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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.

169,042 papers · 148 categories

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48 results for feature strength functions

Neural networks outperform kernels by learning features better.

problem Current theories of feature learning do not adequately assess feature quality.
method Introduced feature quality metric and examined existing theories empirically.
result Current theories of feature learning do not provide a sufficient foundation for neural network generalization.

Study analyzes seasonal hydroclimatic features across climates and continents.

problem Lack of seasonal hydroclimatic feature analysis for Koppen-Geiger climates and continents.
method Global-scale analysis of 13,000 time series using 7 features.
result Notable differences in feature magnitudes across Koppen-Geiger climate classes and continental regions.

Deep neural networks and Gaussian processes are shown to be equivalent through activation functions.

problem Understanding the relationship between neural networks and Gaussian processes.
method Developing an equivalence theory based on activation functions and kernels.
result Models can be seen as neural networks with improved uncertainty prediction or deep Gaussian processes with increased accuracy.

Feature Squeezing is a recently proposed defense method which reduces the search space available to an adversary by coalescing samples that correspond to many different feature vectors in the original space into a single sample. It has been shown that feature squeezing defenses can be combined in a joint detection fram…

2018-03-27abs ↗pdf ↗

New framework uses time series features for predicting streamflow in ungauged areas.

problem Predicting streamflow in areas without gauging stations.
method Developed regression-based streamflow regionalization using a wide range of time series features from large datasets.
result Certain time series features, like entropy and autocorrelation, are better predictors of streamflow than traditional catchment attributes.

Paper presents a method to extract and interpret knowledge from a spiking neural classifier.

problem Extracting and interpreting knowledge from a spiking neural classifier with time-varying synaptic weights.
method The method involves encoding real-valued input data into spike patterns, training the classifier, and mapping the weighted postsynaptic potential to feature strength functions (FSFs).
result The FSFs represent the extracted knowledge from the classifier and can be used for classification and interpretation.

A new weighted dissimilarity measure reduces positioning errors in feature-based systems.

problem Reducing errors in feature-based positioning systems, especially in areas with high variability.
method Iterative scheme using location-dependent standard deviations as weights.
result Maximum radial positioning error reduced by 40% using the weighted dissimilarity measure.

Optimal feature learning strength improves generalization in deep networks.

problem Understanding how feature learning strength affects generalization in practical settings.
method Empirical studies and theoretical analysis of gradient flow dynamics in two-layer ReLU nets.
result Optimal feature learning strength yields substantial generalization gains, contrary to the prevailing intuition.

CutMix enhances feature learning in neural networks, improving test accuracy.

problem Understanding and improving feature learning in neural networks using patch-level augmentation.
method Three distinct methods: vanilla training, Cutout training, and CutMix training were studied.
result CutMix training yields the highest test accuracy and learns all features and noise vectors evenly.

SLOE speeds up logistic regression in high dimensions with accurate signal strength estimation.

problem Poor performance of logistic regression in high-dimensional settings.
method SLOE reparameterizes the signal strength for faster and more accurate estimation.
result SLOE provides a fast and accurate method for dimensionality correction in logistic regression.

Most of metric learning approaches are dedicated to be applied on data described by feature vectors, with some notable exceptions such as times series, trees or graphs. The objective of this paper is to propose a metric learning algorithm that specifically considers relational data. The proposed approach can take benef…

2018-07-02abs ↗pdf ↗

A new method detects interactions in machine learning models.

problem Interpreting non-linear and interaction effects in machine learning models.
method Regional effect plots with implicit interaction detection.
result The method quantifies and interprets feature effects reliably, less confounded by interactions.

Convolutional Neural Networks(CNNs) are both computation and memory intensive which hindered their deployment in mobile devices. Inspired by the relevant concept in neural science literature, we propose Synaptic Pruning: a data-driven method to prune connections between input and output feature maps with a newly propos…

2018-11-06abs ↗pdf ↗

Introduces a new feature importance measure using Gram-Schmidt decorrelation.

problem Determining feature influence strength and nature in datasets.
method Gram-Schmidt decorrelation and random forest regression.
result Empirical comparison of new estimators with established methods.

A new method selects features efficiently for high-dimensional data.

problem High computational costs and memory requirements in high-dimensional data.
method QuickSelection uses the strength of neurons in sparse autoencoders to select features.
result QuickSelection achieves the best trade-off of accuracy, speed, and memory usage.

This work provides bounds on the performance of prediction models in the predict-then-optimize framework.

problem Generalizing the performance of prediction models in the predict-then-optimize framework with the SPO loss function.
method Deriving generalization bounds using the Natarajan dimension and exploiting the strength property of the feasible region.
result Improved generalization bounds for the SPO loss function, scaling logarithmically in the number of extreme points and linearly in the decision dimension.

Double descent risk in L2-regularized models explained and mitigated.

problem Risk of overparameterized models in machine learning.
method Analysis of L2-regularized models, two-layer neural networks, and CNNs.
result Double descent risk in L2-regularized models can be explained and mitigated by adjusting regularization strengths.

The paper investigates causal relationships in heart failure prediction using machine learning.

problem Understanding the causal relationships between clinical variables and heart failure.
method Proposes a new computational framework for causal structure discovery (CSD) of mixed-type clinical variables for binary disease outcomes.
result Feature importance from nonlinear classifiers strongly correlates with causal strength of variables, but not differentiating cause and effect.

Mapper and Ball Mapper tools for complex data analysis.

problem Exploring and visualizing high-dimensional data and scalar functions.
method Combining Mapper and Ball Mapper, adding new features for encoding structure and symmetries.
result A new hybrid algorithm, Mapper on Ball Mapper, for comparing high-dimensional data descriptors.

New method for interpreting complex ML models.

problem Interpreting complex black-box ML models.
method Functional decomposition of black-box predictions into simpler subfunctions.
result Main effects provide insights into feature contributions and interactions.

Study on fluctuations in neural network kernels and predictions, focusing on finite width effects.

problem Characterizing fluctuations in finite width neural networks.
method Dynamical mean field theory analysis of wide but finite feature learning neural networks.
result Fluctuations in kernels and predictions are dynamically coupled, leading to reduced variance in feature learning regimes.

Sparse feature selection improves batch RL efficiency.

problem High-dimensional batch RL with many features.
method Sparse linear function approximation, Lasso, group Lasso, fitted Q-evaluation, fitted Q-iteration.
result Sparse feature selection makes batch RL more sample efficient.

We provide a unified analysis of the predictive risk of ridge regression and regularized discriminant analysis in a dense random effects model. We work in a high-dimensional asymptotic regime where p,np, n \to \infty and p/nγ(0,)p/n \to γ\in (0, \, \infty), and allow for arbitrary covariance among the features. For both metho…

2015-07-10abs ↗pdf ↗

SGD quickly learns a spurious XOR feature before the signal feature, revealing learning dynamics.

problem Over-reliance on spurious correlations in neural networks trained by SGD.
method Theoretical analysis of SGD on two-layer ReLU networks trained on XOR data.
result SGD learns the spurious feature first and exponentially fast, dominating the signal feature.

We study graph matching with correlated Gaussian features and find thresholds for exact recovery.

problem Graph matching with correlated Gaussian features.
method Information-theoretic thresholds and conditions for exact and almost exact recovery.
result Contextual information introduces a richer structure, with thresholds for exact and almost exact recovery no longer coinciding.

We seek decision rules for prediction-time cost reduction, where complete data is available for training, but during prediction-time, each feature can only be acquired for an additional cost. We propose a novel random forest algorithm to minimize prediction error for a user-specified {\it average} feature acquisition b…

2015-02-20abs ↗pdf ↗

DIGEN benchmark provides synthetic datasets for ML algorithm evaluation.

problem Understanding and comparing machine learning algorithms' performance.
method Synthetic datasets generated using 40 mathematical functions to evaluate machine learning algorithms.
result DIGEN resource facilitates understanding why algorithms perform poorly and provides ideas for improvement.

The paper introduces a new method for modeling correlations in high-dimensional data.

problem Modeling correlations among multiple dimensions in high-dimensional data.
method Population random measure embedding (PRME) using random functions and neural networks.
result The proposed method can efficiently learn correlations among multiple dimensions.

Identifies learning rules from neural network observables.

problem Determine the underlying plasticity rules governing learning in biological systems.
method Simulated idealized neuroscience experiments with artificial neural networks to generate a dataset of learning trajectories. Used linear and non-linear classifiers to identify learning rules from aggregate statistics of weights, activations, and activity changes.
result Different classes of learning rules can be separated solely on the basis of aggregate statistics of the weights, activations, or instantaneous layer-wise activity changes.

Models with many signals, high-dimensional models, often impose structures on the signal strengths. The common assumption is that only a few signals are strong and most of the signals are zero or close (collectively) to zero. However, such a requirement might not be valid in many real-life applications. In this article…

2017-08-01abs ↗pdf ↗