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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.

168,695 papers · 148 categories

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48 results for statistical features

Paper proposes a statistical test for feature selection pipelines using selective inference.

problem Assessing the significance of feature selection pipelines in data analysis.
method Selective inference technique applied to feature selection pipelines composed of various algorithms.
result The proposed statistical test controls false positive feature selection probabilities.

The paper introduces a statistical distance matrix for better feature representation and clustering.

problem Lack of detailed distance representation between feature elements.
method Extended traditional statistical distance to a matrix form (statistical distance matrix) and applied hierarchical clustering.
result The statistical distance matrix with clustering (Information Mandala) provides clearer and geometrically arranged feature representations.

Laplace kernel feature selection offers statistical guarantees for nonparametric models with few samples.

problem Statistical guarantees for kernel-based feature selection in nonconvex optimization problems.
method Sharp characterization of the gradient of the objective function for Laplace kernel feature selection.
result Model-selection consistency for Laplace kernel-based feature selection in nonparametric settings with nlogpn \sim \log p samples.

The goal of feature selection is to identify important features that are relevant to explain an outcome variable. Most of the work in this domain has focused on identifying globally relevant features, which are features that are related to the outcome using evidence across the entire dataset. We study a more fine-grain…

2019-05-29abs ↗pdf ↗

A new framework learns system design using neural features in function space.

problem Learning system design with neural feature extractors.
method Introduces feature geometry in function space, nesting technique for optimal feature approximation.
result Optimal features found from data samples using off-the-shelf architectures and optimizers.

Paper introduces PTL-SI for statistical inference in TL-HDR, controlling FPR.

problem Quantifying statistical significance in TL-HDR with limited data.
method PTL-SI framework for valid pp-values in TL-HDR feature selection.
result Valid pp-values and controlled FPR in TL-HDR feature selection.

We develop a theory of higher-order feature attribution for complex models.

problem Interpreting feature contributions in models with interactions is challenging.
method We extend Integrated Gradients (IG) to higher-order feature attributions.
result We establish natural connections to statistics and topological signal processing.

Finding statistically significant high-order interaction features in predictive modeling is important but challenging task. The difficulty lies in the fact that, for a recent applications with high-dimensional covariates, the number of possible high-order interaction features would be extremely large. Identifying stati…

2015-06-26abs ↗pdf ↗

Two statistical tasks are shown to have equivalent sample complexity.

problem Determining if a function depends on only a few variables and identifying those variables.
method Proved statistical equivalence of feature selection and junta testing through sample complexity analysis.
result Brute-force algorithm is sample-optimal for both tasks with optimal sample size.

Spofe bridges statistical rigor and interpretability in feature extraction from tabular data.

problem Ensuring statistical rigor and interpretability in feature extraction from complex tabular data.
method Spofe combines kernel principal components and sparse polynomial functions with a multi-objective knockoff selection procedure.
result Spofe consistently outperforms other methods in feature selection for regression and classification tasks.

This work analyzes tree-based methods from a ranking perspective, providing insights and new statistics.

problem Understanding the effectiveness of tree-based methods in finite-sample settings, especially symbolic feature selection.
method Local ranking perspective, finite-sample analysis, oracle bounds, posterior contraction results, concordant divergence statistics.
result New insights and statistics for evaluating symbolic feature mappings.

Unsupervised domain adaptation methods aim to alleviate performance degradation caused by domain-shift by learning domain-invariant representations. Existing deep domain adaptation methods focus on holistic feature alignment by matching source and target holistic feature distributions, without considering local feature…

2018-11-12abs ↗pdf ↗

A novel feature selection method using noise-based hypothesis testing improves feature selection accuracy.

problem Challenges in feature selection for complex, high-dimensional datasets.
method Introduces multiple random noise features and evaluates feature importance against noise feature maxima using non-parametric bootstrap-based hypothesis testing.
result Outperforms existing methods in simulated and real-world datasets.

Paper extracts features from time series to improve forecasting accuracy.

problem Forecasting time series generated by Itô-type processes with unknown coefficients.
method Statistical adjustment of mixture-type models to extract features from time series data.
result Additional statistical features enhance time series prediction accuracy.

Paper tackles class-incremental time series classification with dual-stream feature extraction.

problem Class-incremental continual learning for multivariate time series data.
method Dual-stream feature extraction pipeline combining deep temporal embedding features and statistical features.
result Competitive average accuracy across multiple datasets with low forgetting rates.

Proposes φφ-table for statistical SHAP explanations in regression models.

problem Lack of clear directional summaries, uncertainty, and fidelity in SHAP feature importance.
method SHAP importance selection, fitting a standardized linear surrogate, reporting coefficients, uncertainty, fidelity, and stability.
result Extends SHAP into a statistical global explanation with direction, uncertainty, fidelity, and stability.

Identifying statistical dependence between the features and the label is a fundamental problem in supervised learning. This paper presents a framework for estimating dependence between numerical features and a categorical label using generalized Gini distance, an energy distance in reproducing kernel Hilbert spaces (RK…

2019-06-05abs ↗pdf ↗

Adaptive feature normalization improves model robustness to extraneous variables.

problem Degrading model performance due to extraneous variables in deep learning.
method Adaptive feature normalization using instance normalization instead of batch normalization.
result Adaptive normalization leads to significant performance gains across different datasets and architectures.

Feature selection with high-dimensional data and a very small proportion of relevant features poses a severe challenge to standard statistical methods. We have developed a new approach (HARVEST) that is straightforward to apply, albeit somewhat computer-intensive. This algorithm can be used to pre-screen a large number…

2017-09-30abs ↗pdf ↗

Detects which features have shifted in data distributions.

problem Identifying which specific features have caused a distribution shift.
method Formalizes the problem as multiple conditional distribution hypothesis tests, proposes non-parametric and parametric statistical tests, and uses a test statistic based on the density model score function.
result Demonstrates methods for identifying when and where a shift occurs in multivariate time-series data.

We study the relationship between social media output and National Football League (NFL) games, using a dataset containing messages from Twitter and NFL game statistics. Specifically, we consider tweets pertaining to specific teams and games in the NFL season and use them alongside statistical game data to build predic…

2013-10-25abs ↗pdf ↗

DiffKnock improves feature selection in neural networks with complex dependencies and non-linear associations.

problem Selecting important features in neural networks with complex dependencies and non-linear associations.
method DiffKnock uses diffusion models to generate knockoffs and neural network statistics to measure feature importance.
result DiffKnock outperforms existing methods in detecting non-linear associations and preserving feature dependencies.

We study the generalization properties of ridge regression with random features in the statistical learning framework. We show for the first time that O(1/n)O(1/\sqrt{n}) learning bounds can be achieved with only O(nlogn)O(\sqrt{n}\log n) random features rather than O(n)O({n}) as suggested by previous results. Further, we prove fa…

2016-02-14abs ↗pdf ↗

The paper proposes a method to test features selected by SeqFS-DA with controlled FPR.

problem Ensuring reliability of feature selection after domain adaptation in high-dimensional regression.
method Proposes a novel method to test features selected by SeqFS-DA with controlled FPR.
result The proposed method controls FPR below a significance level αα (e.g., 0.05) and enhances statistical power.

New statistical methods improve explainability of boosting models.

problem Uncertainty quantification for boosting models is computationally intensive and hard to interpret.
method Derive methods for statistical inference using gradient boosting and Boulevard regularization.
result Achieve asymptotically normal predictions with theoretical guarantees and runtime independent of data size.

Random feature maps are ubiquitous in modern statistical machine learning, where they generalize random projections by means of powerful, yet often difficult to analyze nonlinear operators. In this paper, we leverage the "concentration" phenomenon induced by random matrix theory to perform a spectral analysis on the Gr…

2018-05-30abs ↗pdf ↗

Proposes a framework for automated radiation therapy treatment planning with uncertainty quantification.

problem Quantifying uncertainties in dose-related quantities for automated treatment planning.
method Three-step pipeline: feature extraction, dose statistic prediction, and dose mimicking.
result Probabilistic treatment plans agree better with clinical counterparts than non-probabilistic ones.

Develops methods to analyze feature-outcome associations in subpopulations.

problem Challenges in understanding feature-outcome associations in high-dimensional data.
method Geometric decomposition framework using gradient flow and co-monotonicity decomposition.
result Identifies context-dependent patterns and improves statistical power and interpretability.

Statistical mechanics explains learning in large neural networks near interpolation.

problem Understanding the learning dynamics of large neural networks near interpolation.
method Statistical physics analysis of a two-layer network with generic weight distribution and activation function.
result Learning transitions and feature learning emerge as the number of data increases.

theft package simplifies feature extraction for time series analysis in R.

problem Lack of a unified access point and methodological pipelines for feature-based time series analysis.
method theft package provides a unified framework for computing features from six open-source time series feature sets.
result theft enables comprehensive quantification and interpretation of time series structure.

Infinite mixture models are commonly used for clustering. One can sample from the posterior of mixture assignments by Monte Carlo methods or find its maximum a posteriori solution by optimization. However, in some problems the posterior is diffuse and it is hard to interpret the sampled partitionings. In this paper, we…

2013-10-01abs ↗pdf ↗

New model optimizes feature alignment, improving statistical and computational efficiency.

problem Statistical and computational challenges in feature alignment.
method Covariance alignment model, Gromov-Wasserstein algorithm.
result Gromov-Wasserstein algorithm is minimax optimal and practical for covariance alignment.