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Recently, topic modeling has been widely used to discover the abstract topics in text corpora. Most of the existing topic models are based on the assumption of three-layer hierarchical Bayesian structure, i.e. each document is modeled as a…

Computation and Language · Computer Science 2017-04-10 Yi-Kun Tang , Xian-Ling Mao , Heyan Huang , Guihua Wen

Category theory provides a means through which many far-ranging fields of mathematics can be related by their similar structure. In a paper by Robinson [2], this interconnectivity afforded by categorical perspectives allowed for the…

Algebraic Topology · Mathematics 2020-12-03 Karthik Boyareddygari

With growing concerns regarding bias and discrimination in predictive models, the AI community has increasingly focused on assessing AI system trustworthiness. Conventionally, trustworthy AI literature relies on the probabilistic framework…

Machine Learning · Statistics 2024-01-05 Ritwik Vashistha , Arya Farahi

Parametricity is a key metatheoretic property of type systems, which implies strong uniformity & modularity properties of the structure of types within systems possessing it. In recent years, various systems of dependent type theory have…

Logic in Computer Science · Computer Science 2024-12-18 C. B. Aberlé

While the capabilities and utility of AI systems have advanced, rigorous norms for evaluating these systems have lagged. Grand claims, such as models achieving general reasoning capabilities, are supported with model performance on narrow…

Many organizations seek to ensure that machine learning (ML) and artificial intelligence (AI) systems work as intended in production but currently do not have a cohesive methodology in place to do so. To fill this gap, we propose MLTE…

Software Engineering · Computer Science 2023-03-06 Katherine R. Maffey , Kyle Dotterrer , Jennifer Niemann , Iain Cruickshank , Grace A. Lewis , Christian Kästner

The increasing importance of such fields as embedded systems, pervasive computing, and hybrid systems control is increasing attention to the time-dependent aspects of system modeling. In this paper, we focus on modeling conceptual time.…

Software Engineering · Computer Science 2021-04-05 Sabah Al-Fedaghi

Model theoretic internality provides conditions under which the group of automorphisms of a model over a reduct is itself a definable group. In this paper we formulate a categorical analogue of the condition of internality, and prove an…

Logic · Mathematics 2010-12-16 Moshe Kamensky

While large language models (LLMs) have shown progress in mathematical reasoning, they still face challenges in formalizing theorems that arise from instantiating abstract structures in concrete settings. With the goal of auto-formalizing…

Artificial Intelligence · Computer Science 2025-11-14 Chenyi Li , Wanli Ma , Zichen Wang , Zaiwen Wen

Computational modeling of a complex system is limited by the parts of the system with the least information. While detailed models and high-resolution data may be available for parts of a system, abstract relationships are often necessary…

Methodology · Statistics 2024-06-19 Kara Bocan , Natasa Miskov-Zivanov

Artificial Intelligence (AI) and Machine Learning (ML) providers have a responsibility to develop valid and reliable systems. Much has been discussed about trusting AI and ML inferences (the process of running live data through a trained AI…

Machine Learning · Computer Science 2024-07-09 Dalmo Cirne , Veena Calambur

This paper explores the application of automated planning to automated theorem proving, which is a branch of automated reasoning concerned with the development of algorithms and computer programs to construct mathematical proofs. In…

Artificial Intelligence · Computer Science 2023-12-12 Alice Petrov , Christian Muise

Representation learning is a fundamental building block for analyzing entities in a database. While the existing embedding learning methods are effective in various data mining problems, their applicability is often limited because these…

Machine Learning · Computer Science 2020-09-24 Chin-Chia Michael Yeh , Dhruv Gelda , Zhongfang Zhuang , Yan Zheng , Liang Gou , Wei Zhang

We propose a maturity-based framework for certifying embodied AI systems through explicit measurement mechanisms. We argue that certifiable embodied AI requires structured assessment frameworks, quantitative scoring mechanisms, and methods…

Artificial Intelligence · Computer Science 2026-01-09 Michael C. Darling , Alan H. Hesu , Michael A. Mardikes , Brian C. McGuigan , Reed M. Milewicz

We consider a calculus of resources and processes as a basis for modelling decision-making in multi-agent systems. The calculus represents the regulation of agents' choices using utility functions that take account of context. Associated…

Logic in Computer Science · Computer Science 2013-10-29 Gabrielle Anderson , Matthew Collinson , David Pym

Different research communities have developed various approaches to assess the credibility of predictive models. Each approach usually works well for a specific type of model, and under some epistemic conditions that are normally satisfied…

Quantitative Methods · Quantitative Biology 2019-10-25 Marco Viceconti , Miguel A. Juárez , Cristina Curreli , Marzio Pennisi , Giulia Russo , Francesco Pappalardo

Trust in clinical artificial intelligence (AI) cannot be reduced to model accuracy, fluency of generation, or overall positive user impression. In medicine, trust must be engineered as a measurable system property grounded in evidence,…

Computation and Language · Computer Science 2026-04-30 Serhii Zabolotnii , Viktoriia Holinko , Olha Antonenko

Based upon trusted and confidential computing platforms, telecommunications systems must provide guaranteed security for the processes and data running atop them. This in turn requires us to provide trustworthy systems. The term trustworthy…

Cryptography and Security · Computer Science 2023-11-28 Ian Oliver , Pekka Kuure , Wiktor Sedkowski , Thore Sommer

We introduce a framework for calibrating machine learning models so that their predictions satisfy explicit, finite-sample statistical guarantees. Our calibration algorithms work with any underlying model and (unknown) data-generating…

Machine Learning · Computer Science 2022-10-03 Anastasios N. Angelopoulos , Stephen Bates , Emmanuel J. Candès , Michael I. Jordan , Lihua Lei

We propose a new inferential framework for constructing confidence regions and testing hypotheses in statistical models specified by a system of high dimensional estimating equations. We construct an influence function by projecting the…

Statistics Theory · Mathematics 2016-06-24 Matey Neykov , Yang Ning , Jun S. Liu , Han Liu
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