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This thesis focuses on the discovery of stochastic differential equations (SDEs) and stochastic partial differential equations (SPDEs) from noisy and discrete time series. A major challenge is selecting the simplest possible correct model…

机器学习 · 统计学 2025-07-08 Andonis Gerardos

Stochastic And-Or grammars (AOG) extend traditional stochastic grammars of language to model other types of data such as images and events. In this paper we propose a representation framework of stochastic AOGs that is agnostic to the type…

人工智能 · 计算机科学 2016-04-13 Kewei Tu

We propose a stochastic answer network (SAN) to explore multi-step inference strategies in Natural Language Inference. Rather than directly predicting the results given the inputs, the model maintains a state and iteratively refines its…

计算与语言 · 计算机科学 2019-04-02 Xiaodong Liu , Kevin Duh , Jianfeng Gao

Sparse autoencoders (SAEs) are a mechanistic interpretability technique that have been used to provide insight into learned concepts within large protein language models. Here, we employ TopK and Ordered SAEs to investigate autoregressive…

Automatic essay scoring (AES) refers to the process of scoring free text responses to given prompts, considering human grader scores as the gold standard. Writing such essays is an essential component of many language and aptitude exams.…

计算与语言 · 计算机科学 2017-02-09 Sowmya Vajjala

Probabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many of the associated algorithmic questions are…

形式语言与自动机理论 · 计算机科学 2022-05-20 Nathanaël Fijalkow , Cristian Riveros , James Worrell

This paper investigates the possibility of performing automated reasoning in probabilistic logic when probabilities are expressed by means of linguistic quantifiers. Each linguistic term is expressed as a prescribed interval of proportions.…

人工智能 · 计算机科学 2013-03-25 Didier Dubois , Henri Prade , Lluis Godo , Ramon Lopez de Mantaras

A fundamental characteristic of natural language is the high rate at which speakers produce novel expressions. Because of this novelty, a heavy-tail of rare events accounts for a significant amount of the total probability mass of…

计算与语言 · 计算机科学 2022-03-25 Benjamin LeBrun , Alessandro Sordoni , Timothy J. O'Donnell

Prompted models have demonstrated impressive few-shot learning abilities. Repeated interactions at test-time with a single model, or the composition of multiple models together, further expands capabilities. These compositions are…

We study how reliably sparse autoencoders (SAEs) support claims about reasoning-related internal features in large language models. We first give a stylized analysis showing that sparsity-regularized decoding can preferentially retain…

机器学习 · 计算机科学 2026-05-19 George Ma , Zhongyuan Liang , Irene Y. Chen , Somayeh Sojoudi

Probabilistic programming languages, which exist in abundance, are languages that allow users to calculate probability distributions defined by probabilistic programs, by using inference algorithms. However, the underlying inference…

编程语言 · 计算机科学 2026-01-15 Oliver Goldstein , Ohad Kammar

Probabilistic programming has become a standard practice to model stochastic events and learn about the behavior of nature in different scientific contexts, ranging from Genetics and Ecology to Linguistics and Psychology. However, domain…

编程语言 · 计算机科学 2025-07-10 Guilherme Espada , Alcides Fonseca

Recent advances in neural symbolic learning, such as DeepProbLog, extend probabilistic logic programs with neural predicates. Like graphical models, these probabilistic logic programs define a probability distribution over possible worlds,…

人工智能 · 计算机科学 2021-06-24 Thomas Winters , Giuseppe Marra , Robin Manhaeve , Luc De Raedt

We look into the task of \emph{generalizing} word embeddings: given a set of pre-trained word vectors over a finite vocabulary, the goal is to predict embedding vectors for out-of-vocabulary words, \emph{without} extra contextual…

计算与语言 · 计算机科学 2020-10-22 Zhao Jinman , Shawn Zhong , Xiaomin Zhang , Yingyu Liang

Let $\mathcal{P}(\Sigma^*)$ be the semiring of languages, and consider its subset $\mathcal{P}(\Sigma)$. In this paper we define the language recognized by a weighted automaton over $\mathcal{P}(\Sigma)$ and a one-letter alphabet.…

形式语言与自动机理论 · 计算机科学 2010-07-27 Edoardo Carta-Gerardino , Parisa Babaali

Statistical model discovery is a challenging search over a vast space of models subject to domain-specific constraints. Efficiently searching over this space requires expertise in modeling and the problem domain. Motivated by the domain…

机器学习 · 计算机科学 2024-06-25 Michael Y. Li , Emily B. Fox , Noah D. Goodman

Languages are not created randomly but rather to communicate information. There is a strong association between languages and their underlying meanings, resulting in a sparse joint distribution that is heavily peaked according to their…

计算与语言 · 计算机科学 2023-09-15 Hui Jiang

We present probabilistic arithmetic automata (PAAs), a general model to describe chains of operations whose operands depend on chance, along with two different algorithms to exactly calculate the distribution of the results obtained by such…

形式语言与自动机理论 · 计算机科学 2010-11-29 Tobias Marschall , Inke Herms , Hans-Michael Kaltenbach , Sven Rahmann

Functional Distributional Semantics provides a computationally tractable framework for learning truth-conditional semantics from a corpus. Previous work in this framework has provided a probabilistic version of first-order logic, recasting…

计算与语言 · 计算机科学 2020-06-05 Guy Emerson

The generative nature of Large Language Models (LLMs) is reflected in the conditional probabilities they compute to sample each response token given the previous tokens. These probabilities encode the distributional structure that the model…

计算与语言 · 计算机科学 2026-05-22 Shilpika Shilpika , Carlo Graziani , Bethany Lusch , Venkatram Vishwanath , Michael E. Papka