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Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

Data Structures and Algorithms · Computer Science 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

This paper presents a class of new algorithms for distributed statistical estimation that exploit divide-and-conquer approach. We show that one of the key benefits of the divide-and-conquer strategy is robustness, an important…

Statistics Theory · Mathematics 2018-08-29 Stanislav Minsker , Nate Strawn

Optimization seeks extremal points in a function. When there are superextensively many optima, optimization algorithms are liable to get stuck. Under these conditions, generic algorithms tend to find marginal optima, which have many nearly…

Disordered Systems and Neural Networks · Physics 2024-07-25 Jaron Kent-Dobias

The emerging large-scale and data-hungry algorithms require the computations to be delegated from a central server to several worker nodes. One major challenge in the distributed computations is to tackle delays and failures caused by the…

Information Theory · Computer Science 2021-03-03 Alejandro Cohen , Guillaume Thiran , Homa Esfahanizadeh , Muriel Médard

Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer…

Statistical Mechanics · Physics 2007-05-23 O. C. Martin , R. Monasson , R. Zecchina

Analyzing a distributed computation is a hard problem in general due to the combinatorial explosion in the size of the state-space with the number of processes in the system. By abstracting the computation, unnecessary explorations can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-05 Himanshu Chauhan , Vijay K. Garg , Aravind Natarajan , Neeraj Mittal

We study scheduling of computation tasks across n workers in a large scale distributed learning problem with the help of a master. Computation and communication delays are assumed to be random, and redundant computations are assigned to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Mohammad Mohammadi Amiri , Deniz Gunduz

While large training datasets generally offer improvement in model performance, the training process becomes computationally expensive and time consuming. Distributed learning is a common strategy to reduce the overall training time by…

Machine Learning · Statistics 2021-10-22 Nicole Mücke , Enrico Reiss , Jonas Rungenhagen , Markus Klein

The field of computational statistics refers to statistical methods or tools that are computationally intensive. Due to the recent advances in computing power some of these methods have become prominent and central to modern data analysis.…

Methodology · Statistics 2020-04-27 Suneel Babu Chatla , Chun-houh Chen , Galit Shmueli

In this paper, we combine the operator splitting methodology for abstract evolution equations with that of stochastic methods for large-scale optimization problems. The combination results in a randomized splitting scheme, which in a given…

Numerical Analysis · Mathematics 2022-10-12 Monika Eisenmann , Tony Stillfjord

Modern technologies are generating ever-increasing amounts of data. Making use of these data requires methods that are both statistically sound and computationally efficient. Typically, the statistical and computational aspects are treated…

Methodology · Statistics 2022-09-15 Mahsa Taheri , Néhémy Lim , Johannes Lederer

Data shuffling between distributed cluster of nodes is one of the critical steps in implementing large-scale learning algorithms. Randomly shuffling the data-set among a cluster of workers allows different nodes to obtain fresh data…

Information Theory · Computer Science 2018-01-08 Mohamed A. Attia , Ravi Tandon

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…

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

In network function computation is as a means to reduce the required communication flow in terms of number of bits transmitted per source symbol. However, the rate region for the function computation problem in general topologies is an open…

Information Theory · Computer Science 2020-01-23 Derya Malak , Alejandro Cohen , Muriel Medard

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

The presence of embedded electronics and communication capabilities as well as sensing and control in smart devices has given rise to the novel concept of cyber-physical networks, in which agents aim at cooperatively solving complex tasks…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Giuseppe Notarstefano , Ivano Notarnicola , Andrea Camisa

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

We introduce a framework for proving lower bounds on computational problems over distributions against algorithms that can be implemented using access to a statistical query oracle. For such algorithms, access to the input distribution is…

Computational Complexity · Computer Science 2016-08-16 Vitaly Feldman , Elena Grigorescu , Lev Reyzin , Santosh Vempala , Ying Xiao