Serenade in Hyde Park

This fall, I’m starting a new chapter as a PhD student at the Booth School of Business. I finished my undergrad in Shanghai — another windy city. Coincidence, perhaps, that I end up here in Chicago, as if the wind insists on pushing a bit for the chapters of my life. Chicago has its grand, confident skyline, but Hyde Park — where I now live — feels like a world of its own....

September 3, 2025

Xfinity's Wifi Plan Pricing Assortment Challenges IIA

Some fun observations when I was opening up Wi-Fi service at my apartment.

September 2, 2025

Lyrical Masterclass of Rampal

Oftentimes, the most beautiful piece is never the most difficult or the flashiest one. Cantabile. Lyrical. Expressive. Jean-Pierre Rampal plays the flute as if he were singing — every phrase shaped like a breath, every note carrying the weight of a spoken word. Camille Saint-Saëns’ Romance, Op. 37 isn’t a technically demanding piece. The notes are simple, the scales predictable, the fingerings familiar. On paper, it looks almost effortless — something any advanced student could easily sight-read....

September 1, 2025

So-called random improvisation

The movie An American in Paris has almost all of its music based on George Gershwin’s compositions and adjustments. Not only in the grand ballet scene or the famous “I got rhythm” dance. It’s a very luxury, abusive application of all Gershwin’s music. For example. where’s a tiny fleeting moments, when Adam Cook (the pianist) playing improvised Jazz, Henri Baurel (a singer) teased him about Jazz’s ‘randomness’ Da da da da da da… that was how you win your scholarship?...

August 31, 2025

Gershwin's An American in Paris

Classical music are (almost) defined as those scored to be replayed. Jazz, on the other hand, blew this wall open by improvisation. This makes jazz infinitely more adaptable. For example, if you swap the French horn part in Tchaikovsky’s Symphony No. 5 to Oboe, purists might want to put you on a murder list. But in jazz, rewriting, embellishing, and reinventing are celebrated. A pianist can take a popular jazz standard and spin it into a dazzling, virtuosic variation, and nobody bats an eye....

August 30, 2025

How to make ANYONE fall in love with you by Leil Lowndes

Masterpiece!!!

August 29, 2025

The Implicit Barrier — Lightweight Interior-Point Methods for Market Equilibria

I’ve listened to enough of Professor Ye’s talks that my Apple Photos automatically organizes pictures of his slides into a “memory” album (by recognizing Prof Ye of course). Interestingly delightful — I always learn so much from them! Professor Ye: Slay. Another refreshing piece of research on applying OR to game theory: The Implicit Barrier of Utility Maximization: An Interior-Point Approach for Market Equilibria Chuwen Zhang, Chang He, Bo Jiang, Yinyu Ye | ArXiv link...

August 28, 2025

Syncing Overleaf with Local Editing

I’m not a LaTeX expert, but after a few papers and too many deadlines, here’s the system I’ve been using to stay sane, and stay synced. TeX was created by Donald Knuth, the legendary computer scientist, while writing the legendary The Art of Computer Programming (He wasn’t happy with the typesetting quality, so he built TeX in 1978). The beauty is that LaTeX’s elegance lies in its logic + automation — like once the stage is set up, the rest is “the creation of beautiful books”....

August 27, 2025

Anniversary 2025

Two years! Ariana’s Blog quietly turns another page today. Another anniversary, another orbit around this little sun of words. Small but meaningful changes have crept in. I’ve been trying to write more independently, to keep AI assistance at some distance except grammar debugs. There’s a certain procrastination settling in — perhaps next year I’ll shake it off a bit. My taste in classical music has evolved, too — reshaped by evenings spent in concert halls instead of restaurants, my shopping and dining budgets willingly surrendered to (a lot of) Tchaikovsky, Rachmaninov and Chopin....

August 26, 2025

Fairness in Combinatorial Assignment

What a joy it is to stumble upon a seminal paper—then realizing it’s by someone you’ll get to know in the future. Moments like these make research feel like a small, interconnected world: The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes Eric Budish link This paper proposes a new mechanism for combinatorial assignment—for example, assigning schedules of courses to students—based on an approximation to competitive equilibrium from equal incomes (CEEI) in which incomes are unequal but arbitrarily close together....

August 25, 2025