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Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

Despite significant effort, building models that are both interpretable and accurate is an unresolved challenge for many pattern recognition problems. In general, rule-based and linear models lack accuracy, while deep learning…

Artificial Intelligence · Computer Science 2020-05-12 K. Darshana Abeyrathna , Ole-Christoffer Granmo , Morten Goodwin

Recent advancements in algorithms for sequential decision-making under imperfect information have shown remarkable success in large games such as limit- and no-limit poker. These algorithms traditionally formalize the games using the…

Computer Science and Game Theory · Computer Science 2023-12-07 Vojtěch Kovařík , David Milec , Michal Šustr , Dominik Seitz , Viliam Lisý

In this paper, we apply a new promising tool for pattern classification, namely, the Tsetlin Machine (TM), to the field of disease forecasting. The TM is interpretable because it is based on manipulating expressions in propositional logic,…

Machine Learning · Computer Science 2019-06-25 K. Darshana Abeyrathna , Ole-Christoffer Granmo , Xuan Zhang , Morten Goodwin

Machine Learning has become an integral part of engineering design and decision making in several domains, including sports. Deep Neural Networks (DNNs) have been the state-of-the-art methods for predicting outcomes of professional sports…

Machine Learning · Computer Science 2022-06-22 Abhinav Lalwani , Aman Saraiya , Apoorv Singh , Aditya Jain , Tirtharaj Dash

The game of Hex has two players who take turns placing stones of their respective colors on the hexagons of a rhombus-shaped hexagonal grid. Black wins by completing a crossing between two opposite edges, while White wins by completing a…

Probability · Mathematics 2009-02-25 Yuval Peres , Oded Schramm , Scott Sheffield , David B. Wilson

Tic Tac Toe is amongst the most well-known games. It has already been shown that it is a biased game, giving more chances to win for the first player leaving only a draw or a loss as possibilities for the opponent, assuming both the players…

Artificial Intelligence · Computer Science 2023-03-15 Bhavuk Kalra

Data modeling using Tsetlin machines (TMs) is all about building logical rules from the data features. The decisions of the model are based on a combination of these logical rules. Hence, the model is fully transparent and it is possible to…

In this paper I argue that the search for explainable models and interpretable decisions in AI must be reformulated in terms of the broader project of offering a pragmatic and naturalistic account of understanding in AI. Intuitively, the…

Artificial Intelligence · Computer Science 2020-06-23 Andrés Páez

Large language models (LLMs) are powerful AI tools that can generate and comprehend natural language text and other complex information. However, the field lacks a mathematical framework to systematically describe, compare and improve LLMs.…

Machine Learning · Computer Science 2023-11-07 Javier González , Aditya V. Nori

In multi-player card games such as Skat or Bridge, the early stages of the game, such as bidding, game selection, and initial card selection, are often more critical to the success of the play than refined middle- and end-game play. At the…

Artificial Intelligence · Computer Science 2025-12-18 Stefan Edelkamp

The Tsetlin Machine (TM) is a machine learning algorithm founded on the classical Tsetlin Automaton (TA) and game theory. It further leverages frequent pattern mining and resource allocation principles to extract common patterns in the…

Machine Learning · Computer Science 2020-04-08 Saeed Rahimi Gorji , Ole-Christoffer Granmo , Sondre Glimsdal , Jonathan Edwards , Morten Goodwin

This paper is about 3-terminal regions in Hex. A 3-terminal region is a region of the Hex board that is completely surrounded by black and white stones, in such a way that the black boundary stones form 3 connected components. We…

Combinatorics · Mathematics 2025-08-21 Eric Demer , Peter Selinger

With the availability of large databases and recent improvements in deep learning methodology, the performance of AI systems is reaching or even exceeding the human level on an increasing number of complex tasks. Impressive examples of this…

Artificial Intelligence · Computer Science 2017-08-29 Wojciech Samek , Thomas Wiegand , Klaus-Robert Müller

Starting with early successes in computer vision tasks, deep learning based techniques have since overtaken state of the art approaches in a multitude of domains. However, it has been demonstrated time and again that these techniques fail…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Soumadeep Saha , Saptarshi Saha , Utpal Garain

We propose a multilayered symbolic framework for general graph classification that leverages sparse binary hypervectors and Tsetlin Machines. Each graph is encoded through structured message passing, where node, edge, and attribute…

Machine Learning · Computer Science 2025-07-23 Christian D. Blakely

Understanding how people behave in strategic settings--where they make decisions based on their expectations about the behavior of others--is a long-standing problem in the behavioral sciences. We conduct the largest study to date of…

General Economics · Economics 2024-08-16 Jian-Qiao Zhu , Joshua C. Peterson , Benjamin Enke , Thomas L. Griffiths

Reasoning is not just about solving problems -- it is also about evaluating which problems are worth solving at all. Evaluations of artificial intelligence (AI) systems primarily focused on problem solving, historically by studying how…

Embedding words in vector space is a fundamental first step in state-of-the-art natural language processing (NLP). Typical NLP solutions employ pre-defined vector representations to improve generalization by co-locating similar words in…

Computation and Language · Computer Science 2023-01-03 Bimal Bhattarai , Ole-Christoffer Granmo , Lei Jiao , Rohan Yadav , Jivitesh Sharma

The Tsetlin Machine (TM) is a novel alternative to deep neural networks (DNNs). Unlike DNNs, which rely on multi-path arithmetic operations, a TM learns propositional logic patterns from data literals using Tsetlin automata. This…

Machine Learning · Computer Science 2025-02-11 Shengyu Duan , Rishad Shafik , Alex Yakovlev