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Many machine learning tasks such as multiple instance learning, 3D shape recognition, and few-shot image classification are defined on sets of instances. Since solutions to such problems do not depend on the order of elements of the set,…

Machine Learning · Computer Science 2019-05-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Adam R. Kosiorek , Seungjin Choi , Yee Whye Teh

In many real-world applications, modeling both the internal structure of sets and their temporal relationships is essential for capturing complex underlying patterns. Sequential multiple-instance learning aims to address this challenge by…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Athanasios Efthymiou , Stevan Rudinac , Monika Kackovic , Nachoem Wijnberg , Marcel Worring

Representations of sets are challenging to learn because operations on sets should be permutation-invariant. To this end, we propose a Permutation-Optimisation module that learns how to permute a set end-to-end. The permuted set can be…

Machine Learning · Computer Science 2019-01-16 Yan Zhang , Jonathon Hare , Adam Prügel-Bennett

Machine learning on sets towards sequential output is an important and ubiquitous task, with applications ranging from language modeling and meta-learning to multi-agent strategy games and power grid optimization. Combining elements of…

Machine Learning · Computer Science 2021-09-10 Mateusz Jurewicz , Leon Strømberg-Derczynski

This paper addresses the task of set prediction using deep feed-forward neural networks. A set is a collection of elements which is invariant under permutation and the size of a set is not fixed in advance. Many real-world problems, such as…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Hamid Rezatofighi , Tianyu Zhu , Roman Kaskman , Farbod T. Motlagh , Qinfeng Shi , Anton Milan , Daniel Cremers , Laura Leal-Taixé , Ian Reid

Many real-world problems, e.g. object detection, have outputs that are naturally expressed as sets of entities. This creates a challenge for traditional deep neural networks which naturally deal with structured outputs such as vectors,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 S. Hamid Rezatofighi , Roman Kaskman , Farbod T. Motlagh , Qinfeng Shi , Daniel Cremers , Laura Leal-Taixé , Ian Reid

Conventional machine learning algorithms have traditionally been designed under the assumption that input data follows a vector-based format, with an emphasis on vector-centric paradigms. However, as the demand for tasks involving set-based…

Machine Learning · Computer Science 2024-04-01 Masanari Kimura , Ryotaro Shimizu , Yuki Hirakawa , Ryosuke Goto , Yuki Saito

Named entity recognition (NER) is a widely studied task in natural language processing. Recently, a growing number of studies have focused on the nested NER. The span-based methods, considering the entity recognition as a span…

Computation and Language · Computer Science 2021-06-22 Zeqi Tan , Yongliang Shen , Shuai Zhang , Weiming Lu , Yueting Zhuang

We study the problem of learning permutation invariant representations that can capture "flexible" notions of containment. We formalize this problem via a measure theoretic definition of multisets, and obtain a theoretically-motivated…

Machine Learning · Computer Science 2019-11-21 Vasco Portilheiro

The prevalent approach to sequence to sequence learning maps an input sequence to a variable length output sequence via recurrent neural networks. We introduce an architecture based entirely on convolutional neural networks. Compared to…

Computation and Language · Computer Science 2017-07-26 Jonas Gehring , Michael Auli , David Grangier , Denis Yarats , Yann N. Dauphin

In this thesis, we develop various techniques for working with sets in machine learning. Each input or output is not an image or a sequence, but a set: an unordered collection of multiple objects, each object described by a feature vector.…

Machine Learning · Computer Science 2021-03-09 Yan Zhang

Transformer architectures, capable of capturing sequential dependencies in the history of user interactions, have become the dominant approach in sequential recommender systems. Despite their success, such models consider sequence elements…

Information Retrieval · Computer Science 2026-03-02 Artur Gimranov , Viacheslav Yusupov , Elfat Sabitov , Tatyana Matveeva , Anton Lysenko , Ruslan Israfilov , Evgeny Frolov

Temporal set prediction involves forecasting the elements that will appear in the next set, given a sequence of prior sets, each containing a variable number of elements. Existing methods often rely on intricate architectures with…

Machine Learning · Computer Science 2025-04-25 Ashish Ranjan , Ayush Agarwal , Shalin Barot , Sushant Kumar

Transformer architectures have facilitated the development of large-scale and general-purpose sequence models for prediction tasks in natural language processing and computer vision, e.g., GPT-3 and Swin Transformer. Although originally…

Machine Learning · Computer Science 2023-06-27 Muning Wen , Runji Lin , Hanjing Wang , Yaodong Yang , Ying Wen , Luo Mai , Jun Wang , Haifeng Zhang , Weinan Zhang

While large language models (LLMs) demonstrate impressive capabilities across numerous applications, their robustness remains a critical concern. This paper is motivated by a specific vulnerability: the order sensitivity of LLMs. This…

Machine Learning · Computer Science 2025-05-22 Beni Egressy , Jan Stühmer

To improve persistence diagram representation learning, we propose Multiset Transformer. This is the first neural network that utilizes attention mechanisms specifically designed for multisets as inputs and offers rigorous theoretical…

Machine Learning · Computer Science 2024-11-25 Minghua Wang , Ziyun Huang , Jinhui Xu

We present a novel approach for learning to predict sets using deep learning. In recent years, deep neural networks have shown remarkable results in computer vision, natural language processing and other related problems. Despite their…

Computer Vision and Pattern Recognition · Computer Science 2017-11-23 S. Hamid Rezatofighi , Anton Milan , Qinfeng Shi , Anthony Dick , Ian Reid

There is mounting evidence that existing neural network models, in particular the very popular sequence-to-sequence architecture, struggle to systematically generalize to unseen compositions of seen components. We demonstrate that one of…

Computation and Language · Computer Science 2022-03-23 Hao Zheng , Mirella Lapata

In this paper, we consider the problem of learning functions over sets, i.e., functions that are invariant to permutations of input set items. Recent approaches of pooling individual element embeddings can necessitate extremely large…

Machine Learning · Computer Science 2020-01-13 Chirag Pabbaraju , Prateek Jain

Recent progress on parse tree encoder for sentence representation learning is notable. However, these works mainly encode tree structures recursively, which is not conducive to parallelization. On the other hand, these works rarely take…

Computation and Language · Computer Science 2022-05-10 Junhua Ma , Jiajun Li , Yuxuan Liu , Shangbo Zhou , Xue Li
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