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Decision trees have been widely used in machine learning. However, due to some reasons, data collecting in real world contains a fuzzy and uncertain form. The decision tree should be able to handle such fuzzy data. This paper presents a…

Artificial Intelligence · Computer Science 2014-08-14 Jooyeol Yun , Jun won Seo , Taeseon Yoon

Interpreting the reasoning process from questions to answers poses a challenge in approaching explainable QA. A recently proposed structured reasoning format, entailment tree, manages to offer explicit logical deductions with entailment…

Computation and Language · Computer Science 2022-11-01 Tengxiao Liu , Qipeng Guo , Xiangkun Hu , Yue Zhang , Xipeng Qiu , Zheng Zhang

Branching Time Active Inference (Champion et al., 2021b,a) is a framework proposing to look at planning as a form of Bayesian model expansion. Its root can be found in Active Inference (Friston et al., 2016; Da Costa et al., 2020; Champion…

Machine Learning · Computer Science 2021-12-15 Théophile Champion , Marek Grześ , Howard Bowman

Large language models (LLMs) increasingly rely on thinking models that externalize intermediate steps and allocate extra test-time compute, with think-twice strategies showing that a deliberate second pass can elicit stronger reasoning. In…

Computation and Language · Computer Science 2026-01-30 Yizhu Jiao , Jiaqi Zeng , Julien Veron Vialard , Oleksii Kuchaiev , Jiawei Han , Olivier Delalleau

BERT, which stands for Bidirectional Encoder Representations from Transformers, is a recently introduced language representation model based upon the transfer learning paradigm. We extend its fine-tuning procedure to address one of its…

Computation and Language · Computer Science 2019-10-25 Raghavendra Pappagari , Piotr Żelasko , Jesús Villalba , Yishay Carmiel , Najim Dehak

Self-attention has emerged as a vital component of state-of-the-art sequence-to-sequence models for natural language processing in recent years, brought to the forefront by pre-trained bi-directional Transformer models. Its effectiveness is…

Machine Learning · Computer Science 2020-06-23 Hyoungwook Nam , Seung Byum Seo , Vikram Sharma Mailthody , Noor Michael , Lan Li

We propose encoder-centric stepwise models for extractive summarization using structured transformers -- HiBERT and Extended Transformers. We enable stepwise summarization by injecting the previously generated summary into the structured…

Computation and Language · Computer Science 2020-10-07 Shashi Narayan , Joshua Maynez , Jakub Adamek , Daniele Pighin , Blaž Bratanič , Ryan McDonald

The sensitivity and frequency selectivity of hearing result from tuned amplification by an active process in the mechanoreceptive hair cells. In most vertebrates the active process stems from the active motility of hair bundles. The…

Neurons and Cognition · Quantitative Biology 2010-03-30 Tobias Reichenbach , A. J. Hudspeth

Thanks to works by M. Kontsevich and A. Zorich followed by C. Boissy, we have a classification of all Rauzy Classes of any given genus. It follows from these works that Rauzy Classes are closed under the operation of inverting the…

Dynamical Systems · Mathematics 2013-05-17 Jon Fickenscher

Presentations of Kan extensions of category actions provide a natural framework for expressing induced actions, and therefore a range of different combinatorial problems. Rewrite systems for Kan extensions have been defined and a variation…

Combinatorics · Mathematics 2007-05-23 Anne Heyworth

Several research initiatives have been proposed for computing similarity between two Fuzzy Sets in analysis through Fuzzy Rough Sets. These techniques yield two measures viz. lower similarity and upper similarity. While in most applications…

Artificial Intelligence · Computer Science 2021-07-05 Nidhika Yadav

Using Bayes's theorem, we derive a unit-wise recurrence as well as a backward recursion similar to the forward-backward algorithm. The resulting Bayesian recurrent units can be integrated as recurrent neural networks within deep learning…

Machine Learning · Statistics 2022-09-29 Alexandre Bittar , Philip N. Garner

A Sturmian sequence is an infinite nonperiodic string over two letters with minimal subword complexity. In two papers, the first written by Morse and Hedlund in 1940 and the second by Coven and Hedlund in 1973, a surprising correspondence…

Number Theory · Mathematics 2020-09-01 Jörg M. Thuswaldner

Rule-based classifier, that extract a subset of induced rules to efficiently learn/mine while preserving the discernibility information, plays a crucial role in human-explainable artificial intelligence. However, in this era of big data,…

Artificial Intelligence · Computer Science 2022-01-12 Suyun Zhao , Zhigang Dai , Xizhao Wang , Peng Ni , Hengheng Luo , Hong Chen , Cuiping Li

We propose injective generative models called Trumpets that generalize invertible normalizing flows. The proposed generators progressively increase dimension from a low-dimensional latent space. We demonstrate that Trumpets can be trained…

Machine Learning · Computer Science 2023-07-25 Konik Kothari , AmirEhsan Khorashadizadeh , Maarten de Hoop , Ivan Dokmanić

Incremental Decoding is an effective framework that enables the use of an offline model in a simultaneous setting without modifying the original model, making it suitable for Low-Latency Simultaneous Speech Translation. However, this…

Computation and Language · Computer Science 2024-01-12 Jiaxin Guo , Zhanglin Wu , Zongyao Li , Hengchao Shang , Daimeng Wei , Xiaoyu Chen , Zhiqiang Rao , Shaojun Li , Hao Yang

Solving complex mathematical problems via system-2 reasoning is a natural human skill, yet it remains a significant challenge for current large language models (LLMs). We identify the scarcity of deliberate multi-step reasoning data as a…

Artificial Intelligence · Computer Science 2024-12-25 Huanqia Cai , Yijun Yang , Zhifeng Li

We present an approach for recursively splitting and rephrasing complex English sentences into a novel semantic hierarchy of simplified sentences, with each of them presenting a more regular structure that may facilitate a wide variety of…

Computation and Language · Computer Science 2019-06-05 Christina Niklaus , Matthias Cetto , Andre Freitas , Siegfried Handschuh

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

Artificial Intelligence · Computer Science 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

Models need appropriate inductive biases to effectively learn from small amounts of data and generalize systematically outside of the training distribution. While Transformers are highly versatile and powerful, they can still benefit from…

Computation and Language · Computer Science 2024-07-08 Matthias Lindemann , Alexander Koller , Ivan Titov