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The iterative process of masking minimisation when mixing multitrack audio is a challenging optimisation problem, in part due to the complexity and non-linearity of auditory perception. In this article, we first propose a multitrack masking…

Audio and Speech Processing · Electrical Eng. & Systems 2021-01-07 David Ronan , Zheng Ma , Paul Mc Namara , Hatice Gunes , Joshua D. Reiss

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

Machine Learning · Statistics 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

Efficient extraction of useful knowledge from these data is still a challenge, mainly when the data is distributed, heterogeneous and of different quality depending on its corresponding local infrastructure. To reduce the overhead cost,…

Databases · Computer Science 2017-04-17 Nhien-An Le-Khac , M-Tahar Kechadi

Handling symmetries in optimization problems is essential for devising efficient solution methods. In this article, we present a general framework that captures many of the already existing symmetry handling methods. While these methods are…

Optimization and Control · Mathematics 2023-04-21 Jasper van Doornmalen , Christopher Hojny

A recently developed upscaling technique, the multicontinuum homogenization method, has gained significant attention for its effectiveness in modeling complex multiscale systems. This method defines multiple continua based on distinct…

Numerical Analysis · Mathematics 2025-12-24 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang

A method for aggregation of expert estimates in small groups is proposed. The method is based on combinatorial approach to decomposition of pair-wise comparison matrices and to processing of expert data. It also uses the basic principles of…

Optimization and Control · Mathematics 2019-11-14 Vitaliy Tsyganok , Sergii Kadenko , Oleh Andriichuk , Pavlo Roik

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

We consider fast kernel summations in high dimensions: given a large set of points in $d$ dimensions (with $d \gg 3$) and a pair-potential function (the {\em kernel} function), we compute a weighted sum of all pairwise kernel interactions…

Machine Learning · Computer Science 2015-02-16 William B. March , George Biros

The core challenge faced by multi-document summarization is the complexity of relationships among documents and the presence of information redundancy. Graph clustering is an effective paradigm for addressing this issue, as it models the…

Computation and Language · Computer Science 2025-08-01 Yongbing Zhang , Fang Nan , Shengxiang Gao , Yuxin Huang , Kaiwen Tan , Zhengtao Yu

Disparity by Block Matching stereo is usually used in applications with limited computational power in order to get depth estimates. However, the research on simple stereo methods has been lesser than the energy based counterparts which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Vinay Kaushik , Brejesh Lall

The paper addresses aggregation issues for composite (modular) solutions. A systemic view point is suggested for various aggregation problems. Several solution structures are considered: sets, set morphologies, trees, etc. Mainly, the…

Software Engineering · Computer Science 2011-12-01 Mark Sh. Levin

Gradient tracking methods have emerged as one of the most popular approaches for solving decentralized optimization problems over networks. In this setting, each node in the network has a portion of the global objective function, and the…

Optimization and Control · Mathematics 2023-11-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

Distributed high dimensional mean estimation is a common aggregation routine used often in distributed optimization methods. Most of these applications call for a communication-constrained setting where vectors, whose mean is to be…

Machine Learning · Statistics 2026-01-28 Harsh Vardhan , Arya Mazumdar

We study the problem of clustering sequences of unlabeled point sets taken from a common metric space. Such scenarios arise naturally in applications where a system or process is observed in distinct time intervals, such as biological…

Data Structures and Algorithms · Computer Science 2017-10-17 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

Comparison-based learning addresses the problem of learning when, instead of explicit features or pairwise similarities, one only has access to comparisons of the form: \emph{Object $A$ is more similar to $B$ than to $C$.} Recently, it has…

Machine Learning · Computer Science 2023-04-04 Aishik Mandal , Michaël Perrot , Debarghya Ghoshdastidar

In numerous applications, it is required to produce forecasts for multiple time-series at different hierarchy levels. An obvious example is given by the supply chain in which demand forecasting may be needed at a store, city, or country…

Machine Learning · Computer Science 2021-01-06 Davide Burba , Trista Chen

In high-dimensional linear models, sparsity is often exploited to reduce variability and achieve parsimony. Equi-sparsity, where one assumes that predictors can be aggregated into groups sharing the same effects, is an alternative…

Methodology · Statistics 2025-10-02 Jinwen Fu , Aaron J. Molstad , Hui Zou

Distributed training of $l_1$ regularized classifiers has received great attention recently. Most existing methods approach this problem by taking steps obtained from approximating the objective by a quadratic approximation that is…

Machine Learning · Computer Science 2016-11-25 Dhruv Mahajan , S. Sathiya Keerthi , S. Sundararajan

Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding function evaluations, or data values. This method has some…

Numerical Analysis · Mathematics 2018-07-26 Gabriele Santin , Dominik Wittwar , Bernard Haasdonk