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The use of tiered warnings and multicategorical forecasts are ubiquitous in meteorological operations. Here, a flexible family of scoring functions is presented for evaluating the performance of ordered multicategorical forecasts. Each…

Applications · Statistics 2022-05-02 Robert Taggart , Nicholas Loveday , Deryn Griffiths

We develop a new classification framework based on the theory of coherent risk measures and systemic risk. The proposed approach is suitable for multi-class problems when the data is noisy, scarce (relative to the dimension of the problem),…

Machine Learning · Statistics 2026-05-29 Darinka Dentcheva , Xiangyu Tian

In this paper, we present a unified framework for decision making under uncertainty. Our framework is based on the composite of two risk measures, where the inner risk measure accounts for the risk of decision given the exact distribution…

Optimization and Control · Mathematics 2015-01-07 Pengyu Qian , Zizhuo Wang , Zaiwen Wen

The modern pervasiveness of large-scale deep neural networks (NNs) is driven by their extraordinary performance on complex problems but is also plagued by their sudden, unexpected, and often catastrophic failures, particularly on…

Machine Learning · Computer Science 2023-08-02 Sadhana Lolla , Iaroslav Elistratov , Alejandro Perez , Elaheh Ahmadi , Daniela Rus , Alexander Amini

Threats targeting cyberspace are becoming more prominent and intelligent day by day. This inherently leads to a dire demand for continuous security validation and testing. Using this paper, we aim to provide a holistic and precise security…

Cryptography and Security · Computer Science 2021-08-17 Hardik Manocha , Akash Srivastava , Chetan Verma , Ratan Gupta , Bhavya Bansal

Process capability indices such as $C_{pk}$ are widely used for manufacturing decisions, yet are typically applied via deterministic thresholding of finite-sample estimates, ignoring uncertainty and leading to unstable outcomes near the…

Applications · Statistics 2026-04-16 Fei Jiang , Lei Yang

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

Methodology · Statistics 2019-08-20 Kartik Ahuja , Mihaela van der Schaar

Human-supervision in multi-agent teams is a critical requirement to ensure that the decision-maker's risk preferences are utilized to assign tasks to robots. In stressful complex missions that pose risk to human health and life, such as…

Artificial Intelligence · Computer Science 2019-09-17 Sarah Al-Hussaini , Jason M. Gregory , Shaurya Shriyam , Satyandra K. Gupta

Scoring systems, as a type of predictive model, have significant advantages in interpretability and transparency and facilitate quick decision-making. As such, scoring systems have been extensively used in a wide variety of industries such…

Machine Learning · Computer Science 2022-11-23 Yi Yang , Ying Wu , Mei Li , Xiangyu Chang , Yong Tan

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Demands on the disaster response capacity of the European Union are likely to increase, as the impacts of disasters continue to grow both in size and frequency. This has resulted in intensive research on issues concerning spatially-explicit…

Computational Engineering, Finance, and Science · Computer Science 2014-09-30 Dario Rodriguez-Aseretto , Christian Schaerer , Daniele de Rigo

We propose a model-agnostic framework for short-term occupational accident forecasting that leverages safety inspections and models accident occurrences as binary time series. The approach generates daily predictions, which are then…

Machine Learning · Computer Science 2025-12-30 Aho Yapi , Pierre Latouche , Arnaud Guillin , Yan Bailly

We introduce a framework for calibrating machine learning models so that their predictions satisfy explicit, finite-sample statistical guarantees. Our calibration algorithms work with any underlying model and (unknown) data-generating…

Machine Learning · Computer Science 2022-10-03 Anastasios N. Angelopoulos , Stephen Bates , Emmanuel J. Candès , Michael I. Jordan , Lihua Lei

This research introduces a multi-horizon contingency model predictive control (CMPC) framework in which classes of robust MPC (RMPC) algorithms are combined with classes of learning-based MPC (LB-MPC) algorithms to enable safe learning. We…

Optimization and Control · Mathematics 2025-05-30 Merlijne Geurts , Tren Baltussen , Alexander Katriniok , Maurice Heemels

The scenario approach provides a powerful data-driven framework for designing solutions under uncertainty with rigorous probabilistic robustness guarantees. Existing theory, however, primarily addresses assessing robustness with respect to…

Machine Learning · Statistics 2026-04-02 Simone Garatti , Lucrezia Manieri , Alessandro Falsone , Algo Carè , Marco C. Campi , Maria Prandini

Systemic risk is a rapidly developing area of research. Classical financial models often do not adequately reflect the phenomena of bubbles, crises, and transitions between them during credit cycles. To study very improbable events,…

Mathematical Finance · Quantitative Finance 2023-05-11 Kamil Fortuna , Janusz Szwabiński

Forecasts of multivariate probability distributions are required for a variety of applications. Scoring rules enable the evaluation of forecast accuracy, and comparison between forecasting methods. We propose a theoretical framework for…

Statistics Theory · Mathematics 2026-01-30 Xiaochun Meng , James W. Taylor , Souhaib Ben Taieb , Siran Li

Advanced classification algorithms are being increasingly used in safety-critical applications like health-care, engineering, etc. In such applications, miss-classifications made by ML algorithms can result in substantial financial or…

Machine Learning · Computer Science 2024-12-06 Disha Ghandwani , Neeraj Sarna , Yuanyuan Li , Yang Lin

Climate change is amplifying extreme precipitation events in many regions and imposes substantial challenges for the resilience of road drainage infrastructure. Conventional design storm methodologies, which rely on historical trends of…

Geophysics · Physics 2025-08-15 Mohammad Fereshtehpour , Rashid Bashir , Neil F. Tandon

The rapid integration of Large Language Models (LLMs) across diverse sectors has marked a transformative era, showcasing remarkable capabilities in text generation and problem-solving tasks. However, this technological advancement is…

Cryptography and Security · Computer Science 2024-03-21 Rahul Pankajakshan , Sumitra Biswal , Yuvaraj Govindarajulu , Gilad Gressel
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