Channel: Stanford Online

Category: Education

Tags: matlabcs547i❤️ lascipyc++phythonyotam gingoldnumpyeigenlatexhcihuman-computer interactioncomputer sciencestanfordmarkdownstanford seminarslinear algebra

Description: Yotam Gingold is an Associate Professor of Computer Science at George Mason University This talk was given on February 25, 2022. Linear algebra has become the lingua franca of many fields of scientific and high-performance computing. Matrices and vectors allow researchers to succinctly communicate mathematical expressions involving arbitrary amounts of data. Mathematical notation using these constructs evolved over time to be readable and precise. Yet writing linear algebra with a computer is challenging: mathematicians must choose between writing in languages that produce well-formatted but semantically-underdefined representations such as LaTeX; or languages with well-defined semantics but notation unlike conventional math, such as C++/Eigen. In both cases, the underlying linear algebra is obfuscated by the requirements of esoteric language syntax (as in LaTeX) or awkward APIs due to language semantics (as in C++). The gap between representations results in communication challenges, including underspecified and irreproducible research results, difficulty teaching math concepts underlying complex numerical code, as well as repeated, redundant, and error-prone translations from communicated linear algebra to executable computer programs. In this talk, Professor Gingold will describe I❤️ LA, a language with syntax designed to closely mimic conventionally-written linear algebra, while still ensuring an unambiguous, compilable interpretation. Inspired by Markdown, a language for writing naturally-structured plain text files that translate into valid HTML, I❤️ LA allows users to write linear algebra in text form and compile the same source into LaTeX for scientific communication, C++/Eigen, Python/NumPy/SciPy, and MATLAB, with easy extension to further math programming environments. He will outline the principles of I❤️ LA's design and highlight design decisions that balance between readability and precise semantics. He will demonstrate through case studies the ability for I❤️ LA to bridge the semantic gap between conventionally-written linear algebra and unambiguous interpretation in math programming environments. Try it: iheartla.github.io View more about Professor Gingold and this talk: hci.stanford.edu/courses/cs547/speaker.php?date=2022-02-25 View the full playlist of Stanford Seminars here: youtube.com/playlist?list=PLoROMvodv4rMWw6rRoeSpkiseTHzWj6vu Learn about our Human-Computer Interaction Graduate Program: online.stanford.edu/programs/human-computer-interaction-graduate-program