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Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Conventional recursive filtering approaches, designed for quantifying the state of an evolving uncertain dynamical system with intermittent observations, use a sequence of (i) an uncertainty propagation step followed by (ii) a step where…

Probability · Mathematics 2015-06-18 Wonjung Lee , Chris Farmer

Dimension reduction and data quantization are two important methods for reducing data complexity. In the paper, we study the methodology of first reducing data dimension by random projection and then quantizing the projections to ternary or…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Weizhi Lu , Mingrui Chen , Kai Guo , Weiyu Li

Decision trees are popular Classification and Regression tools and, when small-sized, easy to interpret. Traditionally, a greedy approach has been used to build the trees, yielding a very fast training process; however, controlling sparsity…

Optimization and Control · Mathematics 2020-02-24 Rafael Blanquero , Emilio Carrizosa , Cristina Molero-Río , Dolores Romero Morales

In this paper, we tested several sparse optimization algorithms based on the public dataset of the DREAM5 Gene Regulatory Network Inference Challenge. And we find that introducing 20% of the regulatory network as a priori known data can…

Molecular Networks · Quantitative Biology 2022-11-15 Jiashu Lou , Leyi Cui , Wenxuan Qiu

We present a novel approach to Bayesian inference and general Bayesian computation that is defined through a sequential decision loop. Our method defines a recursive partitioning of the sample space. It neither relies on gradients nor…

Machine Learning · Statistics 2021-06-10 Erik Bodin , Zhenwen Dai , Neill D. F. Campbell , Carl Henrik Ek

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

Methodology · Statistics 2025-12-18 Matteo Mori , Laura Anderlucci

Information projections are the key building block of variational inference algorithms and are used to approximate a target probabilistic model by projecting it onto a family of tractable distributions. In general, there is no guarantee on…

Machine Learning · Computer Science 2015-10-06 Lun-Kai Hsu , Tudor Achim , Stefano Ermon

Scoring systems are classification models that only require users to add, subtract and multiply a few meaningful numbers to make a prediction. These models are often used because they are practical and interpretable. In this paper, we…

Machine Learning · Statistics 2014-04-14 Berk Ustun , Stefano Tracà , Cynthia Rudin

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

Optimization and Control · Mathematics 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

In large venues like shopping malls and airports, knowledge on the indoor populations fuels applications such as business analytics, venue management, and safety control. In this work, we provide means of modeling populations in partitions…

Databases · Computer Science 2024-10-30 Xiao Li , Huan Li , Hua Lu , Christian S. Jensen

This paper is concerned with parameter identification problem for finite impulse response (FIR) systems with binary-valued observations under low computational complexity. Most of the existing algorithms under binary-valued observations…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Tianning Han , Ying Wang , Yanlong Zhao

Image classification is a challenging problem for computer in reality. Large numbers of methods can achieve satisfying performances with sufficient labeled images. However, labeled images are still highly limited for certain image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Hongfeng Li

We propose an efficient optimization algorithm for selecting a subset of training data to induce sparsity for Gaussian process regression. The algorithm estimates an inducing set and the hyperparameters using a single objective, either the…

Machine Learning · Computer Science 2013-11-12 Yanshuai Cao , Marcus A. Brubaker , David J. Fleet , Aaron Hertzmann

A compositional tree refers to a tree structure on a set of random variables where each random variable is a node and composition occurs at each non-leaf node of the tree. As a generalization of compositional data, compositional trees…

Methodology · Statistics 2021-04-20 Bingkai Wang , Brian S. Caffo , Xi Luo , Chin-Fu Liu , Andreia V. Faria , Michael I. Miller , Yi Zhao

Functional neuroimaging can measure the brain?s response to an external stimulus. It is used to perform brain mapping: identifying from these observations the brain regions involved. This problem can be cast into a linear supervised…

Machine Learning · Computer Science 2012-07-03 Gael Varoquaux , Alexandre Gramfort , Bertrand Thirion

Recent progress in robotic manipulation has dealt with the case of previously unknown objects in the context of relatively simple tasks, such as bin-picking. Existing methods for more constrained problems, however, such as deliberate…

Robotics · Computer Science 2020-06-30 Chaitanya Mitash , Rahul Shome , Bowen Wen , Abdeslam Boularias , Kostas Bekris

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

Information Theory · Computer Science 2009-03-31 Lianlin Li , Fang Li

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

Information Theory · Computer Science 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

Computer Vision and Pattern Recognition · Computer Science 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran