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We propose a novel framework that leverages large language models (LLMs) to guide the rank selection in tensor network models for higher-order data analysis. By utilising the intrinsic reasoning capabilities and domain knowledge of LLMs,…

机器学习 · 计算机科学 2024-10-15 Giorgos Iacovides , Wuyang Zhou , Danilo Mandic

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

机器学习 · 统计学 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

This paper investigates a representation language with flexibility inspired by probabilistic logic and compactness inspired by relational Bayesian networks. The goal is to handle propositional and first-order constructs together with…

Ranking and comparing items is crucial for collecting information about preferences in many areas, from marketing to politics. The Mallows rank model is among the most successful approaches to analyse rank data, but its computational…

统计方法学 · 统计学 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

人工智能 · 计算机科学 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

We document a connection between constraint reasoning and probabilistic reasoning. We present an algorithm, called {em probabilistic arc consistency}, which is both a generalization of a well known algorithm for arc consistency used in…

人工智能 · 计算机科学 2013-01-18 Michael C. Horsch , Bill Havens

Existing decision-theoretic reasoning frameworks such as decision networks use simple data structures and processes. However, decisions are often made based on complex data structures, such as social networks and protein sequences, and rich…

人工智能 · 计算机科学 2014-07-14 Brian E. Ruttenberg , Avi Pfeffer

Embedding words in a vector space has gained a lot of attention in recent years. While state-of-the-art methods provide efficient computation of word similarities via a low-dimensional matrix embedding, their motivation is often left…

计算与语言 · 计算机科学 2016-09-29 Shihao Ji , Hyokun Yun , Pinar Yanardag , Shin Matsushima , S. V. N. Vishwanathan

As engineered systems expand, become more interdependent, and operate in real-time, reliability assessment is indispensable to support investment and decision making. However, network reliability problems are known to be #P-complete, a…

数据结构与算法 · 计算机科学 2019-05-03 R. Paredes , L. Duenas-Osorio , K. S. Meel , M. Y. Vardi

Recently, Tensor Ring Networks (TRNs) have been applied in deep networks, achieving remarkable successes in compression ratio and accuracy. Although highly related to the performance of TRNs, rank selection is seldom studied in previous…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Nannan Li , Yu Pan , Yaran Chen , Zixiang Ding , Dongbin Zhao , Zenglin Xu

The analysis of decision making under uncertainty is closely related to the analysis of probabilistic inference. Indeed, much of the research into efficient methods for probabilistic inference in expert systems has been motivated by the…

人工智能 · 计算机科学 2013-03-25 Ross D. Shachter , Mark Alan Peot

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

数据结构与算法 · 计算机科学 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

Existing neural ranking models follow the text matching paradigm, where document-to-query relevance is estimated through predicting the matching score. Drawing from the rich literature of classical generative retrieval models, we introduce…

Random hypothesis sampling lies at the core of many popular robust fitting techniques such as RANSAC. In this paper, we propose a novel hypothesis sampling scheme based on incremental computation of distances between partial rankings…

计算机视觉与模式识别 · 计算机科学 2011-06-02 Hoi Sim Wong , Tat-Jun Chin , Jin Yu , David Suter

In this thesis, we focus on the design of an automatic algorithms that provide personalized ranking by adapting to the current conditions. To demonstrate the empirical efficiency of the proposed approaches we investigate their applications…

机器学习 · 统计学 2022-05-17 Aleksandra Burashnikova

PageRank is arguably the most popular ranking algorithm which is being applied in real systems ranging from information to biological and infrastructure networks. Despite its outstanding popularity and broad use in different areas of…

物理与社会 · 物理学 2015-12-09 Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang

We present a physically-inspired model and an efficient algorithm to infer hierarchical rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than simply ordinal ranks, and it formalizes the assumption that…

物理与社会 · 物理学 2018-06-14 Caterina De Bacco , Daniel B. Larremore , Cristopher Moore

We propose RoBiRank, a ranking algorithm that is motivated by observing a close connection between evaluation metrics for learning to rank and loss functions for robust classification. The algorithm shows a very competitive performance on…

机器学习 · 统计学 2014-08-22 Hyokun Yun , Parameswaran Raman , S. V. N. Vishwanathan

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

物理与社会 · 物理学 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

机器学习 · 计算机科学 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso