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This paper considers a nested stochastic distributed optimization problem. In it, approximate solutions to realizations of the inner-problem are leveraged to obtain a Distributed Stochastic Cubic Regularized Newton (DiSCRN) update to the…

Optimization and Control · Mathematics 2021-08-06 Tor Anderson , Sonia Martinez

This paper focuses on securely estimating the state of a nonlinear dynamical system from a set of corrupted measurements. In particular, we consider two broad classes of nonlinear systems, and propose a technique which enables us to perform…

Systems and Control · Computer Science 2016-03-23 Qie Hu , Dariush Fooladivanda , Young Hwan Chang , Claire J. Tomlin

This paper deals with uncertainty quantification and out-of-distribution detection in deep learning using Bayesian and ensemble methods. It proposes a practical solution to the lack of prediction diversity observed recently for standard…

Machine Learning · Computer Science 2025-02-03 Antoine de Mathelin , François Deheeger , Mathilde Mougeot , Nicolas Vayatis

We consider a distributed multi-task learning scheme that accounts for multiple linear model estimation tasks with heterogeneous and/or correlated data streams. We assume that nodes can be partitioned into groups corresponding to different…

Multiagent Systems · Computer Science 2024-10-07 Lingzhou Hong , Alfredo Garcia

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

We propose a distributed cubic regularization of the Newton method for solving (constrained) empirical risk minimization problems over a network of agents, modeled as undirected graph. The algorithm employs an inexact, preconditioned Newton…

Optimization and Control · Mathematics 2021-06-21 Amir Daneshmand , Gesualdo Scutari , Pavel Dvurechensky , Alexander Gasnikov

Neural networks predictions are unreliable when the input sample is out of the training distribution or corrupted by noise. Being able to detect such failures automatically is fundamental to integrate deep learning algorithms into robotics.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Antonio Loquercio , Mattia Segù , Davide Scaramuzza

In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected undirected network. We propose a unified decentralized…

Optimization and Control · Mathematics 2026-04-14 Hao Wu , Liping Wang

Most existing work uses dual decomposition and subgradient methods to solve Network Utility Maximization (NUM) problems in a distributed manner, which suffer from slow rate of convergence properties. This work develops an alternative…

Optimization and Control · Mathematics 2015-03-17 Ermin Wei , Asuman Ozdaglar , Ali Jadbabaie

This paper proposes a joint input and state dynamic estimation scheme for power networks in microgrids and active distribution systems with unknown inputs. The conventional dynamic state estimation of power networks in the transmission…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Bang L. H. Nguyen , Tuyen V. Vu , Joseph M. Guerrero , Mischael Steurer , Karl Schoder , Tuan Ngo

Part I of this paper considered optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network…

Multiagent Systems · Computer Science 2019-07-01 Roula Nassif , Stefan Vlaski , Ali H. Sayed

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

Information Theory · Computer Science 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

Motivated by decentralized sensing and policy evaluation problems, we consider a particular type of distributed stochastic optimization problem over a network, called the online stochastic distributed averaging problem. We design a…

Optimization and Control · Mathematics 2022-08-10 Sheng Zhang , Ashwin Pananjady , Justin Romberg

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

Machine Learning · Statistics 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

Quantum Physics · Physics 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo