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The sum-rank metric provides a unifying framework that generalizes both the celebrated Hamming and rank metrics, and has found applications in areas such as network coding, distributed storage, and space-time coding. A central problem is to…

Information Theory · Computer Science 2026-05-01 Aida Abiad , Antonina P. Khramova , Sven C. Polak , Ferdinando Zullo

Diffusion maps (DM) constitute a classic dimension reduction technique, for data lying on or close to a (relatively) low-dimensional manifold embedded in a much larger dimensional space. The DM procedure consists in constructing a spectral…

Machine Learning · Statistics 2022-03-08 Shan Shan , Ingrid Daubechies

We introduce a Parametric Information Maximization (PIM) model for the Generalized Category Discovery (GCD) problem. Specifically, we propose a bi-level optimization formulation, which explores a parameterized family of objective functions,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Florent Chiaroni , Jose Dolz , Ziko Imtiaz Masud , Amar Mitiche , Ismail Ben Ayed

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

Optimization and Control · Mathematics 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros

Feature selection has drawn much attention over the last decades in machine learning because it can reduce data dimensionality while maintaining the original physical meaning of features, which enables better interpretability than feature…

Machine Learning · Computer Science 2022-09-27 Yiwen Liao , Jochen Rivoir , Raphaël Latty , Bin Yang

A common problem with segmentation of medical images using neural networks is the difficulty to obtain a significant number of pixel-level annotated data for training. To address this issue, we proposed a semi-supervised segmentation…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Ange Lou , Kareem Tawfik , Xing Yao , Ziteng Liu , Jack Noble

We study classes of Dynamic Programming (DP) algorithms which, due to their algebraic definitions, are closely related to coefficient extraction methods. DP algorithms can easily be modified to exploit sparseness in the DP table through…

Computational Complexity · Computer Science 2012-03-20 Petteri Kaski , Mikko Koivisto , Jesper Nederlof

The set-membership information fusion problem is investigated for general multisensor nonlinear dynamic systems. Compared with linear dynamic systems and point estimation fusion in mean squared error sense, it is a more challenging…

Information Theory · Computer Science 2017-02-20 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu

We present a finite-horizon optimization algorithm that extends the established concept of Dual Dynamic Programming (DDP) in two ways. First, in contrast to the linear costs, dynamics, and constraints of standard DDP, we consider problems…

Optimization and Control · Mathematics 2018-07-17 Marc Hohmann , Joseph Warrington , John Lygeros

Music segmentation refers to the dual problem of identifying boundaries between, and labeling, distinct music segments, e.g., the chorus, verse, bridge etc. in popular music. The performance of a range of music segmentation algorithms has…

Sound · Computer Science 2021-08-31 Matthew C. McCallum

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

This work presents a hybrid approach to solve the maximum stable set problem, using constraint and semidefinite programming. The approach consists of two steps: subproblem generation and subproblem solution. First we rank the variable…

Combinatorics · Mathematics 2007-05-23 W. J. van Hoeve

To increase the computational efficiency of interest-point based object retrieval, researchers have put remarkable research efforts into improving the efficiency of kNN-based feature matching, pursuing to match thousands of features against…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Johannes Niedermayer , Peer Kröger

Many studies have been conducted on seeking the efficient solution for subgraph similarity search over certain (deterministic) graphs due to its wide application in many fields, including bioinformatics, social network analysis, and…

Databases · Computer Science 2012-05-31 Ye Yuan , Guoren Wang , Lei Chen , Haixun Wang

We investigate the approximation of high-dimensional target measures as low-dimensional updates of a dominating reference measure. This approximation class replaces the associated density with the composition of: (i) a feature map that…

Computation · Statistics 2024-01-17 Matthew T. C. Li , Youssef Marzouk , Olivier Zahm

Few-shot learning is a relatively new technique that specializes in problems where we have little amounts of data. The goal of these methods is to classify categories that have not been seen before with just a handful of samples. Recent…

We consider the problem of model selection in a high-dimensional sparse linear regression model under privacy constraints. We propose a differentially private (DP) best subset selection method with strong statistical utility properties by…

Machine Learning · Statistics 2024-10-30 Saptarshi Roy , Zehua Wang , Ambuj Tewari

Size uniformity is one of the main criteria of superpixel methods. But size uniformity rarely conforms to the varying content of an image. The chosen size of the superpixels therefore represents a compromise - how to obtain the fewest…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Radhakrishna Achanta , Pablo Márquez-Neila , Pascal Fua , Sabine Süsstrunk

In this paper, we present and prove some consistency results about the performance of classification models using a subset of features. In addition, we propose to use beam search to perform feature selection, which can be viewed as a…

Machine Learning · Computer Science 2022-03-10 Nicolas Fraiman , Zichao Li

Survey data can contain a high number of features while having a comparatively low quantity of examples. Machine learning models that attempt to predict outcomes from survey data under these conditions can overfit and result in poor…

Computation and Language · Computer Science 2023-08-22 Benjamin C. Warner , Ziqi Xu , Simon Haroutounian , Thomas Kannampallil , Chenyang Lu