Rupei Xu
@RupeiXuFan of Ron Graham🤹🏻who juggles Math, TCS, OR, Telecom…Kindness and Fun! Third time's a charm! PhD in TE and Master in CS @UTD_ECE, Master in IE @UMNISyE
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It really is magical that orthogonality is preserved under sampling for the Fourier basis. This is why the Discrete Cosine Transform (DCT) is widely used in image and video compression. * Certain wavelet families, like the Haar and Daubechies also exhibit orthogonality…
The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! en.wikipedia.org/wiki/Discrete_…
The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! en.wikipedia.org/wiki/Discrete_…
Amazing breakthrough result by @TomGur @_nickspoon and jack o’connor that settles a 27-year old question! arxiv.org/abs/2411.07972
The origins of linear algebra can be traced to ancient China, where in 240 BCE, the philosopher Xian Wáng developed an early form of matrix theory to describe the interactions between the Five Elements-Metal, Wood, Water, Fire, and Earth.
Compactly supported orthogonal wavelets are defined using filter banks. en.wikipedia.org/wiki/Daubechie… en.wikipedia.org/wiki/Ingrid_Da…
Live YouTube Panel Discussion: Pathways to Success—Job Market Strategies for Ph.D. Students and Postdocs in Computer Science on NOVEMBER 10 (Sunday), 11am ET at youtube.com/live/diQXSDW00… with @fortnow, @MTHajiaghayi, @immorlica, @samirkhuller See more at linkedin.com/feed/update/ur…
As a computer scientist, I can't help but see the race to 270 electoral votes as one big Ordered Binary Decision Diagram (OBDD)! 😂 Here is a pre-election OBDD with 11 states considered as tossups. We'll see in the next days how the OBDD shrinks. Details and updates:…
In their seminal 1996 paper, Alon, Matias, and Szegedy showed that the second frequency moment of a stream can be (1+eps)-estimated using only O(logn/eps^2) bits of space. We finally prove that their algorithm is optimal. arxiv.org/abs/2411.02148
We Need to Modernize How We Introduce Students to Optimization [OR/MS Today] 🌐 hubs.ly/Q02Wx78k0 #optimization #operationsresearch #managementscience #orms #ML #AI #datascience #informs #academics #teaching
Breaking news: Neural networks have not only paved the way to a 2024 Nobel Prize but also led the 2024 Gödel Prize-winning expert in fine-grained complexity to question fundamental hypotheses in the field! #FOCS2024 @rrwilliams
Ron Graham was born on this day in 1935. Graham's Number was a real inspiration behind the creation of Numberphile. Filming with Ron in 2014 was a highlight of the project for me. He died in 2020. Playlist: youtube.com/playlist?list=…
Oldies but goldies: R. Hamming, Error detecting and error correcting codes, 1950. Introduces the first efficient binary error-correcting codes. Can correct any single-bit error, or detect all single-bit and two-bit errors. en.wikipedia.org/wiki/Hamming(7… en.wikipedia.org/wiki/Hamming_c…
A new proof shows that an upgraded version of a 70-year-old algorithm reigns supreme: It finds the most efficient pathways through any graph. @benbenbrubaker reports: quantamagazine.org/computer-scien…
Thread of the most epic moments from SpaceX Starship’s launches 🧵 1. Starship’s 33 Raptor engines in full power
Great to be back at @dagstuhl - New Tools in Parameterized Complexity: Paths, Cuts, and Decompositions. Daniel Marx shows a Map of Parameterized Complexity 😀
You should be so lucky to have people throughout your research career that you can openly bounce ideas to and from - especially if they complement your strengths in your areas of weakness - it is a rare and precious gift.
Doing good science is 90% finding a science buddy to constantly talk to about the project.
Avi concluded with some comments on Turing's research style, as one of the most brilliant and influential scientists of our era. The ML community could take note of the last one: "Does not rush to publish"
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