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We study whether Large Language Models (LLMs) inherently capture domain-specific nuances in natural language. Our experiments probe the domain sensitivity of LLMs by examining their ability to distinguish queries from different domains…

In this paper, we address Linear Quadratic Regulator (LQR) problems through a novel iterative algorithm named EXtremum-seeking Policy iteration LQR (EXP-LQR). The peculiarity of EXP-LQR is that it only needs access to a truncated…

Optimization and Control · Mathematics 2025-06-13 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

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

We introduce the class of P-finite automata. These are a generalisation of weighted automata, in which the weights of transitions can depend polynomially on the length of the input word. P-finite automata can also be viewed as simple…

Logic in Computer Science · Computer Science 2023-10-24 Alex Buna-Marginean , Vincent Cheval , Mahsa Shirmohammadi , James Worrell

Spoken Language Understanding (SLU) aims to extract the semantics frame of user queries, which is a core component in a task-oriented dialog system. With the burst of deep neural networks and the evolution of pre-trained language models,…

Computation and Language · Computer Science 2021-05-11 Libo Qin , Tianbao Xie , Wanxiang Che , Ting Liu

The current paper studies sample-efficient Reinforcement Learning (RL) in settings where only the optimal value function is assumed to be linearly-realizable. It has recently been understood that, even under this seemingly strong assumption…

Machine Learning · Computer Science 2022-07-19 Philip Amortila , Nan Jiang , Dhruv Madeka , Dean P. Foster

We show that the techniques for resource control that have been developed in the so-called "light logics" can be fruitfully applied also to process algebras. In particular, we present a restriction of Higher-Order pi-calculus inspired by…

Logic in Computer Science · Computer Science 2019-02-20 Ugo Dal Lago , Simone Martini , Davide Sangiorgi

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

This paper initiates the study of active learning for exact recovery of partitions exclusively through access to a same-cluster oracle in the presence of bounded adversarial error. We first highlight a novel connection between learning…

Data Structures and Algorithms · Computer Science 2023-06-21 Adela Frances DePavia , Olga Medrano Martín del Campo , Erasmo Tani

We study the problem of agnostically learning halfspaces which is defined by a fixed but unknown distribution $\mathcal{D}$ on $\mathbb{Q}^n\times \{\pm 1\}$. We define $\mathrm{Err}_{\mathrm{HALF}}(\mathcal{D})$ as the least error of a…

Computational Complexity · Computer Science 2016-03-15 Amit Daniely

Buraczewski et al (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series $\sum_{k\geq 2}(\log k)^\alpha k^{-1/2-s}\eta_k$ as $s\to 0+$, where $\alpha>-1/2$ and $\eta_1$,…

Probability · Mathematics 2024-11-05 Alexander Iksanov , Ruslan Kostohryz

Detecting Alzheimer's Disease (AD) from narrative transcripts remains a challenging task for large language models (LLMs), particularly under out-of-distribution (OOD) and data-scarce conditions. While in-context learning (ICL) provides a…

Computation and Language · Computer Science 2025-11-11 Puzhen Su , Yongzhu Miao , Chunxi Guo , Jintao Tang , Shasha Li , Ting Wang

We introduce a variant of modal logic, dubbed EXISTENTIAL COUNTING MODAL LOGIC (ECML), which captures a vast majority of problems known to be tractable in single exponential time when parameterized by treewidth. It appears that all these…

Data Structures and Algorithms · Computer Science 2011-04-18 Michał Pilipczuk

The use of model such as LEL (Lexicon Extended Language) in natural language is very interesting in Requirements Engineering. But LEL, even if it is derived from the Universe of Discourse (UofD) does not provide further details on the…

Software Engineering · Computer Science 2016-01-08 Jean Luc Razafindramintsa , Thomas Mahatody , Josvah Paul Razafimandimby

In this paper, we investigate the use of single hidden-layer neural networks as a family of ansatz functions for the resolution of partial differential equations (PDEs). In particular, we train the network via Extreme Learning Machines…

Numerical Analysis · Mathematics 2025-06-30 Davide Elia De Falco , Enrico Schiassi , Francesco Calabrò

We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational cost as compared with Deep Learning Neural Networks. Our…

Numerical Analysis · Mathematics 2022-06-02 Francesco Calabrò , Salvatore Cuomo , Daniela di Serafino , Giuseppe Izzo , Eleonora Messina

Large language models (LLMs) face significant challenges in ex-ante reasoning, where analysis, inference, or predictions must be made without access to information from future events. Even with explicit prompts enforcing temporal cutoffs,…

Machine Learning · Computer Science 2025-05-27 Yachuan Liu , Xiaochun Wei , Lin Shi , Xinnuo Li , Bohan Zhang , Paramveer Dhillon , Qiaozhu Mei

The LL(finite) parsing strategy for parsing of LL(k) grammars where k needs not to be known is presented. The strategy parses input in linear time, uses arbitrary but always minimal lookahead necessary to disambiguate between alternatives…

Programming Languages · Computer Science 2021-01-21 Peter Belcak

Large Language Models (LLMs) excel at general code generation, yet translating natural-language trading intents into correct option strategies remains challenging. Real-world option design requires reasoning over massive, multi-dimensional…

Artificial Intelligence · Computer Science 2026-03-18 Haochen Luo , Zhengzhao Lai , Junjie Xu , Yifan Li , Tang Pok Hin , Yuan Zhang , Chen Liu

We estimate the error of the Deep Ritz Method for linear elliptic equations. For Dirichlet boundary conditions, we estimate the error when the boundary values are imposed through the boundary penalty method. Our results apply to arbitrary…

Numerical Analysis · Mathematics 2022-09-07 Johannes Müller , Marius Zeinhofer
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