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Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

最优化与控制 · 数学 2012-08-13 Nicolas Gillis , François Glineur

We present Neural Bayesian Filtering (NBF), an algorithm for maintaining distributions over hidden states, called beliefs, in partially observable systems. NBF is trained to find a good latent representation of the beliefs induced by a…

The increasing use of foundation models highlights the urgent need to address and eliminate implicit biases present in them that arise during pretraining. In this paper, we introduce PEFTDebias, a novel approach that employs…

机器学习 · 计算机科学 2023-12-04 Sumit Agarwal , Aditya Srikanth Veerubhotla , Srijan Bansal

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

机器学习 · 计算机科学 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

Nonnegative Matrix Factorization (NMF), first proposed in 1994 for data analysis, has received successively much attention in a great variety of contexts such as data mining, text clustering, computer vision, bioinformatics, etc. In this…

数值分析 · 数学 2019-03-05 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

Most existing word embedding methods can be categorized into Neural Embedding Models and Matrix Factorization (MF)-based methods. However some models are opaque to probabilistic interpretation, and MF-based methods, typically solved using…

计算与语言 · 计算机科学 2015-08-18 Shaohua Li , Jun Zhu , Chunyan Miao

Nonnegative Matrix Factorization (NMF) is a widely-used data analysis technique, and has yielded impressive results in many real-world tasks. Generally, existing NMF methods represent each sample with several centroids, and find the optimal…

图像与视频处理 · 电气工程与系统科学 2021-03-26 Mulin Chen , Xuelong Li

Normalizing flows (NFs) have become a prominent method for deep generative models that allow for an analytic probability density estimation and efficient synthesis. However, a flow-based network is considered to be inefficient in parameter…

机器学习 · 计算机科学 2020-10-26 Sang-gil Lee , Sungwon Kim , Sungroh Yoon

We propose a deep factorization model for typographic analysis that disentangles content from style. Specifically, a variational inference procedure factors each training glyph into the combination of a character-specific content embedding…

机器学习 · 计算机科学 2020-05-19 Nikita Srivatsan , Jonathan T. Barron , Dan Klein , Taylor Berg-Kirkpatrick

Feature engineering has become one of the most important steps to improve model prediction performance, and to produce quality datasets. However, this process requires non-trivial domain-knowledge which involves a time-consuming process.…

Non-negative matrix factorization (NMF) is widely used for dimensionality reduction and interpretable analysis, but standard formulations are unsupervised and cannot directly exploit class labels. Existing supervised or semi-supervised…

机器学习 · 计算机科学 2025-10-14 Kenichi Satoh

Approximate Natural Gradient Descent (NGD) methods are an important family of optimisers for deep learning models, which use approximate Fisher information matrices to pre-condition gradients during training. The empirical Fisher (EF)…

机器学习 · 计算机科学 2024-11-07 Xiaodong Wu , Wenyi Yu , Chao Zhang , Philip Woodland

Model-based methods and deep neural networks have both been tremendously successful paradigms in machine learning. In model-based methods, problem domain knowledge can be built into the constraints of the model, typically at the expense of…

机器学习 · 计算机科学 2014-11-21 John R. Hershey , Jonathan Le Roux , Felix Weninger

Counterfactual explanation methods have recently received significant attention for explaining CNN-based image classifiers due to their ability to provide easily understandable explanations that align more closely with human reasoning.…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Syed Ali Tariq , Tehseen Zia

Nonnegative matrix factorization (NMF) is a popular model in the field of pattern recognition. It aims to find a low rank approximation for nonnegative data M by a product of two nonnegative matrices W and H. In general, NMF is NP-hard to…

机器学习 · 计算机科学 2021-09-07 Junjun Pan , Michael K. Ng

We propose a new variant of nonnegative matrix factorization (NMF), combining separability and sparsity assumptions. Separability requires that the columns of the first NMF factor are equal to columns of the input matrix, while sparsity…

机器学习 · 计算机科学 2020-06-16 Nicolas Nadisic , Arnaud Vandaele , Jeremy E. Cohen , Nicolas Gillis

A central goal for mechanistic interpretability has been to identify the right units of analysis in large language models (LLMs) that causally explain their outputs. While early work focused on individual neurons, evidence that neurons…

计算与语言 · 计算机科学 2026-05-05 Or Shafran , Atticus Geiger , Mor Geva

Dimensionality reduction methods for count data are critical to a wide range of applications in medical informatics and other fields where model interpretability is paramount. For such data, hierarchical Poisson matrix factorization (HPF)…

In this paper, we propose a provably correct algorithm for convolutive nonnegative matrix factorization (CNMF) under separability assumptions. CNMF is a convolutive variant of nonnegative matrix factorization (NMF), which functions as an…

机器学习 · 计算机科学 2019-11-15 Anthony Degleris , Nicolas Gillis

We present a novel game-theoretic formulation of Non-Negative Matrix Factorization (NNMF), a popular data-analysis method with many scientific and engineering applications. The game-theoretic formulation is shown to have favorable scaling…

计算机科学与博弈论 · 计算机科学 2021-04-13 Satpreet H. Singh