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Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning in natural language to rigorous derivations in formal systems. In recent years, the advancement of deep learning, especially the emergence of large…

Artificial Intelligence · Computer Science 2024-08-23 Zhaoyu Li , Jialiang Sun , Logan Murphy , Qidong Su , Zenan Li , Xian Zhang , Kaiyu Yang , Xujie Si

We introduce computational causal inference as an interdisciplinary field across causal inference, algorithms design and numerical computing. The field aims to develop software specializing in causal inference that can analyze massive…

Computation · Statistics 2020-07-22 Jeffrey C. Wong

The techniques of deep learning have become the state of the art methodology for executing complicated tasks from various domains of computer vision, natural language processing, and several other areas. Due to its rapid development and…

Machine Learning · Computer Science 2019-04-09 Rahul-Vigneswaran K , Prabaharan Poornachandran , Soman KP

We outline a program in the area of formalization of mathematics to automate theorem proving in algebra and algebraic geometry. We propose a construction of a dictionary between automated theorem provers and (La)TeX exploiting syntactic…

Artificial Intelligence · Computer Science 2016-10-05 Przemyslaw Chojecki

This thesis embarks on a comprehensive exploration of formal computational models that underlie typed programming languages. We focus on programming calculi, both functional (sequential) and concurrent, as they provide a compelling rigorous…

Logic in Computer Science · Computer Science 2024-08-16 Joseph William Neal Paulus

Recent years have seen the successful application of deep learning to software engineering (SE). In particular, the development and use of pre-trained models of source code has enabled state-of-the-art results to be achieved on a wide…

Software Engineering · Computer Science 2022-05-25 Changan Niu , Chuanyi Li , Bin Luo , Vincent Ng

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

The following three sections and appendices are taken from my thesis "The Foundations of Inference and its Application to Fundamental Physics" from 2021, in which I construct a theory of entropic inference from first principles. The…

Other Statistics · Statistics 2022-07-19 Nicholas Carrara

This is a lecture note produced for DS-GA 3001.003 "Special Topics in DS - Causal Inference in Machine Learning" at the Center for Data Science, New York University in Spring, 2024. This course was created to target master's and PhD level…

Machine Learning · Computer Science 2024-05-15 Kyunghyun Cho

Recent advances in computing have changed not only the nature of mathematical computation, but mathematical proof and inquiry itself. While artificial intelligence and formalized mathematics have been the major topics of this conversation,…

Databases · Computer Science 2024-04-12 Steven Clontz

This paper presents a brief account of some of the my early research interests. This historical account starts from my laurea thesis on Signal Theory and my master thesis on Computation Theory. It recalls some results in Combinatory Logic…

Logic in Computer Science · Computer Science 2020-08-10 Alberto Pettorossi

This master thesis describes an algorithm for automated categorization of scientific documents using deep learning techniques and compares the results to the results of existing classification algorithms. As an additional goal a reusable…

Information Retrieval · Computer Science 2017-06-20 Thomas Krause

Proof Theory and Type Theory are two branches of mathematical logic and theoretical computer science that explore the structure of mathematical proofs and the foundations of computation. Both are crucial for understanding formal systems,…

Logic in Computer Science · Computer Science 2026-03-04 Thorsten Altenkirch , Franco Barbanera , Ferruccio Damiani , Ugo de'Liguoro

Embedded distributed inference of Neural Networks has emerged as a promising approach for deploying machine-learning models on resource-constrained devices in an efficient and scalable manner. The inference task is distributed across a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-07 Federico Nicolás Peccia , Oliver Bringmann

Statistical inference is the science of drawing conclusions about some system from data. In modern signal processing and machine learning, inference is done in very high dimension: very many unknown characteristics about the system have to…

Disordered Systems and Neural Networks · Physics 2020-10-29 Jean Barbier

This doctoral thesis describes computational research into intein reaction mechanisms.

Biological Physics · Physics 2011-09-02 Philip Shemella

Lectures notes (in italian) of some arguments of classical analysis, with exercises. A particular emphasis to functional analysis and elementary operator algebra theory is given, by means of exercises and examples.

Classical Analysis and ODEs · Mathematics 2015-09-17 Ezio Vasselli

In recent years, there have been significant advances in the use of deep learning methods in inverse problems such as denoising, compressive sensing, inpainting, and super-resolution. While this line of works has predominantly been driven…

Machine Learning · Statistics 2023-01-31 Jonathan Scarlett , Reinhard Heckel , Miguel R. D. Rodrigues , Paul Hand , Yonina C. Eldar

This review systematizes the emerging literature for causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction on how deep learning can be used to estimate/predict…

Machine Learning · Computer Science 2023-11-30 Bernard Koch , Tim Sainburg , Pablo Geraldo , Song Jiang , Yizhou Sun , Jacob Gates Foster

Over the last several years, the field of natural language processing has been propelled forward by an explosion in the use of deep learning models. This survey provides a brief introduction to the field and a quick overview of deep…

Computation and Language · Computer Science 2019-12-24 Daniel W. Otter , Julian R. Medina , Jugal K. Kalita
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