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Semi-infinite $d$-dimensional systems with an $m$-axial bulk Lifshitz point are considered whose ($d-1$)-dimensional surface hyper-plane is oriented perpendicular to one of the $m$ modulation axes. An $n$-component $\phi^4$ field theory…

统计力学 · 物理学 2007-05-23 H. W. Diehl , M. A. Shpot , P. V. Prudnikov

Learning linear predictors with the logistic loss---both in stochastic and online settings---is a fundamental task in machine learning and statistics, with direct connections to classification and boosting. Existing "fast rates" for this…

机器学习 · 计算机科学 2018-12-17 Dylan J. Foster , Satyen Kale , Haipeng Luo , Mehryar Mohri , Karthik Sridharan

In this work, we study the effect of $\mathcal{PT}$-symmetric complex potentials on the transport properties of one non-Hermitian system, which is formed by the coupling between a triple-quantum-dot molecule and two semi-infinite leads. As…

量子物理 · 物理学 2017-07-05 Lian-Lian Zhang , Wei-Jiang Gong

Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and optimal transport theory. Recent research typically…

统计力学 · 物理学 2026-02-23 Jann van der Meer , Andreas Dechant

Conventional inverse optimization inputs a solution and finds the parameters of an optimization model that render a given solution optimal. The literature mostly focuses on inferring the objective function in linear problems when accepted…

最优化与控制 · 数学 2024-10-10 Houra Mahmoudzadeh , Kimia Ghobadi

We consider a stochastic control problem where the set of controls is not necessarily convex and the system is governed by a nonlinear backward stochastic differential equation. We establish necessary as well as sufficient conditions of…

概率论 · 数学 2008-12-20 Seid Bahlali

Non-interference, in transitive or intransitive form, is defined here over unbounded (Place/Transition) Petri nets. The definitions are adaptations of similar, well-accepted definitions introduced earlier in the framework of labelled…

密码学与安全 · 计算机科学 2011-03-01 Eike Best , Philippe Darondeau , Roberto Gorrieri

Methods to correct class imbalance, i.e. imbalance between the frequency of outcome events and non-events, are receiving increasing interest for developing prediction models. We examined the effect of imbalance correction on the performance…

统计方法学 · 统计学 2022-02-21 Ruben van den Goorbergh , Maarten van Smeden , Dirk Timmerman , Ben Van Calster

In this paper, an alternative Discrete skew Logistic distribution is proposed, which is derived by using the general approach of discretizing a continuous distribution while retaining its survival function. The properties of the…

统计方法学 · 统计学 2016-04-07 Deepesh Bhati , Subrata Chakraborty , Snober Gowhar Lateef

Inverse reinforcement learning (IRL) denotes a powerful family of algorithms for recovering a reward function justifying the behavior demonstrated by an expert agent. A well-known limitation of IRL is the ambiguity in the choice of the…

机器学习 · 计算机科学 2023-04-26 Alberto Maria Metelli , Filippo Lazzati , Marcello Restelli

Bulk topology and criticality can both lead to nontrivial boundary effects. Topological orders are often characterized by their robust edge states, while bulk critical points can have different boundary scalings governed by boundary…

强关联电子 · 物理学 2024-05-30 Nayan Myerson-Jain , Xiao-Chuan Wu , Cenke Xu

Optimal-Transport Distributionally Robust Optimization (OT-DRO) robustifies data-driven decision-making under uncertainty by capturing the sampling-induced statistical error via optimal transport ambiguity sets. The standard OT-DRO pipeline…

最优化与控制 · 数学 2025-09-17 Jonas Ohnemus , Marta Fochesato , Riccardo Zuliani , John Lygeros

There exists in nature many examples of systems presenting self-limiting behaviour: population dynamics, structure engineering, Townsend's electron breakdown, nuclear decay in radioactive equilibrium, histeresis process, meteorological…

生物物理 · 物理学 2007-05-23 A. G. Munoz S. , D. Sierra Porta , T. Soldovieri

The second-order phase transitions in the Ising model and liquid-gas systems share a universality class and critical exponents, despite the absence of $Z_2$ symmetry in the liquid-gas Hamiltonian. This discrepancy highlights a central…

统计力学 · 物理学 2025-12-10 Xinyang Li , Yuliang Jin

Cumulative prospect theory (CPT) is known to model human decisions well, with substantial empirical evidence supporting this claim. CPT works by distorting probabilities and is more general than the classic expected utility and coherent…

机器学习 · 计算机科学 2016-03-01 Prashanth L. A. , Cheng Jie , Michael Fu , Steve Marcus , Csaba Szepesvári

Data-driven modeling can suffer from a constant demand for data, leading to reduced accuracy and impractical for engineering applications due to the high cost and scarcity of information. To address this challenge, we propose a progressive…

机器学习 · 计算机科学 2023-10-09 Teeratorn Kadeethum , Daniel O'Malley , Youngsoo Choi , Hari S. Viswanathan , Hongkyu Yoon

Combining empirical risk minimization with capacity control is a classical strategy in machine learning when trying to control the generalization gap and avoid overfitting, as the model class capacity gets larger. Yet, in modern deep…

机器学习 · 计算机科学 2024-03-18 Marc Lafon , Alexandre Thomas

In distributed optimization, the communication of model updates can be a performance bottleneck. Consequently, gradient compression has been proposed as a means of increasing optimization throughput. In general, due to information loss,…

最优化与控制 · 数学 2025-07-17 Thomas Flynn , Patrick Johnstone , Shinjae Yoo

Boosting combines weak learners into a predictor with low empirical risk. Its dual constructs a high entropy distribution upon which weak learners and training labels are uncorrelated. This manuscript studies this primal-dual relationship…

机器学习 · 计算机科学 2012-04-04 Matus Telgarsky

Standard finite element discretizations of the Richards equation may violate the discrete minimum principle, producing unphysical negative saturations. While existing bound-preserving methods typically rely on computationally expensive…

数值分析 · 数学 2026-05-12 Abderrahmane Benfanich , Yves Bourgault , Abdelaziz Beljadid