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We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Exploiting sparsity enables hardware systems to run neural networks faster and more energy-efficiently. However, most prior sparsity-centric optimization techniques only accelerate the forward pass of neural networks and usually require an…

Machine Learning · Computer Science 2018-06-05 Maohua Zhu , Jason Clemons , Jeff Pool , Minsoo Rhu , Stephen W. Keckler , Yuan Xie

Sparse reduced-rank regression is an important tool to uncover meaningful dependence structure between large numbers of predictors and responses in many big data applications such as genome-wide association studies and social media…

Methodology · Statistics 2016-08-15 Mohammad Taha Bahadori , Zemin Zheng , Yan Liu , Jinchi Lv

We show how fitting sparse linear models over learned deep feature representations can lead to more debuggable neural networks. These networks remain highly accurate while also being more amenable to human interpretation, as we demonstrate…

Machine Learning · Computer Science 2021-05-12 Eric Wong , Shibani Santurkar , Aleksander Mądry

Sparse variational approximations allow for principled and scalable inference in Gaussian Process (GP) models. In settings where several GPs are part of the generative model, theses GPs are a posteriori coupled. For many applications such…

Machine Learning · Statistics 2017-11-30 Vincent Adam

Variable selection techniques have become increasingly popular amongst statisticians due to an increased number of regression and classification applications involving high-dimensional data where we expect some predictors to be unimportant.…

Methodology · Statistics 2010-09-20 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

One of the major issues in signed networks is to use network structure to predict the missing sign of an edge. In this paper, we introduce a novel probabilistic approach for the sign prediction problem. The main characteristic of the…

Social and Information Networks · Computer Science 2018-02-20 Amin Javari , HongXiang Qiu , Elham Barzegaran , Mahdi Jalili , Kevin Chen-Chuan Chang

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

Machine Learning · Computer Science 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

In this paper we consider sparse and identifiable linear latent variable (factor) and linear Bayesian network models for parsimonious analysis of multivariate data. We propose a computationally efficient method for joint parameter and model…

Machine Learning · Statistics 2011-06-24 Ricardo Henao , Ole Winther

Deep structured models are widely used for tasks like semantic segmentation, where explicit correlations between variables provide important prior information which generally helps to reduce the data needs of deep nets. However, current…

Machine Learning · Computer Science 2018-11-02 Colin Graber , Ofer Meshi , Alexander Schwing

Multivariate time series forecasting is widely applied in fields such as transportation, energy, and finance. However, the data commonly suffers from issues of multi-scale characteristics, weak correlations, and noise interference, which…

Machine Learning · Computer Science 2026-03-02 Xiang Ao

In this paper, we study two important problems in the automated design of neural networks -- Hyper-parameter Optimization (HPO), and Neural Architecture Search (NAS) -- through the lens of sparse recovery methods. In the first part of this…

Machine Learning · Computer Science 2020-07-09 Minsu Cho , Mohammadreza Soltani , Chinmay Hegde

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

Methodology · Statistics 2023-03-14 Sifan Liu , Snigdha Panigrahi

Deep learning can help uncover patterns in resting-state functional Magnetic Resonance Imaging (rs-fMRI) associated with psychiatric disorders and personal traits. Yet the problem of interpreting deep learning findings is rarely more…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Camila González , Yanis Miraoui , Yiran Fan , Ehsan Adeli , Kilian M. Pohl

Deep convolutional neural networks have liberated its extraordinary power on various tasks. However, it is still very challenging to deploy state-of-the-art models into real-world applications due to their high computational complexity. How…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Zehao Huang , Naiyan Wang

We develop an approach to growing deep network architectures over the course of training, driven by a principled combination of accuracy and sparsity objectives. Unlike existing pruning or architecture search techniques that operate on…

Machine Learning · Computer Science 2023-06-07 Xin Yuan , Pedro Savarese , Michael Maire

\textit{Differentiable ARchiTecture Search} (DARTS) has recently become the mainstream of neural architecture search (NAS) due to its efficiency and simplicity. With a gradient-based bi-level optimization, DARTS alternately optimizes the…

Machine Learning · Computer Science 2021-06-22 Miao Zhang , Steven Su , Shirui Pan , Xiaojun Chang , Ehsan Abbasnejad , Reza Haffari

"Sparse" neural networks, in which relatively few neurons or connections are active, are common in both machine learning and neuroscience. Whereas in machine learning, "sparsity" is related to a penalty term that leads to some connecting…

Neural and Evolutionary Computing · Computer Science 2021-08-19 Luca Manneschi , Andrew C. Lin , Eleni Vasilaki

Reasoning language models have demonstrated remarkable capabilities on challenging tasks by generating elaborate chain-of-thought (CoT) solutions. However, such lengthy generation shifts the inference bottleneck from compute-bound to…

We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

Machine Learning · Statistics 2016-06-24 Christos Louizos , Max Welling