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This study examines the time complexities of the unbalanced optimal transport problems from an algorithmic perspective for the first time. We reveal which problems in unbalanced optimal transport can/cannot be solved efficiently.…

Machine Learning · Computer Science 2021-01-11 Ryoma Sato , Makoto Yamada , Hisashi Kashima

We describe an algorithm for dynamic load balancing of geometrically parallelized synchronous Monte Carlo simulations of physical models. This algorithm is designed for a (heterogeneous) multiprocessor system of the MIMD type with…

High Energy Physics - Lattice · Physics 2009-10-22 P. Altevogt , A. Linke

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov

We consider the probability that a spanning tree chosen uniformly at random from a graph can be partitioned into a fixed number $k$ of trees of equal size by removing $k-1$ edges. In that case, the spanning tree is called {\em splittable}.…

Data Structures and Algorithms · Computer Science 2026-02-25 David Gillman , Jacob Platnick , Dana Randall

This paper presents a detailed comparison of a recently proposed algorithm for optimizing decision trees, tree alternating optimization (TAO), with other popular, established algorithms. We compare their performance on a number of…

Machine Learning · Computer Science 2020-03-23 Arman Zharmagambetov , Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán , Magzhan Gabidolla

Fast feedforward networks (FFFs) are a class of neural networks that exploit the observation that different regions of the input space activate distinct subsets of neurons in wide networks. FFFs partition the input space into separate…

Currently, many machine learning algorithms contain lots of iterations. When it comes to existing large-scale distributed systems, some slave nodes may break down or have lower efficiency. Therefore traditional machine learning algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Junxiong Wang , Hongzhi Wang , Chenxu Zhao

This paper give a simple linear-time algorithm that, given a weighted digraph, finds a spanning tree that simultaneously approximates a shortest-path tree and a minimum spanning tree. The algorithm provides a continuous trade-off: given the…

Data Structures and Algorithms · Computer Science 2015-06-02 Samir Khuller , Balaji Raghavachari , Neal E. Young

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

Statistics Theory · Mathematics 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

We consider the minimum spanning tree problem with predictions, using the weight-arrival model, i.e., the graph is given, together with predictions for the weights of all edges. Then the actual weights arrive one at a time and an…

Data Structures and Algorithms · Computer Science 2023-02-24 Magnus Berg , Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

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

Policy-gradient methods are widely used for learning control policies. They can be easily distributed to multiple workers and reach state-of-the-art results in many domains. Unfortunately, they exhibit large variance and subsequently suffer…

Machine Learning · Computer Science 2022-09-29 Gal Dalal , Assaf Hallak , Shie Mannor , Gal Chechik

We introduce an adaptive-weighted tree tensor network, for the study of disordered and inhomogeneous quantum many-body systems. This ansatz is assembled on the basis of the random couplings of the physical system with a procedure that…

Disordered Systems and Neural Networks · Physics 2022-06-07 Giovanni Ferrari , Giuseppe Magnifico , Simone Montangero

This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among…

Data Structures and Algorithms · Computer Science 2011-05-17 Alfons Laarman , Jaco van de Pol , Michael Weber

Herein, we investigate the zero-error randomized complexity, which is the least cost against the worst input, of AND-OR tree computation by imposing various restrictions on the algorithm to find the Boolean value of the root of that tree…

Artificial Intelligence · Computer Science 2025-05-26 Fuki Ito , Toshio Suzuki

Algorithms that use hardware transactional memory (HTM) must provide a software-only fallback path to guarantee progress. The design of the fallback path can have a profound impact on performance. If the fallback path is allowed to run…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Trevor Brown

This paper investigates tree species classification using Sentinel-2 multispectral satellite image time-series. Despite their critical importance for many applications, such maps are often unavailable, outdated, or inaccurate for large…

Image and Video Processing · Electrical Eng. & Systems 2024-11-28 Florian Mouret , David Morin , Milena Planells , Cécile Vincent-Barbaroux

We describe an approach that uses combinatorial optimization and machine learning to share the work between the host and device of heterogeneous computing systems such that the overall application execution time is minimized. We propose to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-17 Suejb Memeti , Sabri Pllana

The dynamic trees problem is to maintain a forest subject to edge insertions and deletions while facilitating queries such as connectivity, path weights, and subtree weights. Dynamic trees are a fundamental building block of a large number…

Data Structures and Algorithms · Computer Science 2020-10-27 Umut A. Acar , Daniel Anderson , Guy E. Blelloch , Laxman Dhulipala , Sam Westrick

The prevailing mindset is that a single decision tree underperforms classic random forests in testing accuracy, despite its advantages in interpretability and lightweight structure. This study challenges such a mindset by significantly…

Machine Learning · Computer Science 2024-11-27 Qiangqiang Mao , Yankai Cao
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