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We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming…

Mathematical Finance · Quantitative Finance 2025-05-21 Yevhen Havrylenko

To the best of our knowledge, the application of deep learning in the field of quantitative risk management is still a relatively recent phenomenon. This article presents the key notions of Deep Asset Liability Management (Deep~ALM) for a…

Risk Management · Quantitative Finance 2020-09-11 Thomas Krabichler , Josef Teichmann

The advance of Large Language Models (LLMs) has greatly stimulated research interest in developing multi-modal LLM (MLLM)-based visual anomaly detection (VAD) algorithms that can be deployed in complex environments. The challenge is that in…

Machine Learning · Computer Science 2026-03-04 Congjing Zhang , Feng Lin , Xinyi Zhao , Pei Guo , Wei Li , Lin Chen , Chaoyue Zhao , Shuai Huang

Trust is a crucial factor affecting the adoption of machine learning (ML) models. Qualitative studies have revealed that end-users, particularly in the medical domain, need models that can express their uncertainty in decision-making…

Machine Learning · Computer Science 2023-04-21 Andrew Houston , Georgina Cosma

In recent years, large-scale language models (LLMs) have gained attention for their impressive text generation capabilities. However, these models often face the challenge of "hallucination," which undermines their reliability. In this…

Computation and Language · Computer Science 2023-10-10 Yuchen Yang , Houqiang Li , Yanfeng Wang , Yu Wang

Hyperspectral imagery collected from airborne or satellite sources inevitably suffers from spectral variability, making it difficult for spectral unmixing to accurately estimate abundance maps. The classical unmixing model, the linear…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Danfeng Hong , Naoto Yokoya , Jocelyn Chanussot , Xiao Xiang Zhu

In many high-risk machine learning applications it is essential for a model to indicate when it is uncertain about a prediction. While large language models (LLMs) can reach and even surpass human-level accuracy on a variety of benchmarks,…

Computation and Language · Computer Science 2024-06-06 Evan Becker , Stefano Soatto

Freight rate derivatives constitute a very popular financial tool in shipping industry, that allows to the market participants and the individuals operating in the field, to reassure their financial positions against the risk occurred by…

Risk Management · Quantitative Finance 2025-10-28 Georgios I. Papayiannis

We consider the problem of computing a Wasserstein barycenter for a set of discrete probability distributions with finite supports, which finds many applications in areas such as statistics, machine learning and image processing. When the…

Optimization and Control · Mathematics 2020-12-29 Lei Yang , Jia Li , Defeng Sun , Kim-Chuan Toh

Quantifying uncertainty and updating reliability are essential for ensuring the safety and performance of engineering systems. This study develops a hierarchical Bayesian modeling (HBM) framework to quantify uncertainty and update…

Methodology · Statistics 2024-12-31 Xinyu Jia , Weinan Hou , Costas Papadimitriou

Large language models (LLMs) often generate fluent but factually incorrect outputs, known as hallucinations, which undermine their reliability in real-world applications. While uncertainty estimation has emerged as a promising strategy for…

Machine Learning · Computer Science 2025-05-13 Pei-Fu Guo , Yun-Da Tsai , Shou-De Lin

Predicting future probable values of model parameters, is an essential pre-requisite for assessing model decision reliability in an uncertain environment. Scenario Analysis is a methodology for modelling uncertainty in water resources…

Methodology · Statistics 2013-04-17 Seyed Hamed Alemohammad , Reza Ardakanian , Akbar Karimi

Neural Linear Models (NLM) are deep Bayesian models that produce predictive uncertainties by learning features from the data and then performing Bayesian linear regression over these features. Despite their popularity, few works have…

Machine Learning · Statistics 2021-12-17 Sujay Thakur , Cooper Lorsung , Yaniv Yacoby , Finale Doshi-Velez , Weiwei Pan

Large language models (LLMs) have delivered significant breakthroughs across diverse domains but can still produce unreliable or misleading outputs, posing critical challenges for real-world applications. While many recent studies focus on…

Computation and Language · Computer Science 2025-09-08 Yang Nan , Pengfei He , Ravi Tandon , Han Xu

Although large language models (LLMs) are highly interactive and extendable, current approaches to ensure reliability in deployments remain mostly limited to rejecting outputs with high uncertainty in order to avoid misinformation. This…

Machine Learning · Computer Science 2025-06-10 T. Duy Nguyen-Hien , Desi R. Ivanova , Yee Whye Teh , Wee Sun Lee

The adaptation and use of Machine Learning (ML) in our daily lives has led to concerns in lack of transparency, privacy, reliability, among others. As a result, we are seeing research in niche areas such as interpretability, causality, bias…

Machine Learning · Computer Science 2024-06-04 Fahimeh Fakour , Ali Mosleh , Ramin Ramezani

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

Methodology · Statistics 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

Large language models (LLMs) are increasingly deployed in agentic frameworks, in which prompts trigger complex tool-based analysis in pursuit of a goal. While these frameworks have shown promise across multiple domains including in finance,…

Statistical Finance · Quantitative Finance 2025-07-14 Dimitrios Emmanoulopoulos , Ollie Olby , Justin Lyon , Namid R. Stillman

In this article we present a general framework for non-concave robust stochastic control problems under model uncertainty in a discrete time finite horizon setting. Our framework allows to consider a variety of different path-dependent…

Optimization and Control · Mathematics 2025-05-06 Ariel Neufeld , Julian Sester

Despite the widespread application of Large Language Models (LLMs) across various domains, they frequently exhibit overconfidence when encountering uncertain scenarios, yet existing solutions primarily rely on evasive responses (e.g., "I…

Artificial Intelligence · Computer Science 2025-06-03 Jingyu Liu , Jingquan Peng , xiaopeng Wu , Xubin Li , Tiezheng Ge , Bo Zheng , Yong Liu