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This paper investigates the optimal control problem for a class of discrete-time stochastic systems subject to additive and multiplicative noises. A stochastic Lyapunov equation and a stochastic algebra Riccati equation are established for…

系统与控制 · 电气工程与系统科学 2020-08-24 Jing Lai , Junlin Xiong , Zhan Shu

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

神经元与认知 · 定量生物学 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

Dense embeddings deliver strong retrieval performance but often lack interpretability and controllability. This paper introduces a novel approach using sparse autoencoders (SAE) to interpret and control dense embeddings via the learned…

信息检索 · 计算机科学 2025-02-25 Hao Kang , Tevin Wang , Chenyan Xiong

In this paper, a self-triggered adaptive model predictive control (MPC) algorithm is proposed for constrained discrete-time nonlinear systems subject to parametric uncertainties and additive disturbances. To bound the parametric…

最优化与控制 · 数学 2019-12-17 Kunwu Zhang , Changxin Liu , Yang Shi

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

无序系统与神经网络 · 物理学 2020-12-10 Elena Agliari , Giordano De Marzo

We propose self-adaptive training -- a unified training algorithm that dynamically calibrates and enhances training processes by model predictions without incurring an extra computational cost -- to advance both supervised and…

机器学习 · 计算机科学 2022-10-17 Lang Huang , Chao Zhang , Hongyang Zhang

We propose a general strategy for feedback control design of complex dynamical systems exploiting the nonlinear mechanisms in a systematic unsupervised manner. These dynamical systems can have a state space of arbitrary dimension with…

混沌动力学 · 物理学 2013-11-22 Thomas Duriez , Vladimir Parezanovic , Bernd R. Noack , Laurent Cordier , Marc Segond , Markus Abel

Training deep neural networks on real-world datasets is often hampered by the presence of noisy labels, which can be memorized by over-parameterized models, leading to significant degradation in generalization performance. While existing…

机器学习 · 计算机科学 2025-12-18 Jianchao Wang , Qingfeng Li , Pengcheng Zheng , Xiaorong Pu , Yazhou Ren

We present an algorithm for controlling and scheduling multiple linear time-invariant processes on a shared bandwidth limited communication network using adaptive sampling intervals. The controller is centralized and computes at every…

系统与控制 · 计算机科学 2015-06-25 Erik Henriksson , Daniel E. Quevedo , Edwin G. W. Peters , Henrik Sandberg , Karl Henrik Johansson

A discrete time stochastic feedback control system with a noisy communication channel between the sensor and the controller is considered. The sensor has limited memory. At each time, the sensor transmits encoded symbol over the channel and…

最优化与控制 · 数学 2007-05-23 Aditya Mahajan , Demosthenis Teneketzis

We study the effect of competition between short-term synaptic depression and facilitation on the dynamical properties of attractor neural networks, using Monte Carlo simulation and a mean field analysis. Depending on the balance between…

神经元与认知 · 定量生物学 2007-05-23 J. J. Torres , J. M. Cortes , J. Marro , H. J. Kappen

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

最优化与控制 · 数学 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

机器学习 · 计算机科学 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

The activity patterns of highly developed cognitive systems like the human brain are dominated by autonomous dynamical processes, that is by a self-sustained activity which would be present even in the absence of external sensory stimuli.…

神经元与认知 · 定量生物学 2008-04-14 Claudius Gros , Gregor Kaczor

Stochastic resetting has attracted significant attention in recent years due to its wide-ranging applications across physics, biology, and search processes. In most existing studies, however, resetting events are governed by an external…

统计力学 · 物理学 2026-03-31 Arup Biswas , Satya N Majumdar , Arnab Pal

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

神经元与认知 · 定量生物学 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

We introduce a new class of first passage time optimization driven by threshold resetting, inspired by many natural processes where crossing a critical limit triggers failure, degradation or transition. In here, search agents are…

统计力学 · 物理学 2026-01-22 Arup Biswas , Satya N Majumdar , Arnab Pal

An exact solution of the transient dynamics for a sequential associative memory model is discussed through both the path-integral method and the statistical neurodynamics. Although the path-integral method has the ability to give an exact…

无序系统与神经网络 · 物理学 2009-11-07 Masaki Kawamura , Masato Okada

We use a biophysical model of a local neuronal circuit to study the implications of synaptic plasticity for the detection of weak sensory stimuli. Networks with fast plastic coupling show behavior consistent with stochastic resonance.…

神经元与认知 · 定量生物学 2009-11-13 Vladislav Volman , Herbert Levine

The task of a neural associative memory is to retrieve a set of previously memorized patterns from their noisy versions using a network of neurons. An ideal network should have the ability to 1) learn a set of patterns as they arrive, 2)…

神经与进化计算 · 计算机科学 2014-07-25 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi