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There has been an intense development on the estimation of a sparse regression coefficient vector in statistics, machine learning and related fields. In this paper, we focus on the Bayesian approach to this problem, where sparsity is…

Computation · Statistics 2016-02-25 Xichen Huang , Jin Wang , Feng Liang

Spontaneous neural activity, crucial in memory, learning, and spatial navigation, often manifests itself as repetitive spatiotemporal patterns. Despite their importance, analyzing these patterns in large neural recordings remains…

Signal Processing · Electrical Eng. & Systems 2024-05-15 Roman Koshkin , Tomoki Fukai

The recognition network in deep latent variable models such as variational autoencoders (VAEs) relies on amortized inference for efficient posterior approximation that can scale up to large datasets. However, this technique has also been…

Machine Learning · Statistics 2019-02-28 Rui Shu , Hung H. Bui , Jay Whang , Stefano Ermon

In this paper we consider the problem of localizing a set of broadband sources from a finite window of measurements. In the case of narrowband sources this can be reduced to the problem of spectral line estimation, where our goal is simply…

Signal Processing · Electrical Eng. & Systems 2022-10-24 Coleman DeLude , Rakshith Sharma , Santhosh Karnik , Christopher Hood , Mark Davenport , Justin Romberg

Variable selection for structured covariates lying on an underlying known graph is a problem motivated by practical applications, and has been a topic of increasing interest. However, most of the existing methods may not be scalable to high…

Methodology · Statistics 2016-04-27 Changgee Chang , Suprateek Kundu , Qi Long

We consider the linearly transformed spiked model, where observations $Y_i$ are noisy linear transforms of unobserved signals of interest $X_i$: \begin{align*} Y_i = A_i X_i + \varepsilon_i, \end{align*} for $i=1,\ldots,n$. The transform…

Statistics Theory · Mathematics 2018-07-13 Edgar Dobriban , William Leeb , Amit Singer

In this work, we propose a scalable Bayesian procedure for learning the local dependence structure in a high-dimensional model where the variables possess a natural ordering. The ordering of variables can be indexed by time, the vicinities…

Methodology · Statistics 2021-09-27 Kyoungjae Lee , Lizhen Lin

Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated presentations of identical stimuli. This motivates the use of…

We consider the closely related problems of sampling from a distribution known up to a normalizing constant, and estimating said normalizing constant. We show how variational autoencoders (VAEs) can be applied to this task. In their…

Machine Learning · Computer Science 2022-09-22 George T. Cantwell

Background: Magneto- and Electro-encephalography record the electromagnetic field generated by neural currents with high temporal frequency and good spatial resolution, and are therefore well suited for source localization in the time and…

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

The advent of large-scale and high-density extracellular recording devices allows simultaneous recording from thousands of neurons. However, the complexity and size of the data makes it mandatory to develop robust algorithms for fully…

Neurons and Cognition · Quantitative Biology 2019-12-03 Gerrit Hilgen

Recently there has seen promising results on automatic stage scoring by extracting spatio-temporal features from electroencephalogram (EEG). Such methods entail laborious manual feature engineering and domain knowledge. In this study, we…

Signal Processing · Electrical Eng. & Systems 2022-04-08 Lingwei Zhu , Koki Odani , Ziwei Yang , Guang Shi , Yirong Kan , Zheng Chen , Renyuan Zhang

Spike sorting is a crucial step in decoding multichannel extracellular neural signals, enabling the identification of individual neuronal activity. A key challenge in brain-machine interfaces (BMIs) is achieving real-time, low-power spike…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Alexis Melot , Sean U. N. Wood , Yannick Coffinier , Pierre Yger , Fabien Alibart

Our work utilized a non-sequential simulation-based inference algorithm to provide an amortized neural density estimator, which approximates the posterior distribution for seven parameters of the adaptive exponential integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2026-02-13 Jakob Kaiser , Eric Müller , Johannes Schemmel

Light-field microscopes are able to capture spatial and angular information of incident light rays. This allows reconstructing 3D locations of neurons from a single snap-shot.In this work, we propose a model-inspired deep learning approach…

Image and Video Processing · Electrical Eng. & Systems 2021-03-11 Pingfan Song , Herman Verinaz Jadan , Carmel L. Howe , Peter Quicke , Amanda J. Foust , Pier Luigi Dragotti

Spike sorting is a critical process for decoding large-scale neural activity from extracellular recordings. The advancement of neural probes facilitates the recording of a high number of neurons with an increase in channel counts, arising a…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Yuntao Han , Yihan Pan , Xiongfei Jiang , Cristian Sestito , Shady Agwa , Themis Prodromakis , Shiwei Wang

Objective. Spike sorting, a critical step in neural data processing, aims to classify spiking events from single electrode recordings based on different waveforms. This study aims to develop a novel online spike sorter, NeuSort, using…

Neural and Evolutionary Computing · Computer Science 2023-09-19 Hang Yu , Yu Qi , Gang Pan

We present a novel approach to the 3D sound source localization task for distributed ad-hoc microphone arrays by formulating it as a set-to-set regression problem. By training a multi-modal masked autoencoder model that operates on audio…

Audio and Speech Processing · Electrical Eng. & Systems 2024-12-17 Axel Berg , Jens Gulin , Mark O'Connor , Chuteng Zhou , Karl Åström , Magnus Oskarsson