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Related papers: Integrating Case-Based and Rule-Based Reasoning: t…

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A plausible definition of "reasoning" could be "algebraically manipulating previously acquired knowledge in order to answer a new question". This definition covers first-order logical inference or probabilistic inference. It also includes…

Artificial Intelligence · Computer Science 2011-02-14 Leon Bottou

Reward models (RMs) play a crucial role in aligning large language models (LLMs) with human preferences and enhancing reasoning quality. Traditionally, RMs are trained to rank candidate outputs based on their correctness and coherence.…

Machine Learning · Computer Science 2025-02-21 Yuhui Xu , Hanze Dong , Lei Wang , Caiming Xiong , Junnan Li

Large Language Models (LLMs) have made notable progress in mathematical reasoning, yet often rely on single-paradigm reasoning, limiting their effectiveness across diverse tasks. We introduce Chain-of-Reasoning (CoR), a novel unified…

Abstraction and realization are bilateral processes that are key in deriving intelligence and creativity. In many domains, the two processes are approached through rules: high-level principles that reveal invariances within similar yet…

Machine Learning · Computer Science 2018-03-13 Haizi Yu , Tianxi Li , Lav R. Varshney

This article is a survey of results concerning an inequality, which may be seen as a versatile tool to solve problems in the domain of Applied Probability. The inequality, which we call BRS-inequality, gives a convenient upper bound for the…

Probability · Mathematics 2020-07-13 F. Thomas Bruss

This article introduces a novel heuristic for Task and Motion Planning (TAMP) named Interpretable Responsibility Sharing (IRS), which enhances planning efficiency in domestic robots by leveraging human-constructed environments and inherent…

Robotics · Computer Science 2026-03-17 Arda Sarp Yenicesu , Sepehr Nourmohammadi , Berk Cicek , Ozgur S. Oguz

Understanding the interaction between different road users is critical for road safety and automated vehicles (AVs). Existing mathematical models on this topic have been proposed based mostly on either cognitive or machine learning (ML)…

This paper introduces a new perspective of intelligent robots and systems control. The presented and proposed cognitive model: Memory, Learning and Recognition (MLR), is an effort to bridge the gap between Robotics, AI, Cognitive Science,…

Artificial Intelligence · Computer Science 2019-07-15 Aras R. Dargazany

Reinforcement learning (RL) has emerged as a critical technique for enhancing LLM-based deep search agents. However, existing approaches primarily rely on binary outcome rewards, which fail to capture the comprehensiveness and factuality of…

Computation and Language · Computer Science 2026-01-12 Jiajie Zhang , Xin Lv , Ling Feng , Lei Hou , Juanzi Li

Several techniques have been used to generate weather forecast texts. In this paper, case based reasoning (CBR) is proposed for weather forecast text generation because similar weather conditions occur over time and should have similar…

Artificial Intelligence · Computer Science 2015-09-04 Ibrahim Adeyanju

The paper advocates for LLMs to enhance the accessibility, usage and explainability of rule-based legal systems, contributing to a democratic and stakeholder-oriented view of legal technology. A methodology is developed to explore the…

Artificial Intelligence · Computer Science 2023-11-21 Marco Billi , Alessandro Parenti , Giuseppe Pisano , Marco Sanchi

Given a set of items and a set of evaluators who all individually rank them, how do we aggregate these evaluations into a single societal ranking? Work in social choice and statistics has produced many aggregation methods for this problem,…

Computer Science and Game Theory · Computer Science 2025-08-26 Ratip Emin Berker , Ben Armstrong , Vincent Conitzer , Nihar B. Shah

Humans, animals, and modern machine learning models exhibit impressive abilities to learn complex behaviors and generalize these behaviors to unseen situations. This ability requires us to learn rules and regularities that allow for such…

Machine Learning · Computer Science 2026-05-25 Luke Cheng , Samuel Lippl

This article presents the results of the research carried out on the development of a medical diagnostic system applied to the Acute Bacterial Meningitis, using the Case Based Reasoning methodology. The research was focused on the…

Artificial Intelligence · Computer Science 2010-04-28 Mariana Maceiras Cabrera , Ernesto Ocampo Edye

We propose the SupRB learning system, a new Pittsburgh-style learning classifier system (LCS) for supervised learning on multi-dimensional continuous decision problems. SupRB learns an approximation of a quality function from examples…

Machine Learning · Computer Science 2020-02-25 Michael Heider , David Pätzel , Jörg Hähner

General problems in analyzing information in a probabilistic database are considered. The practical difficulties (and occasional advantages) of storing uncertain data, of using it conventional forward- or backward-chaining inference…

Artificial Intelligence · Computer Science 2013-04-15 Matthew L. Ginsberg

Recent advances in synergizing large reasoning models (LRMs) with retrieval-augmented generation (RAG) have shown promising results, yet two critical challenges remain: (1) reasoning models typically operate from a single, unchallenged…

Artificial Intelligence · Computer Science 2026-01-12 Can Xu , Lingyong Yan , Jiayi Wu , Haosen Wang , Shuaiqiang Wang , Yuchen Li , Jizhou Huang , Dawei Yin , Xiang Li

Rule learning approaches for knowledge graph completion are efficient, interpretable and competitive to purely neural models. The rule aggregation problem is concerned with finding one plausibility score for a candidate fact which was…

Artificial Intelligence · Computer Science 2023-09-04 Patrick Betz , Stefan Lüdtke , Christian Meilicke , Heiner Stuckenschmidt

We present the Multi-vAlue Rule Set (MARS) model for interpretable classification with feature efficient presentations. MARS introduces a more generalized form of association rules that allows multiple values in a condition. Rules of this…

Artificial Intelligence · Computer Science 2017-10-17 Tong Wang

Parametric model order reduction using reduced basis methods can be an effective tool for obtaining quickly solvable reduced order models of parametrized partial differential equation problems. With speedups that can reach several orders of…

Numerical Analysis · Mathematics 2022-01-26 Mario Ohlberger , Stephan Rave