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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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194388582776 · Jun 202019922001200920182026
48 results for weighted Mean Absolute Error (MAE) regression

The paper examines MAPE's use in regression models and its implications.

problem The use of Mean Absolute Percentage Error (MAPE) as a quality measure for regression models.
method Proves the existence of an optimal MAPE model, shows universal consistency of Empirical Risk Minimization based on MAPE, and demonstrates the equivalence of MAPE model selection to weighted MAE regression.
result Finding the best model under MAPE is equivalent to weighted MAE regression, and this strategy is applied to kernel regression.

We study in this paper the consequences of using the Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. We show that finding the best model under the MAPE is equivalent to doing weighted Mean Absolute Error (MAE) regression. We show that universal consistency of Empirical Risk Minimiza…

2015-06-12abs ↗pdf ↗

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.

The paper bounds the mean absolute error in DNN vector-to-vector regression.

problem Bounding the mean absolute error in deep neural network based vector-to-vector regression.
method Error decomposition techniques in statistical learning theory and non-convex optimization theory were used to derive upper bounds for approximation, estimation, and optimization errors.
result Theoretical upper bounds for mean absolute error in DNN vector-to-vector regression were derived and validated experimentally.

New insights into MAE show it treats examples unequally and IMAE improves this.

problem Noise-robust learning in deep learning models.
method Analysis of MAE's noise-robustness and proposing IMAE to improve it.
result IMAE improves MAE's fitting ability while preserving its noise-robustness.

Paper proposes a new metric to evaluate survival models, especially for censored data.

problem Challenges in evaluating survival prediction models due to censored data.
method Developed a novel approach to estimate Mean Absolute Error (MAE) for survival datasets with censored data.
result The proposed MAE metric using pseudo-observations accurately ranks model performance and closely matches true MAE.

Study compares machine learning algorithms for predicting SST in the Great Barrier Reef.

problem Predicting sea surface temperature in the Great Barrier Reef region.
method Ridge regression, LASSO, Random Forest, and Extreme Gradient Boosting (XGBoost) algorithms were evaluated.
result XGBoost significantly outperforms other algorithms in terms of predictive accuracy and Kullback-Leibler Divergence.

Study compares MoE and RNN models for stock price prediction across volatility profiles.

problem Improving stock price prediction accuracy across different volatility levels.
method Dynamic Mixture of Experts model combining RNN and linear models, adjusting weights through a gating network.
result MoE model outperforms individual models in reducing prediction errors.

Models predict probabilities of causation from limited data.

problem Estimating probabilities of causation requires unreliable or impractical experimental and observational data.
method Proposed Exact-MLP and Mask-MLP models trained on reliable subpopulations.
result Models achieve average MAEs of roughly 0.03, reducing MAE by 80%.

The paper compares machine learning models for forecasting residential gas demand, highlighting the impact of temperature forecasts.

problem Forecasting residential gas demand for optimal energy planning.
method Implemented and compared five models: Ridge Regression, GP, k-Nearest Neighbour, ANN, and Torus Model.
result ANN is the best model in terms of RMSE, while GP is the best in terms of MAE.

A visualization aids in comparing regression models by highlighting errors and correlations.

problem Comparing regression models is difficult due to varying hyper-parameters and metrics.
method Introduces a novel visualization approach using 2D residual space, Mahalanobis distance, and colormaps.
result Enhanced understanding of regression model performance differences and error distributions.

Predicts individual septic shock children's vasoactive response using RNN.

problem Personalized physiologic responses to vasoactive titrations in septic shock children.
method Retrospective analysis of EMR data using a Recurrent Neural Network (RNN).
result RNN model predicted physiologic responses more accurately than a linear model.

Study uses ML and causal analysis to predict student performance factors.

problem Understanding socio-academic and economic factors affecting student performance.
method Employed machine learning techniques and causal analysis on 1,050 student profiles.
result Ridge Regression achieved robust predictions with MAE of 0.12 and MSE of 0.024.

This study compares deep learning and statistical models for stock price forecasting.

problem Accurate stock price prediction is challenging due to market volatility.
method Used deep learning (LSTM, RNN, CNN, FULL CNN) and statistical models (ARIMA, Moving Averages) on S&P 500 data.
result LSTM model showed the lowest Mean Absolute Error (MAE), indicating highest accuracy.

A novel algorithm predicts customized allergy seasons using multi-variate triple-regression.

problem Predicting customized allergy seasons for individual patients.
method Triple-regression algorithm with pre-processing and three-stage regressions.
result Improved forecasting accuracy and reduced uncertainty.

LALR adapts learning rate for faster convergence in regression and neural nets.

problem Finding optimal learning rates for faster convergence in regression and neural networks.
method Lipschitz continuity theory applied to Mean Absolute Error and Quantile loss functions.
result Adaptive learning rate policy enables up to 20x faster convergence.

New framework assesses extreme errors in machine learning models.

problem Current validation methods fail to quantify extreme errors in high-stakes domains.
method Uses Extreme Value Theory (EVT) to estimate worst-case failures.
result Establishes EVT as a fundamental tool for assessing model reliability.

The study improves VaR forecast accuracy by modeling conditional quantile dynamics.

problem Improving the accuracy of Value-at-Risk (VaR) forecasts for time-varying quantiles.
method Time-varying modeling of VaR, evaluation via simulation, asymmetric Mean Absolute Deviation loss function.
result Substantial improvements in forecasting conditional quantiles by maintaining predicted quantile unchanged.

New model predicts sales of new products with short life cycles.

problem Forecasting sales of new products with short lead times and life cycles.
method Developed an exponential factorization machine (EFM) to consider attributes and pairwise interactions.
result EFM model outperforms existing models in terms of MAPE and MAE.

Method converts age labels into distributions to improve speaker age estimation.

problem Label ambiguity in age labels makes precise speaker age estimation challenging.
method Converts age labels into label distributions and uses label distribution learning.
result Our method outperforms baseline methods by reducing MAE by 10% on a real-world dataset.

Deep learning models predict acute oral toxicity with high accuracy.

problem Challenges in interpreting relationships between chemical properties and features.
method Molecular graph encoding convolutional neural networks (MGE-CNN) for automatic feature extraction.
result Deep learning models outperform previous methods in predicting AOT with high accuracy.

Robustly estimates linear regression coefficients with adversarial and noisy data.

problem Estimating robust linear regression coefficients with adversarial and noisy data.
method Adversarial robust weighted Huber regression with polynomial computational complexity.
result Derives an estimation error bound that depends on the stable rank and condition number of the covariance matrix.

XGBoost predicts NEPSE Index log returns with low error and high directional accuracy.

problem Forecasting daily log-returns in the NEPSE Index with high accuracy.
method XGBoost machine learning, feature engineering, hyperparameter optimization, walk-forward validation.
result Optimal XGBoost configuration achieves lowest log-return RMSE and MAE.

This paper achieves optimal regret bounds for locally private linear contextual bandit.

problem Designing locally private linear contextual bandit algorithms with optimal regret bounds.
method New algorithmic and analytical ideas, including mean absolute deviation analysis and layered principal component regression.
result Achieves an ildeO(T) ilde O(\sqrt{T}) regret upper bound for locally private linear contextual bandit.

MTCNet uses MTL to estimate crowd density and count.

problem Crowd count estimation challenges due to scale variations and perspective.
method MTL deep neural network architecture with two tasks: density estimation and count classification.
result Achieves lower MAE than state-of-the-art methods on multiple datasets.

Graph neural controlled differential equations learn graph dynamics from vertex observations.

problem Predicting future states of dynamical systems on graphs with limited vertex data.
method Incorporates graph topology information into NCDE to predict graph dynamics.
result Informed NCDE requires fewer parameters and lower MAE compared to previous methods.

A new framework for semi-supervised ordinal regression.

problem Lack of evaluation metrics and theoretical guarantees in existing semi-supervised ordinal regression.
method Empirical risk minimization principle, flexible model choices, and estimation error bound.
result Consistent risk estimator and improved performance across various metrics.

Deep model improves option pricing for CSI 300 index with sentiment and volatility features.

problem Challenges in real market option pricing, especially with constant volatility assumption.
method Deep Forward-Backward Stochastic Differential Equation (FBSDE) framework with dual-network architecture.
result Significant reduction in MAE and MAPE compared to BSM model.