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We introduce Natural Learning (NL), a novel algorithm that elevates the explainability and interpretability of machine learning to an extreme level. NL simplifies decisions into intuitive rules, like "We rejected your loan because your…

Machine Learning · Computer Science 2024-04-10 Hadi Fanaee-T

Federated Learning (FL) enables distributed learning across multiple clients without sharing raw data. When statistical heterogeneity across clients is severe, Clustered Federated Learning (CFL) can improve performance by grouping similar…

Machine Learning · Computer Science 2026-01-15 Sota Sugawara , Yuji Kawamata , Akihiro Toyoda , Tomoru Nakayama , Yukihiko Okada

What can large language models learn? By definition, language models (LM) are distributions over strings. Therefore, an intuitive way of addressing the above question is to formalize it as a matter of learnability of classes of…

Computation and Language · Computer Science 2025-01-14 Nadav Borenstein , Anej Svete , Robin Chan , Josef Valvoda , Franz Nowak , Isabelle Augenstein , Eleanor Chodroff , Ryan Cotterell

Large language models excel at many tasks but still struggle with consistent, robust reasoning. We introduce Cohort-based Consistency Learning (CC-Learn), a reinforcement learning framework that improves the reliability of LLM reasoning by…

Computation and Language · Computer Science 2025-06-19 Xiao Ye , Shaswat Shrivastava , Zhaonan Li , Jacob Dineen , Shijie Lu , Avneet Ahuja , Ming Shen , Zhikun Xu , Ben Zhou

We study distributional learning of context-free languages under a fixed recognizable congruence $\sim_h$ given as the kernel of an explicit finite monoid homomorphism $h:\Sigma^*\to M$. For this fixed-$h$ setting, we develop a finite typed…

Formal Languages and Automata Theory · Computer Science 2026-05-11 Takayuki Kuriyama

Sentence Simplification aims to rephrase complex sentences into simpler sentences while retaining original meaning. Large Language models (LLMs) have demonstrated the ability to perform a variety of natural language processing tasks.…

Computation and Language · Computer Science 2023-02-24 Yutao Feng , Jipeng Qiang , Yun Li , Yunhao Yuan , Yi Zhu

A decision list is an ordered list of rules. Each rule is specified by a term, which is a conjunction of literals, and a value. Given an input, the output of a decision list is the value corresponding to the first rule whose term is…

Computational Complexity · Computer Science 2020-02-19 Shachar Lovett , Kewen Wu , Jiapeng Zhang

While large models achieve impressive results, their learning dynamics are far from understood. Many domains of interest, such as natural language syntax, coding languages, arithmetic problems, are captured by context-free grammars (CFGs).…

Computation and Language · Computer Science 2026-03-02 Laura Ying Schulz , Daniel Mitropolsky , Tomaso Poggio

With the increasing ability of large language models (LLMs), in-context learning (ICL) has evolved as a new paradigm for natural language processing (NLP), where instead of fine-tuning the parameters of an LLM specific to a downstream task…

Information Retrieval · Computer Science 2024-05-03 Andrew Parry , Debasis Ganguly , Manish Chandra

Curriculum learning (CL), motivated by the intuition that learning in increasing order of difficulty should ease generalization, is commonly adopted both in pre-training and post-training of large language models (LLMs). The intuition of CL…

Computation and Language · Computer Science 2026-03-31 Maximilian Mordig , Andreas Opedal , Weiyang Liu , Bernhard Schölkopf

Constraint satisfaction problems (CSPs) are a natural class of decision problems where one must decide whether there is an assignment to variables that satisfies a given formula. Schaefer's dichotomy theorem, and its extension to all…

Quantum Physics · Physics 2025-02-27 Eric Culf , Kieran Mastel

The large and still increasing popularity of deep learning clashes with a major limit of neural network architectures, that consists in their lack of capability in providing human-understandable motivations of their decisions. In situations…

Machine Learning · Computer Science 2023-05-22 Gabriele Ciravegna , Pietro Barbiero , Francesco Giannini , Marco Gori , Pietro Lió , Marco Maggini , Stefano Melacci

Translating natural language into formal language such as First-Order Logic (FOL) is a foundational challenge in NLP with wide-ranging applications in automated reasoning, misinformation tracking, and knowledge validation. In this paper, we…

Computation and Language · Computer Science 2025-03-07 Abhinav Lalwani , Tasha Kim , Lovish Chopra , Christopher Hahn , Zhijing Jin , Mrinmaya Sachan

The rational index of a context-free language $L$ is a function $f(n)$, such that for each regular language $R$ recognized by an automaton with $n$ states, the intersection of $L$ and $R$ is either empty or contains a word shorter than…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Ekaterina Shemetova , Alexander Okhotin , Semyon Grigorev

Reinforcement Learning (RL) has shown remarkable abilities in learning policies for decision-making tasks. However, RL is often hindered by issues such as low sample efficiency, lack of interpretability, and sparse supervision signals. To…

Computation and Language · Computer Science 2024-02-16 Xidong Feng , Ziyu Wan , Mengyue Yang , Ziyan Wang , Girish A. Koushik , Yali Du , Ying Wen , Jun Wang

Following some previous studies on restarting automata, we introduce a refined model - the h-lexicalized restarting automaton (h-RLWW). We argue that this model is useful for expressing lexicalized syntax in computational linguistics. We…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Martin Plátek , Friedrich Otto

A filtration of a formal language L by a sequence s maps L to the set of words formed by taking the letters of words of L indexed only by s. We consider the languages resulting from filtering by all arithmetic progressions. If L is regular,…

Formal Languages and Automata Theory · Computer Science 2012-04-02 Hamoon Mousavi , Jeffrey Shallit

Characterizing the computational power of neural network architectures in terms of formal language theory remains a crucial line of research, as it describes lower and upper bounds on the reasoning capabilities of modern AI. However, when…

Computation and Language · Computer Science 2025-04-15 Alexandra Butoi , Ghazal Khalighinejad , Anej Svete , Josef Valvoda , Ryan Cotterell , Brian DuSell

The goal of sentence and document modeling is to accurately represent the meaning of sentences and documents for various Natural Language Processing tasks. In this work, we present Dependency Sensitive Convolutional Neural Networks (DSCNN)…

Computation and Language · Computer Science 2016-11-09 Rui Zhang , Honglak Lee , Dragomir Radev

Exactly solving first-order constraints (i.e., first-order formulas over a certain predefined structure) can be a very hard, or even undecidable problem. In continuous structures like the real numbers it is promising to compute approximate…

Logic in Computer Science · Computer Science 2007-05-23 Stefan Ratschan
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