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Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

机器学习 · 计算机科学 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

Predictive coding is a promising theoretical framework in neuroscience for understanding information transmission and perception. It posits that the brain perceives the external world through internal models and updates these models under…

神经元与认知 · 定量生物学 2022-09-07 Zhen-Ye Huang , Xin-Yi Fan , Jianwen Zhou , Hai-Jun Zhou

In the context of the phenomenon of Stochastic Resonance (SR) we study the correlation function, the signal-to-noise ratio (SNR) and the ratio of output over input SNR, i.e. the gain, which is associated to the nonlinear response of a…

Feature learning in neural networks is crucial for their expressive power and inductive biases, motivating various theoretical approaches. Some approaches describe network behavior after training through a change in kernel scale from…

无序系统与神经网络 · 物理学 2025-05-29 Noa Rubin , Kirsten Fischer , Javed Lindner , David Dahmen , Inbar Seroussi , Zohar Ringel , Michael Krämer , Moritz Helias

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

神经元与认知 · 定量生物学 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

无序系统与神经网络 · 物理学 2012-02-01 Dimitrije Markovic , Claudius Gros

Predictive coding (PC) is a general theory of cortical function. The local, gradient-based learning rules found in one kind of PC model have recently been shown to closely approximate backpropagation. This finding suggests that this…

神经与进化计算 · 计算机科学 2021-12-09 Nick Alonso , Emre Neftci

The inductive biases of trained neural networks are difficult to understand and, consequently, to adapt to new settings. We study the inductive biases of linearizations of neural networks, which we show to be surprisingly good summaries of…

Predicting the response of nonlinear dynamical systems subject to random, broadband excitation is important across a range of scientific disciplines, such as structural dynamics and neuroscience. Building data-driven models requires…

机器学习 · 计算机科学 2024-09-27 Joseph Massingham , Ole Nielsen , Tore Butlin

Neural activity in the brain exhibits correlated fluctuations that may strongly influence the properties of neural population coding. However, how such correlated neural fluctuations may arise from the intrinsic neural circuit dynamics and…

生物物理 · 物理学 2023-10-18 Hengyuan Ma , Yang Qi , Pulin Gong , Jie Zhang , Wenlian Lu , Jianfeng Feng

This paper deals with differentiable dynamical models congruent with neural process theories that cast brain function as the hierarchical refinement of an internal generative model explaining observations. Our work extends existing…

机器学习 · 计算机科学 2021-12-10 André Ofner , Sebastian Stober

Feed-forward neural networks can be understood as a combination of an intermediate representation and a linear hypothesis. While most previous works aim to diversify the representations, we explore the complementary direction by performing…

机器学习 · 计算机科学 2019-10-24 Han Zhao , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov , Geoffrey J. Gordon

The recent success of neural network models has shone light on a rather surprising statistical phenomenon: statistical models that perfectly fit noisy data can generalize well to unseen test data. Understanding this phenomenon of…

机器学习 · 统计学 2022-09-13 Niladri S. Chatterji , Philip M. Long , Peter L. Bartlett

Modeling future traffic conditions often relies heavily on complex spatial-temporal neural networks to capture spatial and temporal correlations, which can overlook the inherent noise in the data. This noise, often manifesting as unexpected…

机器学习 · 计算机科学 2023-10-26 Yuanshao Zhu , Yongchao Ye , Xiangyu Zhao , James J. Q. Yu

In a generic neuron model, we present the linear response theory for the firing rate in response to both time dependent input currents and noise amplitudes. In both cases the signal transmission is strongly attenuated for frequencies above…

生物物理 · 物理学 2007-05-23 Bjoern Naundorf , Theo Geisel , Fred Wolf

The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the…

神经元与认知 · 定量生物学 2011-11-02 Michael Famulare , Adrienne L. Fairhall

Integrate-and-fire (IF) neurons have found widespread applications in computational neuroscience. Particularly important are stochastic versions of these models where the driving consists of a synaptic input modeled as white Gaussian noise…

神经元与认知 · 定量生物学 2009-12-15 Rafael D. Vilela , Benjamin Lindner

Neural networks are vulnerable to input perturbations such as additive noise and adversarial attacks. In contrast, human perception is much more robust to such perturbations. The Bayesian brain hypothesis states that human brains use an…

机器学习 · 计算机科学 2020-11-11 Yujia Huang , James Gornet , Sihui Dai , Zhiding Yu , Tan Nguyen , Doris Y. Tsao , Anima Anandkumar

We present an unsupervised, local activation-dependent learning rule for intrinsic plasticity (IP) which affects the composition of ion channel conductances for single neurons in a use-dependent way. We use a single-compartment…

神经元与认知 · 定量生物学 2017-08-29 Gabriele Scheler

Animals learn to predict external contingencies from experience through a process of conditioning. A natural mechanism for conditioning is stimulus substitution, whereby the neuronal response to a stimulus with no prior behavioral…

神经元与认知 · 定量生物学 2024-09-23 Pantelis Vafidis , Antonio Rangel