Optimal transport techniques for model-free subsampling with an efficient algorithm.
result The selected subsample can be used for efficient density estimation with derived convergence rates and optimal bandwidth.

The paper explores effective data selection methods for weakly supervised learning.

problem Efficiently selecting a subset of unlabeled data for weakly supervised learning.
method Using a surrogate model to predict labels and selecting a subset of samples for training.
result Data selection can significantly improve model performance over training on the full dataset.

SWA selects important features from large data sets, controlling false discovery rate.

problem Feature selection in large regression data, especially scaling to big data and matching target FDR.
method Subsampling Winner algorithm using subsampling and scoring features.
result SWA controls actual FDR better than benchmark procedures and randomForest.

A deep learning subsampling technique improves modulation classification accuracy.

problem Improving modulation classification accuracy in wireless communication systems.
method Proposes a data-driven subsampling strategy using deep neural networks to simulate signal removal.
result Improves classification accuracy to higher levels than traditional methods.

New insights into how randomization affects greedy model selection.

problem Understanding the impact of feature subsampling on greedy model selection.
method Investigated greedy forward selection with feature subsampling, proving effects on bias and variance.
result Ensembling with feature subsampling reduces both bias and variance, unlike convex base learners.

The study provides theoretical foundations for using smaller instances to predict algorithm performance on larger ones.

problem Scalability challenge in evaluating algorithms on large instances.
method Formalized size generalization, providing theoretical guarantees for predicting algorithm performance on large instances using smaller, representative instances.
result Characterized the subsample size sufficient to ensure performance on the subsample reflects performance on the full instance.

A new model-free subsampling method using uniform designs is proposed.

problem Model-based subsampling methods are often dependent on model assumptions.
method Developed a criterion (GEFD) and a model-free subsampling method based on uniform designs.
result The proposed method outperforms random sampling and is robust under diverse model specifications.

A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample from the original full sample and uses it as a surrogate for subsequent computati…

2015-09-17abs ↗pdf ↗

Early stopping is a well known approach to reduce the time complexity for performing training and model selection of large scale learning machines. On the other hand, memory/space (rather than time) complexity is the main constraint in many applications, and randomized subsampling techniques have been proposed to tackl…

2015-10-19abs ↗pdf ↗

Speeding up Markov Chain Monte Carlo (MCMC) for datasets with many observations by data subsampling has recently received considerable attention. A pseudo-marginal MCMC method is proposed that estimates the likelihood by data subsampling using a block-Poisson estimator. The estimator is a product of Poisson estimators,…

2016-03-27abs ↗pdf ↗

A new Markov subsampling strategy based on Huber criterion improves data processing from noisy full data.

problem High noise level in data leads to poor performance of subsampling procedures.
method Design a Markov subsampling strategy based on Huber criterion to construct an informative subset from noisy full data.
result The estimator based on HMS is statistically consistent with a sub-Gaussian deviation bound.

Solar algorithm selects variables faster and more accurately in high-dimensional data.

problem Variable selection in high-dimensional data with high accuracy and stability.
method Subsample-ordered least-angle regression (solar) and its coordinate descent generalization (solar-cd) using L0L_0 norm solution path averaging.
result Solar selects variables with high accuracy and stability, reducing redundant variable selection.

We propose a sampling scheme suitable for reducing a data set prior to selecting a hypothesis with minimum empirical risk. The sampling only considers a subset of the ultimate (unknown) hypothesis set, but can nonetheless guarantee that the final excess risk will compare favorably with utilizing the entire original dat…

2013-06-07abs ↗pdf ↗

Subbagging estimation for big data reduces memory usage while maintaining statistical consistency.

problem Memory constraints in analyzing massive datasets.
method Randomly subsample the data, aggregate estimators from subsamples, and use incomplete U-statistics theory.
result Subbagging estimator achieves N\sqrt{N}-consistency and asymptotic normality under certain conditions.

A scalable algorithm for GP regression selects relevant covariates efficiently.

problem Scalable variable selection in large GP regression models.
method VGPR algorithm using Vecchia approximation for sparse precision matrix, mini-batch subsampling.
result Improved scalability and accuracy in selecting relevant covariates.

We develop an iterative subsampling approach to improve the computational efficiency of our previous work on solution path clustering (SPC). The SPC method achieves clustering by concave regularization on the pairwise distances between cluster centers. This clustering method has the important capability to recognize no…

2014-12-04abs ↗pdf ↗

A two-stage GPR framework with automatic kernel search and subsampling improves prediction accuracy and efficiency.

problem Inaccurate predictions due to misspecified mean and kernel functions in Gaussian Process Regression.
method Two-stage GPR, automatic kernel search, subsampling for hyperparameter initialization.
result Competitive or better performance compared to full dataset training, robust on real-world datasets.

Modern computer vision algorithms often rely on very large training datasets. However, it is conceivable that a carefully selected subsample of the dataset is sufficient for training. In this paper, we propose a gradient-based importance measure that we use to empirically analyze relative importance of training images …

2018-11-30abs ↗pdf ↗

The paper analyzes bagging in overparameterized learning, deriving risk properties and optimal subsample sizes.

problem Characterizing the risk of bagged predictors in overparameterized settings.
method General strategy using classical results on simple random sampling, specialized for ridge and ridgeless predictors.
result Derives exact asymptotic risk of bagged ridge and ridgeless predictors under various conditions.

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the ever-popular random forest, yet the nature of the subsampling effect, particularly of th…

2019-10-10abs ↗pdf ↗

Kernelized Support Vector Machines (SVMs) are among the best performing supervised learning methods. But for optimal predictive performance, time-consuming parameter tuning is crucial, which impedes application. To tackle this problem, the classic model selection procedure based on grid-search and cross-validation was …

2016-02-10abs ↗pdf ↗

State-of-the-art methods for Convolutional Sparse Coding usually employ Fourier-domain solvers in order to speed up the convolution operators. However, this approach is not without shortcomings. For example, Fourier-domain representations implicitly assume circular boundary conditions and make it hard to fully exploit …

2019-08-31abs ↗pdf ↗

In this paper we demonstrate that tempering Markov chain Monte Carlo samplers for Bayesian models by recursively subsampling observations without replacement can improve the performance of baseline samplers in terms of effective sample size per computation. We present two tempering by subsampling algorithms, subsampled…

2014-01-28abs ↗pdf ↗

This paper optimizes subsampling for large datasets using Poisson distribution.

problem Efficiently subsample large datasets for quasi-likelihood estimation.
method Derives optimal Poisson subsampling probabilities and develops a distributed subsampling framework.
result Consistent and asymptotically normal estimators are obtained.

The bootstrap provides a simple and powerful means of assessing the quality of estimators. However, in settings involving large datasets---which are increasingly prevalent---the computation of bootstrap-based quantities can be prohibitively demanding computationally. While variants such as subsampling and the mm out o…

2011-12-21abs ↗pdf ↗

Understanding black-box machine learning models is crucial for their widespread adoption. Learning globally interpretable models is one approach, but achieving high performance with them is challenging. An alternative approach is to explain individual predictions using locally interpretable models. For locally interpre…

2019-09-26abs ↗pdf ↗

Data augmentation is commonly used to encode invariances in learning methods. However, this process is often performed in an inefficient manner, as artificial examples are created by applying a number of transformations to all points in the training set. The resulting explosion of the dataset size can be an issue in te…

2018-10-11abs ↗pdf ↗

A new method reduces variance in SGMCMC by preferentially subsampling data.

problem High variance in stochastic gradient estimates impacts sampler performance.
method Use a non-uniform probability distribution to preferentially subsample data points and adaptively adjust subsample size.
result Maintains accuracy while substantially reducing average subsample size.

For massive data, the family of subsampling algorithms is popular to downsize the data volume and reduce computational burden. Existing studies focus on approximating the ordinary least squares estimate in linear regression, where statistical leverage scores are often used to define subsampling probabilities. In this p…

2017-02-03abs ↗pdf ↗

Unified framework for subsampling mechanisms with tighter privacy guarantees.

problem Improving privacy in machine learning models through subsampling.
method Conditional optimal transport for deriving mechanism-specific subsampling guarantees.
result Tighter privacy bounds for subsampled mechanisms compared to traditional methods.