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This paper presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where…

Machine Learning · Statistics 2026-03-16 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

General error locator polynomials are polynomials able to decode any correctable syndrome for a given linear code. Such polynomials are known to exist for all cyclic codes and for a large class of linear codes. We provide some decoding…

Commutative Algebra · Mathematics 2016-04-01 Chiara Marcolla , Emmanuela Orsini , Massimiliano Sala

We study decompositions of NVALUE, a global constraint that can be used to model a wide range of problems where values need to be counted. Whilst decomposition typically hinders propagation, we identify one decomposition that maintains a…

Artificial Intelligence · Computer Science 2009-09-18 Christian Bessiere , George Katsirelos , Nina Narodytska , Claude-Guy Quimper , Toby Walsh

Correlations may affect propagation processes on complex networks. To analyze their effect, it is useful to build ensembles of networks constrained to have a given value of a structural measure, such as the degree-degree correlation $r$,…

Statistical Mechanics · Physics 2013-04-09 Marlon Ramos , Celia Anteneodo

Given the first 20-100 coefficients of a typical generating function of the type that arises in many problems of statistical mechanics or enumerative combinatorics, we show that the method of differential approximants performs surprisingly…

Statistical Mechanics · Physics 2016-10-12 Anthony J Guttmann

In computer vision, an entity such as an image or video is often represented as a set of instance vectors, which can be SIFT, motion, or deep learning feature vectors extracted from different parts of that entity. Thus, it is essential to…

Computer Vision and Pattern Recognition · Computer Science 2016-04-28 Jianxin Wu , Bin-Bin Gao , Guoqing Liu

Transition-based and graph-based dependency parsers have previously been shown to have complementary strengths and weaknesses: transition-based parsers exploit rich structural features but suffer from error propagation, while graph-based…

Computation and Language · Computer Science 2019-08-28 Artur Kulmizev , Miryam de Lhoneux , Johannes Gontrum , Elena Fano , Joakim Nivre

The effectiveness of projection methods for solving systems of linear inequalities is investigated. It is shown that they have a computational advantage over some alternatives and that this makes them successful in real-world applications.…

Optimization and Control · Mathematics 2009-12-23 Y. Censor , W. Chen , P. L. Combettes , R. Davidi , G. T. Herman

By coordinating terminal smart devices or microprocessors to engage in cooperative computation to achieve systemlevel targets, distributed optimization is incrementally favored by both engineering and computer science. The well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-24 Yu Yang , Xiaohong Guan , Qing-Shan Jia , Liang Yu , Bolun Xu , Costas J. Spanos

Counters that hold natural numbers are ubiquitous in modeling and verifying software systems; for example, they model dynamic creation and use of resources in concurrent programs. Unfortunately, such discrete counters often lead to…

Formal Languages and Automata Theory · Computer Science 2025-11-27 A. R. Balasubramanian , Matthew Hague , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Global optimization of decision trees has shown to be promising in terms of accuracy, size, and consequently human comprehensibility. However, many of the methods used rely on general-purpose solvers for which scalability remains an issue.…

Machine Learning · Computer Science 2025-01-31 Jacobus G. M. van der Linden , Mathijs M. de Weerdt , Emir Demirović

We show that tools from circuit complexity can be used to study decompositions of global constraints. In particular, we study decompositions of global constraints into conjunctive normal form with the property that unit propagation on the…

Artificial Intelligence · Computer Science 2009-05-26 Christian Bessiere , George Katsirelos , Nina Narodytska , Toby Walsh

We view a conic optimization problem that has a unique solution as a map from its data to its solution. If sufficient regularity conditions hold at a solution point, namely that the implicit function theorem applies to the normalized…

Optimization and Control · Mathematics 2019-03-28 Enzo Busseti

This paper introduces a new derivative parsing algorithm for recognition of parsing expression grammars. Derivative parsing is shown to have a polynomial worst-case time bound, an improvement on the exponential bound of the recursive…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Aaron Moss

In many applications of supervised learning, multiple classification or regression outputs have to be predicted jointly. We consider several extensions of gradient boosting to address such problems. We first propose a straightforward…

Machine Learning · Statistics 2019-05-21 Arnaud Joly , Louis Wehenkel , Pierre Geurts

Constraint satisfaction is a critical component in a wide range of engineering applications, including but not limited to safe multi-agent control and economic dispatch in power systems. This study explores violation-free distributed…

Optimization and Control · Mathematics 2024-04-12 Changxin Liu , Xiao Tan , Xuyang Wu , Dimos V. Dimarogonas , Karl H. Johansson

We introduce a program aimed to studying problems arising from the theory of complex networks with differential geometric means. We study the propagation of influences on manifolds assuming that at each point only a finite number of…

Mathematical Physics · Physics 2016-04-26 Leonardo Cano , Rafael Diaz

We study the gradient and higher order derivative estimates for the transmission problem in the presence of closely located inclusions. We show that in two dimensions, when relative conductivities of circular inclusions have different…

Analysis of PDEs · Mathematics 2023-06-13 Hongjie Dong , Zhuolun Yang

Discrete-time robust optimal control problems generally take a min-max structure over continuous variable spaces, which can be difficult to solve in practice. In this paper, we extend the class of such problems that can be solved through a…

Optimization and Control · Mathematics 2024-04-30 Jad Wehbeh , Eric C. Kerrigan

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

Optimization and Control · Mathematics 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban
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