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A new method for multinomial inference is proposed by representing the cell probabilities as unordered segments on the unit interval and following Dempster-Shafer (DS) theory. The resulting DS posterior is then strengthened to improve…

Methodology · Statistics 2024-10-10 Earl C. Lawrence , Alexander C. Murph , Scott A. Vander Wiel , Chaunhai Liu

This paper is concerned with multi-modal data fusion (MMDF) under unexpected modality failures in nonlinear non-Gaussian dynamic processes. An efficient framework to tackle this problem is proposed. In particular, a notion termed modality…

Machine Learning · Computer Science 2021-11-24 Bin Liu

In the digital age of information overload and uncertainty, the authors propose the tDTSW model based on fuzzy logic to navigate governance complexities. This model transcends binary thinking, analyzes democracy, transparency, and social…

Computers and Society · Computer Science 2023-11-28 Carlos Medel-Ramírez , Hilario Medel-López , Jennifer Lara-Mérida

Knowledge distillation, the technique of transferring knowledge from large, complex models to smaller ones, marks a pivotal step towards efficient AI deployment. Distilling Step-by-Step~(DSS), a novel method utilizing chain-of-thought~(CoT)…

Computation and Language · Computer Science 2024-06-11 Xin Chen , Hanxian Huang , Yanjun Gao , Yi Wang , Jishen Zhao , Ke Ding

With the desire to apply the Dempster-Shafer theory to complex real world problems where the evidential strength is often imprecise and vague, several attempts have been made to generalize the theory. However, the important concept in the…

Artificial Intelligence · Computer Science 2013-04-10 John Yen

Density functional theory (DFT), one of the most widely utilized methods available to computational chemistry, fails to describe systems with statically correlated electrons. To address this shortcoming, in previous work we transformed DFT…

Chemical Physics · Physics 2023-01-02 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We study dynamics of cosmological models with diffusion effects modeling dark matter and dark energy interactions. We show the simple model with diffusion between the cosmological constant sector and dark matter, where the canonical scaling…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marek Szydlowski , Aleksander Stachowski

Diffusion models have achieved remarkable success across a range of generative tasks. Recent efforts to enhance diffusion model architectures have reimagined them as a form of multi-task learning, where each task corresponds to a denoising…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Byeongjun Park , Hyojun Go , Jin-Young Kim , Sangmin Woo , Seokil Ham , Changick Kim

Modeling of complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of…

Logic · Mathematics 2010-12-27 Boris Kovalerchuk , Leonid Perlovsky , Gregory Wheeler

In the field of data mining and machine learning, commonly used classification models cannot effectively learn in unbalanced data. In order to balance the data distribution before model training, oversampling methods are often used to…

Machine Learning · Computer Science 2024-03-13 Ming Zheng , Yang Yang , Zhi-Hang Zhao , Shan-Chao Gan , Yang Chen , Si-Kai Ni , Yang Lu

Decision Transformers (DT) play a crucial role in modern reinforcement learning, leveraging offline datasets to achieve impressive results across various domains. However, DT requires high-quality, comprehensive data to perform optimally.…

Artificial Intelligence · Computer Science 2025-05-15 Minh Hoang Nguyen , Linh Le Pham Van , Thommen George Karimpanal , Sunil Gupta , Hung Le

This paper suggests a new interpretation of the Dempster-Shafer theory in terms of probabilistic interpretation of plausibility. A new rule of combination of independent evidence is shown and its preservation of interpretation is…

Artificial Intelligence · Computer Science 2017-04-07 Mieczysław Kłopotek

In database theory, the term $\textit{database transformation}$ was used to refer to a unifying treatment for computable queries and updates. Recently, it was shown that non-deterministic database transformations can be captured exactly by…

Logic in Computer Science · Computer Science 2017-06-01 Flavio Ferrarotti , Klaus-Dieter Schewe , Loredana Tec , Qing Wang

In this paper, the Dempster-Shafer method is employed as the theoretical basis for creating data classification systems. Testing is carried out using three popular (multiple attribute) benchmark datasets that have two, three and four…

Machine Learning · Computer Science 2014-09-03 Qi Chen , Amanda Whitbrook , Uwe Aickelin , Chris Roadknight

Supervised fine-tuning (SFT) on instruction-following corpus is a crucial approach toward the alignment of large language models (LLMs). However, the performance of LLMs on standard knowledge and reasoning benchmarks tends to suffer from…

Computation and Language · Computer Science 2024-05-24 Tingchen Fu , Deng Cai , Lemao Liu , Shuming Shi , Rui Yan

This paper introduces the Dual-System Thinking (DST) model, a decision-theoretic framework that integrates psychological dual-process theories into economic modeling. A single cognitive weight parameter governs the relative influence of the…

Theoretical Economics · Economics 2026-05-28 Yusufcan Masatlioglu , Tri Phu Vu

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

Sequential recommendation (SR) aims to predict items that users may be interested in based on their historical behavior sequences. We revisit SR from a novel information-theoretic perspective and find that conventional sequential modeling…

Machine Learning · Computer Science 2024-11-04 Wenjia Xie , Hao Wang , Luankang Zhang , Rui Zhou , Defu Lian , Enhong Chen

Dempster/Shafer (D/S) theory has been advocated as a way of representing incompleteness of evidence in a system's knowledge base. Methods now exist for propagating beliefs through chains of inference. This paper discusses how rules with…

Artificial Intelligence · Computer Science 2013-04-10 Paul K. Black , Kathryn Blackmond Laskey

A novel template matching algorithm that can incorporate the concept of deformable parts, is presented in this paper. Unlike the deformable part model (DPM) employed in object recognition, the proposed template-matching approach called…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Hyungtae Lee , Heesung Kwon , Ryan M. Robinson , William D. Nothwang
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