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We describe a novel constructive technique for devising efficient first-order methods for a wide range of large-scale convex minimization settings, including smooth, non-smooth, and strongly convex minimization. The technique builds upon a…

Optimization and Control · Mathematics 2019-06-27 Yoel Drori , Adrien B. Taylor

We propose a novel tree-based ensemble method named Selective Cascade of Residual ExtraTrees (SCORE). SCORE draws inspiration from representation learning, incorporates regularized regression with variable selection features, and utilizes…

Machine Learning · Computer Science 2020-09-30 Qimin Liu , Fang Liu

This paper presents a clustering algorithm that is an extension of the Category Trees algorithm. Category Trees is a clustering method that creates tree structures that branch on category type and not feature. The development in this paper…

Machine Learning · Computer Science 2021-04-23 Kieran Greer

In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

Numerical Analysis · Computer Science 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

We use simple equations in order to compare the basins of attraction on the complex plane, corresponding to a large collection of numerical methods, of several order. Two cases are considered, regarding the total number of the roots, which…

Numerical Analysis · Mathematics 2024-12-20 Euaggelos E. Zotos , Md Sanam Suraj , Amit Mittal , Rajiv Aggarwal

In this paper we propose a variant of the linear least squares model allowing practitioners to partition the input features into groups of variables that they require to contribute similarly to the final result. The output allows…

Machine Learning · Computer Science 2024-07-17 Roberto Esposito , Mattia Cerrato , Marco Locatelli

Monte Carlo Search gives excellent results in multiple difficult combinatorial problems. Using a prior to perform non uniform playouts during the search improves a lot the results compared to uniform playouts. Handmade heuristics tailored…

Artificial Intelligence · Computer Science 2024-01-22 Tristan Cazenave

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

We present an iterative method to diagonalise large matrices. The basic idea is the same as the conjugated gradient (CG) method, i.e, minimizing the Rayleigh quotient via its gradient and avoiding reintroduce errors to the directions of…

Computational Physics · Physics 2009-11-10 Quanlin Jie , Dunhuan Liu

We propose an efficient linear-time graph-based divisive cluster analysis approach called Reductive Clustering. The approach tries to reveal the hierarchical structural information through reducing the graph into a more concise one…

Artificial Intelligence · Computer Science 2020-09-28 Ching Tarn , Yinan Zhang , Ye Feng

Evaluating the performance of clustering models is a challenging task where the outcome depends on the definition of what constitutes a cluster. Due to this design, current existing metrics rarely handle multiple clustering models with…

Machine Learning · Computer Science 2025-05-08 Louis Ohl , Fredrik Lindsten

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many…

Machine Learning · Statistics 2014-02-06 Jiaming Xu , Rui Wu , Kai Zhu , Bruce Hajek , R. Srikant , Lei Ying

Convolutional neural networks (CNNs) have succeeded in many practical applications. However, their high computation and storage requirements often make them difficult to deploy on resource-constrained devices. In order to tackle this issue,…

Machine Learning · Computer Science 2022-01-14 Tianzong Yu , Chunyuan Zhang , Yuan Wang , Meng Ma , Qi Song

Co-clustering is a specific type of clustering that addresses the problem of finding groups of objects without necessarily considering all attributes. This technique has shown to have more consistent results in high-dimensional sparse data…

Machine Learning · Computer Science 2021-10-28 Yuri Santos , Jônata Tyska , Vania Bogorny

We present a comparison between a number of recently introduced low-memory wave function optimization methods for variational Monte Carlo in which we find that first and second derivative methods possess strongly complementary relative…

Strongly Correlated Electrons · Physics 2019-07-24 Leon Otis , Eric Neuscamman

The paper deals with the problem of finding sparse solutions to systems of polynomial equations possibly perturbed by noise. In particular, we show how these solutions can be recovered from group-sparse solutions of a derived system of…

Information Theory · Computer Science 2014-07-17 Fabien Lauer , Henrik Ohlsson

This paper presents a novel approach to binary classification using dynamic logistic ensemble models. The proposed method addresses the challenges posed by datasets containing inherent internal clusters that lack explicit feature-based…

Machine Learning · Computer Science 2024-12-02 Mohammad Zubair Khan , David Li

We are interested in understanding the underlying generation process for long sequences of symbolic events. To do so, we propose COSSU, an algorithm to mine small and meaningful sets of sequential rules. The rules are selected using an…

Machine Learning · Computer Science 2023-01-02 Erwan Bourrand , Luis Galárraga , Esther Galbrun , Elisa Fromont , Alexandre Termier

In this paper we consider the enumeration of orientable and non-orientable chord diagrams. We show that this enumeration is encoded in appropriate expectation values of the $\beta$-deformed Gaussian and RNA matrix models. We evaluate these…

The problem of data clustering is one of the most important in data analysis. It can be problematic when dealing with experimental data characterized by measurement uncertainties and errors. Our paper proposes a recursive scheme for…

Machine Learning · Computer Science 2024-01-12 Alicja Miniak-Górecka , Krzysztof Podlaski , Tomasz Gwizdałła