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The backpropagation (BP) algorithm is often thought to be biologically implausible in the brain. One of the main reasons is that BP requires symmetric weight matrices in the feedforward and feedback pathways. To address this "weight…

Machine Learning · Computer Science 2018-12-24 Will Xiao , Honglin Chen , Qianli Liao , Tomaso Poggio

Identifying the causal relations between interested variables plays a pivotal role in representation learning as it provides deep insights into the dataset. Identifiability, as the central theme of this approach, normally hinges on…

Machine Learning · Computer Science 2024-08-13 Boyang Sun , Ignavier Ng , Guangyi Chen , Yifan Shen , Qirong Ho , Kun Zhang

We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

Despite the impressive performance of biological and artificial networks, an intuitive understanding of how their local learning dynamics contribute to network-level task solutions remains a challenge to this date. Efforts to bring learning…

Information Theory · Computer Science 2025-03-27 Abdullah Makkeh , Marcel Graetz , Andreas C. Schneider , David A. Ehrlich , Viola Priesemann , Michael Wibral

Modeling non Gaussian and non stationary signals and images has always been one of the most important part of signal and image processing methods. In this paper, first we propose a few new models, all based on using hidden variables for…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

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…

Neural and Evolutionary Computing · Computer Science 2021-12-09 Nick Alonso , Emre Neftci

The brain is a nonlinear and highly Recurrent Neural Network (RNN). This RNN is surprisingly plastic and supports our astonishing ability to learn and execute complex tasks. However, learning is incredibly complicated due to the brain's…

Neural and Evolutionary Computing · Computer Science 2023-03-14 Mohammad Modiri

Encoding models provide a powerful framework for linking continuous stimulus features to neural activity; however, traditional voxelwise approaches are limited by measurement noise, inter-subject variability, and redundancy arising from…

Computation and Language · Computer Science 2026-04-29 Kamya Hari , Taha Binhuraib , Jin Li , Cory Shain , Anna A. Ivanova

Brain-computer interfaces (BCIs) make possible to interact with the external environment by decoding the mental intention of individuals. BCIs can therefore be used to address basic neuroscience questions but also to unlock a variety of…

Neurons and Cognition · Quantitative Biology 2021-02-12 Juliana Gonzalez-Astudillo , Tiziana Cattai , Giulia Bassignana , Marie-Constance Corsi , Fabrizio De Vico Fallani

Separating high-dimensional data like images into independent latent factors, i.e independent component analysis (ICA), remains an open research problem. As we show, existing probabilistic deep generative models (DGMs), which are…

Machine Learning · Computer Science 2021-02-01 Alexander Camuto , Matthew Willetts , Brooks Paige , Chris Holmes , Stephen Roberts

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Muhammad Usman Khalid

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…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

Signal Processing · Electrical Eng. & Systems 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

Brain-computer interfaces (BCIs), transform neural signals in the brain into in-structions to control external devices. However, obtaining sufficient training data is difficult as well as limited. With the advent of advanced machine…

Neurons and Cognition · Quantitative Biology 2024-07-02 Shengjie Zheng , Wenyi Li , Lang Qian , Chenggang He , Xiaojian Li

Analysis of data from functional magnetic resonance imaging (fMRI) results in constructing functional brain networks. Principal component analysis (PCA) and independent component analysis (ICA) are widely used to generate functional brain…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Mohsen Joneidi

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

Spiking neural networks (SNN) are delivering energy-efficient, massively parallel, and low-latency solutions to AI problems, facilitated by the emerging neuromorphic chips. To harness these computational benefits, SNN need to be trained by…

Neural and Evolutionary Computing · Computer Science 2021-10-28 Guangzhi Tang , Neelesh Kumar , Ioannis Polykretis , Konstantinos P. Michmizos

We study the problem of unsupervised representation learning in slightly misspecified settings, and thus formalize the study of robustness of nonlinear representation learning. We focus on the case where the mixing is close to a local…

Machine Learning · Statistics 2025-03-20 Simon Buchholz , Bernhard Schölkopf

Independent component analysis (ICA) is a popular tool for investigating brain organization in neuroscience research. In fMRI studies, an important goal is to study how brain networks are modulated by subjects' clinical and demographic…

Computation · Statistics 2020-04-08 Joshua Lukemire , Yikai Wang , Amit Verma , Ying Guo

Biological neurons exhibit remarkable intelligence: they maintain internal states, communicate selectively with other neurons, and self-organize into complex graphs rather than rigid hierarchical layers. What if artificial intelligence…

Machine Learning · Computer Science 2025-12-01 Antoine Salomon