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Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

Machine Learning · Computer Science 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

Memory systems often organize user-agent interactions as retrievable external memory and are crucial for long-running agents by overcoming the limited context windows of LLMs. However, existing memory systems invoke LLMs to process every…

Computation and Language · Computer Science 2026-05-18 Zijie Dai , Shiyuan Deng , Sheng Guan , Yizhou Tian , Xin Yao , Xiao Yan , James Cheng

Non-negative matrix factorization (NMF) is the problem of determining two non-negative low rank factors $W$ and $H$, for the given input matrix $A$, such that $A \approx W H$. NMF is a useful tool for many applications in different domains…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-01 Ramakrishnan Kannan , Grey Ballard , Haesun Park

Motivated by an application in computational biology, we consider low-rank matrix factorization with $\{0,1\}$-constraints on one of the factors and optionally convex constraints on the second one. In addition to the non-convexity shared…

Machine Learning · Statistics 2014-01-24 Martin Slawski , Matthias Hein , Pavlo Lutsik

We propose Factorization Memory, an efficient recurrent neural network (RNN) architecture that achieves performance comparable to Transformer models on short-context language modeling tasks while also demonstrating superior generalization…

Computation and Language · Computer Science 2025-11-04 Lee Xiong , Maksim Tkachenko , Johanes Effendi , Ting Cai

Matrix factorization is a widely used approach for top-N recommendation and collaborative filtering. When implemented on implicit feedback data (such as clicks), a common heuristic is to upweight the observed interactions. This strategy has…

Information Retrieval · Computer Science 2025-10-14 Alex Ayoub , Samuel Robertson , Dawen Liang , Harald Steck , Nathan Kallus

Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Xinyuan Zhang , Xin Yuan , Lawrence Carin

Deep neural networks typically impose significant computational loads and memory consumption. Moreover, the large parameters pose constraints on deploying the model on edge devices such as embedded systems. Tensor decomposition offers a…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Yaping He , Linhao Jiang , Di Wu

In this paper, we present a compression approach based on the combination of low-rank matrix factorization and quantization training, to reduce complexity for neural network based acoustic event detection (AED) models. Our experimental…

Audio and Speech Processing · Electrical Eng. & Systems 2019-05-03 Bowen Shi , Ming Sun , Chieh-Chi Kao , Viktor Rozgic , Spyros Matsoukas , Chao Wang

Firms earning prediction plays a vital role in investment decisions, dividends expectation, and share price. It often involves multiple tensor-compatible datasets with non-linear multi-way relationships, spatiotemporal structures, and…

Machine Learning · Computer Science 2021-09-07 Ajim Uddin , Dan Zhou , Xinyuan Tao , Chia-Ching Chou , Dantong Yu

Solving constrained nonlinear programs (NLPs) is of great importance in various domains such as power systems, robotics, and wireless communication networks. One widely used approach for addressing NLPs is the interior point method (IPM).…

Optimization and Control · Mathematics 2024-10-22 Xi Gao , Jinxin Xiong , Akang Wang , Qihong Duan , Jiang Xue , Qingjiang Shi

Low-rankness plays an important role in traditional machine learning, but is not so popular in deep learning. Most previous low-rank network compression methods compress networks by approximating pre-trained models and re-training. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Kailing Guo , Zhenquan Lin , Canyang Chen , Xiaofen Xing , Fang Liu , Xiangmin Xu

LSTMs were introduced to combat vanishing gradients in simple RNNs by augmenting them with gated additive recurrent connections. We present an alternative view to explain the success of LSTMs: the gates themselves are versatile recurrent…

Computation and Language · Computer Science 2018-05-11 Omer Levy , Kenton Lee , Nicholas FitzGerald , Luke Zettlemoyer

We consider the problem of approximating an affinely structured matrix, for example a Hankel matrix, by a low-rank matrix with the same structure. This problem occurs in system identification, signal processing and computer algebra, among…

Numerical Analysis · Mathematics 2014-06-25 Mariya Ishteva , Konstantin Usevich , Ivan Markovsky

Matrix factorization (MF) discovers latent features from observations, which has shown great promises in the fields of collaborative filtering, data compression, feature extraction, word embedding, etc. While many problem-specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Wei Tan , Shiyu Chang , Liana Fong , Cheng Li , Zijun Wang , Liangliang Cao

Recurrent neural network (RNN) language models (LMs) and Long Short Term Memory (LSTM) LMs, a variant of RNN LMs, have been shown to outperform traditional N-gram LMs on speech recognition tasks. However, these models are computationally…

Machine Learning · Statistics 2017-11-16 Shankar Kumar , Michael Nirschl , Daniel Holtmann-Rice , Hank Liao , Ananda Theertha Suresh , Felix Yu

Large Language Models (LLMs) have recently been applied to reranking tasks in information retrieval, achieving strong performance. However, their high computational demands often hinder practical deployment. Existing studies evaluate the…

Computation and Language · Computer Science 2025-10-10 Zhiyuan Peng , Ting-ruen Wei , Tingyu Song , Yilun Zhao

Multivariate techniques based on engineered features have found wide adoption in the identification of jets resulting from hadronic top decays at the Large Hadron Collider (LHC). Recent Deep Learning developments in this area include the…

High Energy Physics - Experiment · Physics 2017-11-27 Shannon Egan , Wojciech Fedorko , Alison Lister , Jannicke Pearkes , Colin Gay

Neural networks have achieved tremendous success in a large variety of applications. However, their memory footprint and computational demand can render them impractical in application settings with limited hardware or energy resources. In…

Machine Learning · Computer Science 2022-10-19 Steffen Schotthöfer , Emanuele Zangrando , Jonas Kusch , Gianluca Ceruti , Francesco Tudisco
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