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We present a framework to interpret signal temporal logic (STL) formulas over discrete-time stochastic processes in terms of the induced risk. Each realization of a stochastic process either satisfies or violates an STL formula. In fact, we…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Lars Lindemann , Nikolai Matni , George J. Pappas

In high-stakes risk prediction, quantifying uncertainty through interval-valued predictions is essential for reliable decision-making. However, standard evaluation tools like the receiver operating characteristic (ROC) curve and the area…

Machine Learning · Computer Science 2026-02-05 Yuqi Li , Matthew M. Engelhard

The existence of adversarial examples has led to considerable uncertainty regarding the trust one can justifiably put in predictions produced by automated systems. This uncertainty has, in turn, lead to considerable research effort in…

Machine Learning · Computer Science 2019-08-02 Christina Göpfert , Jan Philip Göpfert , Barbara Hammer

Machine learning models are becoming increasingly popular in different types of settings. This is mainly caused by their ability to achieve a level of predictive performance that is hard to match by human experts in this new era of big…

Machine Learning · Computer Science 2021-09-20 Luis Torgo , Paulo Azevedo , Ines Areosa

Reject Inference (RI) methods aim to address sample bias by inferring missing repayment data for rejected credit applicants. Traditional approaches often assume that the behavior of rejected clients can be extrapolated from accepted…

Machine Learning · Computer Science 2025-10-16 Athyrson Machado Ribeiro , Marcos Medeiros Raimundo

Recent work in scalable approximate Gaussian process regression has discussed a bias-variance-computation trade-off when estimating the log marginal likelihood. We suggest a method that adaptively selects the amount of computation to use…

Machine Learning · Statistics 2021-09-21 David R. Burt , Artem Artemev , Mark van der Wilk

We study sequential decision-making with known rewards and unknown constraints, motivated by situations where the constraints represent expensive-to-evaluate human preferences, such as safe and comfortable driving behavior. We formalize the…

Machine Learning · Computer Science 2022-06-13 David Lindner , Sebastian Tschiatschek , Katja Hofmann , Andreas Krause

This paper deals with inference in a class of stable but nearly-unstable processes. Autoregressive processes are considered, in which the bridge between stability and instability is expressed by a time-varying companion matrix $A_{n}$ with…

Statistics Theory · Mathematics 2023-05-18 Marie Badreau , Frédéric Proïa

First, we analyze the variance of the Cross Validation (CV)-based estimators used for estimating the performance of classification rules. Second, we propose a novel estimator to estimate this variance using the Influence Function (IF)…

Machine Learning · Statistics 2021-11-10 Waleed A. Yousef

We propose a hybrid model of portfolio credit risk where the dynamics of the underlying latent variables is governed by a one factor GARCH process. The distinctive feature of such processes is that the long-term aggregate return…

Pricing of Securities · Quantitative Finance 2010-01-07 Arthur M. Berd , Robert F. Engle , Artem Voronov

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

Discrete Mathematics · Computer Science 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

AI research often emphasizes model design and algorithmic performance, while deployment and inference remain comparatively underexplored despite being critical for real-world use. This study addresses that gap by investigating the…

Machine Learning · Computer Science 2026-04-23 Hung Cuong Pham , Fatih Gedikli

Virtually all machine learning tasks are characterized using some form of loss function, and "good performance" is typically stated in terms of a sufficiently small average loss, taken over the random draw of test data. While optimizing for…

Machine Learning · Statistics 2023-12-01 Matthew J. Holland , Kazuki Tanabe

Understanding the dependencies among features of a dataset is at the core of most unsupervised learning tasks. However, a majority of generative modeling approaches are focused solely on the joint distribution $p(x)$ and utilize models…

Machine Learning · Computer Science 2020-08-07 Yang Li , Shoaib Akbar , Junier B. Oliva

State of the art reinforcement learning methods sometimes encounter unsafe situations. Identifying when these situations occur is of interest both for post-hoc analysis and during deployment, where it might be advantageous to call out to a…

Machine Learning · Computer Science 2025-05-29 Alexander Grushin , Walt Woods , Alvaro Velasquez , Simon Khan

Static program analysis by abstract interpretation is an efficient method to determine properties of embedded software. One example is value analysis, which determines the values stored in the processor registers. Its results are used as…

Logic in Computer Science · Computer Science 2011-11-09 Reinhold Heckmann , Christian Ferdinand

Real-world road networks have an approximate scale-invariance property; can one devise mathematical models of random networks whose distributions are {\em exactly} invariant under Euclidean scaling? This requires working in the continuum…

Probability · Mathematics 2015-06-04 David J. Aldous

Consider a linear regression model with independent and identically normally distributed random errors. Suppose that the parameter of interest is a specified linear combination of the regression parameters. We prove that the usual…

Statistics Theory · Mathematics 2017-10-18 Paul Kabaila , Khageswor Giri , Hannes Leeb

We study mean-risk optimal portfolio problems where risk is measured by Recovery Average Value at Risk, a prominent example in the class of recovery risk measures. We establish existence results in the situation where the joint distribution…

Portfolio Management · Quantitative Finance 2023-03-03 Cosimo Munari , Justin Plückebaum , Stefan Weber

Swarms have distributed control and so are assumed to inherently have superior robustness, scalability and adaptability compared to centralised multi-agent systems. However, these features have generally only been defined qualitatively and…

Robotics · Computer Science 2023-11-06 Emma Milner , Mahesh Sooriyabandara , Sabine Hauert