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Many transformations in deep learning architectures are sparsely connected. When such transformations cannot be designed by hand, they can be learned, even through plain backpropagation, for instance in attention mechanisms. However, during…

Machine Learning · Statistics 2018-10-23 Peter Bloem

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

Data Structures and Algorithms · Computer Science 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

Machine Learning · Computer Science 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

Top-k sparsification has recently been widely used to reduce the communication volume in distributed deep learning. However, due to the Sparse Gradient Accumulation (SGA) dilemma, the performance of top-k sparsification still has…

Machine Learning · Computer Science 2024-02-26 Minjun Zhao , Yichen Yin , Yuren Mao , Qing Liu , Lu Chen , Yunjun Gao

In this work, we propose a Bayesian type sparse deep learning algorithm. The algorithm utilizes a set of spike-and-slab priors for the parameters in the deep neural network. The hierarchical Bayesian mixture will be trained using an…

Numerical Analysis · Mathematics 2021-03-17 Yating Wang , Wei Deng , Lin Guang

From the point of view of the human brain, continual learning can perform various tasks without mutual interference. An effective way to reduce mutual interference can be found in sparsity and selectivity of neurons. According to Aljundi et…

Machine Learning · Computer Science 2024-10-04 Jin Hyun Park

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

The goal in network state prediction (NSP) is to classify the global state (label) associated with features embedded in a graph. This graph structure encoding feature relationships is the key distinctive aspect of NSP compared to classical…

Machine Learning · Computer Science 2019-04-02 Lin Zhang , Petko Bogdanov

Prototype-driven text generation uses non-parametric models that first choose from a library of sentence "prototypes" and then modify the prototype to generate the output text. While effective, these methods are inefficient at test time as…

Computation and Language · Computer Science 2020-11-05 Junxian He , Taylor Berg-Kirkpatrick , Graham Neubig

In genomic analysis, biomarker discovery, image recognition, and other systems involving machine learning, input variables can often be organized into different groups by their source or semantic category. Eliminating some groups of…

Machine Learning · Computer Science 2019-12-02 Beibin Li , Nicholas Nuechterlein , Erin Barney , Caitlin Hudac , Pamela Ventola , Linda Shapiro , Frederick Shic

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

Latent dynamical models are commonly used to learn the distribution of a latent dynamical process that represents a sequence of noisy data samples. However, producing samples from such models with high fidelity is challenging due to the…

Machine Learning · Computer Science 2023-08-17 Mohammad R. Rezaei

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

Neural network based generative models with discriminative components are a powerful approach for semi-supervised learning. However, these techniques a) cannot account for model uncertainty in the estimation of the model's discriminative…

Machine Learning · Statistics 2017-06-30 Jonathan Gordon , José Miguel Hernández-Lobato

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

Computer Vision and Pattern Recognition · Computer Science 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

Motivated by extreme multi-label classification applications, we consider training deep learning models over sparse data in multi-GPU servers. The variance in the number of non-zero features across training batches and the intrinsic GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Yujing Ma , Florin Rusu , Kesheng Wu , Alexander Sim

Recently, generative graph models have shown promising results in learning graph representations through self-supervised methods. However, most existing generative graph representation learning (GRL) approaches rely on random masking across…

Machine Learning · Computer Science 2026-05-08 Xinyue Hu , Zhibin Duan , Xinyang Liu , Yuxin Li , Bo Chen , Chaojie Wang , Yilin He , Hongwei Liu , Mingyuan Zhou
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