Temporal logic | Model checking
Metric temporal logic (MTL) is a special case of temporal logic. It is an extension of temporal logic in which temporal operators are replaced by time-constrained versions like until, next, since and previous operators. It is a linear-time logic that assumes both the interleaving and fictitious-clock abstractions. It is defined over a point-based weakly-monotonic integer-time semantics. MTL has been described as a prominent specification formalism for real-time systems. Full MTL over infinite timed words is undecidable. (Wikipedia).
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Using Dimensional Analysis to Find the Units of a Constant
This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t
From playlist Metric Units
What is a metric space? An example
This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.
From playlist Mathematical analysis and applications
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
Weird notions of "distance" || Intro to Metric Spaces
Visit https://brilliant.org/TreforBazett/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations โบhttps://www.beautifulequation.com/pages/trefor Weird, fun
From playlist Cool Math Series
Advanced 6. Planning with Temporal Logic
MIT 16.412J Cognitive Robotics, Spring 2016 View the complete course: https://ocw.mit.edu/16-412JS16 Instructor: MIT students This is the seventh advanced lecture in the MIT 16.412 Cognitive Robotics of Spring 2016, led by MIT students. Students presented the research in linear temporal l
From playlist MIT 16.412J Cognitive Robotics, Spring 2016
Complete metric space: example & proof
This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.
From playlist Mathematical analysis and applications
Post-analysis temporal downsampling
Are your time-frequency results matrices too big? Watch this video to learn how to reduce the temporal resolution of your results to match their temporal precision, which can save lots of time and space. The video uses files you can download from https://github.com/mikexcohen/ANTS_youtube
From playlist OLD ANTS #5) Normalization and time-frequency post-processing
Nina Otter (4/23/19): The magnitude of a metric space
Title: The magnitude of a metric space Abstract: The magnitude is an isometric invariant of metric spaces that was introduced by Tom Leinster in 2010, and is currently the object of intense research. Magnitude encodes many invariants of a metric space such as volume, dimension, capacity,
From playlist AATRN 2019
Pratik Chaudhari: "Learning with Few Labeled Data"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop I: Individual Vehicle Autonomy: Perception and Control "Learning with Few Labeled Data" Pratik Chaudhari - University of Pennsylvania Abstract: The relevant limit for machine learning is not N ? infinity but
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Stanford Seminar - Safety (and Liveness!) of Robot Behaviors
Hadas Kress- Gazit, Professor Sibley School of Mechanical and Aerospace Engineering, College of Engineering - Princeton April 27, 2022 In this talk I will describe how formal methods such as synthesis โ automatically creating a system from a formal specification โ can be leveraged to desi
From playlist Stanford CS521 - AI Safety Seminar
Rasa Reading Group: Commonsense Reasoning for Natural Language Processing
Join Rachael as starts reading the blog "Commonsense Reasoning for Natural Language Processing" by Vered Shwartz. The blog is based on the based on the Commonsense Tutorial taught by Maarten Sap, Antoine Bosselut, Yejin Choi, Dan Roth, and Vared Schwartz at ACL 2020. Link to paper: https:
From playlist Rasa Reading Group
Make-A-Video: Text-To-Video Generation Without Text-Video Data | Paper Explained
๐ Find out how to get started using Weights & Biases ๐ http://wandb.me/ai-epiphany ๐จโ๐ฉโ๐งโ๐ฆ Join our Discord community ๐จโ๐ฉโ๐งโ๐ฆ https://discord.gg/peBrCpheKE In this video I cover the latest text-to-video paper from Meta: "Make-A-Video: Text-To-Video Generation Without Text-Video Data". I
From playlist Video
Nature of Genius 212 IQ Testing
From playlist The Nature of Genius
Radiation Field for Einstein Vacuum Equations - Fang Wang
Fang Wang Princeton University; Institute for Advanced Study October 7, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Sam Coogan, Georgia Tech Probabilistic guarantees for autonomous systems For complex autonomous systems subject to stochastic dynamics, providing absolute assurances of performance may not be possible. Instead, probabilistic guarantees that assure, for example, desirable performance with
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Is space-time fragmented, segmented into quantized bits of information, or causal sets? Or is space-time smooth and continuous, with curves, bends, and warps; just as Einstein had predicted? Is what we call space-time even part of objective reality or is it just a mathematical construct
From playlist Science
Diffusion Models Beat GANs on Image Synthesis | ML Coding Series | Part 2
โค๏ธ Become The AI Epiphany Patreon โค๏ธ https://www.patreon.com/theaiepiphany ๐จโ๐ฉโ๐งโ๐ฆ Join our Discord community ๐จโ๐ฉโ๐งโ๐ฆ https://discord.gg/peBrCpheKE 4th video in the ML coding series! In this one I continue explaining diffusion models! I cover the "Diffusion Models Beat GANs on Image Synt
From playlist Diffusion models
MAST30026 Lecture 2: Examples of spaces (Part 1)
I started with the definition of a metric space, we briefly discussed the example of Euclidean space (proofs next time) and then I started to explain a few natural metrics on the circle. Lecture notes: http://therisingsea.org/notes/mast30026/lecture2.pdf The class webpage: http://therisin
From playlist MAST30026 Metric and Hilbert spaces