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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.

168,742 papers · 148 categories

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1122 · Oct 202219922001200920172026
9 results for non-interpolating

The study examines deep convolutional neural networks and their learning ability.

problem Understanding the learning ability of deep convolutional neural networks (DCNNs).
method Examines DCNNs under both underparameterized and overparameterized settings, using a novel network deepening scheme.
result Establishes the first learning rates of underparameterized DCNNs and shows how adding layers can create interpolating DCNNs with good learning rates.

New algorithms improve SGD convergence and reduce variance for over-parameterized models.

problem Slower convergence in non-interpolation settings for SGD variants.
method Proposed AdaSPS and AdaSLS with variance reduction for robust convergence.
result Achieves faster convergence rates and robustness in non-interpolation settings.

New method for selecting data points in deep learning models.

problem Selecting data points for overparameterized deep learning models.
method Proposes a new experimental design strategy for overparameterized regression and interpolation.
result Demonstrates the effectiveness of the new method in single shot deep active learning.

New insights into why neural networks can overfit without interpolating data.

problem Understanding why neural networks can overfit without interpolating data in fixed dimensions.
method Analyzing the smoothness of estimators and their derivatives.
result Benign overfitting is possible with estimators that have large enough derivatives, not just in high dimensions but also in fixed dimensions.

Ensembling improves performance when classifiers disagree more than average.

problem When do ensembles provide significant performance improvements in classification tasks?
method Theoretical and empirical analysis of ensemble improvement rate and disagreement-error ratio.
result Ensembling improves performance significantly when the disagreement rate is large relative to the average error rate.

New theory shows large learning rates prevent overfitting in neural networks.

problem Generalization of two-layer ReLU neural networks in noisy regression problems.
method Gradient descent with constant learning rate converges to stable minima.
result Gradient descent with large learning rates finds smooth, sparse fits.