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The subset sum algorithm is a natural heuristic for the classical Bin Packing problem: In each iteration, the algorithm finds among the unpacked items, a maximum size set of items that fits into a new bin. More than 35 years after its first…

Computer Science and Game Theory · Computer Science 2009-07-27 Leah Epstein , Elena Kleiman , Julian Mestre

We study a pair of budget- and performance-constrained weak-submodular maximization problems. For computational efficiency, we explore the use of stochastic greedy algorithms which limit the search space via random sampling instead of the…

Optimization and Control · Mathematics 2026-03-06 Ege C. Kaya , Michael Hibbard , Takashi Tanaka , Ufuk Topcu , Abolfazl Hashemi

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

Data Structures and Algorithms · Computer Science 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained Binary Optimization (QUBO) problems, as a special case. GAS can provide a…

Quantum Physics · Physics 2021-06-08 Austin Gilliam , Stefan Woerner , Constantin Gonciulea

Compressive sensing (CS) can effectively recover a signal when it is sparse in some discrete atoms. However, in some applications, signals are sparse in a continuous parameter space, e.g., frequency space, rather than discrete atoms.…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

A fundamental open problem in learning theory is to characterize the best-case teaching dimension $\operatorname{TS}_{\min}$ of a concept class $\mathcal{C}$ with finite VC dimension $d$. Resolving this problem will, in particular, settle…

Machine Learning · Statistics 2025-05-07 Spencer Compton , Chirag Pabbaraju , Nikita Zhivotovskiy

Simulated annealing (SA) is a stochastic global optimisation technique applicable to a wide range of discrete and continuous variable problems. Despite its simplicity, the development of an effective SA optimiser for a given problem hinges…

Machine Learning · Computer Science 2024-06-27 Alvaro H. C. Correia , Daniel E. Worrall , Roberto Bondesan

We present a new generalization of the bin covering problem that is known to be a strongly NP-hard problem. In our generalization there is a positive constant $\Delta$, and we are given a set of items each of which has a positive size. We…

Data Structures and Algorithms · Computer Science 2022-02-23 Asaf Levin

A shorter processing time is desirable for quantum computation to minimize the effects of noise. We propose a simple procedure to variationally determine a set of parameters in the transverse-field Ising model for quantum annealing appended…

Quantum Physics · Physics 2022-12-09 Tadashi Kadowaki , Hidetoshi Nishimori

We consider the problem of closed-loop robotic grasping and present a novel planner which uses Visual Feedback and an uncertainty-aware Adaptive Sampling strategy (VFAS) to close the loop. At each iteration, our method VFAS-Grasp builds a…

Robotics · Computer Science 2023-10-31 Pedro Piacenza , Jiacheng Yuan , Jinwook Huh , Volkan Isler

Grasping in cluttered scenes is challenging for robot vision systems, as detection accuracy can be hindered by partial occlusion of objects. We adopt a reinforcement learning (RL) framework and 3D vision architectures to search for feasible…

Robotics · Computer Science 2020-04-29 Xiangyu Chen , Zelin Ye , Jiankai Sun , Yuda Fan , Fang Hu , Chenxi Wang , Cewu Lu

We consider the problem of Active Search, where a maximum of relevant objects - ideally all relevant objects - should be retrieved with the minimum effort or minimum time. Typically, there are two main challenges to face when tackling this…

Information Retrieval · Computer Science 2018-03-23 Jean-Michel Renders

We consider optimization problems for complex systems in which the cost function has a multivalleyed landscape. We introduce a new class of dynamical algorithms which, using a suitable annealing procedure coupled with a balanced…

Mathematical Physics · Physics 2007-05-23 Pierluigi Contucci , Cristian Giardina' , Claudio Giberti , Cecilia Vernia

Recent progress in robotic manipulation has dealt with the case of previously unknown objects in the context of relatively simple tasks, such as bin-picking. Existing methods for more constrained problems, however, such as deliberate…

Robotics · Computer Science 2020-06-30 Chaitanya Mitash , Rahul Shome , Bowen Wen , Abdeslam Boularias , Kostas Bekris

Robotic pick-and-place (PnP) operations on moving conveyors find a wide range of industrial applications. In practice, simple greedy heuristics (e.g., prioritization based on the time to process a single object) are applied that achieve…

Robotics · Computer Science 2019-12-18 Shuai D. Han , Si Wei Feng , Jingjin Yu

We consider the Bin Packing problem with a partition matroid constraint. The input is a set of items of sizes in $(0,1]$, and a partition matroid over the items. The goal is to pack all items in a minimum number of unit-size bins, such that…

Data Structures and Algorithms · Computer Science 2023-05-16 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

Sampling-based algorithms solve the path planning problem by generating random samples in the search-space and incrementally growing a connectivity graph or a tree. Conventionally, the sampling strategy used in these algorithms is biased…

Robotics · Computer Science 2021-02-26 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

The Adaptive Cross Approximation (ACA) method is widely used to approximate admissible blocks of hierarchical matrices, or H-matrices, from discretized operators in the boundary integral method. These matrices are fully populated, making…

Numerical Analysis · Mathematics 2025-02-07 Vladislav A. Yastrebov , Camille Noûs

The randomized group-greedy method and its customized method for large-scale sensor selection problems are proposed. The randomized greedy sensor selection algorithm is applied straightforwardly to the group-greedy method, and a customized…

Signal Processing · Electrical Eng. & Systems 2023-03-27 Takayuki Nagata , Keigo Yamada , Kumi Nakai , Yuji Saito , Taku Nonomura

In container terminal yards, the Container Rehandling Problem (CRP) involves rearranging containers between stacks under specific operational rules, and it is a pivotal optimization challenge in intelligent container scheduling systems.…

Artificial Intelligence · Computer Science 2025-04-22 Ruoqi Wang , Jiawei Li