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In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

We develop a synthesis of Turing's paradigm of computation and von Neumann's quantum logic to serve as a model for quantum computation with recursion, such that potentially non-terminating computation can take place, as in a quantum Turing…

Quantum Physics · Physics 2009-11-10 A. Edalat

We study the problem of evaluating the excess risk of large-scale empirical risk minimization under the square loss. Leveraging the idea of wild refitting and resampling, we assume only black-box access to the training algorithm and develop…

Machine Learning · Computer Science 2026-04-03 Haichen Hu , David Simchi-Levi

This paper investigates risk measures derived from the expected maximum deficit in a continuous-time framework and develops optimal reserve allocation strategies across multiple lines of business. We formalize the expected maximum deficit…

Risk Management · Quantitative Finance 2026-05-19 Claude Lefevre , Pierre Zuyderhoff

We introduce a new method to reconstruct the density matrix $\rho$ of a system of $n$-qubits and estimate its rank $d$ from data obtained by quantum state tomography measurements repeated $m$ times. The procedure consists in minimizing the…

Statistics Theory · Mathematics 2015-06-05 Pierre Alquier , Cristina Butucea , Mohamed Hebiri , Katia Meziani , Morimae Tomoyuki

When treating Markov decision processes (MDPs) with large state spaces, using explicit representations quickly becomes unfeasible. Lately, Wimmer et al. have proposed a so-called symblicit algorithm for the synthesis of optimal strategies…

Data Structures and Algorithms · Computer Science 2014-06-23 Aaron Bohy , Véronique Bruyère , Jean-François Raskin

This report presents an Expectation-Maximization (EM) algorithm for estimation of the maximum-likelihood parameter values of constrained multivariate autoregressive Gaussian state-space (MARSS) models. The MARSS model can be written:…

Methodology · Statistics 2013-02-19 Elizabeth E. Holmes

We present randomized algorithms for estimating the trace and deter- minant of Hermitian positive semi-definite matrices. The algorithms are based on subspace iteration, and access the matrix only through matrix vector products. We analyse…

Numerical Analysis · Mathematics 2017-02-17 Arvind K. Saibaba , Alen Alexanderian , Ilse C. F. Ipsen

We consider minimization of a smooth nonconvex function with inexact oracle access to gradient and Hessian (without assuming access to the function value) to achieve approximate second-order optimality. A novel feature of our method is that…

Optimization and Control · Mathematics 2024-03-27 Shuyao Li , Stephen J. Wright

We present the first scalable bound analysis that achieves amortized complexity analysis. In contrast to earlier work, our bound analysis is not based on general purpose reasoners such as abstract interpreters, software model checkers or…

Programming Languages · Computer Science 2014-06-04 Moritz Sinn , Florian Zuleger , Helmut Veith

Consider the problem of predicting the next symbol given a sample path of length n, whose joint distribution belongs to a distribution class that may have long-term memory. The goal is to compete with the conditional predictor that knows…

Statistics Theory · Mathematics 2024-04-25 Yanjun Han , Tianze Jiang , Yihong Wu

We present four novel tests of equal predictive accuracy and encompassing \`a la Pitarakis (2023, 2025) for factor-augmented regressions, where factors are estimated using cross-section averages (CAs) of grouped series. Our inferential…

Econometrics · Economics 2025-11-17 Alessandro Morico , Ovidijus Stauskas

We consider the task of evaluating policies of algorithmic resource allocation through randomized controlled trials (RCTs). Such policies are tasked with optimizing the utilization of limited intervention resources, with the goal of…

Artificial Intelligence · Computer Science 2023-02-07 Aditya Mate , Bryan Wilder , Aparna Taneja , Milind Tambe

We address the decision problem for a fragment of real analysis involving differentiable functions with continuous first derivatives. The proposed theory, besides the operators of Tarski's theory of reals, includes predicates for…

Logic in Computer Science · Computer Science 2025-06-16 Domenico Cantone , Gianluca Cincotti

Leveraging external or historical data to improve the efficiency of randomized clinical trials without introducing bias or inflating the Type I error rate remains challenging. Recent work on externally trained prognostic scores, such as…

Methodology · Statistics 2026-05-28 Junyi Zhou , Qing Liu , May Mo , Amy Xia

The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one of the most frequently discussed…

Numerical Analysis · Computer Science 2013-08-28 Rafi Witten , Emmanuel Candes

The Logical Execution Time (LET) programming model has recently received considerable attention, particularly because of its timing and dataflow determinism. In LET, task computation appears always to take the same amount of time (called…

Systems and Control · Electrical Eng. & Systems 2024-03-11 Sen Wang , Dong Li , Ashrarul H. Sifat , Shao-Yu Huang , Xuanliang Deng , Changhee Jung , Ryan Williams , Haibo Zeng

The automation of posterior inference in Bayesian data analysis has enabled experts and nonexperts alike to use more sophisticated models, engage in faster exploratory modeling and analysis, and ensure experimental reproducibility. However,…

Machine Learning · Statistics 2019-03-01 Trevor Campbell , Tamara Broderick

We present randomized algorithms for estimating the log-determinant of regularized symmetric positive semi-definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a…

Numerical Analysis · Mathematics 2026-02-20 Alice Cortinovis , Daniele Toni

Optimizing the expected values of probabilistic processes is a central problem in computer science and its applications, arising in fields ranging from artificial intelligence to operations research to statistical computing. Unfortunately,…

Programming Languages · Computer Science 2022-12-14 Alexander K. Lew , Mathieu Huot , Sam Staton , Vikash K. Mansinghka