arXiv AI

Alternate loss functions and regression models that achieve robustness to outliers by modulating the learning rate

arXiv:2606. 22068v2 Announce Type: replace-cross Abstract: Most real-world datasets used for training supervised learning models are contaminated with noisy data and outliers leading to large prediction errors.

arXiv Machine Learning
Sep 1

Robust Broad Learning System with Wave Loss for Classification under Data Uncertainty

The paper introduces Wave-BLS, a robust Broad Learning System that replaces the traditional squared error loss with an asymmetric, bounded, and smooth wave loss function. This change allows controlled penalization of large errors and eliminates the need for matrix inversion by using a Nesterov accelerated gradient scheme. Experiments on 30 UCI datasets show that Wave-BLS consistently outperforms classical BLS and other robust variants, with statistical tests confirming the significance of the improvements and demonstrating greater resilience to noise and outliers.

By Mushir Akhtar, A. Varshney, A. Quadir, A. Rahaman, M. Tanveer, Mohd. Arshad
Hugging Face Trending Papers
Jul 14

Statistical Non-linear Reconstruction Loss for Image Anomaly Detection

Reconstruction-based methods are a cornerstone of unsupervised image anomaly detection, but they remain vulnerable to \emph{outlier leakage}, where standard mean squared error (MSE) loss drives the model to faithfully reconstruct anomalous patterns. We propose a Non-linear Reconstruction Loss that applies a sigmoid-based squashing function to suppress high-magnitude features, preventing outliers from dominating optimization while preserving sensitivity to normal patterns.

arXiv Machine Learning
4d ago

Learning Distributionally Robust First-Order Methods for Convex Optimization

The paper introduces a distributionally robust method for learning hyperparameters of first‑order convex optimization algorithms. By minimizing a Wasserstein‑robust performance estimation problem over a dataset of problem instances, the approach interpolates between classical learning‑to‑optimize (L2O) and worst‑case PEP design. The authors solve the resulting problem with stochastic gradient descent, provide high‑probability risk bounds, and demonstrate that the learned algorithms outperform both worst‑case optimal and vanilla L2O baselines on logistic regression, LASSO, and linear programming tasks.

By Vinit Ranjan, Jisun Park, Bartolomeo Stellato
arXiv Machine Learning
Jul 27

Smart predict-then-robustly-optimize

arXiv:2607. 21773v1 Announce Type: new Abstract: In this paper, we propose and study a robust variant of the smart predict-then-optimize approach that accounts for prediction shifts due to disturbance in the covariate feature space.

By Aakil Caunhye, Xuefei Lu, Belen Martin-Barragan