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We propose a novel LLM-based framework for reasoning in discrete, game-theoretic tasks, illustrated with \emph{Tic-Tac-Toe}. The method integrates in-context learning with entropy-guided chain-of-thought (CoT) reasoning and adaptive context…

Computation and Language · Computer Science 2026-04-14 Tommaso Felice Banfi , Sashenka Gamage

The notion of tree entropy was introduced by the author as a normalized limit of the number of spanning trees in finite graphs, but is defined on random infinite rooted graphs. We give some new expressions for tree entropy; one uses…

Combinatorics · Mathematics 2010-04-27 Russell Lyons

This paper presents a command-line tool, called Entropia, that implements a family of conformance checking measures for process mining founded on the notion of entropy from information theory. The measures allow quantifying classical…

Large language models (LLMs) often suffer from hallucinations due to error accumulation in autoregressive decoding, where suboptimal early token choices misguide subsequent generation. Although multi-path decoding can improve robustness by…

Computation and Language · Computer Science 2026-05-21 Tianyu Zheng , Hong Wu , Jiaji Zhong

Generating mathematical equations from natural language requires an accurate understanding of the relations among math expressions. Existing approaches can be broadly categorized into token-level and expression-level generation. The former…

Computation and Language · Computer Science 2023-10-19 Wenqi Zhang , Yongliang Shen , Qingpeng Nong , Zeqi Tan , Yanna Ma , Weiming Lu

Machine learning is the dominant approach to artificial intelligence, through which computers learn from data and experience. In the framework of supervised learning, a necessity for a computer to learn from data accurately and efficiently…

Machine Learning · Statistics 2023-01-25 Amir R. Asadi

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Hongjian Xiao , Danilo P. Mandic

Speculative decoding accelerates large language model inference by drafting multiple candidate tokens and verifying them in a single forward pass. Candidates are organized as a tree: deeper trees accept more tokens per step, but adding…

Computation and Language · Computer Science 2026-04-03 Tao Jin , Phuong Minh Nguyen , Naoya Inoue

Organizations generate vast amounts of interconnected content across various platforms. While language models enable sophisticated reasoning for use in business applications, retrieving and contextualizing information from organizational…

Information Retrieval · Computer Science 2025-04-11 Adam McCabe , Matthew H. Chequers

We use reinforcement learning to learn tree-structured neural networks for computing representations of natural language sentences. In contrast with prior work on tree-structured models in which the trees are either provided as input or…

Computation and Language · Computer Science 2016-11-29 Dani Yogatama , Phil Blunsom , Chris Dyer , Edward Grefenstette , Wang Ling

We present an empirical study of scaling properties of encoder-decoder Transformer models used in neural machine translation (NMT). We show that cross-entropy loss as a function of model size follows a certain scaling law. Specifically (i)…

Machine Learning · Computer Science 2021-09-17 Behrooz Ghorbani , Orhan Firat , Markus Freitag , Ankur Bapna , Maxim Krikun , Xavier Garcia , Ciprian Chelba , Colin Cherry

Large Language Models (LLMs) are increasingly applied to complex tasks that require extended reasoning. In such settings, models often benefit from diverse chains-of-thought to arrive at multiple candidate solutions. This requires two…

Machine Learning · Computer Science 2025-10-08 Xueyan Li , Guinan Su , Mrinmaya Sachan , Jonas Geiping

Ensembles of decision trees perform well on many problems, but are not interpretable. In contrast to existing approaches in interpretability that focus on explaining relationships between features and predictions, we propose an alternative…

Machine Learning · Statistics 2020-08-26 Sarah Tan , Matvey Soloviev , Giles Hooker , Martin T. Wells

People learn whenever and wherever possible, and whatever they like or encounter--Mathematics, Drama, Art, Languages, Physics, Philosophy, and so on. With the bursting of knowledge, evaluation of one's possession of knowledge becomes…

Human-Computer Interaction · Computer Science 2016-12-23 Gangli Liu

Chain-of-Thought (CoT) reasoning has been demonstrated as an effective technique for improving the problem-solving capabilities of large language models (LLMs) in the context of code generation. However, existing CoT methods often exhibit a…

Software Engineering · Computer Science 2025-03-20 Yuqi Zhu , Ge Li , Xue Jiang , Jia Li , Hong Mei , Zhi Jin , Yihong Dong

Recent advances demonstrate that increasing inference-time computation can significantly boost the reasoning capabilities of large language models (LLMs). Although repeated sampling (i.e., generating multiple candidate outputs) is a highly…

Artificial Intelligence · Computer Science 2025-11-10 Yuichi Inoue , Kou Misaki , Yuki Imajuku , So Kuroki , Taishi Nakamura , Takuya Akiba

Tree ensemble models like random forests and gradient boosting machines are widely used in machine learning due to their excellent predictive performance. However, a high-performance ensemble consisting of a large number of decision trees…

Machine Learning · Statistics 2024-10-28 Zebin Yang , Agus Sudjianto , Xiaoming Li , Aijun Zhang

Different from other sequential data, sentences in natural language are structured by linguistic grammars. Previous generative conversational models with chain-structured decoder ignore this structure in human language and might generate…

Artificial Intelligence · Computer Science 2018-01-04 Ganbin Zhou , Ping Luo , Rongyu Cao , Yijun Xiao , Fen Lin , Bo Chen , Qing He

Real-world observational datasets and machine learning have revolutionized data-driven decision-making, yet many models rely on empirical associations that may be misleading due to confounding and subgroup heterogeneity. Simpson's paradox…

Machine Learning · Computer Science 2026-03-03 Xian Teng , Yu-Ru Lin

In a recent paper, the authors proposed a general methodology for probabilistic learning on manifolds. The method was used to generate numerical samples that are statistically consistent with an existing dataset construed as a realization…

Probability · Mathematics 2018-03-30 C. Soizea , R. Ghanem , C. Safta , X. Huan , Z. P. Vane , J. Oefelein , G. Lacaz , H. N. Najm , Q. Tang , X. Chen