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We study the problem of incorporating risk while making combinatorial decisions under uncertainty. We formulate a discrete submodular maximization problem for selecting a set using Conditional-Value-at-Risk (CVaR), a risk metric commonly…

Artificial Intelligence · Computer Science 2018-10-30 Lifeng Zhou , Pratap Tokekar

Convolutional Neural Networks experience catastrophic forgetting when optimized on a sequence of learning problems: as they meet the objective of the current training examples, their performance on previous tasks drops drastically. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Davide Abati , Jakub Tomczak , Tijmen Blankevoort , Simone Calderara , Rita Cucchiara , Babak Ehteshami Bejnordi

Policy gradient methods are among the most effective methods for large-scale reinforcement learning, and their empirical success has prompted several works that develop the foundation of their global convergence theory. However, prior works…

Machine Learning · Computer Science 2020-12-25 Junzi Zhang , Jongho Kim , Brendan O'Donoghue , Stephen Boyd

In several real-world applications involving decision making under uncertainty, the traditional expected value objective may not be suitable, as it may be necessary to control losses in the case of a rare but extreme event. Conditional…

Machine Learning · Computer Science 2018-08-07 Ravi Kumar Kolla , Prashanth L. A. , Sanjay P. Bhat , Krishna Jagannathan

Though deep reinforcement learning (DRL) has obtained substantial success, it may encounter catastrophic failures due to the intrinsic uncertainty of both transition and observation. Most of the existing methods for safe reinforcement…

Machine Learning · Computer Science 2025-05-20 Chengyang Ying , Xinning Zhou , Hang Su , Dong Yan , Ning Chen , Jun Zhu

In safety-critical decision-making, the environment may evolve over time, and the learner adjusts its risk level accordingly. This work investigates risk-averse online optimization in dynamic environments with varying risk levels, employing…

Optimization and Control · Mathematics 2025-12-30 Siyi Wang , Zifan Wang , Karl H. Johansson

We propose a novel randomized incremental gradient algorithm, namely, VAriance-Reduced Accelerated Gradient (Varag), for finite-sum optimization. Equipped with a unified step-size policy that adjusts itself to the value of the condition…

Optimization and Control · Mathematics 2019-11-01 Guanghui Lan , Zhize Li , Yi Zhou

Scenario optimization and conformal prediction share a common goal, that is, turning finite samples into safety margins. Yet, different terminology often obscures the connection between their respective guarantees. This paper revisits that…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Giuseppe C. Calafiore

We consider the problem of learning the causal MAG of a system from observational data in the presence of latent variables and selection bias. Constraint-based methods are one of the main approaches for solving this problem, but the…

Machine Learning · Computer Science 2021-10-26 Sina Akbari , Ehsan Mokhtarian , AmirEmad Ghassami , Negar Kiyavash

It was recently shown that dynamic programming (DP) methods for finding static CVaR-optimal policies in Markov Decision Processes (MDPs) can fail when based on the dual formulation, yet the root cause of this failure remains unclear. We…

Machine Learning · Computer Science 2026-04-16 Mathieu Godbout , Audrey Durand

A popular framework for enforcing safe actions in Reinforcement Learning (RL) is Constrained RL, where trajectory based constraints on expected cost (or other cost measures) are employed to enforce safety and more importantly these…

Machine Learning · Computer Science 2024-08-09 Huy Hoang , Tien Mai , Pradeep Varakantham

In real-world scenarios, risk-averse learning is valuable for mitigating potential adverse outcomes. However, the delayed feedback makes it challenging to assess and manage risk effectively. In this paper, we investigate risk-averse…

Machine Learning · Computer Science 2025-08-06 Siyi Wang , Zifan Wang , Karl Henrik Johansson , Sandra Hirche

This paper studies the problem of data collection for policy evaluation in Markov decision processes (MDPs). In policy evaluation, we are given a target policy and asked to estimate the expected cumulative reward it will obtain in an…

Machine Learning · Computer Science 2022-06-22 Subhojyoti Mukherjee , Josiah P. Hanna , Robert Nowak

This paper considers the problem of learning safe policies in the context of reinforcement learning (RL). In particular, we consider the notion of probabilistic safety. This is, we aim to design policies that maintain the state of the…

Machine Learning · Computer Science 2023-04-20 Weiqin Chen , Dharmashankar Subramanian , Santiago Paternain

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

Optimization and Control · Mathematics 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

While maximizing expected return is the goal in most reinforcement learning approaches, risk-sensitive objectives such as conditional value at risk (CVaR) are more suitable for many high-stakes applications. However, relatively little is…

Machine Learning · Computer Science 2020-04-06 Ramtin Keramati , Christoph Dann , Alex Tamkin , Emma Brunskill

Considering non-stationary environments in online optimization enables decision-maker to effectively adapt to changes and improve its performance over time. In such cases, it is favorable to adopt a strategy that minimizes the negative…

Systems and Control · Electrical Eng. & Systems 2024-04-05 Siyi Wang , Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson , Sandra Hirche

In this work, we study an optimizer, Grad-Avg to optimize error functions. We establish the convergence of the sequence of iterates of Grad-Avg mathematically to a minimizer (under boundedness assumption). We apply Grad-Avg along with some…

Machine Learning · Computer Science 2020-12-11 Saugata Purkayastha , Sukannya Purkayastha

Conditional Value at Risk (CVaR) is a family of "coherent risk measures" which generalize the traditional mathematical expectation. Widely used in mathematical finance, it is garnering increasing interest in machine learning, e.g., as an…

Machine Learning · Computer Science 2020-11-17 Zakaria Mhammedi , Benjamin Guedj , Robert C. Williamson

Planning in Markov decision processes (MDPs) typically optimises the expected cost. However, optimising the expectation does not consider the risk that for any given run of the MDP, the total cost received may be unacceptably high. An…

Artificial Intelligence · Computer Science 2022-03-11 Marc Rigter , Paul Duckworth , Bruno Lacerda , Nick Hawes
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