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This paper presents a novel stochastic barrier function (SBF) framework for safety analysis of stochastic systems based on piecewise (PW) functions. We first outline a general formulation of PW-SBFs. Then, we focus on PW-Constant (PWC) SBFs…

Robotics · Computer Science 2024-10-24 Rayan Mazouz , Frederik Baymler Mathiesen , Luca Laurenti , Morteza Lahijanian

We propose a new globally convergent stochastic second order method. Our starting point is the development of a new Sketched Newton-Raphson (SNR) method for solving large scale nonlinear equations of the form $F(x)=0$ with $F:\mathbb{R}^p…

Numerical Analysis · Mathematics 2022-05-10 Rui Yuan , Alessandro Lazaric , Robert M. Gower

Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields…

Optimization and Control · Mathematics 2021-08-03 Pavel Dvurechensky , Kamil Safin , Shimrit Shtern , Mathias Staudigl

The dominant paradigm for RLHF is online and on-policy RL: synchronously generating from the large language model (LLM) policy, labelling with a reward model, and learning using feedback on the LLM's own outputs. While performant, this…

Machine Learning · Computer Science 2025-04-29 Michael Noukhovitch , Shengyi Huang , Sophie Xhonneux , Arian Hosseini , Rishabh Agarwal , Aaron Courville

Spiking Neural Networks (SNNs) offer a more energy-efficient alternative to Artificial Neural Networks (ANNs) by mimicking biological neural principles, establishing them as a promising approach to mitigate the increasing energy demands of…

Machine Learning · Computer Science 2025-02-24 Velibor Bojković , Xiaofeng Wu , Bin Gu

Federated learning (FL) enables a set of geographically distributed clients to collectively train a model through a server. Classically, the training process is synchronous, but can be made asynchronous to maintain its speed in presence of…

Machine Learning · Computer Science 2024-06-21 Bart Cox , Abele Mălan , Lydia Y. Chen , Jérémie Decouchant

We introduce novel techniques to enhance Frank-Wolfe algorithms by leveraging function smoothness beyond traditional short steps. Our study focuses on Frank-Wolfe algorithms with step sizes that incorporate primal-dual guarantees, offering…

Optimization and Control · Mathematics 2025-02-03 David Martínez-Rubio , Sebastian Pokutta

Federated Learning (FL) enables large-scale distributed training of machine learning models, while still allowing individual nodes to maintain data locally. However, executing FL at scale comes with inherent practical challenges: 1)…

Machine Learning · Computer Science 2025-05-23 Hossein Zakerinia , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

Agents that operate autonomously benefit from lifelong learning capabilities. However, compatible training algorithms must comply with the decentralized nature of these systems, which imposes constraints on both the parameter counts and the…

Machine Learning · Computer Science 2025-03-28 Xing Chen , Dongshu Liu , Jeremie Laydevant , Julie Grollier

Stochastic compositional optimization minimizes objectives of the form $\min_{\bm{x} \in \mathcal{X}} F(\bm{f}(\bm{x}), \bm{x})$, where $\bm{f}$ is accessible only through noisy stochastic queries. Existing methods for this problem assume…

Optimization and Control · Mathematics 2026-05-18 El Mahdi Chayti

Recently, there is growing demand for effective and efficient long sequence modeling, with State Space Models (SSMs) proving to be effective for long sequence tasks. To further reduce energy consumption, SSMs can be adapted to Spiking…

Neural and Evolutionary Computing · Computer Science 2024-10-31 Yulong Huang , Zunchang Liu , Changchun Feng , Xiaopeng Lin , Hongwei Ren , Haotian Fu , Yue Zhou , Hong Xing , Bojun Cheng

As neural networks get widespread adoption in resource-constrained embedded devices, there is a growing need for low-power neural systems. Spiking Neural Networks (SNNs)are emerging to be an energy-efficient alternative to the traditional…

Machine Learning · Computer Science 2021-12-01 Yeshwanth Venkatesha , Youngeun Kim , Leandros Tassiulas , Priyadarshini Panda

Frank-Wolfe algorithms for convex minimization have recently gained considerable attention from the Optimization and Machine Learning communities, as their properties make them a suitable choice in a variety of applications. However, as…

Machine Learning · Statistics 2015-10-27 Emanuele Frandi , Ricardo Nanculef , Johan Suykens

We propose an algorithm which appears to be the first bridge between the fields of conditional gradient methods and abs-smooth optimization. Our problem setting is motivated by various applications that lead to nonsmoothness, such as…

Optimization and Control · Mathematics 2023-07-20 Timo Kreimeier , Sebastian Pokutta , Andrea Walther , Zev Woodstock

Spiking Neural Networks (SNNs) have garnered attention over recent years due to their increased energy efficiency and advantages in terms of operational complexity compared to traditional Artificial Neural Networks (ANNs). Two important…

Neural and Evolutionary Computing · Computer Science 2025-01-15 Daniel Windhager , Lothar Ratschbacher , Bernhard A. Moser , Michael Lunglmayr

As a foundational architecture of artificial intelligence models, Transformer has been recently adapted to spiking neural networks with promising performance across various tasks. However, existing spiking Transformer(ST)-based models…

Machine Learning · Computer Science 2026-01-06 Hongze Sun , Wuque Cai , Duo Chen , Quan Tang , Shifeng Mao , Jiayi He , Zhenxing Wang , Yan Cui , Dezhong Yao , Daqing Guo

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

Machine Learning · Computer Science 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

Optimization and Control · Mathematics 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

Spiking Neural Networks (SNNs) are extensively utilized in brain-inspired computing and neuroscience research. To enhance the speed and energy efficiency of SNNs, several many-core accelerators have been developed. However, maintaining the…

Neural and Evolutionary Computing · Computer Science 2024-07-31 Zhuo Chen , De Ma , Xiaofei Jin , Qinghui Xing , Ouwen Jin , Xin Du , Shuibing He , Gang Pan

This work proposes a new algorithm for training a re-weighted L2 Support Vector Machine (SVM), inspired on the re-weighted Lasso algorithm of Cand\`es et al. and on the equivalence between Lasso and SVM shown recently by Jaggi. In…

Machine Learning · Computer Science 2018-04-16 Carlos M. Alaíz , Johan A. K. Suykens
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