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Deep Gaussian Processes (DGPs) are hierarchical generalizations of Gaussian Processes that combine well calibrated uncertainty estimates with the high flexibility of multilayer models. One of the biggest challenges with these models is that…

Reconstructing brain activity through electroencephalography requires a boundary value problem (BVP) solver to take a proposed distribution of current dipoles within the brain and compute the resulting electrostatic potential on the scalp.…

计算工程、金融与科学 · 计算机科学 2016-12-15 Michael McCourt , Ian Dewancker , Salvatore Ganci

Electroencephalography (EEG) reflects the brain's functional state, making it a crucial tool for diverse detection applications like seizure detection and sleep stage classification. While deep learning-based approaches have recently shown…

机器学习 · 计算机科学 2025-10-07 Kerui Wu , Ziyue Zhao , Bülent Yener

While Mixture-of-Experts (MoE) scales capacity via conditional computation, Transformers lack a native primitive for knowledge lookup, forcing them to inefficiently simulate retrieval through computation. To address this, we introduce…

This work aims efficiently estimating the posterior distribution of kinetic parameters for dynamic positron emission tomography (PET) imaging given a measurement of time of activity curve. Considering the inherent information loss from…

医学物理 · 物理学 2023-10-25 Xiaofeng Liu , Thibault Marin , Tiss Amal , Jonghye Woo , Georges El Fakhri , Jinsong Ouyang

Deep Gaussian processes (DGPs), a hierarchical composition of GP models, have successfully boosted the expressive power of their single-layer counterpart. However, it is impossible to perform exact inference in DGPs, which has motivated the…

机器学习 · 计算机科学 2021-05-27 Haibin Yu , Dapeng Liu , Yizhou Chen , Bryan Kian Hsiang Low , Patrick Jaillet

We formulate Ensemble-Conditional Gaussian Processes (Ens-CGP), a finite-dimensional synthesis that centers ensemble-based inference on the conditional Gaussian law. Conditional Gaussian processes (CGP) arise directly from Gaussian…

Bayesian computational strategies for inference can be inefficient in approximating the posterior distribution in models that exhibit some form of periodicity. This is because the probability mass of the marginal posterior distribution of…

机器学习 · 统计学 2025-12-01 Javier Lopez-Santiago , Luca Martino , Joaquin Miguez , Gonzalo Vazquez-Vilar

This paper presents a new Expectation Propagation (EP) framework for image restoration using patch-based prior distributions. While Monte Carlo techniques are classically used to sample from intractable posterior distributions, they can…

计算机视觉与模式识别 · 计算机科学 2021-11-11 Dan Yao , Stephen McLaughlin , Yoann Altmann

Epilepsy is the fourth most common neurological disorder, affecting about 1% of the population at all ages. As many as 60% of people with epilepsy experience focal seizures which originate in a certain brain area and are limited to part of…

机器学习 · 计算机科学 2019-03-20 Diyuan Lu , Jochen Triesch

Generalisation to unseen subjects in EEG-based emotion classification remains a challenge due to high inter-and intra-subject variability. Continual learning (CL) poses a promising solution by learning from a sequence of tasks while…

机器学习 · 计算机科学 2026-01-14 Nina Peire , Yupei Li , Björn Schuller

Conditional neural processes (CNPs; Garnelo et al., 2018a) are attractive meta-learning models which produce well-calibrated predictions and are trainable via a simple maximum likelihood procedure. Although CNPs have many advantages, they…

Existing image restoration methods mostly leverage the posterior distribution of natural images. However, they often assume known degradation and also require supervised training, which restricts their adaptation to complex real…

计算机视觉与模式识别 · 计算机科学 2023-04-05 Ben Fei , Zhaoyang Lyu , Liang Pan , Junzhe Zhang , Weidong Yang , Tianyue Luo , Bo Zhang , Bo Dai

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

机器学习 · 计算机科学 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Exponential random graph models (ERGMs) are flexible probabilistic frameworks to model statistical networks through a variety of network summary statistics. Conventional Bayesian estimation for ERGMs involves iteratively exchanging with an…

统计方法学 · 统计学 2025-04-15 Yefeng Fan , Simon White

In the paper, we present a strategy for accelerating posterior inference for unknown inputs in time fractional diffusion models. In many inference problems, the posterior may be concentrated in a small portion of the entire prior support.…

数值分析 · 数学 2017-07-03 Lijian Jiang , Na Ou

We consider probabilistic multinomial probit classification using Gaussian process (GP) priors. The challenges with the multiclass GP classification are the integration over the non-Gaussian posterior distribution, and the increase of the…

机器学习 · 统计学 2013-03-28 Jaakko Riihimäki , Pasi Jylänki , Aki Vehtari

Diffusion models have recently emerged as powerful generative models in medical imaging. However, it remains a major challenge to combine these data-driven models with domain knowledge to guide brain imaging problems. In neuroimaging,…

Decoding brain signals has gained many attention and has found much applications in recent years such as Brain Computer Interfaces, communicating with controlling external devices using the user's intentions, occupies an emerging field with…

信号处理 · 电气工程与系统科学 2020-06-26 Mirfarid Musavian Ghazani , Anh Huy Phan

Recent progress in diffusion-based generative models has enabled high-quality image synthesis conditioned on diverse modalities. Extending such models to brain signals could deepen our understanding of human perception and mental…

信号处理 · 电气工程与系统科学 2025-11-25 Jeyoung Lee , Hochul Kang