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In this paper, several results concerning attraction and asymptotic stability in the large of nonlinear ordinary differential equations are presented. The main result is very simple to apply yielding a sufficient condition under which the…

Optimization and Control · Mathematics 2010-04-09 Andres Garcia , Osvaldo Agamennoni

Given a decision process based on the approximate probability density function returned by a data assimilation algorithm, an interaction level between the decision making level and the data assimilation level is designed to incorporate the…

Computation · Statistics 2015-03-19 Gabriel Terejanu , Puneet Singla , Tarunraj Singh , Peter D. Scott

The work studies the problem of decentralized constrained POMDPs in a team-setting where multiple nonstrategic agents have asymmetric information. Using an extension of Sion's Minimax theorem for functions with positive infinity and results…

Optimization and Control · Mathematics 2025-04-29 Nouman Khan , Vijay Subramanian

In this paper we show that there is a link between approximate Bayesian methods and prior robustness. We show that what is typically recognized as an approximation to the likelihood, either due to the simulated data as in the Approximate…

Methodology · Statistics 2020-04-03 Chaitanya Joshi , Fabrizio Ruggeri

A group of experts, for instance climate scientists, is to choose among two policies $f$ and $g$. Consider the following decision rule. If all experts agree that the expected utility of $f$ is higher than the expected utility of $g$, the…

Theoretical Economics · Economics 2020-04-28 Lorenzo Bastianello , José Heleno Faro , Ana Santos

Expectiles are statistical parameters which also provide a class of sublinear risk measures in finance. They are solutions of continuous optimization problems. The corresponding first order condition provides two different fixed point…

Statistics Theory · Mathematics 2025-09-03 Thi Khanh Linh Ha , Andreas Heinrich Hamel , Daniel Kostner

Association rules express implication formed relations among attributes in databases of itemsets. The apriori algorithm is presented, the basis for most association rule mining algorithms. It works by pruning away rules that need not be…

Databases · Computer Science 2019-07-24 Niels Mündler

The theory of two binary relations has the strong amalgamation property when the first relation is assumed to be coarser than the second relation, and each relation satisfies a chosen set of properties from the following list: transitivity,…

Logic · Mathematics 2023-01-31 Paolo Lipparini

The ability to measure the satisfaction of (groups of) voters is a crucial prerequisite for formulating proportionality axioms in approval-based participatory budgeting elections. Two common - but very different - ways to measure the…

Computer Science and Game Theory · Computer Science 2023-10-19 Markus Brill , Stefan Forster , Martin Lackner , Jan Maly , Jannik Peters

We provide an axiomatic foundation for the representation of num\'{e}raire-invariant preferences of economic agents acting in a financial market. In a static environment, the simple axioms turn out to be equivalent to the following choice…

General Finance · Quantitative Finance 2010-11-09 Constantinos Kardaras

Certain consensus seeking multi-agent systems can be formulated as gradient descent flows of a disagreement function. We study how known pathologies of gradient descent flows in Euclidean spaces carry over to consensus seeking systems that…

Optimization and Control · Mathematics 2021-08-16 Johan Markdahl

The long-standing unitary-actor assumption in strategy research -- treating firms as monolithic entities with coherent preferences -- misses that organizations are coalitions of individuals with diverse and often conflicting goals. Although…

Theoretical Economics · Economics 2026-02-25 Felipe A. Csaszar , John C. Eklund

We consider the following variant of the classic collector's problem: The family of coupon probabilities is the mixing of two subfamilies one of which is the \textit{uniform} family, while the other belongs to the well known \textit{Zipf…

Probability · Mathematics 2019-04-23 Aristides V. Doumas , Vassilis G. Papanicolaou

Ensembling multiple predictions is a widely used technique for improving the accuracy of various machine learning tasks. One obvious drawback of ensembling is its higher execution cost during inference. In this paper, we first describe our…

Machine Learning · Computer Science 2019-03-11 Hiroshi Inoue

We construct an intriguing bijection between $021$-avoiding inversion sequences and $(2413,4213)$-avoiding permutations, which proves a sextuple equidistribution involving double Eulerian statistics. Two interesting applications of this…

Combinatorics · Mathematics 2016-12-20 Zhicong Lin , Dongsu Kim

Differential privacy (DP) is the de facto notion of privacy both in theory and in practice. However, despite its popularity, DP imposes strict requirements which guard against strong worst-case scenarios. For example, it guards against…

Data Structures and Algorithms · Computer Science 2025-12-01 Guy Blanc , William Pires , Toniann Pitassi

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

Artificial Intelligence · Computer Science 2020-03-27 Jasper De Bock

Within convex analysis, a rich theory with various applications has been evolving since the proximal average of convex functions was first introduced over a decade ago. When one considers the subdifferential of the proximal average, a…

Optimization and Control · Mathematics 2015-05-12 Sedi Bartz , Heinz H. Bauschke , Sarah M. Moffat , Xianfu Wang

In this paper we characterize the niveloidal preferences that satisfy the Weak Order, Monotonicity, Archimedean, and Weak C-Independence Axioms from the point of view of an intra-personal, leader-follower game. We also show that the…

Theoretical Economics · Economics 2020-12-15 Jianming Xia

Starting from some considerations we make about the relations between certain difference statistics and the classical permutation statistics we study permutations whose inversion number and excedance difference coincide. It turns out that…

Combinatorics · Mathematics 2007-05-23 Astrid Reifegerste
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