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In practice, network applications have to deal with failing nodes, malicious attacks, or, somehow, nodes facing highly corrupted data --- generally classified as outliers. This calls for robust, uncomplicated, and efficient methods. We…

最优化与控制 · 数学 2014-10-10 Cláudia Soares , João Gomes

Tasks involving high-risk-high-return (HRHR) actions, such as obstacle crossing, often exhibit multimodal action distributions and stochastic returns. Most reinforcement learning (RL) methods assume unimodal Gaussian policies and rely on…

机器学习 · 计算机科学 2025-10-21 Jundong Zhang , Yuhui Situ , Fanji Zhang , Rongji Deng , Tianqi Wei

We propose an (offline) multi-dimensional distributional reinforcement learning framework (KE-DRL) that leverages Hilbert space mappings to estimate the kernel mean embedding of the multi-dimensional value distribution under a proposed…

机器学习 · 计算机科学 2026-01-28 Mehrdad Mohammadi , Qi Zheng , Ruoqing Zhu

Sequential change-point detection in non-Gaussian stochastic processes is challenging because the underlying densities are rarely known in real time. Classical parametric procedures such as CUSUM lose optimality under distributional…

统计方法学 · 统计学 2026-05-28 Serhii Zabolotnii

Seeking to improve model generalization, we consider a new approach based on distributionally robust learning (DRL) that applies stochastic gradient descent to the outer minimization problem. Our algorithm efficiently estimates the gradient…

机器学习 · 统计学 2020-12-24 Soumyadip Ghosh , Mark Squillante

Optimal transport has recently proved to be a useful tool in various machine learning applications needing comparisons of probability measures. Among these, applications of distributionally robust optimization naturally involve Wasserstein…

最优化与控制 · 数学 2023-03-24 Waïss Azizian , Franck Iutzeler , Jérôme Malick

Reinforcement learning (RL) post-training is crucial for LLM alignment and reasoning, but existing policy-based methods, such as PPO and DPO, can fall short of fixing shortcuts inherited from pre-training. In this work, we introduce…

We consider (robust) inference in the context of a factor model for tensor-valued sequences. We study the consistency of the estimated common factors and loadings space when using estimators based on minimising quadratic loss functions.…

统计方法学 · 统计学 2023-08-29 Matteo Barigozzi , Yong He , Lingxiao Li , Lorenzo Trapani

Real-world network applications must cope with failing nodes, malicious attacks, or nodes facing corrupted data - data classified as outliers. Our work addresses these concerns in the scope of the sensor network localization problem where,…

最优化与控制 · 数学 2021-10-05 Claudia Soares , João Gomes

Conditional estimation given specific covariate values (i.e., local conditional estimation or functional estimation) is ubiquitously useful with applications in engineering, social and natural sciences. Existing data-driven non-parametric…

机器学习 · 统计学 2020-10-13 Viet Anh Nguyen , Fan Zhang , Jose Blanchet , Erick Delage , Yinyu Ye

Gradient boosting is a sequential ensemble method that fits a new weaker learner to pseudo residuals at each iteration. We propose Wasserstein gradient boosting, a novel extension of gradient boosting that fits a new weak learner to…

统计方法学 · 统计学 2024-08-30 Takuo Matsubara

Data unfolding -- the removal of noise or artifacts from measurements -- is a fundamental task across the experimental sciences. Of particular interest are applications in physics, where the dominant approach is Richardson-Lucy (RL)…

最优化与控制 · 数学 2026-04-24 Katy Craig , Benjamin Faktor , Benjamin Nachman

Despite of its importance for safe machine learning, uncertainty quantification for neural networks is far from being solved. State-of-the-art approaches to estimate neural uncertainties are often hybrid, combining parametric models with…

机器学习 · 计算机科学 2021-12-03 Joachim Sicking , Maram Akila , Maximilian Pintz , Tim Wirtz , Asja Fischer , Stefan Wrobel

Most conventional Reinforcement Learning (RL) algorithms aim to optimize decision-making rules in terms of the expected returns. However, especially for risk management purposes, other risk-sensitive criteria such as the value-at-risk or…

机器学习 · 计算机科学 2012-03-19 Tetsuro Morimura , Masashi Sugiyama , Hisashi Kashima , Hirotaka Hachiya , Toshiyuki Tanaka

This paper presents a distance-based discriminative framework for learning with probability distributions. Instead of using kernel mean embeddings or generalized radial basis kernels, we introduce embeddings based on dissimilarity of…

机器学习 · 计算机科学 2018-11-16 Alain Rakotomamonjy , Abraham Traoré , Maxime Berar , Rémi Flamary , Nicolas Courty

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Generally, Reinforcement Learning (RL) agent updates its policy by repetitively interacting with the environment, contingent on the received rewards to observed states and undertaken actions. However, the environmental disturbance, commonly…

人工智能 · 计算机科学 2024-11-07 Wei Geng , Baidi Xiao , Rongpeng Li , Ning Wei , Dong Wang , Zhifeng Zhao

Sparse linear regression methods such as Lasso require a tuning parameter that depends on the noise variance, which is typically unknown and difficult to estimate in practice. In the presence of heavy-tailed noise or adversarial outliers,…

统计理论 · 数学 2025-06-17 Takeyuki Sasai , Hironori Fujisawa

Wasserstein distance-based distributionally robust optimization (DRO) has received much attention lately due to its ability to provide a robustness interpretation of various learning models. Moreover, many of the DRO problems that arise in…

最优化与控制 · 数学 2019-10-29 Jiajin Li , Sen Huang , Anthony Man-Cho So

Advancing loss function design is pivotal for optimizing neural network training and performance. This work introduces Random Linear Projections (RLP) loss, a novel approach that enhances training efficiency by leveraging geometric…

机器学习 · 计算机科学 2024-06-03 Shyam Venkatasubramanian , Ahmed Aloui , Vahid Tarokh