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In this paper we study a robust utility maximization problem in continuous time under model uncertainty. The model uncertainty is governed by a continuous semimartingale with uncertain local characteristics. Here, the differential…

数理金融 · 定量金融 2023-08-04 David Criens , Lars Niemann

We consider the problem of flexible modeling of higher order Markov chains when an upper bound on the order of the chain is known but the true order and nature of the serial dependence are unknown. We propose Bayesian nonparametric…

统计方法学 · 统计学 2015-10-21 Abhra Sarkar , David B. Dunson

Model Predictive Control (MPC) is a powerful framework for constrained control, but its performance and safety can be severely degraded when the prediction model is learned online and thus remains uncertain. In this work, we develop a…

最优化与控制 · 数学 2025-12-01 Yingke Li , Yifan Lin , Enlu Zhou , Fumin Zhang

In recent years, the application of artificial intelligence (AI) in wireless communications has demonstrated inherent robustness against wireless channel distortions. Most existing works empirically leverage this robustness to yield…

信息论 · 计算机科学 2025-07-09 Yangshuo He , Guanding Yu , Huaiyu Dai

In many product development problems, the performance of the product is governed by two types of parameters called design parameter and environmental parameter. While the former is fully controllable, the latter varies depending on the…

机器学习 · 统计学 2020-06-23 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

Scheduling problems in manufacturing, logistics and project management have frequently been modeled using the framework of Resource Constrained Project Scheduling Problems with minimum and maximum time lags (RCPSP/max). Due to the…

人工智能 · 计算机科学 2014-01-21 Na Fu , Hoong Chuin Lau , Pradeep R. Varakantham , Fei Xiao

The widespread adoption of deep learning models places demands on their robustness. In this paper, we consider the robustness of deep neural networks on videos, which comprise both the spatial features of individual frames extracted by a…

计算机视觉与模式识别 · 计算机科学 2020-04-07 Min Wu , Marta Kwiatkowska

Decision making under uncertainty is challenging since the data-generating process (DGP) is often unknown. Bayesian inference proceeds by estimating the DGP through posterior beliefs about the model's parameters. However, minimising the…

机器学习 · 统计学 2024-09-06 Charita Dellaporta , Patrick O'Hara , Theodoros Damoulas

There is a large body of evidence that decision makers frequently depart from Bayesian updating. This paper introduces a model, robust maximum likelihood (RML) updating, where deviations from Bayesian updating are due to multiple…

理论经济学 · 经济学 2025-12-17 Elchin Suleymanov

We investigate the performance of a deterministic GREEDY algorithm for the problem of maximizing functions under a partition matroid constraint. We consider non-monotone submodular functions and monotone subadditive functions. Even though…

离散数学 · 计算机科学 2019-02-22 Tobias Friedrich , Andreas Göbel , Frank Neumann , Francesco Quinzan , Ralf Rothenberger

Convolutional neural network (CNN) has achieved unprecedented success in image super-resolution tasks in recent years. However, the network's performance depends on the distribution of the training sets and degrades on out-of-distribution…

计算机视觉与模式识别 · 计算机科学 2021-05-20 Aupendu Kar , Prabir Kumar Biswas

Safe learning of control policies remains challenging, both in optimal control and reinforcement learning. In this article, we consider safe learning of parametrized predictive controllers that operate with incomplete information about the…

系统与控制 · 电气工程与系统科学 2024-09-17 Sebastian Hirt , Maik Pfefferkorn , Rolf Findeisen

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

最优化与控制 · 数学 2016-11-09 Masaki Ogura , Victor M. Preciado

This article describes a robust algorithm to estimate a conditional probability density f(t|x) as a non-parametric smooth regression function. It is based on a neural network and the Bayesian interpretation of the network output as a…

数据分析、统计与概率 · 物理学 2007-05-23 Michael Feindt

This paper addresses the transmission network expansion planning problem under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby the worst-case operating cost is accounted for…

计算工程、金融与科学 · 计算机科学 2019-04-04 Cristina Roldán , Roberto Mínguez , Raquel García-Bertrand , José Manuel Arroyo

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

物理与社会 · 物理学 2018-05-15 Filippo Radicchi , Claudio Castellano

Trajectory optimization and model predictive control are essential techniques underpinning advanced robotic applications, ranging from autonomous driving to full-body humanoid control. State-of-the-art algorithms have focused on data-driven…

系统与控制 · 电气工程与系统科学 2021-11-15 Hany Abdulsamad , Tim Dorau , Boris Belousov , Jia-Jie Zhu , Jan Peters

This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation…

系统与控制 · 电气工程与系统科学 2025-07-17 Youssef Ait Si , Antoine Girard , Adnane Saoud

This paper presents four theoretical contributions that improve the usability of risk certificates for neural networks based on PAC-Bayes bounds. First, two bounds on the KL divergence between Bernoulli distributions enable the derivation…

机器学习 · 计算机科学 2025-11-12 Diego García-Pérez , Emilio Parrado-Hernández , John Shawe-Taylor

Many networks including social networks, computer networks, and biological networks are found to divide naturally into communities of densely connected individuals. Finding community structure is one of fundamental problems in network…

社会与信息网络 · 计算机科学 2011-08-22 Thang N. Dinh , My T. Thai
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