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Non-convex optimization is ubiquitous in machine learning. Majorization-Minimization (MM) is a powerful iterative procedure for optimizing non-convex functions that works by optimizing a sequence of bounds on the function. In MM, the bound…

Computer Vision and Pattern Recognition · Computer Science 2019-05-20 Sobhan Naderi Parizi , Kun He , Reza Aghajani , Stan Sclaroff , Pedro Felzenszwalb

Szeliski et al. published an influential study in 2006 on energy minimization methods for Markov Random Fields (MRF). This study provided valuable insights in choosing the best optimization technique for certain classes of problems. While…

Majorization-minimization (MM) is a family of optimization methods that iteratively reduce a loss by minimizing a locally-tight upper bound, called a majorizer. Traditionally, majorizers were derived by hand, and MM was only applicable to a…

Optimization and Control · Mathematics 2023-08-24 Matthew Streeter

For rearranging objects on tabletops with overhand grasps, temporarily relocating objects to some buffer space may be necessary. This raises the natural question of how many simultaneous storage spaces, or "running buffers", are required so…

Robotics · Computer Science 2023-04-05 Kai Gao , Si Wei Feng , Baichuan Huang , Jingjin Yu

We present a novel path-planning algorithm to reduce localization error for a network of robots cooperatively localizing via inter-robot range measurements. The quality of localization with range measurements depends on the configuration of…

Robotics · Computer Science 2021-09-14 Alan Papalia , Nicole Thumma , John Leonard

We study optimal Multi-robot Path Planning (MPP) on graphs, in order to improve the efficiency of multi-robot system (MRS) in the warehouse-like environment. We propose a novel algorithm, OMRPP (One-way Multi-robot Path Planning) based on…

Robotics · Computer Science 2021-07-27 Jiaxi Huo , Ronghao Zheng , Meiqin Liu , Senlin Zhang

Multi-robot systems offer enhanced capability over their monolithic counterparts, but they come at a cost of increased complexity in coordination. To reduce complexity and to make the problem tractable, multi-robot motion planning (MRMP)…

Robotics · Computer Science 2021-11-30 Changrak Choi , Muhammad Adil , Amir Rahmani , Ramtin Madani

Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem…

Computer Vision and Pattern Recognition · Computer Science 2013-10-09 Carl Olsson , Johannes Ulen , Yuri Boykov , Vladimir Kolmogorov

The massive exploitation of robots for industry 4.0 needs advanced wireless solutions that replace less flexible and more costly wired networks. In this regard, millimeter-waves (mm-waves) can provide high data rates, but they are…

Networking and Internet Architecture · Computer Science 2020-03-24 Cristian Tatino , Nikolaos Pappas , Di Yuan

We present a variational multi-label segmentation algorithm based on a robust Huber loss for both the data and the regularizer, minimized within a convex optimization framework. We introduce a novel constraint on the common areas, to bias…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Byung-Woo Hong , Ja-Keoung Koo , Stefano Soatto

Randomized sampling based algorithms are widely used in robot motion planning due to the problem's intractability, and are experimentally effective on a wide range of problem instances. Most variants do not sample uniformly at random, and…

Many tasks in human environments require performing a sequence of navigation and manipulation steps involving objects. In unstructured human environments, the location and configuration of the objects involved often change in unpredictable…

Robotics · Computer Science 2015-04-14 Jaeyong Sung , Bart Selman , Ashutosh Saxena

Incremental methods for structure learning of pairwise Markov random fields (MRFs), such as grafting, improve scalability by avoiding inference over the entire feature space in each optimization step. Instead, inference is performed over an…

Machine Learning · Computer Science 2018-05-22 Walid Chaabene , Bert Huang

The multi-label classification framework, where each observation can be associated with a set of labels, has generated a tremendous amount of attention over recent years. The modern multi-label problems are typically large-scale in terms of…

Statistics Theory · Mathematics 2017-03-16 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri , Joseph Salmon

The increased availability of interactive maps on the Internet and on personal mobile devices has created new challenges in computational cartography and, in particular, for label placement in maps. Operations like rotation, zoom, and…

Computational Geometry · Computer Science 2016-09-22 Lukas Barth , Benjamin Niedermann , Martin Nöllenburg , Darren Strash

This paper is concerned with the numerical minimization of energy functionals in Hilbert spaces involving convex constraints coinciding with a semi-norm for a subspace. The optimization is realized by alternating minimizations of the…

Numerical Analysis · Mathematics 2007-12-17 Massimo Fornasier , Carola-Bibiane Schönlieb

This paper reports a new hierarchical architecture for modeling autonomous multi-robot systems (MRSs): a nonlinear dynamical opinion process is used to model high-level group choice, and multi-objective behavior optimization is used to…

Robotics · Computer Science 2024-10-22 Tyler M. Paine , Michael R. Benjamin

Mobile robots are often tasked with repeatedly navigating through an environment whose traversability changes over time. These changes may exhibit some hidden structure, which can be learned. Many studies consider reactive algorithms for…

Robotics · Computer Science 2020-12-07 Florence Tsang , Tristan Walker , Ryan A. MacDonald , Armin Sadeghi , Stephen L. Smith

Multi-robot motion planning problems often have many local minima. It is essential to visualize those local minima such that we can better understand, debug and interact with multi-robot systems. Towards this goal, we present the…

Robotics · Computer Science 2020-04-30 Andreas Orthey , Marc Toussaint

We provide a general framework to improve trade-offs between the number of full batch and sample queries used to solve structured optimization problems. Our results apply to a broad class of randomized optimization algorithms that…

Data Structures and Algorithms · Computer Science 2025-09-03 Yujia Jin , Ishani Karmarkar , Aaron Sidford , Jiayi Wang