Given a partially observed matrix $ A \in \mathbb{R}^{m \times n} $, where only entries $ A_{ij} $ for $ (i, j) \in \Omega \subseteq [m] \times [n] $ are known, the goal is to recover the missing values and construct a full matrix $ \hat{A} \in \mathbb{R}^{m \times n} $. For example, think of known entries of $A_{ij}$ as observation of $m$ consumers’ past ratings on $n$ products. The goal is to make predictions....
I’m a big fan of Guy Ritchie’s action films. They have rhythm, style, and tension — and above all, they move like music. The Man from U.N.C.L.E. (2015) directed by Guy Ritchie. The Man from U.N.C.L.E. is, at a glance, a classic agent action film — think 007 or Kingsman. It’s sleek, witty, and holds up relatively well in both plot and characters. But what sets it apart is how much care and craftsmanship Ritchie brings to every frame....
Shanghai’s annual Music in the Summer Air (MISA) opens today. This year’s opening concert features Salonen conducting the NY Philharmonic. The program ensembles a luxurious night packed with some of 20th-century’s most color-saturated orchestral music: Ravel’s Ma Mére l’Oye Debussy’s La Mer Berlioz Symphonie Fantastique NY Phil’s musicians has amazing technique (of course) — like in Ma mère l’Oye, the orchestra sounds like it’s breathing in watercolor. Both Ravel and Salonen tonight are really masters of delicate textures....
Professor Nicolas Lambert recently gave a talk at SUFE on ‘Paying for Estimates Incentives in Statistical Reporting.’
This piece comes with plot, and is practically a 19-century fever dream
Spending four years of undergrad in Shanghai feels like a kind of luxury. One big reason is how incredibly accessible and convenient transportation is. The city is deeply interconnected — a feature that, in many ways, makes up for a lot of the everyday frustrations of urban life. Shanghai has four major train stations the size of airports, plus two actual airports. I’ve visited all of them. But Shanghai South Railway Station stands out the most to me — especially in terms of design and aesthetics....
Here are three immensely useful tips my advisors gave me: Word Upperbound per Slide Aim for no more than three bullet points per slide, with six words per point. This isn’t a strict rule, but it’s a great standard and minimalistic ethos to follow whenever possible. Structure: Readability + Math This is a more advanced technique, but incredibly helpful for theoretical econ talks. Try to layer your slides with two different levels of information....
another episode of Youtube waltz watch
挥一挥衣袖，不带走一片云彩 (I wave my sleeves. Not even a wisp of cloud will I bring away) Chua Lam, the beloved food critic and cultural icon based in Hong Kong, passed away today. His deep love for food went beyond appetite—it shaped a way of living. A philosophy that was unique, profound, popular, and deeply worth remembering. Rest in peace. Wish heaven (or anywhere you’re in) have great food. I don’t think I can explain the essence of this wise man’s worldview in a single paragraph....
I designed a beamer latex template. Here’s the overleaf link and here’s the demo pdf. See the pdf for other pages of the demo. Design idea: Use the Poppins typeface — it’s a round, sans-serif font. (an open-source substitute for Google’s beautiful proprietary font Product Sans). (See Google Fonts: Poppins for details. Color: black text with pink accent on light-beige background. Minimalistic functions: I disabled navigation toolbar and the page that list references....