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This paper considers optimal control of dynamical systems which are represented by nonlinear stochastic differential equations. It is well-known that the optimal control policy for this problem can be obtained as a function of a value…

机器人学 · 计算机科学 2014-05-30 Oktay Arslan , Evangelos Theodorou , Panagiotis Tsiotras

This paper deals with the problem of inferring the signals and parameters that cause neural activity to occur. The ultimate challenge being to unveil brain's connectivity, here we focus on a microscopic vision of the problem, where single…

统计计算 · 统计学 2015-11-13 Pau Closas , Antoni Guillamon

We analyze continuous Hopfield associative memories augmented by additional, rapid short-term associative synaptic plasticity. Through the cavity method, we determine the boundary between the retrieval and forgetting, or spin-glass phase,…

神经元与认知 · 定量生物学 2026-02-10 Martina Del Gaudio , Federico Ghimenti , Surya Ganguli

Machine learning practitioners invest significant manual and computational resources in finding suitable learning rates for optimization algorithms. We provide a probabilistic motivation, in terms of Gaussian inference, for popular…

机器学习 · 计算机科学 2021-02-23 Filip de Roos , Carl Jidling , Adrian Wills , Thomas Schön , Philipp Hennig

Bayesian optimization is a popular formalism for global optimization, but its computational costs limit it to expensive-to-evaluate functions. A competing, computationally more efficient, global optimization framework is optimistic…

机器学习 · 计算机科学 2022-09-05 Julia Grosse , Cheng Zhang , Philipp Hennig

Spike-timing-dependent plasticity(STDP) is a biological process of synaptic modification caused by the difference of firing order and timing between neurons. One of the neurodynamical roles of STDP is to form a macroscopic geometrical…

神经元与认知 · 定量生物学 2021-08-10 Hong-Gyu Yoon , Pilwon Kim

Spiking Neural Network (SNN) is considered more biologically realistic and power-efficient as it imitates the fundamental mechanism of the human brain. Recently, backpropagation (BP) based SNN learning algorithms that utilize deep learning…

神经与进化计算 · 计算机科学 2022-10-11 Chengting Yu , Yangkai Du , Mufeng Chen , Aili Wang , Gaoang Wang , Erping Li

Many areas of chemistry are devoted to the challenge of understanding, predicting, and controlling the behavior of strongly localized electrons. Examples include molecular magnetism and luminescence, color centers in crystals,…

化学物理 · 物理学 2022-09-08 R. Matthias Geilhufe , Jeffrey D. Rinehart

We introduce a new method to accurately and efficiently estimate the effective dynamics of collective variables in molecular simulations. Such reduced dynamics play an essential role in the study of a broad class of processes, ranging from…

Data-driven spatial filtering algorithms optimize scores such as the contrast between two conditions to extract oscillatory brain signal components. Most machine learning approaches for filter estimation, however, disregard within-trial…

信号处理 · 电气工程与系统科学 2019-01-30 Andreas Meinel , Henrich Kolkhorst , Michael Tangermann

Conventional analysis of neuroscience data involves computing average neural activity over a group of trials and/or a period of time. This approach may be particularly problematic when assessing the response patterns of neurons to more than…

Sample-efficient exploration is crucial not only for discovering rewarding experiences but also for adapting to environment changes in a task-agnostic fashion. A principled treatment of the problem of optimal input synthesis for system…

机器学习 · 计算机科学 2019-10-10 Matthias Schultheis , Boris Belousov , Hany Abdulsamad , Jan Peters

In this article we intoduce a novel stochastic Hebb-like learning rule for neural networks that is neurobiologically motivated. This learning rule combines features of unsupervised (Hebbian) and supervised (reinforcement) learning and is…

无序系统与神经网络 · 物理学 2009-11-11 Frank Emmert-Streib

Student procrastination and cramming for deadlines are major challenges in online learning environments, with negative educational and well-being side effects. Modeling student activities in continuous time and predicting their next study…

机器学习 · 计算机科学 2021-02-02 Mengfan Yao , Siqian Zhao , Shaghayegh Sahebi , Reza Feyzi Behnagh

We consider a stochastic Hodgkin-Huxley model driven by a periodic signal as model for the membrane potential of a pyramidal neuron. The associated five dimensional diffusion process is a time inhomogeneous highly degenerate diffusion for…

概率论 · 数学 2012-07-03 Reinhard Höpfner , Eva Löcherbach , Michèle Thieullen

We present theory and algorithms for the computation of probability-weighted "keep-out" sets to assure probabilistically safe navigation in the presence of multiple rigid body obstacles with stochastic dynamics. Our forward stochastic…

系统与控制 · 计算机科学 2018-09-20 Abraham P. Vinod , Meeko M. K. Oishi

Latency reduction of postsynaptic spikes is a well-known effect of Synaptic Time-Dependent Plasticity. We expand this notion for long postsynaptic spike trains, showing that, for a fixed input spike train, STDP reduces the number of…

神经元与认知 · 定量生物学 2019-07-26 Pau Vilimelis Aceituno , Masud Ehsani , Jürgen Jost

We propose a general framework, dubbed Stochastic Processing under Imperfect Information (SPII), to study the impact of information constraints and memories on dynamic resource allocation. The framework involves a Stochastic Processing…

信息论 · 计算机科学 2019-08-26 Kuang Xu , Yuan Zhong

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

数理金融 · 定量金融 2026-04-27 Thai Nguyen , Pertiny Nkuize

This paper presents a novel feature selection method based on the conditional mutual information (CMI). The proposed High Order Conditional Mutual Information Maximization (HOCMIM) incorporates high order dependencies into the feature…

机器学习 · 计算机科学 2022-08-25 Francisco Souza , Cristiano Premebida , Rui Araújo