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Counterfactual explanations (CEs) are a powerful means for understanding how decisions made by algorithms can be changed. Researchers have proposed a number of desiderata that CEs should meet to be practically useful, such as requiring…

机器学习 · 计算机科学 2022-09-26 Marco Virgolin , Saverio Fracaros

This paper presents a novel formalization of optimality theory. Unlike previous treatments of optimality in computational linguistics, starting with Ellison (1994), the new approach does not require any explicit marking and counting of…

cmp-lg · 计算机科学 2007-05-23 Lauri Karttunen

This paper studies continuous-time optimal contracting in a hierarchy problem which generalises the model of Sung (2015). The hierarchy is modeled by a series of interlinked principal-agent problems, leading to a sequence of Stackelberg…

最优化与控制 · 数学 2020-07-22 Emma Hubert

Under a fourth order moment condition on the branching and a second order moment condition on the immigration mechanisms, we show that an appropriately scaled projection of a supercritical and irreducible continuous state and continuous…

概率论 · 数学 2021-11-29 Matyas Barczy , Sandra Palau , Gyula Pap

In this paper, we study the Entropic Martingale Optimal Transport (EMOT) problem on \mathbb{R}. The investigation of the EMOT problem arises in the calibration problem of the Stochastic Volatility Models, where martingale constraints…

概率论 · 数学 2026-02-16 Fan Chen , Giovanni Conforti , Zhenjie Ren , Xiaozhen Wang

Given a weakly dependent stationary process, we describe the transition between a Berry-Esseen bound and a second order Edgeworth expansion in terms of the Berry-Esseen characteristic. This characteristic is sharp: We show that Edgeworth…

概率论 · 数学 2022-12-02 Moritz Jirak , Wei Biao Wu , Ou Zhao

We study the problem of maximizing a spectral risk measure of a given output function which depends on several underlying variables, whose individual distributions are known but whose joint distribution is not. We establish and exploit an…

最优化与控制 · 数学 2022-11-16 Hamza Ennaji , Quentin Mérigot , Luca Nenna , Brendan Pass

In this paper we show that combination of the minimum description length principle and a exchange-ability condition leads directly to the use of Jeffreys prior. This approach works in most cases even when Jeffreys prior cannot be…

信息论 · 计算机科学 2013-05-21 Peter Harremoës

The desired shifts of the boundaries of spectral allowed zones of periodical systems are demonstrated. In particular, the phenomenon of merging neighbor allowed zones is exhibited and its simple explanation is given. It is also shown how to…

量子物理 · 物理学 2007-05-23 B. N. Zakhariev , V. M. Chabanov

In this paper we consider an impulsive extension of an optimal control problem with unbounded controls, subject to endpoint and state constraints. We show that the existence of an extended-sense minimizer that is a normal extremal for a…

最优化与控制 · 数学 2020-11-19 Giovanni Fusco , Monica Motta

In scheduling and timetabling applications, the mutual-exclusion constraint stipulates that certain pairs of tasks that cannot be executed at the same time. This corresponds to the vertex colouring problem in graph theory, for which there…

最优化与控制 · 数学 2019-04-09 Jakub Marecek , Andrew J. Parkes

We exhibit rationally ergodic, weakly mixing measure preserving transformations which are not subsequence rationally weakly mixing and give a condition for smoothness of renewal sequences.

动力系统 · 数学 2016-08-03 J. Aaronson

We establish Extended Thermodynamics (ET) of rarefied polyatomic gases with six independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting the near-equilibrium approximation. The…

数学物理 · 物理学 2015-04-23 Tommaso Ruggeri

We investigate the maximum size of CP violating effects in $D$-mixing within the Standard Model (SM), using Heavy Quark Expansion (HQE) as theoretical working tool. For this purpose we determine the leading HQE contributions and also…

高能物理 - 唯象学 · 物理学 2015-05-18 M. Bobrowski , A. Lenz , J. Riedl , J. Rohrwild

Let $G = (V,E)$ be an undirected graph with maximum degree $\Delta$ and vertex conductance $\Psi^*(G)$. We show that there exists a symmetric, stochastic matrix $P$, with off-diagonal entries supported on $E$, whose spectral gap…

概率论 · 数学 2022-03-24 Vishesh Jain , Huy Tuan Pham , Thuy-Duong Vuong

The convergence rates results in $\ell^1$-regularization when the sparsity assumption is narrowly missed, presented by Burger et al. (2013 Inverse Problems 29 025013), are based on a crucial condition which requires that all basis elements…

数值分析 · 数学 2015-08-05 Stephan W. Anzengruber , Bernd Hofmann , Ronny Ramlau

Anomalies in (semi)leptonic $B$-meson decays present interesting patterns that might be revealing the shape of the new physics to come. In order to understand the experimental data, we explore symmetry arguments that lead to the hypothesis…

高能物理 - 唯象学 · 物理学 2015-05-21 Rodrigo Alonso , Benjamín Grinstein , Jorge Martin Camalich

An optimal ergodic control problem (EC problem, for short) is investigated for a linear stochastic differential equation with quadratic cost functional. Constant nonhomogeneous terms, not all zero, appear in the state equation, which lead…

最优化与控制 · 数学 2020-04-24 Hongwei Mei , Qingmeng Wei , Jiongmin Yong

Given samples from two joint distributions, we consider the problem of Optimal Transportation (OT) between them when conditioned on a common variable. We focus on the general setting where the conditioned variable may be continuous, and the…

机器学习 · 计算机科学 2024-06-12 Piyushi Manupriya , Rachit Keerti Das , Sayantan Biswas , Saketha Nath Jagarlapudi

In the first part of this paper, we show that the small-ball condition, recently introduced by Mendelson (2015), may behave poorly for important classes of localized functions such as wavelets, piecewise polynomials or trigonometric…

统计理论 · 数学 2016-10-19 Adrien Saumard
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