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A set of curves or images of similar shape is an increasingly common functional data set collected in the sciences. Principal Component Analysis (PCA) is the most widely used technique to decompose variation in functional data. However, the…

Methodology · Statistics 2009-09-29 Rima Izem , J. S. Marron

Complex biological systems have been successfully modeled by biochemical and genetic interaction networks, typically gathered from high-throughput (HTP) data. These networks can be used to infer functional relationships between genes or…

Molecular Networks · Quantitative Biology 2015-04-13 Hyunghoon Cho , Bonnie Berger , Jian Peng

Dynamic inner principal component analysis (DiPCA) is a powerful method for the analysis of time-dependent multivariate data. DiPCA extracts dynamic latent variables that capture the most dominant temporal trends by solving a large-scale,…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Sungho Shin , Alex D. Smith , S. Joe Qin , Victor M. Zavala

Network data are commonly collected in a variety of applications, representing either directly measured or statistically inferred connections between features of interest. In an increasing number of domains, these networks are collected…

Machine Learning · Statistics 2022-09-05 Michael Weylandt , George Michailidis

A core task in multi-modal learning is to integrate information from multiple feature spaces (e.g., text and audio), offering modality-invariant essential representations of data. Recent research showed that, classical tools such as {\it…

Machine Learning · Computer Science 2024-10-02 Subash Timilsina , Sagar Shrestha , Xiao Fu

Recent work has demonstrated that large-scale, multi-animal models are powerful tools for characterizing the relationship between neural activity and behavior. Current large-scale approaches, however, focus exclusively on either predicting…

Recent advances in neural recording technology allow simultaneously recording action potentials from hundreds to thousands of neurons in awake, behaving animals. However, characterizing spike patterns in the resulting data, and linking…

Learning interpretable representations of neural dynamics at a population level is a crucial first step to understanding how observed neural activity relates to perception and behavior. Models of neural dynamics often focus on either…

Machine Learning · Statistics 2025-01-13 Noga Mudrik , Yenho Chen , Eva Yezerets , Christopher J. Rozell , Adam S. Charles

We present an algorithm, Decision-Directed Data Decomposition (D4), which decomposes a dataset into two components. The first contains most of the useful information for a specified supervised learning task. The second orthogonal component…

Machine Learning · Computer Science 2020-03-12 Brent D. Davis , Ethan Jackson , Daniel J. Lizotte

Systems neuroscience relies on two complementary views of neural data, characterized by single neuron tuning curves and analysis of population activity. These two perspectives combine elegantly in neural latent variable models that…

Clustering is a fundamental unsupervised representation learning task with wide application in computer vision and pattern recognition. Deep clustering utilizes deep neural networks to learn latent representation, which is suitable for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Wenhao Wu , Weiwei Wang , Shengjiang Kong

Inspired by the brain's information processing using binary spikes, spiking neural networks (SNNs) offer significant reductions in energy consumption and are more adept at incorporating multi-scale biological characteristics. In SNNs,…

Neural and Evolutionary Computing · Computer Science 2025-02-26 Yinqian Sun , Feifei Zhao , Zhuoya Zhao , Yi Zeng

Clustered Federated Learning has emerged as an effective approach for handling heterogeneous data across clients by partitioning them into clusters with similar or identical data distributions. However, most existing methods, including the…

Machine Learning · Computer Science 2026-03-03 Jonas Kirch , Sebastian Becker , Tiago Koketsu Rodrigues , Stefan Harmeling

As the complexity of our neural network models grow, so too do the data and computation requirements for successful training. One proposed solution to this problem is training on a distributed network of computational devices, thus…

Machine Learning · Computer Science 2020-05-22 Kyle Crandall , Dustin Webb

Representation learning is a widely adopted framework for learning in data-scarce environments, aiming to extract common features from related tasks. While centralized approaches have been extensively studied, decentralized methods remain…

Machine Learning · Computer Science 2025-12-30 Donghwa Kang , Shana Moothedath

Correlated component analysis as proposed by Dmochowski et al. (2012) is a tool for investigating brain process similarity in the responses to multiple views of a given stimulus. Correlated components are identified under the assumption…

Machine Learning · Statistics 2018-02-08 Simon Kamronn , Andreas Trier Poulsen , Lars Kai Hansen

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

Systems and Control · Computer Science 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

Unexpected stimuli induce "error" or "surprise" signals in the brain. The theory of predictive coding promises to explain these observations in terms of Bayesian inference by suggesting that the cortex implements variational inference in a…

Machine Learning · Statistics 2024-10-18 Eli Sennesh , Hao Wu , Tommaso Salvatori

Sensor-based human activity segmentation and recognition are two important and challenging problems in many real-world applications and they have drawn increasing attention from the deep learning community in recent years. Most of the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Furong Duan , Tao Zhu , Jinqiang Wang , Liming Chen , Huansheng Ning , Yaping Wan

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

Optimization and Control · Mathematics 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban