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This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

Optimization and Control · Mathematics 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

Modeling long horizon marked event sequences is a fundamental challenge in many real-world applications, including healthcare, finance, and user behavior modeling. Existing neural temporal point process models are typically autoregressive,…

Machine Learning · Computer Science 2025-08-08 Xiao Shou

We propose a new data-centric synchronization framework for carrying out of machine learning (ML) tasks in a distributed environment. Our framework exploits the iterative nature of ML algorithms and relaxes the application agnostic bulk…

Databases · Computer Science 2015-08-06 Naman Goel , Divyakant Agrawal , Sanjay Chawla , Ahmed Elmagarmid

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

The computational requirements for training deep neural networks (DNNs) have grown to the point that it is now standard practice to parallelize training. Existing deep learning systems commonly use data or model parallelism, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-23 Zhihao Jia , Matei Zaharia , Alex Aiken

This work proposes a machine-learning framework for modeling the error incurred by approximate solutions to parameterized dynamical systems. In particular, we extend the machine-learning error models (MLEM) framework proposed in Ref. 15 to…

Numerical Analysis · Mathematics 2020-04-22 Eric J. Parish , Kevin T. Carlberg

Parallelism is a ubiquitous method for accelerating machine learning algorithms. However, theoretical analysis of parallel learning is usually done in an algorithm- and protocol-specific setting, giving little insight about how changes in…

Machine Learning · Computer Science 2020-06-09 Yucheng Lu , Jack Nash , Christopher De Sa

Asynchronous methods for solving systems of linear equations have been researched since Chazan and Miranker's pioneering 1969 paper on chaotic relaxation. The underlying idea of asynchronous methods is to avoid processor idle time by…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-16 Haim Avron , Alex Druinsky , Anshul Gupta

Optimal multiple sequence alignment by dynamic programming, like many highly dimensional scientific computing problems, has failed to benefit from the improvements in computing performance brought about by multi-processor systems, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Manal Helal , Hossam El-Gindy , Lenore Mullin , Bruno Gaeta

Modeling sequential patterns from data is at the core of various time series forecasting tasks. Deep learning models have greatly outperformed many traditional models, but these black-box models generally lack explainability in prediction…

Machine Learning · Computer Science 2023-05-23 Yingtao Luo , Chang Xu , Yang Liu , Weiqing Liu , Shun Zheng , Jiang Bian

We study asynchronous federated learning mechanisms with nodes having potentially different computational speeds. In such an environment, each node is allowed to work on models with potential delays and contribute to updates to the central…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Louis Leconte , Matthieu Jonckheere , Sergey Samsonov , Eric Moulines

In this paper we design and analyze algorithms for asynchronously solving linear programs using nonlinear signal processing structures. In particular, we discuss a general procedure for generating these structures such that a fixed-point of…

Optimization and Control · Mathematics 2015-03-03 Tarek A. Lahlou , Thomas A. Baran

This work addresses the problem of tracking maneuvering objects with complex motion patterns, a task in which conventional methods often struggle due to their reliance on predefined motion models. We integrate a data-driven liquid neural…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Minti Liu , Qinghua Guo , Cao Zeng , Yanguang Yu , Jun Li , Ming Jin

We consider federated learning of linearly-parameterized nonlinear systems. We establish theoretical guarantees on the effectiveness of federated nonlinear system identification compared to centralized approaches, demonstrating that the…

Machine Learning · Computer Science 2026-04-27 Omkar Tupe , Max Hartman , Lav R. Varshney , Saurav Prakash

Neural networks have become a widely adopted tool for modeling nonlinear dynamical systems from data. However, the choice of training strategy remains a key design decision, particularly for simulation tasks. This paper compares two…

Machine Learning · Statistics 2026-01-06 Paul Strasser , Andreas Pfeffer , Jakob Weber , Markus Gurtner , Andreas Körner

In distributed ML applications, shared parameters are usually replicated among computing nodes to minimize network overhead. Therefore, proper consistency model must be carefully chosen to ensure algorithm's correctness and provide high…

Machine Learning · Statistics 2014-01-03 Jinliang Wei , Wei Dai , Abhimanu Kumar , Xun Zheng , Qirong Ho , Eric P. Xing

We present a novel parallelisation scheme that simplifies the adaptation of learning algorithms to growing amounts of data as well as growing needs for accurate and confident predictions in critical applications. In contrast to other…

Machine Learning · Computer Science 2018-10-09 Michael Kamp , Mario Boley , Olana Missura , Thomas Gärtner

We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control method based on mixing previous states of the system (or the…

Dynamical Systems · Mathematics 2017-12-19 D. Dmitrishin , I. E. Iacob , I. Skrinnik , A. Stokolos

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

Randomly masking and predicting word tokens has been a successful approach in pre-training language models for a variety of downstream tasks. In this work, we observe that the same idea also applies naturally to sequential decision-making,…

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