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In this work we introduce the concepts of linguistic transformation, linguistic loop and semantic deficit. By exploiting Lie group theoretical and geometric techniques, we define invariants that capture the structural properties of a whole…

Computation and Language · Computer Science 2025-04-01 Daniele Corradetti , Alessio Marrani

The author describes a conceptual study towards mapping grounded natural language discourse representation structures to instances of controlled language statements. This can be achieved via a pipeline of preexisting state of the art…

Computation and Language · Computer Science 2013-12-10 Nicholas H. Kirk

This paper considers the possibility that abstract thinking and advanced synthesis skills might encourage extraterrestrial civilizations to accept communication with mankind on Earth. For this purpose, a notation not relying upon the use of…

Information Theory · Computer Science 2024-05-07 Giampiero Esposito , Valeria Fionda

This report summarizes some of the material that was presented by the author during the 2015 Les Houches Summerschool on "Random Matrices and Stochastic Processes". In these Lectures, various applications of Random Matrix Theory in modern…

Statistical Mechanics · Physics 2016-05-05 Aris L. Moustakas

This paper summarizes our rather lengthy paper, "Algebra of the Infrared: String Field Theoretic Structures in Massive ${\cal N}=(2,2)$ Field Theory In Two Dimensions," and is meant to be an informal, yet detailed, introduction and summary…

High Energy Physics - Theory · Physics 2016-06-24 Davide Gaiotto , Gregory W. Moore , Edward Witten

Human language is firstly spoken and only secondarily written. Text, however, is a very convenient and efficient representation of language, and modern civilization has made it ubiquitous. Thus the field of NLP has overwhelmingly focused on…

Computation and Language · Computer Science 2023-05-24 Grzegorz Chrupała

The present volume is the written version of the series of lectures the author delivered at the Catholic University of Leuven, Belgium during the period of June-July, 1990. The main purpose of these talks is to present some of author's work…

Differential Geometry · Mathematics 2013-07-17 Bang-Yen Chen

This is a short analysis of the changes in the concept of entropy as applied to physics of the present-day and Early Universe. Of special interest is a leading role of such a notion as deformation of a physical theory. The relation to a…

High Energy Physics - Theory · Physics 2009-02-05 Alexander E. Shalyt-Margolin

These are expended notes of my talk at the summer institute in algebraic geometry (Seattle, July-August 2005), whose main purpose is to present a global overview on the theory of higher and derived stacks. This text is far from being…

Algebraic Geometry · Mathematics 2007-05-23 B. Toen

Language provides simple ways of communicating generalizable knowledge to each other (e.g., "Birds fly", "John hikes", "Fire makes smoke"). Though found in every language and emerging early in development, the language of generalization is…

Computation and Language · Computer Science 2018-12-17 Michael Henry Tessler , Noah D. Goodman

This presentation is intended to give a flavour of the physics to be studied and discovered by exploiting the interface between string theory, M-theory and field theory provided by the dynamics of extended objects called `branes', and their…

High Energy Physics - Theory · Physics 2007-05-23 Clifford V. Johnson

Summary talk at ICHEP 2002, Amsterdam, July 2002. I have kept very close to the content and style of the talk as it was delivered. You may access the associated PowerPoint presentation through a link at…

High Energy Physics - Phenomenology · Physics 2010-11-23 Frank Wilczek

The aim of this short lecture series is to expose the students to the beautiful theory of lattices by, on one hand, demonstrating various basic ideas that appear in this theory and, on the other hand, formulating some of the celebrated…

Group Theory · Mathematics 2014-02-06 Tsachik Gelander

Throughout human history, people have used sight to learn about the world, but only in relatively recent times the science of light has been developed. Egyptians and Mesopotamians made the first known lenses out of quartz, giving birth to…

Optics · Physics 2017-01-23 David Bermudez , Jonathan Drori , Ulf Leonhardt

These notes contain everything necessary to run a flipped course on "The Atmosphere" at an introductory undergraduate level. There are notes for the students to read before each course meeting and problems for them to work on in small…

Earth and Planetary Astrophysics · Physics 2019-06-27 Dorian S. Abbot

This groundbreaking study explores the expanse of Large Language Models (LLMs), such as Generative Pre-Trained Transformer (GPT) and Bidirectional Encoder Representations from Transformers (BERT) across varied domains ranging from…

Computation and Language · Computer Science 2024-02-27 Pravneet Kaur , Gautam Siddharth Kashyap , Ankit Kumar , Md Tabrez Nafis , Sandeep Kumar , Vikrant Shokeen

We present an elementary introduction to a new logic for reasoning about behaviors that occur over time. This logic is based on temporal type theory. The syntax of the logic is similar to the usual first-order logic; what differs is the…

Logic · Mathematics 2022-11-04 Brendan Fong , Alberto Speranzon , David I. Spivak

This note was originated many years ago as my reaction to questions of several people how free strongly homotopy algebras can be described and what can be said about the structure of the universal enveloping A(m)-algebra of an L(m)-algebra,…

Algebraic Topology · Mathematics 2007-05-23 Martin Markl

NLP is deeply intertwined with the formal study of language, both conceptually and historically. Arguably, this connection goes all the way back to Chomsky's Syntactic Structures in 1957. It also still holds true today, with a strand of…

Computation and Language · Computer Science 2021-07-28 William Merrill

I present a formal ontological theory where the basic building blocks of the world can be either things or events. In any case, the result is a Parmenidean worldview where change is not a global property. What we understand by change…

History and Philosophy of Physics · Physics 2012-05-07 Gustavo E. Romero
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