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The fuzzy rough approximation operator serves as the cornerstone of fuzzy rough set theory and its practical applications. Axiomatization is a crucial approach in the exploration of fuzzy rough sets, aiming to offer a clear and direct…

Logic · Mathematics 2024-08-16 Lingqiang Li , Qiu Jin

This work presents FG-Net, a general deep learning framework for large-scale point clouds understanding without voxelizations, which achieves accurate and real-time performance with a single NVIDIA GTX 1080 GPU. First, a novel noise and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Kangcheng Liu , Zhi Gao , Feng Lin , Ben M. Chen

Clustering is essential in data analysis and machine learning, but traditional algorithms like $k$-means and Gaussian Mixture Models (GMM) often fail with nonconvex clusters. To address the challenge, we introduce the Flexible Bivariate…

Machine Learning · Computer Science 2025-02-28 Yung-Peng Hsu , Hung-Hsuan Chen

This paper introduces a novel approach to enhance uncertainty representation, offering decision-makers a more comprehensive perspective for improved decision-making outcomes. We propose Generalized Orbicular (m,n,o) T-Spherical Fuzzy Set…

Computational Engineering, Finance, and Science · Computer Science 2024-07-02 Yasir Akhtar , Mehboob Ali , Miin-Shen Yang

Deep learning models have achieved remarkable success in computer vision but still rely heavily on large-scale labeled data and tend to overfit when data is limited or distributions shift. Data augmentation -- particularly mask-based…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Shuyin Xia , Fan Chen , Dawei Dai , Meng Yang , Junwei Han , Xinbo Gao , Guoyin Wang

Mammalian brains handle complex reasoning tasks in a gestalt manner by integrating information from regions of the brain that are specialised to individual sensory modalities. This allows for improved robustness and better generalisation…

Computer Vision and Pattern Recognition · Computer Science 2020-11-20 Aiswarya Akumalla , Seth Haney , Maksim Bazhenov

We present a new distributed fuzzy partitioning method to reduce the complexity of multi-way fuzzy decision trees in Big Data classification problems. The proposed algorithm builds a fixed number of fuzzy sets for all variables and adjusts…

Machine Learning · Computer Science 2019-03-04 Mikel Elkano , Mikel Uriz , Humberto Bustince , Mikel Galar

Changepoint detection is the problem of finding abrupt or gradual changes in time series data when the distribution of the time series changes significantly. There are many sophisticated statistical algorithms for solving changepoint…

Methodology · Statistics 2020-10-14 Ritwik Bhaduri , Subhrajyoty Roy , Sankar K. Pal

Micro-scale mechanisms, such as inter-particle and particle-fluid interactions, govern the behaviour of granular systems. While particle-scale simulations provide detailed insights into these interactions, their computational cost is often…

This paper proposes a novel fuzzy action selection method to leverage human knowledge in reinforcement learning problems. Based on the estimates of the most current action-state values, the proposed fuzzy nonlinear mapping as-signs each…

Artificial Intelligence · Computer Science 2021-06-15 Mohsen Annabestani , Ali Abedi , Mohammad Reza Nematollahi , Mohammad Bagher Naghibi Sis-tani

General fuzzy min-max neural network (GFMMNN) is one of the efficient neuro-fuzzy systems for data classification. However, one of the downsides of its original learning algorithms is the inability to handle and learn from the…

Machine Learning · Computer Science 2020-10-01 Thanh Tung Khuat , Bogdan Gabrys

Complex instruction-following with elaborate constraints is imperative for Large Language Models (LLMs). While existing methods have constructed data for complex instruction alignment, they all rely on a more advanced model, especially…

Computation and Language · Computer Science 2025-06-02 Hui Huang , Jiaheng Liu , Yancheng He , Shilong Li , Bing Xu , Conghui Zhu , Muyun Yang , Tiejun Zhao

Link prediction is crucial for understanding complex networks but traditional Graph Neural Networks (GNNs) often rely on random negative sampling, leading to suboptimal performance. This paper introduces Fuzzy Graph Attention Networks…

Machine Learning · Computer Science 2025-02-04 Jinming Xing , Ruilin Xing , Chang Xue , Dongwen Luo

Fuzzy rule-based model is a powerful tool for imitating the human way of thinking and solving uncertainty-related problems as it allows for understandable and interpretable rule bases. The objective of this paper is to study the…

Artificial Intelligence · Computer Science 2020-06-16 Sujatha A , L Govindaraju , N Shivakumar

Clustering multivariate time series (MTS) is challenging due to non-stationary cross-dependencies, noise contamination, and gradual or overlapping state boundaries. We introduce a robust fuzzy clustering framework in the spectral domain…

Applications · Statistics 2025-11-03 Ziling Ma , Mara Sherlin Talento , Ying Sun , Hernando Ombao

Existing deep neural networks, say for image classification, have been shown to be vulnerable to adversarial images that can cause a DNN misclassification, without any perceptible change to an image. In this work, we propose shock absorbing…

Machine Learning · Computer Science 2019-09-19 Kevin Eykholt , Swati Gupta , Atul Prakash , Amir Rahmati , Pratik Vaishnavi , Haizhong Zheng

In this paper, we propose a new fuzzy clustering algorithm based on the mode-seeking framework. Given a dataset in $\mathbb{R}^d$, we define regions of high density that we call cluster cores. We then consider a random walk on a…

Machine Learning · Statistics 2016-06-23 Thomas Bonis , Steve Oudot

In the recent advancement of multimedia technologies, it becomes a major concern of detecting visual attention regions in the field of image processing. The popularity of the terminal devices in a heterogeneous environment of the multimedia…

Computer Vision and Pattern Recognition · Computer Science 2012-06-19 Koushik Mondal , Paramartha Dutta , Siddhartha Bhattacharyya

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We…

Logic · Mathematics 2015-02-24 İrfan Deli , Naim Çağman

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

Machine Learning · Computer Science 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig