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Regularization of ill-posed linear inverse problems via $\ell_1$ penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the minimizer of such an $\ell_1$ penalized functional is via an…

数值分析 · 数学 2013-01-01 I. Daubechies , M. Fornasier , I. Loris

Floorplan reconstruction provides structural priors essential for reliable indoor robot navigation and high-level scene understanding. However, existing approaches either require time-consuming offline processing with a complete map, or…

机器人学 · 计算机科学 2025-03-06 Haolin Wang , Zeren Lv , Hao Wei , Haijiang Zhu , Yihong Wu

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

数据结构与算法 · 计算机科学 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of…

人工智能 · 计算机科学 2019-08-19 Sven Löffler , Ke Liu , Petra Hofstedt

Cloud computing datacenters provide thousands to millions of virtual machines (VMs) on-demand in highly dynamic environments, requiring quick placement of requested VMs into available physical machines (PMs). Due to the randomness of…

分布式、并行与集群计算 · 计算机科学 2018-02-13 Augusto Amarilla

We propose an approach to solve multi-agent path planning (MPP) problems for complex environments. Our method first designs a special pebble graph with a set of feasibility constraints, under which MPP problems have feasibility guarantee.…

机器人学 · 计算机科学 2021-08-10 Xifeng Gao , Zherong Pan , Ruiqi Ni

Pruning is an effective method for compressing Large Language Models, but finding an optimal, non-uniform layer-wise sparsity allocation remains a key challenge. While heuristic methods are fast but yield suboptimal performance, more…

机器学习 · 计算机科学 2025-11-25 Xin Yuan , Siqi Li , Jiateng Wei , Chengrui Zhu , Yanming Wu , Qingpeng Li , Jiajun Lv , Xiaoke Lan , Jun Chen , Yong Liu

Modern robotics often involves multiple embodied agents operating within a shared environment. Path planning in these cases is considerably more challenging than in single-agent scenarios. Although standard Sampling-based Algorithms (SBAs)…

机器人学 · 计算机科学 2023-04-04 Alessandro Zanardi , Pietro Zullo , Andrea Censi , Emilio Frazzoli

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

系统与控制 · 电气工程与系统科学 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

数据结构与算法 · 计算机科学 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

In various scenarios, a single phase of modelling and solving is either not sufficient or not feasible to solve the problem at hand. A standard approach to solving AI planning problems, for example, is to incrementally extend the planning…

人工智能 · 计算机科学 2020-09-24 Gökberk Koçak , Özgür Akgün , Nguyen Dang , Ian Miguel

Floorplans provide a compact representation of the building's structure, revealing not only layout information but also detailed semantics such as the locations of windows and doors. However, contemporary floorplan localization techniques…

计算机视觉与模式识别 · 计算机科学 2025-07-16 Yuval Grader , Hadar Averbuch-Elor

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

数值分析 · 数学 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

For many applications in signal processing and machine learning, we are tasked with minimizing a large sum of convex functions subject to a large number of convex constraints. In this paper, we devise a new random projection method (RPM) to…

最优化与控制 · 数学 2024-04-08 Zhichun Yang , Fu-quan Xia , Kai Tu , Man-Chung Yue

We present a novel approach to solving the floorplanning problem by leveraging fine-tuned Large Language Models (LLMs). Inspired by subitizing--the human ability to instantly and accurately count small numbers of items at a glance--we…

硬件体系结构 · 计算机科学 2025-04-17 Shao-Chien Lu , Chen-Chen Yeh , Hui-Lin Cho , Yu-Cheng Lin , Rung-Bin Lin

A prototype tool to assist architects during the early design stage of floor plans has been developed, consisting of an Evolutionary Program for the Space Allocation Problem (EPSAP), which generates sets of floor plan alternatives according…

计算工程、金融与科学 · 计算机科学 2013-08-06 Eugénio Rodrigues , Adélio Rodrigues Gaspar , Álvaro Gomes

Feasibility pump (FP) is a successful primal heuristic for mixed-integer linear programs (MILP). The algorithm consists of three main components: rounding fractional solution to a mixed-integer one, projection of infeasible solutions to the…

最优化与控制 · 数学 2016-09-27 Santanu S. Dey , Andres Iroume , Marco Molinaro , Domenico Salvagnin

Shifting towards renewable energy sources and reducing carbon emissions necessitate sophisticated energy system planning, optimization, and extension. Energy systems optimization models (ESOMs) often form the basis for political and…

In this work, we propose an optimization framework for estimating a sparse robust one-dimensional subspace. Our objective is to minimize both the representation error and the penalty, in terms of the l1-norm criterion. Given that the…

机器学习 · 统计学 2024-03-07 Xiao Ling , Paul Brooks

Seeking tighter relaxations of combinatorial optimization problems, semidefinite programming is a generalization of linear programming that offers better bounds and is still polynomially solvable. Yet, in practice, a semidefinite program is…

最优化与控制 · 数学 2023-11-17 Daniel Porumbel