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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.

169,341 papers · 148 categories

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67135202269 · Jun 202019922001200920182026
48 results for MSE rate

This article presents valuation of Treasury Bonds (T-Bonds) on Macedonian Stock Exchange (MSE) and empirical test of duration, modified duration and convexity of the T-bonds at MSE in order to determine sensitivity of bonds prices on interest rate changes. The main goal of this study is to determine how standard valuat…

2012-06-29abs ↗pdf ↗

Study shows MSE with sigmoid can match SCE in classification tasks, especially with noisy data.

problem Inconsistent errors in neural network classification tasks.
method Introduced Output Reset algorithm to use MSE with sigmoid activation.
result MSE with sigmoid activation achieves comparable accuracy and convergence rates to Softmax Cross-Entropy, especially in noisy data scenarios.

A new MI estimator reduces complexity to linear time, achieving optimal MSE rates.

problem High computational complexity of MI estimators.
method Ensemble Dependency Graph Estimator (EDGE) combining LSH, dependency graphs, and ensemble bias-reduction.
result EDGE achieves optimal computational complexity O(N)O(N) and parametric MSE rate O(1/N)O(1/N).

The paper analyzes convergence rates of Gaussian process approximations for scalable regression.

problem Characterizing convergence rates of Gaussian process approximations for scalable regression.
method Analysis of kernel functions and dataset-size nn for isotropic kernels like Matérn and squared-exponential.
result Upper and lower bounds on predictive MSE and calibration metric convergence rates are derived.

Proposes new terms for neural image compression to improve quality and efficiency.

problem Improving the quality and efficiency of neural image compression.
method Introduces a compression objective and a cycle loss term, applied to autoencoder encoder outputs, combined with reconstruction losses.
result Different autoencoders trained with varying losses produce images with distinct perceptual qualities and image-domain distortions.

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.

The problem of f-divergence estimation is important in the fields of machine learning, information theory, and statistics. While several nonparametric divergence estimators exist, relatively few have known convergence properties. In particular, even for those estimators whose MSE convergence rates are known, the asympt…

2014-11-07abs ↗pdf ↗

Paper proposes HIDAM model to improve MSE default risk assessment using heterogeneous information networks.

problem Default risk assessment for MSEs due to lack of credit information and diverse financial activities.
method HIDAM model incorporating heterogeneous information networks with multi-typed nodes and links, extracting interactive information through meta-paths, and using a hierarchical attention mechanism.
result HIDAM model outperforms state-of-the-art competitors on real-world banking data.

We derive a mapping between MSE and CCC, revealing counterintuitive insights.

problem Missing mapping between mean square error and concordance correlation coefficient.
method Derive mathematical formula connecting MSE and CCC, analyze graphical implications.
result Formula uncovers counterintuitive insights and precise range for CCC given MSE.

Deep nets trained with MSE loss exhibit Neural Collapse, collapsing features and classifiers to class means.

problem Understanding Neural Collapse in MSE-trained deep nets.
method Developed a new MSE loss decomposition and introduced the central path concept.
result Exact dynamics of Neural Collapse along the central path can be predicted.

Enhances random forest performance with exogenous randomness.

problem Improving random forest performance through exogenous randomness.
method Developed non-asymptotic MSE expansions for individual trees and forests, identified two types of randomness, and conducted simulations.
result Exogenous randomness, particularly feature subsampling, reduces both bias and variance of random forests.

This work justifies neural collapse under MSE loss and analyzes the optimization landscape.

problem Understanding neural collapse in deep neural networks under MSE loss.
method Global landscape analysis of vanilla nonconvex MSE loss.
result The only global minimizers are neural collapse solutions.

Adaptive NN method improves matrix completion for non-smooth data.

problem Matrix completion with non-smooth non-linear functions under high missingness.
method Two-sided nearest neighbors with \Holder function class non-linearity.
result NN error rate matches oracle's for latent factors, non-trivial for wide range of missingness.

New estimators outperform maximum likelihood without hyper-parameter estimation.

problem Improving system identification performance without hyper-parameter estimation.
method Developed generalized Bayes and closed-form biased estimators using excess MSE.
result New estimators have comparable performance to empirical-Bayes-based regularized estimator.

Develops a theoretical framework for scalable Gaussian Process regression methods.

problem Limited scalability of Gaussian Process regression for large datasets.
method Introduces and analyzes Nearest Neighbour Gaussian Process (NNGP) and scalable GPnn methods.
result Derives almost sure pointwise limits for predictive criteria and proves risk minimax rates.

The paper develops a method to accurately estimate the Bayes misclassification error rate.

problem Estimating the best achievable classifier performance without learning a Bayes-optimal classifier.
method Learning to benchmark using an ensemble of ε-ball estimators and Chebyshev approximation.
result The proposed method achieves an optimal mean squared error rate of O(N^(-1)) under a smoothness assumption.

This paper solves hedging in incomplete markets using neural networks.

problem Hedging in incomplete markets with risk factor, illiquidity, and discrete transaction dates.
method Proposes a jump-diffusion model and uses RNN, LSTM, and Mogrifier-LSTM neural networks for hedging strategies.
result Mogrifier-LSTM is the fastest and most effective model for hedging.

New study shows tradeoffs between compression quality, distortion, and perception.

problem Optimizing compression for low distortion often sacrifices perceptual quality.
method Adopted Blau & Michaeli's perceptual quality definition and studied the rate-distortion-perception tradeoff.
result Restricting perceptual quality to high generally requires a trade-off between rate and distortion.

New method for efficient graph signal sampling and reconstruction.

problem Minimizing MSE in graph signal reconstruction with noisy data.
method Formulated as binary constraint minimization, approximated via SDP relaxation and greedy algorithm.
result Randomized greedy algorithm provides near-optimal subset with significant speedup.

SLOPE outperforms LASSO in low noise scenarios but is suboptimal in large noise scenarios.

problem Sparse linear regression with high-dimensional data.
method Characterized SLOPE's estimation error under specific conditions and compared it with LASSO and bridge regression.
result SLOPE is optimal for low noise scenarios but suboptimal in large noise scenarios.

Bagging reduces MSE for unstable estimators like trees, but only if the distribution has high kurtosis.

problem Theoretical properties of bagging applied to statistical estimators.
method Theoretical analysis of MSE reduction for bagged estimators, focusing on variance estimation.
result Bagging reduces MSE for unstable estimators like trees, but only if the distribution has high kurtosis.

CAEL-MIPS learns embeddings to improve MIPS for better OPE in contextual bandits.

problem High variance in IPS weighting for OPE in large action spaces.
method Context-Action Embedding Learning (CAEL) for MIPS to minimize MSE.
result CAEL-MIPS outperforms baselines in MSE for OPE in contextual bandits.

Study examines how data augmentation impacts optimization in linear regression.

problem Understanding how data augmentation schedules affect optimization in linear regression.
method Analyzed the effect of augmentation on optimization in linear regression with MSE loss, using classical convex optimization and recent work on implicit bias.
result Proved that under certain joint schedules for learning rate and augmentation scheme, augmented gradient descent converges and characterized the resulting minimum.

The paper explains why estimating a history-dependent policy can reduce MSE in reinforcement learning.

problem Understanding why history-dependent policies can improve MSE in off-policy evaluation.
method The paper derives a bias-variance decomposition of MSE for various OPE estimators, showing how history-dependent policies can decrease variance and increase bias.
result History-dependent policies can decrease the variance of importance sampling estimators, leading to lower MSE.

The paper explores MAE as a loss function for DNN vector-to-vector regression, proving its advantages over MSE.

problem Improving loss function for deep neural network based vector-to-vector regression.
method Presenting performance bounds and new properties of MAE, deriving generalized upper bounds, and interpreting MAE as a Laplacian distribution.
result MAE is a more suitable loss function than MSE for DNN based vector-to-vector regression, especially when errors follow a Laplacian distribution.

In this paper, we derive Hybrid, Bayesian and Marginalized Cramér-Rao lower bounds (HCRB, BCRB and MCRB) for the single and multiple measurement vector Sparse Bayesian Learning (SBL) problem of estimating compressible vectors and their prior distribution parameters. We assume the unknown vector to be drawn from a compr…

2012-02-06abs ↗pdf ↗

Improved covariance matrix estimation for multiple classes with limited data.

problem Estimating covariance matrices for multiple classes with scarce data.
method Coupled regularized sample covariance matrix estimator (RSCM) that combines pooled SCM and scaled identity matrix for regularization.
result The coupled RSCM estimators outperform cross-validation in classification tasks with comparable accuracy but faster computation.

Paper proposes a new autoencoder metric for balanced learning in imbalanced tabular datasets.

problem Challenges of imbalanced self-supervised learning in tabular data.
method Developed a Multi-Supervised Balanced MSE metric to balance learning.
result The new metric outperforms standard MSE in imbalanced datasets.

RG-TTA adapts neural forecasters to streaming time series shifts by modulating adaptation intensity.

problem Adapting neural forecasters to distribution shifts in streaming time series data.
method RG-TTA uses a meta-controller that continuously modulates adaptation intensity based on distributional similarity.
result RG-TTA achieves the lowest MSE in 156 of 224 seed-averaged experiments, reducing MSE by 5.7% vs TTA.

Paper improves TD(0) convergence rate with LFA, i.i.d. samples, and averaging.

problem Improving convergence rate of TD(0) with linear function approximation.
method Polyak-Juditsky averaging, i.i.d. samples, strong mixing assumption.
result Established a new convergence rate for Mean-Square Error (MSE) of approximated function.

Study predicts MSE survival using feature selection with missing data imputation methods.

problem Predicting survival of micro and small businesses (MSE).
method Feature selection with missing data imputation methods (MI, KNN, EM). Comparison of data mining techniques (logistic regression, naive Bayes, LDA, SVM).
result Developed a model to predict MSE survival.

Optimized AIS scheme reduces bias and MSE for general proposals.

problem Performing Monte Carlo integration with general proposals.
method Global optimization of χ²-divergence using stochastic gradient Langevin dynamics.
result Explicit theoretical guarantees for uniform-in-time MSE reduction.

Modern CATE models often fail to outperform a trivial zero-effect predictor, highlighting significant challenges.

problem Lack of robustness in CATE models when applied to real-world data.
method Large-scale benchmark study using diverse observational sampling strategies and novel statistics.
result 62% of CATE estimates have higher MSE than a trivial zero-effect predictor, indicating poor performance.

New estimator tackles multi-task linear regression with outliers, avoiding eigenvalue lower bounds.

problem Multi-task linear regression with contaminated tasks and eigenvalue lower bounds failure.
method Matrix-weighted norm regularization and relative balancedness condition.
result Prediction MSE bounds match Duan and Wang (2023) under weaker spectral assumptions.

The paper analyzes a simple neural network model with algebraic methods.

problem Finding minima of a ridge-regularized mean squared error for ReLU perceptrons.
method Developed a Divide-Enumerate-Merge strategy using computational algebra.
result Identifies both isolated and connected minima of the RR-MSE.

BASIS improves LLM reasoning by sharing batchwise rollout info, reducing MSE by 69%.

problem Improving large language model reasoning with limited rollouts and batch information.
method BASIS samples only one rollout per prompt but uses batch information to improve value function estimation.
result BASIS reduces MSE in value function estimation by 69% compared to REINFORCE++.