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We propose a generalized double Pareto prior for Bayesian shrinkage estimation and inferences in linear models. The prior can be obtained via a scale mixture of Laplace or normal distributions, forming a bridge between the Laplace and…

Methodology · Statistics 2015-03-19 Artin Armagan , David Dunson , Jaeyong Lee

Sparse learning has been widely studied to capture critical information from enormous data sources in the filed of system identification. Often, it is essential to understand internal working mechanisms of unknown systems (e.g. biological…

Signal Processing · Electrical Eng. & Systems 2020-08-11 Junlin Li , Wei Zhou , Cheng Cheng

Bayesian neural networks (BNNs) treat neural network weights as random variables, which aim to provide posterior uncertainty estimates and avoid overfitting by performing inference on the posterior weights. However, the selection of…

Machine Learning · Computer Science 2025-05-27 Tsai Hor Chan , Dora Yan Zhang , Guosheng Yin , Lequan Yu

Censored response variables--where outcomes are only partially observed due to known bounds--arise in numerous scientific domains and present serious challenges for regression analysis. The Tobit model, a classical solution for handling…

Methodology · Statistics 2025-05-14 The Tien Mai

The horseshoe prior is frequently employed in Bayesian analysis of high-dimensional models, and has been shown to achieve minimax optimal risk properties when the truth is sparse. While optimization-based algorithms for the extremely…

Computation · Statistics 2018-10-16 James E. Johndrow , Paulo Orenstein , Anirban Bhattacharya

This paper extends the horseshoe prior of Carvalho et al. (2010) to Bayesian quantile regression (HS-BQR) and provides a fast sampling algorithm for computation in high dimensions. The performance of the proposed HS-BQR is evaluated on…

Econometrics · Economics 2024-12-19 David Kohns , Tibor Szendrei

We propose SLoPe, a Double-Pruned Sparse Plus Lazy Low-rank Adapter Pretraining method for LLMs that improves the accuracy of sparse LLMs while accelerating their pretraining and inference and reducing their memory footprint. Sparse…

Machine Learning · Computer Science 2025-01-28 Mohammad Mozaffari , Amir Yazdanbakhsh , Zhao Zhang , Maryam Mehri Dehnavi

Spiking Neural Networks (SNN). SNNs are based on a more biologically inspired approach than usual artificial neural networks. Such models are characterized by complex dynamics between neurons and spikes. These are very sensitive to the…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Thomas Firmin , Pierre Boulet , El-Ghazali Talbi

Biologically inspired Spiking Neural Networks (SNNs) have attracted significant attention for their ability to provide extremely energy-efficient machine intelligence through event-driven operation and sparse activities. As artificial…

Neural and Evolutionary Computing · Computer Science 2023-04-25 Shaoyi Huang , Haowen Fang , Kaleel Mahmood , Bowen Lei , Nuo Xu , Bin Lei , Yue Sun , Dongkuan Xu , Wujie Wen , Caiwen Ding

An ensemble of neural networks is known to be more robust and accurate than an individual network, however usually with linearly-increased cost in both training and testing. In this work, we propose a two-stage method to learn Sparse…

Machine Learning · Statistics 2018-05-24 Yichi Zhang , Zhijian Ou

Bayesian hierarchical models have been demonstrated to provide efficient algorithms for finding sparse solutions to ill-posed inverse problems. The models comprise typically a conditionally Gaussian prior model for the unknown, augmented by…

Numerical Analysis · Mathematics 2023-03-31 Daniela Calvetti , Erkki Somersalo

Neural network sparsification is a promising avenue to save computational time and memory costs, especially in an age where many successful AI models are becoming too large to na\"ively deploy on consumer hardware. While much work has…

Machine Learning · Computer Science 2024-11-06 Rayen Dhahri , Alexander Immer , Betrand Charpentier , Stephan Günnemann , Vincent Fortuin

Many problems of low-level computer vision and image processing, such as denoising, deconvolution, tomographic reconstruction or super-resolution, can be addressed by maximizing the posterior distribution of a sparse linear model (SLM). We…

Machine Learning · Statistics 2010-08-16 Matthias W. Seeger , Hannes Nickisch

Ransomware attacks are increasing at an alarming rate, leading to large financial losses, unrecoverable encrypted data, data leakage, and privacy concerns. The prompt detection of ransomware attacks is required to minimize further damage,…

Cryptography and Security · Computer Science 2022-05-31 Jurijs Nazarovs , Jack W. Stokes , Melissa Turcotte , Justin Carroll , Itai Grady

The rising footprint of machine learning has led to a focus on imposing \emph{model sparsity} as a means of reducing computational and memory costs. For deep neural networks (DNNs), the state-of-the-art accuracy-vs-sparsity is achieved by…

Machine Learning · Computer Science 2024-09-02 Diyuan Wu , Ionut-Vlad Modoranu , Mher Safaryan , Denis Kuznedelev , Dan Alistarh

There have been many attempts to identify high-dimensional network features via multivariate approaches. Specifically, when the number of voxels or nodes, denoted as p, are substantially larger than the number of images, denoted as n, it…

Methodology · Statistics 2020-08-04 Moo K. Chung

Bayesian penalized regression techniques, such as the Bayesian lasso and the Bayesian horseshoe estimator, have recently received a significant amount of attention in the statistics literature. However, software implementing…

Computation · Statistics 2016-12-21 Enes Makalic , Daniel F. Schmidt

Works on lottery ticket hypothesis (LTH) and single-shot network pruning (SNIP) have raised a lot of attention currently on post-training pruning (iterative magnitude pruning), and before-training pruning (pruning at initialization). The…

In this paper, the use of the Generalized Beta Mixture (GBM) and Horseshoe distributions as priors in the Bayesian Compressive Sensing framework is proposed. The distributions are considered in a two-layer hierarchical model, making the…

Information Theory · Computer Science 2014-11-11 Zahra Sabetsarvestani , Hamidreza Amindavar

We introduce a new class of distributions named log-adjusted shrinkage priors for the analysis of sparse signals, which extends the three parameter beta priors by multiplying an additional log-term to their densities. The proposed prior has…

Methodology · Statistics 2020-01-28 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa
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