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This study introduces Variational Automatic Relevance Determination (VARD), a novel approach tailored for fitting sparse additive regression models in high-dimensional settings. VARD distinguishes itself by its ability to independently…

Methodology · Statistics 2024-11-04 Zihe Liu , Diptarka Saha , Feng Liang

This work considers methods for imposing sparsity in Bayesian regression with applications in nonlinear system identification. We first review automatic relevance determination (ARD) and analytically demonstrate the need to additional…

Machine Learning · Statistics 2021-02-24 Samuel H. Rudy , Themistoklis P. Sapsis

Sparse recovery in linear systems underpins applications from signal processing to high-dimensional regression. Sparse Bayesian Learning, grounded in the principle of automatic relevance determination (ARD), offers a practical Bayesian…

This study introduces a novel approach for inferring social network structures using Aggregate Relational Data (ARD), addressing the challenge of limited detailed network data availability. By integrating ARD with variational approximation…

Econometrics · Economics 2025-09-04 Xunkang Tian

A recurring problem when building probabilistic latent variable models is regularization and model selection, for instance, the choice of the dimensionality of the latent space. In the context of belief networks with latent variables, this…

Machine Learning · Statistics 2015-08-27 Theofanis Karaletsos , Gunnar Rätsch

We study reasoning tasks through a framework that integrates auto-regressive (AR) and non-autoregressive (NAR) language models. AR models, which generate text sequentially, excel at producing coherent outputs but often suffer from slow…

Artificial Intelligence · Computer Science 2025-09-26 Qihang Ai , Haiyun Jiang

Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR)…

Methodology · Statistics 2024-12-30 Tingting Li , Hao Wang

Modern large-scale recommender systems employ multi-stage ranking funnel (Retrieval, Pre-ranking, Ranking) to balance engagement and computational constraints (latency, CPU). However, the initial retrieval stage, often relying on efficient…

Information Retrieval · Computer Science 2025-06-10 Amit Jaspal , Qian Dang , Ajantha Ramineni

In this paper, we propose a probabilistic model with automatic relevance determination (ARD) for learning interpolative decomposition (ID), which is commonly used for low-rank approximation, feature selection, and identifying hidden…

Machine Learning · Computer Science 2022-06-30 Jun Lu

The presented work investigates a sparse Bayesian incremental automatic relevance determination (IARD) algorithm in the context of multipath parameter estimation in a super-resolution regime. The corresponding estimation problem is highly…

Applications · Statistics 2015-03-09 Dmitriy Shutin , Nicolas Schneckenburger

In many problem settings, parameter vectors are not merely sparse but dependent in such a way that non-zero coefficients tend to cluster together. We refer to this form of dependency as "region sparsity." Classical sparse regression…

Machine Learning · Statistics 2019-01-28 Anqi Wu , Oluwasanmi Koyejo , Jonathan W. Pillow

While fine-tuning is a de facto standard method for training deep neural networks, it still suffers from overfitting when using small target datasets. Previous methods improve fine-tuning performance by maintaining knowledge of the source…

Machine Learning · Computer Science 2024-03-18 Shin'ya Yamaguchi , Sekitoshi Kanai , Kazuki Adachi , Daiki Chijiwa

Network regularization is an effective tool for incorporating structural prior knowledge to learn coherent models over networks, and has yielded provably accurate estimates in applications ranging from spatial economics to neuroimaging…

Machine Learning · Computer Science 2020-06-02 Hongyuan You , Furkan Kocayusufoglu , Ambuj K. Singh

Collecting complete network data is expensive, time-consuming, and often infeasible. Aggregated Relational Data (ARD), which capture information about a social network by asking a respondent questions of the form ``How many people with…

Methodology · Statistics 2022-10-24 Emily Breza , Arun G. Chandrasekhar , Shane Lubold , Tyler H. McCormick , Mengjie Pan

We propose a novel mechanism for real-time (human-in-the-loop) feedback focused on false positive reduction to enhance anomaly detection models. It was designed for the lightweight deployment of a behavioral network anomaly detection model.…

Machine Learning · Computer Science 2025-02-28 Sam Pastoriza , Iman Yousfi , Christopher Redino , Marc Vucovich , Abdul Rahman , Sal Aguinaga , Dhruv Nandakumar

Financial markets are notoriously complex environments, presenting vast amounts of noisy, yet potentially informative data. We consider the problem of forecasting financial time series from a wide range of information sources using online…

Statistical Finance · Quantitative Finance 2018-07-12 Sid Ghoshal , Stephen Roberts

Causal structure learning, also known as causal discovery, aims to estimate causal relationships between variables as a form of a causal directed acyclic graph (DAG) from observational data. One of the major frameworks is the order-based…

Machine Learning · Statistics 2026-02-18 Kentaro Kanamori , Hirofumi Suzuki , Takuya Takagi

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

Machine Learning · Computer Science 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

Within the framework of the augmented Lagrangian (AL), we propose a novel distributed optimization method, termed Distributed Augmented Lagrangian Decomposition (DALD), and provide a rigorous convergence proof for its standard version. To…

Optimization and Control · Mathematics 2025-10-07 Wenyou Guo , Ting Qu , Hainan Huang , Yafeng Wei

Radar sensors offer power-efficient solutions for always-on smart devices, but processing the data streams on resource-constrained embedded platforms remains challenging. This paper presents novel techniques that leverage the temporal…

Machine Learning · Computer Science 2023-09-13 Max Sponner , Julius Ott , Lorenzo Servadei , Bernd Waschneck , Robert Wille , Akash Kumar
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