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Related papers: Online Supervised Subspace Tracking

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Monocular 3D object tracking aims to estimate temporally consistent 3D object poses across video frames, enabling autonomous agents to reason about scene dynamics. However, existing state-of-the-art approaches are fully supervised and rely…

Robotics · Computer Science 2026-03-20 Nikhil Gosala , B. Ravi Kiran , Senthil Yogamani , Abhinav Valada

We settle the complexity of dynamic least-squares regression (LSR), where rows and labels $(\mathbf{A}^{(t)}, \mathbf{b}^{(t)})$ can be adaptively inserted and/or deleted, and the goal is to efficiently maintain an $\epsilon$-approximate…

Data Structures and Algorithms · Computer Science 2023-04-07 Shunhua Jiang , Binghui Peng , Omri Weinstein

Underwater communication signals typically suffer from distortion due to motion-induced Doppler. Especially in shallow water environments, recovering the signal is challenging due to the time-varying Doppler effects distorting each path…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Jae Won Choi , Girish Chowdhary , Andrew C. Singer , Hari Vishnu , Amir Weiss , Gregory W. Wornell , Grant Deane

Recent developments for Semi-Supervised Object Detection (SSOD) have shown the promise of leveraging unlabeled data to improve an object detector. However, thus far these methods have assumed that the unlabeled data does not contain…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Yen-Cheng Liu , Chih-Yao Ma , Xiaoliang Dai , Junjiao Tian , Peter Vajda , Zijian He , Zsolt Kira

Online learning algorithms update models via one sample per iteration, thus efficient to process large-scale datasets and useful to detect malicious events for social benefits, such as disease outbreak and traffic congestion on the fly.…

Machine Learning · Computer Science 2019-05-28 Baojian Zhou , Feng Chen , Yiming Ying

This work presents GROUSE (Grassmanian Rank-One Update Subspace Estimation), an efficient online algorithm for tracking subspaces from highly incomplete observations. GROUSE requires only basic linear algebraic manipulations at each…

Information Theory · Computer Science 2011-07-14 Laura Balzano , Robert Nowak , Benjamin Recht

We consider a natural model of online preference aggregation, where sets of preferred items $R_1, R_2, \ldots, R_t$ along with a demand for $k_t$ items in each $R_t$, appear online. Without prior knowledge of $(R_t, k_t)$, the learner…

Machine Learning · Computer Science 2020-11-06 Dimitris Fotakis , Thanasis Lianeas , Georgios Piliouras , Stratis Skoulakis

Scaling multinomial logistic regression to datasets with very large number of data points and classes is challenging. This is primarily because one needs to compute the log-partition function on every data point. This makes distributing the…

Machine Learning · Computer Science 2018-08-07 Parameswaran Raman , Sriram Srinivasan , Shin Matsushima , Xinhua Zhang , Hyokun Yun , S. V. N. Vishwanathan

Neural networks are predominantly trained using gradient-based methods, yet in many applications their final predictions remain far from the accuracy attainable within the model's expressive capacity. We introduce Linearized Subspace…

Machine Learning · Computer Science 2026-01-21 Wenbo Cao , Weiwei Zhang

In this article, we propose a general nonlinear sufficient dimension reduction (SDR) framework when both the predictor and response lie in some general metric spaces. We construct reproducing kernel Hilbert spaces whose kernels are fully…

Statistics Theory · Mathematics 2022-06-24 Joni Virta , Kuang-Yao Lee , Lexin Li

Deep neural networks (DNNs) usually contain massive parameters, but there is redundancy such that it is guessed that the DNNs could be trained in low-dimensional subspaces. In this paper, we propose a Dynamic Linear Dimensionality Reduction…

Machine Learning · Computer Science 2021-08-17 Tao Li , Lei Tan , Qinghua Tao , Yipeng Liu , Xiaolin Huang

Sufficient dimension reduction (SDR) in regression, which reduces the dimension by replacing original predictors with a minimal set of their linear combinations without loss of information, is very helpful when the number of predictors is…

Statistics Theory · Mathematics 2012-11-15 Xin Chen , Changliang Zou , R. Dennis Cook

Online forecasting under a changing environment has been a problem of increasing importance in many real-world applications. In this paper, we consider the meta-algorithm presented in \citet{zhang2017dynamic} combined with different…

Machine Learning · Computer Science 2020-11-16 Anant Raj , Pierre Gaillard , Christophe Saad

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

Optimization and Control · Mathematics 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

We present a new methodology for sufficient dimension reduction (SDR). Our methodology derives directly from the formulation of SDR in terms of the conditional independence of the covariate $X$ from the response $Y$, given the projection of…

Statistics Theory · Mathematics 2009-08-14 Kenji Fukumizu , Francis R. Bach , Michael I. Jordan

Omnidirectional images (ODIs) have obtained lots of research interest for immersive experiences. Although ODIs require extremely high resolution to capture details of the entire scene, the resolutions of most ODIs are insufficient. Previous…

Image and Video Processing · Electrical Eng. & Systems 2023-02-10 Fanghua Yu , Xintao Wang , Mingdeng Cao , Gen Li , Ying Shan , Chao Dong

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

Machine Learning · Statistics 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis

The limited and dynamically varied resources on edge devices motivate us to deploy an optimized deep neural network that can adapt its sub-networks to fit in different resource constraints. However, existing works often build sub-networks…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Zhongnan Qu , Syed Shakib Sarwar , Xin Dong , Yuecheng Li , Ekin Sumbul , Barbara De Salvo

An open challenge in supervised learning is \emph{conceptual drift}: a data point begins as classified according to one label, but over time the notion of that label changes. Beyond linear autoregressive models, transfer and meta learning…

Optimization and Control · Mathematics 2019-09-13 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat , Brian M. Sadler

Recent work has shown that offline reinforcement learning (RL) can be formulated as a sequence modeling problem (Chen et al., 2021; Janner et al., 2021) and solved via approaches similar to large-scale language modeling. However, any…

Machine Learning · Computer Science 2022-07-14 Qinqing Zheng , Amy Zhang , Aditya Grover