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In recommendation systems, items are likely to be exposed to various users and we would like to learn about the familiarity of a new user with an existing item. This can be formulated as an anomaly detection (AD) problem distinguishing…

Machine Learning · Computer Science 2022-09-22 Ke Bai , Aonan Zhang , Zhizhong Li , Ricardo Heano , Chong Wang , Lawrence Carin

Representation disentanglement aims at learning interpretable features, so that the output can be recovered or manipulated accordingly. While existing works like infoGAN and AC-GAN exist, they choose to derive disjoint attribute code for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Shang-Fu Chen , Jia-Wei Yan , Ya-Fan Su , Yu-Chiang Frank Wang

The state-of-the-art dimensionality reduction approaches largely rely on complicated optimization procedures. On the other hand, closed-form approaches requiring merely eigen-decomposition do not have enough sophistication and nonlinearity.…

Machine Learning · Computer Science 2023-08-14 Chengrui Li , Anqi Wu

Multimodal regression aims to predict a continuous target from heterogeneous input sources and typically relies on fusion strategies such as early or late fusion. However, existing methods lack principled tools to disentangle and quantify…

Machine Learning · Computer Science 2025-12-29 Zhaozhao Ma , Shujian Yu

Despite the data labeling cost for the object detection tasks being substantially more than that of the classification tasks, semi-supervised learning methods for object detection have not been studied much. In this paper, we propose an…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Jisoo Jeong , Vikas Verma , Minsung Hyun , Juho Kannala , Nojun Kwak

An important component of autoencoders is the method by which the information capacity of the latent representation is minimized or limited. In this work, the rank of the covariance matrix of the codes is implicitly minimized by relying on…

Machine Learning · Computer Science 2020-10-15 Li Jing , Jure Zbontar , Yann LeCun

Axis-aligned subspace clustering generally entails searching through enormous numbers of subspaces (feature combinations) and evaluation of cluster quality within each subspace. In this paper, we tackle the problem of identifying subsets of…

Machine Learning · Computer Science 2019-07-17 Ruben Becker , Imane Hafnaoui , Michael E. Houle , Pan Li , Arthur Zimek

In this paper, we consider the problem of model reduction of large scale systems, such as those obtained through the discretization of PDEs. We propose a randomized proper orthogonal decomposition (RPOD) technique to obtain the reduced…

Dynamical Systems · Mathematics 2013-12-17 Dan Yu , Suman Chakravorty

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

Despite impressive advances in simultaneous localization and mapping, dense robotic mapping remains challenging due to its inherent nature of being a high-dimensional inference problem. In this paper, we propose a dense semantic robotic…

Robotics · Computer Science 2017-09-26 Lu Gan , Maani Ghaffari Jadidi , Steven A. Parkison , Ryan M. Eustice

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson

Intrusion detection systems (IDS) are widely studied by researchers nowadays due to the dramatic growth in network-based technologies. Policy violations and unauthorized access is in turn increasing which makes intrusion detection systems…

Networking and Internet Architecture · Computer Science 2015-07-27 Yasmen Wahba , Ehab ElSalamouny , Ghada ElTaweel

The manuscript describes efficient algorithms for the computation of the CUR and ID decompositions. The methods used are based on simple modifications to the classical truncated pivoted QR decomposition, which means that highly optimized…

Numerical Analysis · Mathematics 2016-10-20 Sergey Voronin , Per-Gunnar Martinsson

Intrinsic Image Decomposition (IID) is a challenging and interesting computer vision problem with various applications in several fields. We present novel semantic priors and an integrated approach for single image IID that involves…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Saurabh Saini , P. J. Narayanan

To analyze high-dimensional and complex data in the real world, deep generative models, such as variational autoencoder (VAE) embed data in a low-dimensional space (latent space) and learn a probabilistic model in the latent space. However,…

Machine Learning · Computer Science 2020-09-01 Keizo Kato , Jing Zhou , Tomotake Sasaki , Akira Nakagawa

This paper presents analytical techniques to improve redundancy and relevance assessment for precise selection of features in practical multi-class raw datasets. We propose a matrix-rank based $k$-medoids algorithm that guarantees to output…

Signal Processing · Electrical Eng. & Systems 2021-07-05 Terry Guo , Animesh Dahal , Ambareen Siraj

The Cholesky decomposition is a fundamental tool for solving linear systems with symmetric and positive definite matrices which are ubiquitous in linear algebra, optimization, and machine learning. Its numerical stability can be improved by…

Machine Learning · Computer Science 2025-07-29 Filip de Roos , Fabio Muratore

Low-rank matrix approximation play a ubiquitous role in various applications such as image processing, signal processing, and data analysis. Recently, random algorithms of low-rank matrix approximation have gained widespread adoption due to…

Numerical Analysis · Mathematics 2024-04-29 Weijie Shen , Weiwei Xu , Lei Zhu

This study introduces a novel approach for inferring social network structures using Aggregate Relational Data (ARD), addressing the challenge of limited detailed network data availability. By integrating ARD with variational approximation…

Econometrics · Economics 2025-09-04 Xunkang Tian

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

Numerical Analysis · Mathematics 2025-12-22 Kingsley Yeon , Mihai Anitescu