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Loss functions with non-isolated minima have emerged in several machine learning problems, creating a gap between theory and practice. In this paper, we formulate a new type of local convexity condition that is suitable to describe the…

Machine Learning · Computer Science 2022-05-31 Taehee Ko , Xiantao Li

We propose a local Legendre frame (LLF) method for function approximation from equispaced data on a finite interval. Motivated by the difficulty of stable high-order polynomial approximation at equispaced points, especially in the presence…

Numerical Analysis · Mathematics 2026-05-12 Benxue Gong , Zhenyu Zhao , Chenyang Wang

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

This report proposes an improved method for the Temporal Sound Localisation (TSL) task, which localizes and classifies the sound events occurring in the video according to a predefined set of sound classes. The champion solution from last…

Sound · Computer Science 2024-10-01 Haowei Gu , Weihao Zhu , Yang Yang

Low rank tensor completion is a highly ill-posed inverse problem, particularly when the data model is not accurate, and some sort of regularization is required in order to solve it. In this article we focus on the calibration of the data…

Numerical Analysis · Mathematics 2019-04-10 Lars Grasedyck , Sebastian Krämer

Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

We have developed a linearization method to investigate the subthreshold oscillatory behaviors in nonlinear autonomous systems. By considering firstly the neuronal system as an example, we show that this theoretical approach can predict…

Quantitative Methods · Quantitative Biology 2007-05-23 Shenbing Kuang , Jiafu Wang , Ting Zeng , Aiyin Cao

Self-supervised learning (SSL) has empirically shown its data representation learnability in many downstream tasks. There are only a few theoretical works on data representation learnability, and many of those focus on final data…

Machine Learning · Computer Science 2024-01-09 Ruofeng Yang , Xiangyuan Li , Bo Jiang , Shuai Li

The oscillatory nature of the cortical local field potential (LFP) is commonly interpreted as a reflection of synchronized network activity, but its relationship to observed transient coincident firing of neurons on the millisecond…

Neurons and Cognition · Quantitative Biology 2011-11-24 Michael Denker , Sébastien Roux , Henrik Lindén , Markus Diesmann , Alexa Riehle , Sonja Grün

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

Stationary graph process models are commonly used in the analysis and inference of data sets collected on irregular network topologies. While most of the existing methods represent graph signals with a single stationary process model that…

Machine Learning · Statistics 2024-02-28 Abdullah Canbolat , Elif Vural

Signal Temporal Logic (STL) is a powerful framework for describing the complex temporal and logical behaviour of the dynamical system. Numerous studies have attempted to employ reinforcement learning to learn a controller that enforces STL…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Naman Saxena , Gorantla Sandeep , Pushpak Jagtap

The LOCAL model is among the main models for studying locality in the framework of distributed network computing. This model is however subject to pertinent criticisms, including the facts that all nodes wake up simultaneously, perform in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-09 Carole Delporte-Gallet , Hugues Fauconnier , Pierre Fraigniaud , Mikaël Rabie

Standard one-carrier kinetic models for thermoluminescence (TL) relate to the simple trap model (STM) and the model of localized transitions (LT). This paper presents a review of TL properties in various spatially correlated systems (SCS)…

Materials Science · Physics 2007-05-23 Arkadiusz Mandowski

We introduce $\textbf{Hierarchical Taylor Series-based Continual Learning (HTCL)}$, a framework that couples fast local adaptation with conservative, second-order global consolidation to address the high variance introduced by random task…

Machine Learning · Computer Science 2026-02-04 Protik Nag , Krishnan Raghavan , Vignesh Narayanan

We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is the hierarchy of local and global synchrony, i.e.,…

Chaotic Dynamics · Physics 2012-01-19 Per Sebastian Skardal , Juan G. Restrepo

We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a chain of diffusively coupled bistable oscillators. In particular, we examine the situation in which the \textit{global} STSR response is controlled by a…

Biological Physics · Physics 2007-05-23 A. Samoletov , M. Chaplain , V. Levi

Reinforcement Learning (RL) has shown promise in various robotics applications, yet its deployment on real systems is still limited due to safety and operational constraints. The safe RL field has gained considerable attention in recent…

Robotics · Computer Science 2026-03-19 Sadık Bera Yüksel , Ali Tevfik Buyukkocak , Derya Aksaray

Decomposition of any Boolean Function BF_n of n binary inputs into an optimal inverter coupled network of Symmetric Boolean functions SF_k (k \leq n) is described. Each SF component is implemented by Threshold Logic Cells, forming a…

General Mathematics · Mathematics 2007-05-23 N. F. Benschop

While end-to-end self-supervised learning with backpropagation (global BP-SSL) has become central for training modern AI systems, theories of local self-supervised learning (local-SSL) have struggled to build functional representations in…

Machine Learning · Computer Science 2026-01-30 Wu S. Zihan , Ariane Delrocq , Wulfram Gerstner , Guillaume Bellec