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We study differentially private model training with stochastic gradient descent under learning rate scheduling and correlated noise. Although correlated noise, in particular via matrix factorizations, has been shown to improve accuracy,…

Machine Learning · Computer Science 2026-05-12 Nikita P. Kalinin , Joel Daniel Andersson

We introduce a tensor-based model of shared representation for meta-learning from a diverse set of tasks. Prior works on learning linear representations for meta-learning assume that there is a common shared representation across different…

Machine Learning · Computer Science 2022-01-20 Samuel Deng , Yilin Guo , Daniel Hsu , Debmalya Mandal

Despite the outstanding performance of deep neural networks in different applications, they are still computationally extensive and require a great number of memories. This motivates more research on reducing the resources required for…

Machine Learning · Computer Science 2023-01-09 Alireza Bordbar , Mohammad Hossein Kahaei

Since many real-world data can be described from multiple views, multi-view learning has attracted considerable attention. Various methods have been proposed and successfully applied to multi-view learning, typically based on matrix…

Machine Learning · Computer Science 2020-12-03 Haonan Huang , Naiyao Liang , Wei Yan , Zuyuan Yang , Weijun Sun

We analyse the matrix factorization problem. Given a noisy measurement of a product of two matrices, the problem is to estimate back the original matrices. It arises in many applications such as dictionary learning, blind matrix…

Numerical Analysis · Computer Science 2016-07-19 Yoshiyuki Kabashima , Florent Krzakala , Marc Mézard , Ayaka Sakata , Lenka Zdeborová

A fundamental feature of human intelligence is the ability to infer high-level abstractions from low-level sensory data. An essential component of such inference is the ability to discover modularized generative mechanisms. Despite many…

Machine Learning · Computer Science 2023-06-08 Peyman Sheikholharam Mashhadi , Slawomir Nowaczyk

We present Factorbird, a prototype of a parameter server approach for factorizing large matrices with Stochastic Gradient Descent-based algorithms. We designed Factorbird to meet the following desiderata: (a) scalability to tall and wide…

Machine Learning · Computer Science 2014-11-04 Sebastian Schelter , Venu Satuluri , Reza Zadeh

The field of meta-learning has seen a dramatic rise in interest in recent years. In existing meta-learning approaches, learning tasks for training meta-models are usually collected from public datasets, which brings the difficulty of…

Machine Learning · Computer Science 2021-11-23 Zhaoyang Hai , Xiabi Liu , Yuchen Ren , Nouman Q. Soomro

The sparse factorization of a large matrix is fundamental in modern statistical learning. In particular, the sparse singular value decomposition and its variants have been utilized in multivariate regression, factor analysis, biclustering,…

Machine Learning · Statistics 2020-03-19 Kun Chen , Ruipeng Dong , Wanwan Xu , Zemin Zheng

In few-shot learning, classifiers are expected to generalize to unseen classes given only a small number of instances of each new class. One of the popular solutions to few-shot learning is metric-based meta-learning. However, it highly…

Machine Learning · Computer Science 2025-11-18 Qiuhao Zeng

Matrix factorization is one of the best approaches for collaborative filtering, because of its high accuracy in presenting users and items latent factors. The main disadvantages of matrix factorization are its complexity, and being very…

Machine Learning · Computer Science 2017-08-10 Mostafa A. Shehata , Mohammad Nassef , Amr A. Badr

We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

Machine Learning · Statistics 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

The ability to learn new concepts with small amounts of data is a critical aspect of intelligence that has proven challenging for deep learning methods. Meta-learning has emerged as a promising technique for leveraging data from previous…

Machine Learning · Computer Science 2020-04-29 Mingzhang Yin , George Tucker , Mingyuan Zhou , Sergey Levine , Chelsea Finn

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

Machine Learning · Computer Science 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

Nonnegative matrix factorization (NMF) is a popular method used to reduce dimensionality in data sets whose elements are nonnegative. It does so by decomposing the data set of interest, $\mathbf{X}$, into two lower rank nonnegative matrices…

Methodology · Statistics 2021-07-05 Phillip Shreeves , Jeffrey L. Andrews , Xinchen Deng , Ramie Ali-Adeeb , Andrew Jirasek

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

Social and Information Networks · Computer Science 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

A new necessary and sufficient condition for the existence of minor left prime factorizations of multivariate polynomial matrices without full row rank is presented. The key idea is to establish a relationship between a matrix and its full…

Symbolic Computation · Computer Science 2020-10-15 Dong Lu , Dingkang Wang , Fanghui Xiao

We consider a variant of matrix completion where entries are revealed in a biased manner. We wish to understand the extent to which such bias can be exploited in improving predictions. Towards that, we propose a natural model where the…

Machine Learning · Computer Science 2025-01-03 Yassir Jedra , Sean Mann , Charlotte Park , Devavrat Shah

We present a new distributed representation in deep neural nets wherein the information is represented in native form as a matrix. This differs from current neural architectures that rely on vector representations. We consider matrices as…

Machine Learning · Computer Science 2018-02-06 Kien Do , Truyen Tran , Svetha Venkatesh

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

Methodology · Statistics 2020-02-10 Michael J. O'Connell , Eric F. Lock