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Conformal prediction has emerged as an effective strategy for uncertainty quantification by modifying a model to output sets of labels instead of a single label. These prediction sets come with the guarantee that they contain the true label…

Machine Learning · Computer Science 2025-05-28 Haosen Ge , Hamsa Bastani , Osbert Bastani

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

We present a detailed study of top-$k$ classification, the task of predicting the $k$ most probable classes for an input, extending beyond single-class prediction. We demonstrate that several prevalent surrogate loss functions in…

Machine Learning · Computer Science 2024-03-29 Anqi Mao , Mehryar Mohri , Yutao Zhong

Cardinality estimation is the task of approximating the number of distinct elements in a large dataset with possibly repeating elements. LogLog and HyperLogLog (c.f. Durand and Flajolet [ESA 2003], Flajolet et al. [Discrete Math Theor.…

Data Structures and Algorithms · Computer Science 2020-08-19 Aleksander Łukasiewicz , Przemysław Uznański

We introduce lower-bound certificates for classical planning tasks, which can be used to prove the unsolvability of a task or the optimality of a plan in a way that can be verified by an independent third party. We describe a general…

Artificial Intelligence · Computer Science 2025-05-06 Simon Dold , Malte Helmert , Jakob Nordström , Gabriele Röger , Tanja Schindler

Cardinal scores (numeric ratings) collected from people are well known to suffer from miscalibrations. A popular approach to address this issue is to assume simplistic models of miscalibration (such as linear biases) to de-bias the scores.…

Machine Learning · Statistics 2018-09-14 Jingyan Wang , Nihar B. Shah

The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled…

Optimization and Control · Mathematics 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Manfred Morari

Confidence measures for the generalization error are crucial when small training samples are used to construct classifiers. A common approach is to estimate the generalization error by resampling and then assume the resampled estimator…

Machine Learning · Computer Science 2012-06-18 Eric B. Laber , Susan A. Murphy

Uncertainty quantification for estimation through stochastic optimization solutions in an online setting has gained popularity recently. This paper introduces a novel inference method focused on constructing confidence intervals with…

Machine Learning · Statistics 2026-03-24 Wanrong Zhu , Zhipeng Lou , Ziyang Wei , Wei Biao Wu

In this work, we study a new approach to optimizing the margin distribution realized by binary classifiers. The classical approach to this problem is simply maximization of the expected margin, while more recent proposals consider…

Machine Learning · Statistics 2018-10-12 Matthew J. Holland

Practical model building processes are often time-consuming because many different models must be trained and validated. In this paper, we introduce a novel algorithm that can be used for computing the lower and the upper bounds of model…

Machine Learning · Statistics 2014-02-11 Yoshiki Suzuki , Kohei Ogawa , Yuki Shinmura , Ichiro Takeuchi

As techniques for fault-tolerant quantum computation keep improving, it is natural to ask: what is the fundamental lower bound on redundancy? In this paper, we obtain a lower bound on the redundancy required for $\epsilon$-accurate…

Quantum Physics · Physics 2023-08-23 Uthirakalyani G , Anuj K. Nayak , Avhishek Chatterjee

Requirements driven search-based testing (also known as falsification) has proven to be a practical and effective method for discovering erroneous behaviors in Cyber-Physical Systems. Despite the constant improvements on the performance and…

Outcome probability estimation via classical methods is an important task for validating quantum computing devices. Outcome probabilities of any quantum circuit can be estimated using Monte Carlo sampling, where the amount of negativity…

Quantum Physics · Physics 2022-10-14 Nikolaos Koukoulekidis , Hyukjoon Kwon , Hyejung H. Jee , David Jennings , M. S. Kim

When utilising PAC-Bayes theory for risk certification, it is usually necessary to estimate and bound the Gibbs risk of the PAC-Bayes posterior. Many works in the literature employ a method for this which requires a large number of passes…

Machine Learning · Computer Science 2022-10-21 Felix Biggs

There is currently a significant need for robust and efficient methods for characterizing quantum devices. While there has been significant progress in this direction, there remains a crucial need to precisely determine the strength and…

Quantum Physics · Physics 2019-09-04 Arnaud Carignan-Dugas , Joel J. Wallman , Joseph Emerson

Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of cardinality constraints. This paper investigates the exact…

Optimization and Control · Mathematics 2026-05-19 Lili Pan , Huilin Xie , Xianchao Xiu , Jiyuan Tao

Maximum Satisfiability (MaxSAT) is an optimization variant of the Boolean Satisfiability (SAT) problem. In general, MaxSAT algorithms perform a succession of SAT solver calls to reach an optimum solution making extensive use of cardinality…

Logic in Computer Science · Computer Science 2014-08-21 Ruben Martins , Saurabh Joshi , Vasco Manquinho , Ines Lynce

We consider the problem of configuring general-purpose solvers to run efficiently on problem instances drawn from an unknown distribution. The goal of the configurator is to find a configuration that runs fast on average on most instances,…

Machine Learning · Computer Science 2018-07-03 Gellért Weisz , András György , Csaba Szepesvári

In software development, the prevalence of unsafe languages such as C and C++ introduces potential vulnerabilities, especially within the heap, a pivotal component for dynamic memory allocation. Despite its significance, heap management…

Cryptography and Security · Computer Science 2024-09-24 Zheng Yu , Ganxiang Yang , Xinyu Xing