Cal Aldred

Baseball Data Scientist. Opinions my own.

[Alexis Gallagher @alexisgallagher]

@BEBischof @CalAldred I literally generated the first hundred or so, if anyone is curious. This is for both even and odd fiber degree: https://t.co/okEIRcwuqy

[Cal Aldred @CalAldred]

Coming soon from the machine gods: the infinite ladder is just one row of a two-parameter factory of Jacobian counterexamples. The original map sits at (1,1), and every mapping degree from 3 onward appears.

[Cal Aldred @CalAldred]

Came up with a way to generate an infinite family of counterexamples, via Fable + GPT 5.6 Sol

[Cal Aldred @CalAldred]

https://t.co/6ws34OGWtF

[Cal Aldred @CalAldred]

There's an infinite ladder of this geometric construction too, per GPT 5.6 Sol and Fable 5! Integrate D^{m−1} for a quadratic D, mark a root of the primitive, forget the mark. Generically 2m−1 sheets, so no two rungs are polynomially equivalent.

[Cal Aldred @CalAldred]

Came up with a way to generate an infinite family of counterexamples, via Fable + GPT 5.6 Sol

[levent @__alpoge__]

hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final

((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)

[Cal Aldred @CalAldred]

There's an infinite ladder of this geometric construction too, per GPT 5.6 Sol and Fable 5! Integrate D^{m−1} for a quadratic D, mark a root of the primitive, forget the mark. Generically 2m−1 sheets, so no two rungs are polynomially equivalent.

[Andy Jiang @davikrehalt]

@littmath @__alpoge__ GPT:
Take π: P¹ × Sym²(P¹) → Sym³(P¹), (p, {q,r}) ↦ {p,q,r}.
R be its ramification divisor;
H ⊂ Sym³(P¹) ≅ P³ be hyperplane tangent but not osculating to the small diagonal;
X := (P¹ × Sym²(P¹)) \ (R ∪ π⁻¹(H)) ≅ A³;
Y := Sym³(P¹) \ H ≅ A³.
π|X: X → Y is counterexample

[Cal Aldred @CalAldred]

@__alpoge__ Used Fable + GPT 5.6 Sol to generate an infinite family of counterexamples, not sure how useful this is

[Cal Aldred @CalAldred]

@TylerJBurch @drivelinekyle @cwhite23_ Or BIC

[Cal Aldred @CalAldred]

@TylerJBurch @drivelinekyle @cwhite23_ And even more often you should be using log loss

[soph🧚🏻 @sunandsoph]

you are supposed to be fascinated by trees

[Cal Aldred @CalAldred]

@bubbleboi I find it’s quite important to tune gamma for xgboost models

[Cal Aldred @CalAldred]

Someone needs to make a benchmark for the benchmarks that benchmarks how hard it is for an AI agent to tell that the benchmark is in fact a benchmark

[Cal Aldred @CalAldred]

@MLBRandomStats @ESPNLunardi A 40 point win against a top 10 team?

[Cal Aldred @CalAldred]

@terronk @growing_daniel Rude

[Cal Aldred @CalAldred]

@alz_zyd_ It drives down the value of homes, but still gets passed on as a cost to renters, right? Seems fairly straightforward

[Cal Aldred @CalAldred]

@alz_zyd_ Whoops (1-p1)^2 + (p1^2)/3 = 1/3, p1 = 0.5

[Cal Aldred @CalAldred]

@alz_zyd_ Seems simple, from symmetry you know each player must have 1/3 chance to win no matter the number they choose and that all 3 players must have the same strategy. You can chain the results up from the choose 1 case which is (1-p1)^2 + p1^2 = 1/3, p1 = 0.5

[Cal Aldred @CalAldred]

@AriannaBSophia She told me to sit on it instead 😂

[Cal Aldred @CalAldred]

@AriannaBSophia Even after it’s filled up with bags? TIL, never got in trouble for that before