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The greedy strategy is an approximation algorithm to solve optimization problems arising in decision making with multiple actions. How good is the greedy strategy compared to the optimal solution? In this survey, we mainly consider two…

Optimization and Control · Mathematics 2019-05-10 Yajing Liu , Edwin K. P. Chong , Ali Pezeshki , Zhenliang Zhang

It is known that greedy methods perform well for maximizing monotone submodular functions. At the same time, such methods perform poorly in the face of non-monotonicity. In this paper, we show - arguably, surprisingly - that invoking the…

Machine Learning · Computer Science 2017-04-07 Moran Feldman , Christopher Harshaw , Amin Karbasi

Submodular functions are a special class of set functions which naturally model the notion of representativeness, diversity, coverage etc. and have been shown to be computationally very efficient. A lot of past work has applied submodular…

Machine Learning · Computer Science 2022-02-24 Vishal Kaushal , Ganesh Ramakrishnan , Rishabh Iyer

Soft prompt tuning techniques have recently gained traction as an effective strategy for the parameter-efficient tuning of pretrained language models, particularly minimizing the required adjustment of model parameters. Despite their…

Computation and Language · Computer Science 2024-06-11 MohammadAli SadraeiJavaeri , Ehsaneddin Asgari , Alice Carolyn McHardy , Hamid Reza Rabiee

Prompt tuning is a parameter-efficient method, which learns soft prompts and conditions frozen language models to perform specific downstream tasks. Though effective, prompt tuning under few-shot settings on the one hand heavily relies on a…

Computation and Language · Computer Science 2023-10-24 Kaihang Pan , Juncheng Li , Hongye Song , Jun Lin , Xiaozhong Liu , Siliang Tang

Standard multiple testing procedures are designed to report a list of discoveries, or suspected false null hypotheses, given the hypotheses' p-values or test scores. Recently there has been a growing interest in enhancing such procedures by…

Methodology · Statistics 2025-10-29 Jack Freestone , William Stafford Noble , Uri Keich

This paper addresses the problem of sequential submodular maximization: selecting and ranking items in a sequence to optimize some composite submodular function. In contrast to most of the previous works, which assume access to the utility…

Machine Learning · Computer Science 2024-09-10 Jing Yuan , Shaojie Tang

We connect high-dimensional subset selection and submodular maximization. Our results extend the work of Das and Kempe (2011) from the setting of linear regression to arbitrary objective functions. For greedy feature selection, this…

Machine Learning · Statistics 2017-10-13 Ethan R. Elenberg , Rajiv Khanna , Alexandros G. Dimakis , Sahand Negahban

Compressing self-supervised models has become increasingly necessary, as self-supervised models become larger. While previous approaches have primarily focused on compressing the model size, shortening sequences is also effective in…

Computation and Language · Computer Science 2022-10-26 Yen Meng , Hsuan-Jui Chen , Jiatong Shi , Shinji Watanabe , Paola Garcia , Hung-yi Lee , Hao Tang

In many applications of multi-agent systems (MAS), a set of leader agents acts as a control input to the remaining follower agents. In this paper, we introduce an analytical approach to selecting leader agents in order to minimize the total…

Systems and Control · Computer Science 2012-08-07 Andrew Clark , Linda Bushnell , Radha Poovendran

Prompt engineering is a challenging yet crucial task for optimizing the performance of large language models on customized tasks. It requires complex reasoning to examine the model's errors, hypothesize what is missing or misleading in the…

Computation and Language · Computer Science 2024-07-04 Qinyuan Ye , Maxamed Axmed , Reid Pryzant , Fereshte Khani

Optimal sensing nodes selection (SNS) in dynamic systems is a combinatorial optimization problem that has been thoroughly studied in the recent literature. This problem can be formulated within the context of set optimization. For…

Optimization and Control · Mathematics 2025-03-12 Mohamad H. Kazma , Ahmad F. Taha

In this paper, we introduce a novel technique for constrained submodular maximization, inspired by barrier functions in continuous optimization. This connection not only improves the running time for constrained submodular maximization but…

Machine Learning · Computer Science 2020-02-11 Ashwinkumar Badanidiyuru , Amin Karbasi , Ehsan Kazemi , Jan Vondrak

Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a…

Artificial Intelligence · Computer Science 2012-06-18 Yan Radovilsky , Solomon Eyal Shimony

Variants of the GSEMO algorithm using multi-objective formulations have been successfully analyzed and applied to optimize chance-constrained submodular functions. However, due to the effect of the increasing population size of the GSEMO…

Neural and Evolutionary Computing · Computer Science 2024-08-08 Xiankun Yan , Aneta Neumann , Frank Neumann

We study the problem of scheduling sensors in a resource-constrained linear dynamical system, where the objective is to select a small subset of sensors from a large network to perform the state estimation task. We formulate this problem as…

Systems and Control · Computer Science 2018-04-05 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

Foundational models such as the Segment Anything Model (SAM) are gaining traction in medical imaging segmentation, supporting multiple downstream tasks. However, such models are supervised in nature, still relying on large annotated…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Aishik Konwer , Zhijian Yang , Erhan Bas , Cao Xiao , Prateek Prasanna , Parminder Bhatia , Taha Kass-Hout

Automatic Essay Scoring (AES) assigns scores to student essays, reducing the grading workload for instructors. Developing a scoring system capable of handling essays across diverse prompts is challenging due to the flexibility and diverse…

Computation and Language · Computer Science 2025-02-14 Zhaoyi Joey Hou , Alejandro Ciuba , Xiang Lorraine Li

Large-scale subset selection asks for a small useful set of examples, features, sensors, seed users, or context passages from an enormous ground set. Submodular maximization is a canonical model for such diminishing-returns problems, but…

Data Structures and Algorithms · Computer Science 2026-05-07 Alan Kuhnle

Feature extraction from unstructured text is a critical step in many downstream classification pipelines, yet current approaches largely rely on hand-crafted prompts or fixed feature schemas. We formulate feature discovery as a…

Computation and Language · Computer Science 2026-01-21 Adrian Cosma , Oleg Szehr , David Kletz , Alessandro Antonucci , Olivier Pelletier
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