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Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

We present the first algorithm for designing volumetric Michell Trusses. Our method uses a parametrization approach to generate trusses made of structural elements aligned with the primary direction of an object's stress field. Such trusses…

We study Sinkhorn EM (sEM), a variant of the expectation maximization (EM) algorithm for mixtures based on entropic optimal transport. sEM differs from the classic EM algorithm in the way responsibilities are computed during the expectation…

Machine Learning · Statistics 2020-07-01 Gonzalo Mena , Amin Nejatbakhsh , Erdem Varol , Jonathan Niles-Weed

We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a high temperature series expansion or a…

Statistical Mechanics · Physics 2009-09-29 Matthias Troyer , Stefan Wessel , Fabien Alet

Understanding the dynamics of truck volumes and activities across the skeleton traffic network is pivotal for effective traffic planning, traffic management, sustainability analysis, and policy making. Yet, relying solely on average annual…

Networking and Internet Architecture · Computer Science 2024-11-05 Diyi Liu , Ankur Shiledar , Hyeonsup Lim , Vivek Sujan , Adam Siekmann , Junchuan Fan , Lee D. Han

The automaton constrained tree knapsack problem is a variant of the knapsack problem in which the items are associated with the vertices of the tree, and we can select a subset of items that is accepted by a top-down tree automaton. If the…

Data Structures and Algorithms · Computer Science 2018-09-18 Soh Kumabe , Takanori Maehara , Ryoma Sin'ya

Answering a question of Gamarnik and Smedira, we give a polynomial time algorithm that approximately computes the volume of a truncation of a relaxation of the independent set polytope, improving on their quasi-polynomial time algorithm.…

Combinatorics · Mathematics 2024-04-15 Ferenc Bencs , Guus Regts

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Thomas Lang

Structured optimization problems are ubiquitous in fields like data science and engineering. The goal in structured optimization is using a prescribed set of points, called atoms, to build up a solution that minimizes or maximizes a given…

Optimization and Control · Mathematics 2021-01-14 Andrea Cristofari , Francesco Rinaldi

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

Bayesian Optimization is a very effective tool for optimizing expensive black-box functions. Inspired by applications developing and characterizing reaction chemistry using droplet microfluidic reactors, we consider a novel setting where…

Machine Learning · Computer Science 2023-01-12 Jose Pablo Folch , Shiqiang Zhang , Robert M Lee , Behrang Shafei , David Walz , Calvin Tsay , Mark van der Wilk , Ruth Misener

Management of vestibular schwannoma (VS) is based on tumour size as observed on T1 MRI scans with contrast agent injection. Current clinical practice is to measure the diameter of the tumour in its largest dimension. It has been shown that…

Image and Video Processing · Electrical Eng. & Systems 2020-08-20 Hari McGrath , Peichao Li , Reuben Dorent , Robert Bradford , Shakeel Saeed , Sotirios Bisdas , Sebastien Ourselin , Jonathan Shapey , Tom Vercauteren

Finding the $r\times r$ submatrix of maximum volume of a matrix $A\in\mathbb R^{n\times n}$ is an NP hard problem that arises in a variety of applications. We propose a new greedy algorithm of cost $\mathcal O(n)$, for the case $A$…

Numerical Analysis · Mathematics 2021-04-05 Stefano Massei

Mobile autonomous robots have the potential to revolutionize manufacturing processes. However, employing large robot fleets in manufacturing requires addressing challenges including collision-free movement in a shared workspace, effective…

Robotics · Computer Science 2025-11-18 Kyle Brown , Dylan M. Asmar , Mac Schwager , Mykel J. Kochenderfer

We consider the bin packing problem with $d$ different item sizes and revisit the structure theorem given by Goemans and Rothvo\ss [6] about solutions of the integer cone. We present new techniques on how solutions can be modified and give…

Data Structures and Algorithms · Computer Science 2016-12-09 Klaus Jansen , Kim-Manuel Klein

Stochastic Approximation (SA) is a popular approach for solving fixed-point equations where the information is corrupted by noise. In this paper, we consider an SA involving a contraction mapping with respect to an arbitrary norm, and show…

Machine Learning · Computer Science 2021-07-01 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

This paper presents a set of new formulations for the Flying Sidekick Traveling Salesman Problem, where a truck and a drone cooperate to delivery parcels to customers minimizing the completion time. The new formulations improve the results…

Optimization and Control · Mathematics 2022-10-31 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

In this paper we describe a method for packing tubes and boxes in containers. Each container is divided into parts (holders) which are allocated to subsets of objects. The method consists of a recursive procedure which, based on a…

Data Structures and Algorithms · Computer Science 2016-09-27 João Pedro Pedroso , João Nuno Tavares , Jorge Leite

We develop a quantum-classical hybrid algorithm for function optimization that is particularly useful in the training of neural networks since it makes use of particular aspects of high-dimensional energy landscapes. Due to a recent…

Quantum Physics · Physics 2017-10-20 Leonard Wossnig , Sebastian Tschiatschek , Stefan Zohren

Packing cost accounts for a large part of the e-commerce logistics cost. Mining the patterns of customer orders and designing suitable packing bins help to reduce operating cost. In the classical bin packing problem, a given set of…

Data Structures and Algorithms · Computer Science 2018-12-10 Xinhang Zhang , Haoyuan Hu , Longfei Wang , Zhijun Sun , Ying Zhang , Kunpeng Han , Yinghui Xu
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