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The dependence of the Lyapunov exponent on the closeness parameter, $\epsilon$, in tangent bifurcation systems is investigated. We study and illustrate two averaging procedures for defining Lyapunov exponents in such systems. First, we…

chao-dyn · Physics 2015-06-24 James Hanssen , Walter Wilcox

Student dropout is a persistent concern in Learning Analytics, yet comparative studies frequently evaluate predictive models under heterogeneous protocols, prioritizing discrimination over temporal interpretability and calibration. This…

Machine Learning · Computer Science 2026-05-26 Rafael da Silva , Jeff Eicher , Gregory Longo

We consider the optimal risk sharing problem with a continuum of agents, modeled via a non-atomic measure space. Individual preferences are not assumed to be convex. We show the multiplicity of agents induces the value function to be…

Theoretical Economics · Economics 2025-09-12 Vasily Melnikov

This paper considers the problem of defining distributions over graphical structures. We propose an extension of the hyper Markov properties of Dawid and Lauritzen [Ann. Statist. 21 (1993) 1272-1317], which we term structural Markov…

Statistics Theory · Mathematics 2020-04-28 Simon Byrne , A. Philip Dawid

Experimental time series obtained from single and poly-crystals subjected to a constant strain rate tests report an intriguing dynamical crossover from a low dimensional chaotic state at medium strain rates to an infinite dimensional power…

Materials Science · Physics 2009-11-10 G. Ananthakrishna , M. S. Bharathi

Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for…

Risk Management · Quantitative Finance 2023-02-27 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

We study the growth of bipartite networks in which the number of nodes in one of the partitions is kept fixed while the other partition is allowed to grow. We study random and preferential attachment as well as combination of both. We…

Disordered Systems and Neural Networks · Physics 2009-11-13 Fernando Peruani , Monojit Choudhury , Animesh Mukherjee , Niloy Ganguly

We propose a general framework for modelling network data that is designed to describe aspects of non-exchangeable networks. Conditional on latent (unobserved) variables, the edges of the network are generated by their finite growth history…

Statistics Theory · Mathematics 2020-07-29 Weichi Wu , Sofia Olhede , Patrick Wolfe

Convexification techniques have gained increasing interest over the past decades. In this work, we apply a recently developed convexification technique for fractional programs by He, Liu and Tawarmalani (2024) to the problem of determining…

Optimization and Control · Mathematics 2024-10-04 Timotej Hrga , Melanie Siebenhofer , Angelika Wiegele

We investigate chaos in mixed-phase-space Hamiltonian systems using time series of the finite- time Lyapunov exponents. The methodology we propose uses the number of Lyapunov exponents close to zero to define regimes of ordered…

Chaotic Dynamics · Physics 2015-06-16 R. M. da Silva , C. Manchein , M. W. Beims , E. G. Altmann

We introduce a new unsupervised anomaly detection ensemble called SPI which can harness privileged information - data available only for training examples but not for (future) test examples. Our ideas build on the Learning Using Privileged…

Machine Learning · Computer Science 2018-05-25 Shubhranshu Shekhar , Leman Akoglu

Different mechanisms for the creation of strange non-chaotic dynamics in the quasiperiodically forced logistic map are studied. These routes to strange nonchaos are characterised through the behavior of the largest nontrivial Lyapunov…

chao-dyn · Physics 2009-10-30 Awadhesh Prasad , Vishal Mehra , Ramakrishna Ramaswamy

An identifying code $C$ of a graph $G$ is a dominating set of $G$ such that any two distinct vertices of $G$ have distinct closed neighbourhoods within $C$. These codes have been widely studied for over two decades. We give an improvement…

Combinatorics · Mathematics 2022-11-14 Florent Foucaud , Tuomo Lehtilä

Causal-discovery algorithms return a directed graph, yet provide no principled means of distinguishing edge directions identified by the data from those assigned without an identifying assumption. Under the standard Markov and faithfulness…

Machine Learning · Statistics 2026-05-28 Eichi Uehara

Large Language Model (LLM)-based agent systems are increasingly deployed for complex real-world tasks but remain vulnerable to natural language-based attacks that exploit over-privileged tool use. This paper aims to understand and mitigate…

Cryptography and Security · Computer Science 2026-01-21 Zimo Ji , Daoyuan Wu , Wenyuan Jiang , Pingchuan Ma , Zongjie Li , Yudong Gao , Shuai Wang , Yingjiu Li

The distributed non-smooth resource allocation problem over multi-agent networks is studied in this paper, where each agent is subject to globally coupled network resource constraints and local feasibility constraints described in terms of…

Optimization and Control · Mathematics 2022-03-11 Xiaohong Nian , Fan Li , Dongxin Liu

A fundamental question underlying the literature on partial identification is: what can we learn about parameters that are relevant for policy but not necessarily point-identified by the exogenous variation we observe? This paper provides…

Econometrics · Economics 2023-04-07 Philip Marx

Isolation is a concept from the world of clique enumeration that is mostly used to model communities that do not have much contact to the outside world. Herein, a clique is considered isolated if it has few edges connecting it to the rest…

Data Structures and Algorithms · Computer Science 2021-03-05 Hendrik Molter , Rolf Niedermeier , Malte Renken

A large-scale service system with multiple customer classes and multiple server pools is considered, with the mean service time depending both on the customer class and server pool. The allowed activities (routing choices) form a tree (in…

Probability · Mathematics 2014-03-28 Alexander Stolyar

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

Machine Learning · Computer Science 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra