Mike Tamir, PhD’s Post

🆕 Slides on "Divergences and comparative convexity" with link to information geometry and exponential families: https://lnkd.in/e9CyFzhi

https://lnkd.in/d3_JkrEw Listen to: Chapter 4 of “Computational Intelligence: From Theory to Application” explores augmented optical flow methods for video stabilization, focusing on eliminating jitter and improving image clarity. The proposed method, Type 2 Fuzzy Gaussian Pyramid Optical Flow (T2FGPOF), uses fuzzy logic to optimize the Gaussian pyramid settings, which enhances optical flow calculations for video stabilization. Experimental results show that the method outperforms traditional techniques, reducing motion-related issues like blur and large motions, particularly on challenging datasets like the SINTEL benchmark. The chapter emphasizes the role of fuzzy logic and Gaussian pyramids in achieving smoother, stabilized video frames. https://lnkd.in/dZvXaHky

📢 Excited to share our latest blog post on the categorical theory of composition methods in finite model theory. This extended version presents a comprehensive account of the crucial results required by composition methods and their implications for modular reasoning about complex structures. Our parametric theorems naturally encompass various classes of models, logics, and operations, shedding light on surprising connections to the theory of monads. Check out the full article here: https://bit.ly/3WHY4QU #Logic #ModelTheory #CompositionMethods

More than half of the riddles I've encountered in life can be easily solved using: - Graph Theory: Concepts like connectivity, planarity, and colorability. - Number Theory: Especially modular arithmetic. - Logic: Classical First Order Logic

Graphing in polar coordinates is a lot of #fun. Very #pretty pictures! #polar #coordinates #math #maths #mathematics #mathematicseducation #precalculus #calculus #algebra #graphing #iteachmath #billkinney #billkinneymath #infinityisreallybig #wolfram #mathematica https://lnkd.in/giKvU9r3

Understanding the Taylor Series — Read Xichu Zhang's latest article explaining the Taylor Series, a fundamental concept in calculus used for approximating functions. #TaylorSeries #Mathematics #Calculus

Our paper titled "Residual-based a posteriori error estimation for mixed virtual element methods" has been published by Computers & Mathematics with Applications. This paper presents an a posteriori error analysis for the mixed virtual element method (mixed-VEM) applied to general second-order elliptic equations. https://lnkd.in/eJNksj7t

📢 Just published a new blog post on edge-averaged virtual element methods for convection-diffusion and convection-dominated problems. Learn how these methodologies effectively address convection-diffusion problems in the convection-dominated regime and ensure monotonicity on Voronoi polygonal meshes. The post also outlines a comprehensive framework for EAVE methodologies and presents numerical experiments confirming their theoretical advantages. Read the full post here: https://bit.ly/3OPix16 #VirtualElementMethods #ConvectionDiffusion #NumericalExperiments

https://lnkd.in/gKt7veQ5 multivariable, volume through double integration and approximation Part 4

"Claude 3.5 create an interactive simulation that explains the concepts behind Kuhn's theory of scientific revolutions in an engaging way" Claude: "Sure!" After a little back and forth: https://lnkd.in/e6pxTPf9