Tootfinder

carps: A Framework for Comparing N Hyperparameter Optimizers on M Benchmarks
Carolin Benjamins, Helena Graf, Sarah Segel, Difan Deng, Tim Ruhkopf, Leona Hennig, Soham Basu, Neeratyoy Mallik, Edward Bergman, Deyao Chen, Fran\c{c}ois Cl\'ement, Matthias Feurer, Katharina Eggensperger, Frank Hutter, Carola Doerr, Marius Lindauer
https://

carps: A Framework for Comparing N Hyperparameter Optimizers on M Benchmarks
Hyperparameter Optimization (HPO) is crucial to develop well-performing machine learning models. In order to ease prototyping and benchmarking of HPO methods, we propose carps, a benchmark framework for Comprehensive Automated Research Performance Studies allowing to evaluate N optimizers on M benchmark tasks. In this first release of carps, we focus on the four most important types of HPO task types: blackbox, multi-fidelity, multi-objective and multi-fidelity-multi-objective. With 3 336 tasks…

Marie made Waffles! Egg bacon tea coffee. Weekend was a play, a soccer match, hiking and a rugby match! Tonight probably games. Waffle stack instead of plate pic today 😅 #TogetherBreakfast https://photos.app.goo.gl/KmsRtkq8fRL9j6cP9

Told my kid to tell classmates that this RCB match is like the Red Sox and the Curse of the Bambino…and classmates who grew up in New England have no idea what that is!

This https://arxiv.org/abs/2412.16941 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Overpartitions with separated overlined parts and non-overlined parts
Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts).

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…