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We present a new universal source code for distributions of unlabeled binary and ordinal trees that achieves optimal compression to within lower order terms for all tree sources covered by existing universal codes. At the same time, it…

Data Structures and Algorithms · Computer Science 2021-09-06 J. Ian Munro , Patrick K. Nicholson , Louisa Seelbach Benkner , Sebastian Wild

The present work proposes a solution to the challenging problem of registering two partial point sets of the same object with very limited overlap. We leverage the fact that most objects found in man-made environments contain a plane of…

Computational Geometry · Computer Science 2020-02-20 Lan Hu , Haomin Shi , Laurent Kneip

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

With the advent of quantum and quantum-inspired machine learning, adapting the structure of learning models to match the structure of target datasets has been shown to be crucial for obtaining high performance. Probabilistic models based on…

Quantum Physics · Physics 2022-11-30 Atithi Acharya , Manuel Rudolph , Jing Chen , Jacob Miller , Alejandro Perdomo-Ortiz

In recent years, learning-based approaches have revolutionized motion planning. The data generation process for these methods involves caching a large number of high quality paths for different queries (start, goal pairs) in various…

Robotics · Computer Science 2023-03-14 Sagar Suhas Joshi , Panagiotis Tsiotras

A data structure, called a biased range tree, is presented that preprocesses a set S of n points in R^2 and a query distribution D for 2-sided orthogonal range counting queries. The expected query time for this data structure, when queries…

Computational Geometry · Computer Science 2008-06-18 Vida Dujmovic , John Howat , Pat Morin

We present DUAL-LOCO, a communication-efficient algorithm for distributed statistical estimation. DUAL-LOCO assumes that the data is distributed according to the features rather than the samples. It requires only a single round of…

Machine Learning · Statistics 2016-08-04 Christina Heinze , Brian McWilliams , Nicolai Meinshausen

This paper focuses on stochastic saddle point problems with decision-dependent distributions. These are problems whose objective is the expected value of a stochastic payoff function and whose data distribution drifts in response to…

Optimization and Control · Mathematics 2022-11-15 Killian Wood , Emiliano Dall'Anese

Sorted Table Search Procedures are the quintessential query-answering tool, with widespread usage that now includes also Web Applications, e.g, Search Engines (Google Chrome) and ad Bidding Systems (AppNexus). Speeding them up, at very…

Machine Learning · Computer Science 2020-07-31 Domenico Amato , Giosué Lo Bosco , Raffaele Giancarlo

Tree-like structures, such as blood vessels, often express complexity at very fine scales, requiring high-resolution grids to adequately describe their shape. Such sparse morphology can alternately be represented by locations of centreline…

Computer Vision and Pattern Recognition · Computer Science 2018-11-09 Kerry Halupka , Rahil Garnavi , Stephen Moore

In the context of tree-search stochastic planning algorithms where a generative model is available, we consider on-line planning algorithms building trees in order to recommend an action. We investigate the question of avoiding re-planning…

Machine Learning · Computer Science 2019-02-14 Erwan Lecarpentier , Guillaume Infantes , Charles Lesire , Emmanuel Rachelson

Retrieval data structures are data structures that answer key-value queries without paying the space overhead of explicitly storing keys. The problem can be formulated in four settings (static, value-dynamic, incremental, or dynamic), each…

Data Structures and Algorithms · Computer Science 2024-10-25 William Kuszmaul , Aaron Putterman , Tingqiang Xu , Hangrui Zhou , Renfei Zhou

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

Machine Learning · Statistics 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

Efficient tabletop rearrangement planning seeks to find high-quality solutions while minimizing total cost. However, the task is challenging due to object dependencies and limited buffer space for temporary placements. The complexity…

Robotics · Computer Science 2025-05-27 Jiaming Hu , Jiawei Wang , Henrik I Christensen

This paper presents a novel two-step approach for the fundamental problem of learning an optimal map from one distribution to another. First, we learn an optimal transport (OT) plan, which can be thought as a one-to-many map between the two…

This paper introduces a new data-driven methodology for nested logit structure discovery. Nested logit models allow the modeling of positive correlations between the error terms of the utility specifications of the different alternatives in…

Methodology · Statistics 2020-08-19 Youssef M. Aboutaleb , Moshe Ben-Akiva , Patrick Jaillet

Consensus maximization is widely used for robust fitting in computer vision. However, solving it exactly, i.e., finding the globally optimal solution, is intractable. A* tree search, which has been shown to be fixed-parameter tractable, is…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Zhipeng Cai , Tat-Jun Chin , Vladlen Koltun

Distributed optimization, where the computations are performed in a localized and coordinated manner using multiple agents, is a promising approach for solving large-scale optimization problems, e.g., those arising in model predictive…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Wentao Tang , Prodromos Daoutidis

Exploration is a fundamental problem in robotics. While sampling-based planners have shown high performance, they are oftentimes compute intensive and can exhibit high variance. To this end, we propose to directly learn the underlying…

Robotics · Computer Science 2022-07-15 Lukas Schmid , Chao Ni , Yuliang Zhong , Roland Siegwart , Olov Andersson

Rapidly-exploring Random Tree star (RRT*) has recently gained immense popularity in the motion planning community as it provides a probabilistically complete and asymptotically optimal solution without requiring the complete information of…

Robotics · Computer Science 2018-07-24 Zaid Tahir , Ahmed H. Qureshi , Yasar Ayaz , Raheel Nawaz