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While LLMs have grown popular in sequence labeling, linear-chain conditional random fields (CRFs) remain a popular alternative with the ability to directly model interactions between labels. However, the Markov assumption limits them to %…

Machine Learning · Computer Science 2025-06-17 Sean Papay , Roman Klinger , Sebastian Pado

In order to give appropriate semantics to qualitative conditionals of the form "if A then normally B", ordinal conditional functions (OCFs) ranking the possible worlds according to their degree of plausibility can be used. An OCF accepting…

Artificial Intelligence · Computer Science 2011-08-31 Christoph Beierle , Gabriele Kern-Isberner , Karl Södler

Given a string $P$ of length $m$, a longer string $T$ of length $n>m$, and two integers $l\geq 0$ and $r\geq 0$, the context of $P$ in $T$ is the set of all string pairs $(L,R)$, with $|L|=l$ and $|R|=r$, such that the string $LPR$ occurs…

Data Structures and Algorithms · Computer Science 2025-06-24 Ling Li , Daniel Gibney , Sharma V. Thankachan , Solon P. Pissis , Grigorios Loukides

Various grammar compression algorithms have been proposed in the last decade. A grammar compression is a restricted CFG deriving the string deterministically. An efficient grammar compression develops a smaller CFG by finding duplicated…

Data Structures and Algorithms · Computer Science 2016-09-01 Shouhei Fukunaga , Yoshimasa Takabatake , I Tomohiro , Hiroshi Sakamoto

Frequent pattern mining is widely used to find ``important'' or ``interesting'' patterns in data. While it is not easy to mathematically define such patterns, maximal frequent patterns are promising candidates, as frequency is a natural…

Data Structures and Algorithms · Computer Science 2025-04-08 Giovanni Buzzega , Alessio Conte , Yasuaki Kobayashi , Kazuhiro Kurita , Giulia Punzi

The paper proposes a numerically stable recursive algorithm for the exact computation of the linear-chain conditional random field gradient. It operates as a forward algorithm over the log-domain expectation semiring and has the purpose of…

Artificial Intelligence · Computer Science 2012-05-31 Velimir M. Ilic , Dejan I. Mancev , Branimir T. Todorovic , Miomir S. Stankovic

Pixel-level labelling tasks, such as semantic segmentation, play a central role in image understanding. Recent approaches have attempted to harness the capabilities of deep learning techniques for image recognition to tackle pixel-level…

Computer Vision and Pattern Recognition · Computer Science 2016-04-15 Shuai Zheng , Sadeep Jayasumana , Bernardino Romera-Paredes , Vibhav Vineet , Zhizhong Su , Dalong Du , Chang Huang , Philip H. S. Torr

In this paper, we study the general problem of optimizing a convex function $F(L)$ over the set of $p \times p$ matrices, subject to rank constraints on $L$. However, existing first-order methods for solving such problems either are too…

Machine Learning · Statistics 2017-12-12 Mohammadreza Soltani , Chinmay Hegde

Considering the worst-case scenario, junction tree algorithm remains the most general solution for exact MAP inference with polynomial run-time guarantees. Unfortunately, its main tractability assumption requires the treewidth of a…

Discrete Mathematics · Computer Science 2022-02-10 Alexander Bauer , Shinichi Nakajima

Many empirical studies have demonstrated the performance benefits of conditional computation in neural networks, including reduced inference time and power consumption. We study the fundamental limits of neural conditional computation from…

Machine Learning · Computer Science 2023-03-21 Erdem Koyuncu

We consider the problem of training probabilistic conditional random fields (CRFs) in the context of a task where performance is measured using a specific loss function. While maximum likelihood is the most common approach to training CRFs,…

Machine Learning · Statistics 2015-03-19 Maksims N. Volkovs , Hugo Larochelle , Richard S. Zemel

Conditional Random Field (CRF) and recurrent neural models have achieved success in structured prediction. More recently, there is a marriage of CRF and recurrent neural models, so that we can gain from both non-linear dense features and…

Computation and Language · Computer Science 2016-11-15 Shuming Ma , Xu Sun

This paper proposes hybrid semi-Markov conditional random fields (SCRFs) for neural sequence labeling in natural language processing. Based on conventional conditional random fields (CRFs), SCRFs have been designed for the tasks of…

Computation and Language · Computer Science 2018-05-11 Zhi-Xiu Ye , Zhen-Hua Ling

CRF has been used as a powerful model for statistical sequence labeling. For neural sequence labeling, however, BiLSTM-CRF does not always lead to better results compared with BiLSTM-softmax local classification. This can be because the…

Computation and Language · Computer Science 2019-11-11 Leyang Cui , Yue Zhang

We compare different models for low resource multi-task sequence tagging that leverage dependencies between label sequences for different tasks. Our analysis is aimed at datasets where each example has labels for multiple tasks. Current…

Computation and Language · Computer Science 2020-05-04 Jonas Pfeiffer , Edwin Simpson , Iryna Gurevych

In this paper, we will show that the recently introduced graphical model: Conditional Random Fields (CRF) provides a template to integrate micro-level information about biological entities into a mathematical model to understand their…

Machine Learning · Computer Science 2020-08-07 Lior Lukov , Sanjay Chawla , Wei Liu , Brett Church , Gaurav Pandey

Superpixel-based Higher-order Conditional random fields (SP-HO-CRFs) are known for their effectiveness in enforcing both short and long spatial contiguity for pixelwise labelling in computer vision. However, their higher-order potentials…

Computer Vision and Pattern Recognition · Computer Science 2018-04-09 Li Sulimowicz , Ishfaq Ahmad , Alexander Aved

We consider the following conditional linear regression problem: the task is to identify both (i) a $k$-DNF condition $c$ and (ii) a linear rule $f$ such that the probability of $c$ is (approximately) at least some given bound $\mu$, and…

Machine Learning · Computer Science 2018-06-28 John Hainline , Brendan Juba , Hai S. Le , David Woodruff

Estimating probability distribution is one of the core issues in the NLP field. However, in both deep learning (DL) and pre-DL eras, unlike the vast applications of linear-chain CRF in sequence labeling tasks, very few works have applied…

Computation and Language · Computer Science 2020-08-11 Yu Zhang , Houquan Zhou , Zhenghua Li

A fundamental challenge for running machine learning algorithms on battery-powered devices is the time and energy limitations, as these devices have constraints on resources. There are resource-efficient classifier algorithms that can run…

Machine Learning · Computer Science 2020-11-20 Hamidreza Keshavarz , Mohammad Saniee Abadeh , Reza Rawassizadeh