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A relatively new topic in computability theory is the study of notions of computation that are robust against mistakes on some kind of small set. However, despite the recent popularity of this topic relatively foundational questions about…

Logic · Mathematics 2025-08-12 Peter M. Gerdes

Doubly robust (DR) estimators guard against model misspecification but remain sensitive to weak covariate overlap. We show that trimming propensity scores reduces variance but eliminates double robustness. We introduce DR estimators that…

Econometrics · Economics 2026-04-17 Yukun Ma , Pedro H. C. Sant'Anna , Yuya Sasaki , Takuya Ura

We consider two non-degenerate potentials for the quiver arising from the once-punctured torus, which are a natural choice to study and compare: the first is the Labardini-potential, yielding a finite-dimensional Jacobian algebra, whereas…

Representation Theory · Mathematics 2014-06-17 Charlotte Ricke

Given a doubling measure $\mu$ on $R^d$, it is a classical result of harmonic analysis that Calderon-Zygmund operators which are bounded in $L^2(\mu)$ are also of weak type (1,1). Recently it has been shown that the same result holds if one…

Classical Analysis and ODEs · Mathematics 2007-05-23 Xavier Tolsa

We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

Optimization and Control · Mathematics 2021-04-19 Lassi Paunonen , Duy Phan

The weak boundedness property associated with a standard alpha-fractional Calderon-Zygmund operator and a weight pair is good-lambda controlled by the testing conditions and the Muckenhoupt and energy side conditions. As a consequence,…

Classical Analysis and ODEs · Mathematics 2016-09-27 Eric T. Sawyer , Chun-Yen Shen , Ignacio Uriarte-Tuero

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

Optimization and Control · Mathematics 2024-04-30 Marc Goerigk , Mohammad Khosravi

We present a call-by-need $\lambda$-calculus that enables strong reduction (that is, reduction inside the body of abstractions) and guarantees that arguments are only evaluated if needed and at most once. This calculus uses explicit…

Logic in Computer Science · Computer Science 2023-06-22 Thibaut Balabonski , Antoine Lanco , Guillaume Melquiond

The concept of convex compactness, weaker than the classical notion of compactness, is introduced and discussed. It is shown that a large class of convex subsets of topological vector spaces shares this property and that is can be used in…

Functional Analysis · Mathematics 2010-06-02 Gordan Zitkovic

I give a proof of the confluence of combinatory strong reduction that does not use the one of lambda-calculus. I also give simple and direct proofs of a standardization theorem for this reduction and the strong normalization of simply typed…

Logic · Mathematics 2009-05-19 René David

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

Machine Learning · Computer Science 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

Recently, robust reinforcement learning (RL) methods against input observation have garnered significant attention and undergone rapid evolution due to RL's potential vulnerability. Although these advanced methods have achieved reasonable…

Machine Learning · Computer Science 2024-09-04 Kosuke Nakanishi , Akihiro Kubo , Yuji Yasui , Shin Ishii

We discuss, and give examples of, methods for randomly implementing some minimax robust designs from the literature. These have the advantage, over their deterministic counterparts, of having bounded maximum loss in large and very rich…

Statistics Theory · Mathematics 2024-06-05 Douglas Wiens

A policy is said to be robust if it maximizes the reward while considering a bad, or even adversarial, model. In this work we formalize two new criteria of robustness to action uncertainty. Specifically, we consider two scenarios in which…

Machine Learning · Computer Science 2019-05-08 Chen Tessler , Yonathan Efroni , Shie Mannor

We establish radiative stability of generalized Proca effective field theories. While standard powercounting arguments would conclude otherwise, we find non-trivial cancellations of leading order corrections by explicit computation of…

High Energy Physics - Theory · Physics 2021-02-03 Lavinia Heisenberg , Jann Zosso

Weak optimal transport has been recently introduced by Gozlan et al. The original motivation stems from the theory of geometric inequalities; further applications concern numerics of martingale optimal transport and stability in…

Probability · Mathematics 2019-02-18 Julio Backhoff-Veraguas , Mathias Beiglböck , Gudmund Pammer

The lambda calculus since more than half a century is a model and foundation of functional programming languages. However, lambda expressions can be evaluated with different reduction strategies and thus, there is no fixed cost model nor…

Programming Languages · Computer Science 2024-05-22 Tomasz Drab

Duality is a foundational tool in robust and distributionally robust optimization (RO and DRO), underpinning both analytical insights and tractable reformulations. The prevailing approaches in the literature primarily rely on saddle-point…

Optimization and Control · Mathematics 2026-04-02 Louis L. Chen , Jake Roth , Johannes O. Royset

Robust estimators of location and dispersion are often used in the elliptical model to obtain an uncontaminated and highly representative subsample by trimming the data outside an ellipsoid based in the associated Mahalanobis distance. Here…

Statistics Theory · Mathematics 2016-08-14 Juan A. Cuesta-Albertos , Carlos Matrán , Agustín Mayo-Iscar

We provide a framework for incorporating robustness -- to perturbations in the transition dynamics which we refer to as model misspecification -- into continuous control Reinforcement Learning (RL) algorithms. We specifically focus on…

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