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We propose a new Kalikow decomposition for continuous time multivariate counting processes, on potentially infinite networks. We prove the existence of such a decomposition in various cases. This decomposition allows us to derive simulation…

Probability · Mathematics 2022-05-03 Tien Cuong Phi , Eva Löcherbach , Patricia Reynaud-Bouret

In this paper, we build a model for biological neural nets where the activity of the network is described by Hawkes processes having a variable length memory. The particularity of this paper is to deal with an infinite number of components.…

Probability · Mathematics 2015-09-18 Pierre Hodara , Eva Löcherbach

Although the spike-trains in neural networks are mainly constrained by the neural dynamics itself, global temporal constraints (refractoriness, time precision, propagation delays, ..) are also to be taken into account. These constraints are…

Adaptation and Self-Organizing Systems · Physics 2009-03-20 Bruno Cessac , Olivier Rochel , Thierry Viéville

The existing Neural ODE formulation relies on an explicit knowledge of the termination time. We extend Neural ODEs to implicitly defined termination criteria modeled by neural event functions, which can be chained together and…

Machine Learning · Computer Science 2021-10-28 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

We consider a particle system on $\mathbb{Z}^d$ with real state space and interactions of infinite range. Assuming that the rate of change is continuous we obtain a Kalikow-type decomposition of the infinite range change rates as a mixture…

Probability · Mathematics 2013-07-24 A. Galves , N. L. Garcia , E. Löcherbach , E. Orlandi

We formulate and study a fundamental search and detection problem, Schedule Optimization, motivated by a variety of real-world applications, ranging from monitoring content changes on the web, social networks, and user activities to…

Data Structures and Algorithms · Computer Science 2015-09-11 Ahmad Mahmoody , Evgenios M. Kornaropoulos , Eli Upfal

The paper presents an efficient real-time scheduling algorithm for intelligent real-time edge services, defined as those that perform machine intelligence tasks, such as voice recognition, LIDAR processing, or machine vision, on behalf of…

Machine Learning · Computer Science 2020-11-03 Shuochao Yao , Yifan Hao , Yiran Zhao , Huajie Shao , Dongxin Liu , Shengzhong Liu , Tianshi Wang , Jinyang Li , Tarek Abdelzaher

Spiking neural networks (SNNs), central to computational neuroscience and neuromorphic machine learning (ML), require efficient simulation and gradient-based training. While AI accelerators offer promising speedups, gradient-based SNNs…

Neural and Evolutionary Computing · Computer Science 2025-12-08 Lennart P. L. Landsmeer , Amirreza Movahedin , Said Hamdioui , Christos Strydis

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

Systems and Control · Computer Science 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

Optimization and Control · Mathematics 2014-05-07 Farhad Farokhi , Karl H. Johansson

In this work, we design and analyze novel distributed scheduling algorithms for multi-user MIMO systems. In particular, we consider algorithms which do not require sending channel state information to a central processing unit, nor do they…

Information Theory · Computer Science 2015-03-20 Joseph Kampeas , Asaf Cohen , Omer Gurewitz

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

We extend stochastic network optimization theory to treat networks with arbitrary sample paths for arrivals, channels, and mobility. The network can experience unexpected link or node failures, traffic bursts, and topology changes, and…

Optimization and Control · Mathematics 2010-01-07 Michael J. Neely

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Efficient planning and sequence selection are central to intelligence, yet current approaches remain largely incompatible with biological computation. Classical graph algorithms like Dijkstra's or A* require global state and biologically…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Simen Storesund , Kristian Valset Aars , Robin Dietrich , Nicolai Waniek

There is extensive evidence that biological neural networks encode information in the precise timing of the spikes generated and transmitted by neurons, which offers several advantages over rate-based codes. Here we adopt a vector space…

Neurons and Cognition · Quantitative Biology 2019-07-16 Dorian Florescu , Daniel Coca

Accounting for the uncertainty in the predictions of modern neural networks is a challenging and important task in many domains. Existing algorithms for uncertainty estimation require modifying the model architecture and training procedure…

Machine Learning · Statistics 2022-05-09 Alexander Fishkov , Maxim Panov

Inspired by Kalikow-type decompositions, we introduce a new stochastic model of infinite neuronal networks, for which we establish sharp oracle inequalities for Lasso methods and restricted eigenvalue properties for the associated Gram…

Statistics Theory · Mathematics 2019-08-13 Guilherme Ost , Patricia Reynaud-Bouret

In reinforcement learning, agents often learn policies for specific tasks without the ability to generalize this knowledge to related tasks. This paper introduces an algorithm that attempts to address this limitation by decomposing neural…

Machine Learning · Computer Science 2024-10-16 Mahdi Alikhasi , Levi H. S. Lelis
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