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Video summarization is a task of shortening a video by choosing a subset of frames while preserving its essential moments. Despite the innate subjectivity of the task, previous works have deterministically regressed to an averaged frame…

Machine Learning · Computer Science 2025-10-10 Kwanseok Kim , Jaehoon Hahm , Sumin Kim , Jinhwan Sul , Byunghak Kim , Joonseok Lee

A robust summarization system should be able to capture the gist of the document, regardless of the specific word choices or noise in the input. In this work, we first explore the summarization models' robustness against perturbations…

Computation and Language · Computer Science 2023-06-05 Xiuying Chen , Guodong Long , Chongyang Tao , Mingzhe Li , Xin Gao , Chengqi Zhang , Xiangliang Zhang

Submodularity is an important property of set functions and has been extensively studied in the literature. It models set functions that exhibit a diminishing returns property, where the marginal value of adding an element to a set…

Data Structures and Algorithms · Computer Science 2020-11-03 Gamal Sallam , Zizhan Zheng , Jie Wu , Bo Ji

We study the problem of selecting most informative subset of a large observation set to enable accurate estimation of unknown parameters. This problem arises in a variety of settings in machine learning and signal processing including…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

We study a problem of optimal information gathering from multiple data providers that need to be incentivized to provide accurate information. This problem arises in many real world applications that rely on crowdsourced data sets, but…

Computer Science and Game Theory · Computer Science 2017-11-27 Goran Radanovic , Adish Singla , Andreas Krause , Boi Faltings

Multimodal summarization usually suffers from the problem that the contribution of the visual modality is unclear. Existing multimodal summarization approaches focus on designing the fusion methods of different modalities, while ignoring…

Computation and Language · Computer Science 2023-07-07 Min Xiao , Junnan Zhu , Haitao Lin , Yu Zhou , Chengqing Zong

Clustering is a fundamental task in unsupervised learning, but most existing methods heavily rely on hyperparameters such as the number of clusters or other sensitive settings, limiting their applicability in real-world scenarios. To…

Machine Learning · Computer Science 2026-03-25 Lijun Zhang , Suyuan Liu , Siwei Wang , Shengju Yu , Xueling Zhu , Miaomiao Li , Xinwang Liu

Research on mid-level image representations has conventionally concentrated relatively obvious attributes and overlooked non-obvious attributes, i.e., characteristics that are not readily observable when images are viewed independently of…

Information Retrieval · Computer Science 2014-09-10 Mark Melenhorst , María Menéndez Blanco , Martha Larson

We study the problem of estimating a random process from the observations collected by a network of sensors that operate under resource constraints. When the dynamics of the process and sensor observations are described by a state-space…

Signal Processing · Electrical Eng. & Systems 2018-07-24 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

Submodularity is one of the most well-studied properties of problem classes in combinatorial optimization and many applications of machine learning and data mining, with strong implications for guaranteed optimization. In this thesis, we…

Machine Learning · Computer Science 2019-12-19 Yatao An Bian

In machine learning and big data, the optimization objectives based on set-cover, entropy, diversity, influence, feature selection, etc. are commonly modeled as submodular functions. Submodular (function) maximization is generally NP-hard,…

Data Structures and Algorithms · Computer Science 2022-12-13 Haotian Zhang , Rao Li , Zewei Wu , Guodong Sun

The aim of this paper is twofold: In the first part, we leverage recent results on scenario design to develop randomized algorithmsfor approximating the image set of a nonlinear mapping, that is, a (possibly noisy) mapping of a set via a…

Optimization and Control · Mathematics 2015-07-30 Fabrizio Dabbene , Didier Henrion , Constantino Lagoa , Pavel Shcherbakov

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

Quantum Physics · Physics 2009-11-07 C. D'Helon , V. Protopopescu

We consider the problem of maximizing non-negative non-decreasing set functions. Although most of the recent work focus on exploiting submodularity, it turns out that several objectives we encounter in practice are not submodular.…

Data Structures and Algorithms · Computer Science 2018-06-19 Gaurav Gupta , Sergio Pequito , Paul Bogdan

We define the supermodular rank of a function on a lattice. This is the smallest number of terms needed to decompose it into a sum of supermodular functions. The supermodular summands are defined with respect to different partial orders. We…

Combinatorics · Mathematics 2023-05-25 Rishi Sonthalia , Anna Seigal , Guido Montufar

Large multimodal models (LMMs) have achieved high performance in vision-language tasks involving single image but they struggle when presented with a collection of multiple images (Multiple Image Question Answering scenario). These tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Aaryan Sharma , Shivansh Gupta , Samar Agarwal , Vishak Prasad C. , Ganesh Ramakrishnan

With the rapid increase of multimedia data, a large body of literature has emerged to work on multimodal summarization, the majority of which target at refining salient information from textual and visual modalities to output a pictorial…

Computation and Language · Computer Science 2022-02-16 Zhengkun Zhang , Xiaojun Meng , Yasheng Wang , Xin Jiang , Qun Liu , Zhenglu Yang

Novel neural architectures, training strategies, and the availability of large-scale corpora haven been the driving force behind recent progress in abstractive text summarization. However, due to the black-box nature of neural models,…

Computation and Language · Computer Science 2021-07-27 Jesse Vig , Wojciech Kryściński , Karan Goel , Nazneen Fatema Rajani

We consider the maximization problem of monotone submodular functions under an uncertain knapsack constraint. Specifically, the problem is discussed in the situation that the knapsack capacity is not given explicitly and can be accessed…

Data Structures and Algorithms · Computer Science 2018-03-08 Yasushi Kawase , Hanna Sumita , Takuro Fukunaga

With increasing volume of data being used across machine learning tasks, the capability to target specific subsets of data becomes more important. To aid in this capability, the recently proposed Submodular Mutual Information (SMI) has been…

Machine Learning · Computer Science 2024-10-28 Nathan Beck , Truong Pham , Rishabh Iyer