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There are two basic ways of weakening the definition of the well-known metric regularity property by fixing one of the points involved in the definition. The first resulting property is called metric subregularity and has attracted a lot of…

最优化与控制 · 数学 2020-01-22 R. Cibulka , M. Fabian , A. Y. Kruger

How should we quantify the inconsistency of a database that violates integrity constraints? Proper measures are important for various tasks, such as progress indication and action prioritization in cleaning systems, and reliability…

数据库 · 计算机科学 2021-04-02 Ester Livshits , Rina Kochirgan , Segev Tsur , Ihab F. Ilyas , Benny Kimelfeld , Sudeepa Roy

Prediction algorithms that quantify the expected benefit of a given treatment conditional on patient characteristics can critically inform medical decisions. Quantifying the performance of treatment benefit prediction algorithms is an…

统计方法学 · 统计学 2023-05-17 Yuan Xia , Paul Gustafson , Mohsen Sadatsafavi

Pairwise comparisons between alternatives are a well-known method for measuring preferences of a decision-maker. Since these often do not exhibit consistency, a number of inconsistency indices has been introduced in order to measure the…

人工智能 · 计算机科学 2019-06-20 László Csató

Statistical tasks such as density estimation and approximate Bayesian inference often involve densities with unknown normalising constants. Score-based methods, including score matching, are popular techniques as they are free of…

机器学习 · 统计学 2021-12-22 Li K. Wenliang , Heishiro Kanagawa

Much of the field of Machine Learning exhibits a prominent set of failure modes, including vulnerability to adversarial examples, poor out-of-distribution (OoD) detection, miscalibration, and willingness to memorize random labelings of…

机器学习 · 计算机科学 2023-07-19 Ian Fischer

Unbinned likelihood fits are frequent in Physics, and often involve complex functions with several components. We discuss the potential pitfalls of situations where the templates used in the fit are not fixed but depend on the event…

数据分析、统计与概率 · 物理学 2014-11-18 Giovanni Punzi

In this paper, uncertainty relations for MIMO ambiguity functions are given. Norm inequalities on the MIMO ambiguity functions in terms of signals of concern are studied. A signal dependent lower bound on the support of MIMO ambiguity…

信号处理 · 电气工程与系统科学 2021-04-27 Eren Berk Kama , Mustafa Kuzuoğlu

Attempts to establish microcanonical entropy as an adiabatic invariant date back to works of Gibbs and Hertz. More recently, a consistency relation based on adiabatic invariance has been used to argue for the validity of Gibbs (volume)…

统计力学 · 物理学 2016-01-04 Arash Tavassoli , Afshin Montakhab

Deviations from statistical isotropy can be modeled in various ways, for instance, anisotropic cosmological models (Bianchi models), compact topologies and presence of primordial magnetic field. Signature of anisotropy manifests itself in…

宇宙学与河外天体物理 · 物理学 2010-05-12 Nidhi Joshi , Sanjay Jhingan , Tarun Souradeep , Amir Hajian

Equivariant models leverage prior knowledge on symmetries to improve predictive performance, but misspecified architectural constraints can harm it instead. While work has explored learning or relaxing constraints, selecting among…

机器学习 · 计算机科学 2025-07-16 Putri A. van der Linden , Alexander Timans , Dharmesh Tailor , Erik J. Bekkers

A symmetry violation model is considered for a system that can spontaneously choose between identical states which differ from each other only in weak properties (R-L). Such mirror symmetry allows reproduction of observed qualitative…

高能物理 - 唯象学 · 物理学 2016-01-20 Igor T. Dyatlov

Missing data represents a fundamental challenge in machine learning applications, often reducing model performance and reliability. This problem is particularly acute in fields like bioinformatics and clinical machine learning, where…

机器学习 · 计算机科学 2025-09-04 Fatemeh Azad , Zoran Bosnić , Matjaž Kukar

Often, one would like to determine some observable A, but can only measure some (hopefully related) observable M. This can arise, for example, in quantum eavesdropping, or when the research lab budget isn't large enough for that 100%…

量子物理 · 物理学 2007-05-23 Michael J. W. Hall

We generalize the concept of mutually unbiased bases (MUB) to measurements which are not necessarily described by rank one projectors. As such, these measurements can be a useful tool to study the long standing problem of the existence of…

量子物理 · 物理学 2015-06-18 Amir Kalev , Gilad Gour

We show that established performance metrics in binary classification, such as the F-score, the Jaccard similarity coefficient or Matthews' correlation coefficient (MCC), are not robust to class imbalance in the sense that if the proportion…

机器学习 · 统计学 2024-04-12 Hajo Holzmann , Bernhard Klar

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems…

最优化与控制 · 数学 2019-02-21 Matúš Benko , Helmut Gfrerer , Jiří V. Outrata

It is often said that measuring a system's position must disturb the complementary property, momentum, by some minimum amount due to the Heisenberg uncertainty principle. Using a "weak-measurement", this disturbance can be reduced. One…

量子物理 · 物理学 2018-11-26 G. S. Thekkadath , F. Hufnagel , J. S. Lundeen

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

最优化与控制 · 数学 2007-05-23 Pavel Chebotarev , Elena Shamis

Recent studies showed that datasets used in fairness-aware machine learning for multiple protected attributes (referred to as multi-discrimination hereafter) are often imbalanced. The class-imbalance problem is more severe for the often…

机器学习 · 计算机科学 2022-06-22 Arjun Roy , Vasileios Iosifidis , Eirini Ntoutsi