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In the last decade, there have been major advances in clusterless decoding algorithms for neural data analysis. These algorithms use the theory of marked point processes to describe the joint activity of many neurons simultaneously, without…

Neurons and Cognition · Quantitative Biology 2025-12-09 Azar Ghahari , Uri T. Eden

The development of mechanistic models of physical systems is essential for understanding their behavior and formulating predictions that can be validated experimentally. Calibration of these models, especially for complex systems, requires…

Neural and Evolutionary Computing · Computer Science 2024-12-04 Jakob Huhle , Jakob Kaiser , Eric Müller , Johannes Schemmel

Structured variational inference constitutes a core methodology in modern statistical applications. Unlike mean-field variational inference, the approximate posterior is assumed to have interdependent structure. We consider the natural…

Machine Learning · Statistics 2025-11-14 Shunan Sheng , Bohan Wu , Bennett Zhu , Sinho Chewi , Aram-Alexandre Pooladian

Conventional variational autoencoders fail in modeling correlations between data points due to their use of factorized priors. Amortized Gaussian process inference through GP-VAEs has led to significant improvements in this regard, but is…

Machine Learning · Statistics 2021-02-25 Metod Jazbec , Matthew Ashman , Vincent Fortuin , Michael Pearce , Stephan Mandt , Gunnar Rätsch

Stochastic variational inference makes it possible to approximate posterior distributions induced by large datasets quickly using stochastic optimization. The algorithm relies on the use of fully factorized variational distributions.…

Machine Learning · Computer Science 2014-11-27 Matthew D. Hoffman , David M. Blei

We describe a novel method for dynamic estimation of multi-dipole states from Magneto/Electro-encephalography (M/EEG) time series. The new approach builds on the recent development of particle filters for M/EEG; these algorithms…

Numerical Analysis · Mathematics 2016-03-18 Valentina Vivaldi , Alberto Sorrentino

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

Machine Learning · Statistics 2015-08-04 Yuval Harel , Ron Meir , Manfred Opper

The brain is composed of billions of neurons with virtually endless morphologies and ion channel compositions, resulting in unique extracellular waveforms. Nevertheless, almost all neuronal morphologies can be reduced to a simple…

Neurons and Cognition · Quantitative Biology 2026-01-12 Jérémie Sibille , Kai Lun Teh , Alexandra Tzilivaki , Dietmar Schmitz , Paula T. Kuokkanen

Background: Current neuronal monitoring techniques, such as calcium imaging and multi-electrode arrays, enable recordings of spiking activity from hundreds of neurons simultaneously. Of primary importance in systems neuroscience is the…

Neurons and Cognition · Quantitative Biology 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

Using a low-dimensional parametrization of signals is a generic and powerful way to enhance performance in signal processing and statistical inference. A very popular and widely explored type of dimensionality reduction is sparsity; another…

Statistics Theory · Mathematics 2020-04-02 Benjamin Aubin , Bruno Loureiro , Antoine Maillard , Florent Krzakala , Lenka Zdeborová

Stacking is a widely used model averaging technique that asymptotically yields optimal predictions among linear averages. We show that stacking is most effective when model predictive performance is heterogeneous in inputs, and we can…

Methodology · Statistics 2021-10-29 Yuling Yao , Gregor Pirš , Aki Vehtari , Andrew Gelman

Neural posterior estimation has emerged as a powerful tool for amortized inference, with growing adoption across scientific and applied domains. In many of these applications, the conditioning variable is a set of observations whose…

Machine Learning · Computer Science 2026-05-11 Antoine Wehenkel , Michael Kagan , Lukas Heinrich , Chris Pollard

In segmentation problems, inference on change-point position and model selection are two difficult issues due to the discrete nature of change-points. In a Bayesian context, we derive exact, non-asymptotic, explicit and tractable formulae…

Computation · Statistics 2015-12-31 Guillem Rigaill , Emilie Lebarbier , Stéphane Robin

Bayesian (deep) neural networks (BNN) are often more attractive than the vanilla point-estimate deep learning in various aspects including uncertainty quantification, robustness to noise, resistance to overfitting, and more. The variational…

Machine Learning · Computer Science 2026-05-22 Minyoung Kim

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

Computation · Statistics 2009-10-19 Paul Fearnhead , Zhen Liu

We present a deep learning solution to the problem of localization of magnetoencephalography (MEG) brain signals. The proposed deep model architectures are tuned for single and multiple time point MEG data, and can estimate varying numbers…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Dimitrios Pantazis , Amir Adler

Change detection involves segmenting sequential data such that observations in the same segment share some desired properties. Multivariate change detection continues to be a challenging problem due to the variety of ways change points can…

Methodology · Statistics 2018-10-16 Wenyu Zhang , Daniel Gilbert , David Matteson

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Spike deconvolution is the problem of recovering the point sources from their convolution with a known point spread function, which plays a fundamental role in many sensing and imaging applications. In this paper, we investigate the local…

Information Theory · Computer Science 2023-02-28 Maxime Ferreira Da Costa , Yuejie Chi

Recent studies have explored the use of deep generative models of speech spectra based of variational autoencoders (VAEs), combined with unsupervised noise models, to perform speech enhancement. These studies developed iterative algorithms…

Sound · Computer Science 2019-05-15 Manuel Pariente , Antoine Deleforge , Emmanuel Vincent