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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.

168,657 papers · 148 categories

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55110164219 · Jun 202019922001200920172026
48 results for stepwise regression

SplitWise enhances stepwise regression by adaptively encoding numeric predictors into binary features.

problem Capturing nonlinear relationships in regression models without sacrificing interpretability.
method Adaptive encoding of numeric predictors into binary features using shallow decision trees, assessed by AIC or BIC.
result Consistently produces more parsimonious and generalizable models than traditional techniques.

Proposes a new algorithm for Sparse Bayesian Learning connected to Stepwise Regression.

problem Sparse Bayesian Learning for probabilistic models.
method Coordinate ascent algorithm (RMP) for SBL, showing connection to Stepwise Regression.
result RMP's noise variance parameter limit connects to Stepwise Regression, with derived guarantees.

Bayesian method corrects for model selection multiplicity in regression.

problem Model selection multiplicity in regression analysis.
method Developed a Bayesian prior distribution based on Holm procedure analogy.
result Adequate multiplicity correction requires sparsity not provided by recommended priors.

Improved equation learning accuracy via comprehensive R²-elimination and Bayesian model selection.

problem Challenges in exhaustive equation learning due to multicollinearity and greedy steps.
method Combines R2R^2 and Bayesian model evidence for a comprehensive yet efficient search.
result Our approach surpasses all other methods in identification accuracy, especially in exact equation recovery.

Least Angle Regression is a promising technique for variable selection applications, offering a nice alternative to stepwise regression. It provides an explanation for the similar behavior of LASSO (1\ell_1-penalized regression) and forward stagewise regression, and provides a fast implementation of both. The idea has…

2008-02-07abs ↗pdf ↗

In this era of big data, feature selection techniques, which have long been proven to simplify the model, makes the model more comprehensible, speed up the process of learning, have become more and more important. Among many developed methods, forward and stepwise feature selection regression remained widely used due t…

2019-10-17abs ↗pdf ↗

Adaptive batching improves Gaussian process surrogates for noisy level set estimation.

problem Learning the level set of noisy simulator responses.
method Developed four novel adaptive batching schemes for Gaussian process metamodels.
result Adaptive batching brings significant computational speed-ups with minimal loss of modeling fidelity.

The current study proposes a dimension reduction method, stepwise support vector machine (SVM), to reduce the dimensions of large p small n datasets. The proposed method is compared with other dimension reduction methods, namely, the Pearson product difference correlation coefficient (PCCs), recursive feature eliminati…

2017-11-09abs ↗pdf ↗

I consider unsupervised extensions of the fast stepwise linear regression algorithm \cite{efroymson1960multiple}. These extensions allow one to efficiently identify highly-representative feature variable subsets within a given set of jointly distributed variables. This in turn allows for the efficient dimensional reduc…

2017-06-10abs ↗pdf ↗

A novel stepwise VI method using vine copulas for complex latent dependence.

problem Modeling complex latent dependence structures in probabilistic models.
method Stepwise estimation of vine copula parameters using Rényi divergence and a stopping criterion.
result Our method outperforms mean-field VI and is more parsimonious in complex applications.

This paper explores the following question: what kind of statistical guarantees can be given when doing variable selection in high-dimensional models? In particular, we look at the error rates and power of some multi-stage regression methods. In the first stage we fit a set of candidate models. In the second stage we s…

2007-04-09abs ↗pdf ↗

We compute approximate solutions to L0 regularized linear regression using L1 regularization, also known as the Lasso, as an initialization step. Our algorithm, the Lass-0 ("Lass-zero"), uses a computationally efficient stepwise search to determine a locally optimal L0 solution given any L1 regularization solution. We …

2015-11-13abs ↗pdf ↗

In this article, we advocate the ensemble approach for variable selection. We point out that the stochastic mechanism used to generate the variable-selection ensemble (VSE) must be picked with care. We construct a VSE using a stochastic stepwise algorithm, and compare its performance with numerous state-of-the-art algo…

2010-03-30abs ↗pdf ↗

Develops a more powerful selective inference method for stepwise feature selection.

problem Loss of power in existing conditional SI methods due to over-conditioning.
method Uses homotopy continuation approach to overcome over-conditioning.
result Shows improved power and efficiency in selective inference for feature selection.

We study the conditions for a nilpotent Lie group to be foliated into subgroups that have square integrable (relative discrete series) unitary representations, that fit together to form a filtration by normal subgroups. Then we use that filtration to construct a class of "stepwise square integrable" representations on …

2012-12-09abs ↗pdf ↗

In this paper we discuss the variable selection method from \ell0-norm constrained regression, which is equivalent to the problem of finding the best subset of a fixed size. Our study focuses on two aspects, consistency and computation. We prove that the sparse estimator from such a method can retain all of the importa…

2011-12-05abs ↗pdf ↗

A new random forest algorithm uncovers feature interdependencies better than traditional methods.

problem Tackles the sub-optimality of greedy decision tree implementations in random forests.
method Presented a 'stepwise lookahead' variation of random forests that considers multiple split nodes simultaneously.
result Significantly outperforms greedy random forests in uncovering feature interdependencies, especially in high-noise environments.

Maximal Rate of Stepwise Uncertainty Reduction selects simulations to reduce uncertainty efficiently.

problem Efficiently estimating quantities of interest from multi-fidelity simulations.
method Bayesian sequential strategy that maximizes the ratio of expected uncertainty reduction to simulation cost.
result MR-SUR strategy unifies and provides principled approaches to develop new methods.

Variable selection is of significant importance for classification and regression tasks in machine learning and statistical applications where both predictability and explainability are needed. In this paper, a Copula Entropy (CE) based method for variable selection which use CE based ranks to select variables is propo…

2019-10-28abs ↗pdf ↗

Often in real-world datasets, especially in high dimensional data, some feature values are missing. Since most data analysis and statistical methods do not handle gracefully missing values, the first step in the analysis requires the imputation of missing values. Indeed, there has been a long standing interest in metho…

2015-11-17abs ↗pdf ↗

A machine learning approach for dynamic stock recommendation outperforms traditional strategies.

problem Lack of time for analysts to check all S&P 500 stocks and the need for a reliable stock selection strategy.
method Selecting representative stock indicators, using five machine learning methods, and choosing the model with the lowest Mean Square Error to rank stocks.
result The proposed scheme outperforms the long-only strategy on the S&P 500 index in terms of Sharpe ratio and cumulative returns.

This paper examines from an experimental perspective random forests, the increasingly used statistical method for classification and regression problems introduced by Leo Breiman in 2001. It first aims at confirming, known but sparse, advice for using random forests and at proposing some complementary remarks for both …

2008-11-21abs ↗pdf ↗

How can we design safe reinforcement learning agents that avoid unnecessary disruptions to their environment? We show that current approaches to penalizing side effects can introduce bad incentives, e.g. to prevent any irreversible changes in the environment, including the actions of other agents. To isolate the source…

2018-06-04abs ↗pdf ↗

Bayesian method for estimating inputs leading to specific probability outputs.

problem Estimating inputs for specific probability outputs of uncertain functions.
method Bayesian strategy using Gaussian process modeling and SUR principle.
result Surpassed performance of existing methods through numerical experiments.

Many model selection algorithms produce a path of fits specifying a sequence of increasingly complex models. Given such a sequence and the data used to produce them, we consider the problem of choosing the least complex model that is not falsified by the data. Extending the selected-model tests of Fithian et al. (2014)…

2015-12-08abs ↗pdf ↗

Study compares RL and DT-based control for hedging European call options.

problem Optimizing hedging strategies for European call options with transaction costs.
method Reinforcement Learning vs. Deep Trajectory-based Stochastic Control.
result RL and DT-based methods perform differently under stepwise mean-variance hedging.

Study examines how body segments respond to random vibrations.

problem Understanding human body responses to random vibrations.
method 35 participants were tested with random noise signals. Multiple linear regression models were created to determine influential predictors of peak translational gains.
result Multiple predictors, including motion direction and body segment, significantly influence peak translational gains.

Theoretical work shows integrating coherent reasoning improves LLM performance and error correction.

problem Improving reasoning and error correction in large language models (LLMs) with few-shot prompting.
method Theoretical analysis and sensitivity experiments on transformer behavior with coherent reasoning and corrupted demonstrations.
result The transformer gains better error correction ability and more accurate predictions when coherent reasoning is integrated.

A new Bayesian optimization method tackles constrained optimization with uncertainties.

problem Optimizing functions with uncertain constraints.
method Bayesian optimization with a new acquisition criterion.
result The new criterion optimizes both objective function improvement and constraint reliability.

Study tackles variable selection with missing covariates and outcomes using machine learning and imputation.

problem Missing data in both covariates and outcomes complicates variable selection in health studies.
method Exploits machine learning flexibility and bootstrap imputation for variable selection, comparing multiple methods.
result XGBoost and BART perform best in variable selection with bootstrap imputation, achieving high F1F_1 scores and low Type I errors.

Study evaluates scikit-learn regularization frameworks for machine learning models.

problem Choosing the right regularization framework for applied machine learning models.
method Empirical evaluation of four canonical frameworks (Ridge, Lasso, ElasticNet, Post-Lasso OLS) across 134,400 simulations.
result Lasso recall is highly fragile under multicollinearity; at high condition numbers (kappa) and low SNR, Lasso recall collapses to 0.18 while ElasticNet maintains 0.93.

StepMix estimates mixture models with covariates for social science applications.

problem Estimating latent classes with covariates in social science models.
method Pseudo-likelihood estimation using one-, two-, and three-step approaches.
result Unified framework for expectation-maximization subroutines.

Generative model learns to mimic time-series behavior to generate accurate trajectories.

problem Learning generative models for time-series data with accurate multi-step trajectories.
method Contrastive imitation framework combining autoregressive and adversarial elements.
result The method generates accurate and useful samples from real-world datasets.

New method speeds up model selection for complex scientific tasks.

problem Exhaustive model selection is computationally infeasible for large model spaces.
method Branch-and-bound algorithm with non-monotonic criteria.
result Guaranteed identification of optimal models with significant computational speedups.

Step-DAD improves BED by periodically updating a design policy during experiments.

problem Improving flexibility and robustness in Bayesian experimental design.
method Semi-amortized, policy-based approach that updates a design policy during data collection.
result Consistently superior decision-making and robustness compared to current BED methods.