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In this paper, we prove that finite state space non parametric hidden Markov models are identifiable as soon as the transition matrix of the latent Markov chain has full rank and the emission probability distributions are linearly…

Methodology · Statistics 2013-06-20 Elisabeth Gassiat , Alice Cleynen , Stéphane Robin

While local basis function (LBF) estimation algorithms, commonly used for identifying/tracking systems with time-varying parameters, demonstrate good performance under the assumption of normally distributed measurement noise, the estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Maciej Niedźwiecki , Artur Gańcza , Wojciech Żuławiński , Agnieszka Wyłomańska

Analysis of sequential event data has been recognized as one of the essential tools in data modeling and analysis field. In this paper, after the examination of its technical requirements and issues to model complex but practical situation,…

Artificial Intelligence · Computer Science 2015-08-21 Hiromi Narimatsu , Hiroyuki Kasai

This paper considers the problem of system identification (ID) of linear and nonlinear non-autonomous systems from noisy and sparse data. We propose and analyze an objective function derived from a Bayesian formulation for learning a hidden…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Nicholas Galioto , Alex Arkady Gorodetsky

Denoising diffusion probabilistic models (DDPM) are powerful hierarchical latent variable models with remarkable sample generation quality and training stability. These properties can be attributed to parameter sharing in the generative…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Giorgio Giannone , Didrik Nielsen , Ole Winther

Few-shot relation extraction with none-of-the-above (FsRE with NOTA) aims at predicting labels in few-shot scenarios with unknown classes. FsRE with NOTA is more challenging than the conventional few-shot relation extraction task, since the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Tianlin Guo , Lingling Zhang , Jiaxin Wang , Yuokuo Lei , Yifei Li , Haofen Wang , Jun Liu

Relation classification (RC) plays a pivotal role in both natural language understanding and knowledge graph completion. It is generally formulated as a task to recognize the relationship between two entities of interest appearing in a…

Computation and Language · Computer Science 2024-09-09 Miao Fan , Yeqi Bai , Mingming Sun , Ping Li

Even when using large multi-modal foundation models, few-shot learning is still challenging -- if there is no proper inductive bias, it is nearly impossible to keep the nuanced class attributes while removing the visually prominent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Zhongqi Yue , Pan Zhou , Richang Hong , Hanwang Zhang , Qianru Sun

Few-shot relation classification seeks to classify incoming query instances after meeting only few support instances. This ability is gained by training with large amount of in-domain annotated data. In this paper, we tackle an even harder…

Computation and Language · Computer Science 2020-12-15 Xiaoqing Geng , Xiwen Chen , Kenny Q. Zhu , Libin Shen , Yinggong Zhao

We present a new method for inferring hidden Markov models from noisy time sequences without the necessity of assuming a model architecture, thus allowing for the detection of degenerate states. This is based on the statistical prediction…

Quantitative Methods · Quantitative Biology 2012-01-24 David Kelly , Mark Dillingham , Andrew Hudson , Karoline Wiesner

Metric-based few-shot fine-grained image classification (FSFGIC) aims to learn a transferable feature embedding network by estimating the similarities between query images and support classes from very few examples. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Weichuan Zhang , Xuefang Liu , Zhe Xue , Yongsheng Gao , Changming Sun

This note carries three purposes involving our latest advances on the radial basis function (RBF) approach. First, we will introduce a new scheme employing the boundary knot method (BKM) to nonlinear convection-diffusion problem. It is…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 W. Chen , W. He

"Mixed Data" comprising a large number of heterogeneous variables (e.g. count, binary, continuous, skewed continuous, among other data types) are prevalent in varied areas such as genomics and proteomics, imaging genetics, national…

Statistics Theory · Mathematics 2014-11-04 Eunho Yang , Pradeep Ravikumar , Genevera I. Allen , Yulia Baker , Ying-Wooi Wan , Zhandong Liu

Few-shot image classification learns to recognize new categories from limited labelled data. Metric learning based approaches have been widely investigated, where a query sample is classified by finding the nearest prototype from the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-04 Zhizheng Zhang , Cuiling Lan , Wenjun Zeng , Zhibo Chen , Shih-Fu Chang

Few-shot semantic segmentation (FSS) aims to achieve novel objects segmentation with only a few annotated samples and has made great progress recently. Most of the existing FSS models focus on the feature matching between support and query…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Jie Liu , Yanqi Bao , Wenzhe Yin , Haochen Wang , Yang Gao , Jan-Jakob Sonke , Efstratios Gavves

We propose a Bayesian hidden Markov model for analyzing time series and sequential data where a special structure of the transition probability matrix is embedded to model explicit-duration semi-Markovian dynamics. Our formulation allows…

Methodology · Statistics 2022-05-23 Beniamino Hadj-Amar , Jack Jewson , Mark Fiecas

We introduce the first continuous-time score-based generative model that leverages fractional diffusion processes for its underlying dynamics. Although diffusion models have excelled at capturing data distributions, they still suffer from…

While convolutional neural networks (CNNs) trained by back-propagation have seen unprecedented success at semantic segmentation tasks, they are known to struggle on out-of-distribution data. Markov random fields (MRFs) on the other hand,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Mikael Brudfors , Yaël Balbastre , John Ashburner , Geraint Rees , Parashkev Nachev , Sébastien Ourselin , M. Jorge Cardoso

In few-shot classification tasks (so-called episodes), a small set of labeled support samples is provided during inference to aid the classification of unlabeled query samples. Metric-based models typically operate by computing similarities…

Machine Learning · Computer Science 2025-06-24 Xuanyu Zhuang , Geoffroy Peeters , Gaël Richard

Sequential data modeling and analysis have become indispensable tools for analyzing sequential data, such as time-series data, because larger amounts of sensed event data have become available. These methods capture the sequential structure…

Artificial Intelligence · Computer Science 2019-02-15 Hiromi Narimatsu , Hiroyuki Kasai
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