Tootfinder

This https://arxiv.org/abs/2406.11369 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCG_…

Approximation Algorithms for Smallest Intersecting Balls
We study a general smallest intersecting ball problem and its soft-margin variant in high-dimensional Euclidean spaces for input objects that are compact and convex. These two problems link and unify a series of fundamental problems in computational geometry and machine learning, including smallest enclosing ball, polytope distance, intersection radius, $\ell_1$-loss support vector machine, $\ell_1$-loss support vector data description, and so on. Leveraging our novel framework for solving zero…

Posterior Contraction for Sparse Neural Networks in Besov Spaces with Intrinsic Dimensionality
Kyeongwon Lee, Lizhen Lin, Jaewoo Park, Seonghyun Jeong
https://arxiv.org/abs/2506.19144

Posterior Contraction for Sparse Neural Networks in Besov Spaces with Intrinsic Dimensionality
This work establishes that sparse Bayesian neural networks achieve optimal posterior contraction rates over anisotropic Besov spaces and their hierarchical compositions. These structures reflect the intrinsic dimensionality of the underlying function, thereby mitigating the curse of dimensionality. Our analysis shows that Bayesian neural networks equipped with either sparse or continuous shrinkage priors attain the optimal rates which are dependent on the intrinsic dimension of the true structu…

Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature
Charlie Dworaczek Guera, Ronan Memin
https://arxiv.org/abs/2507.14008

Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature
We consider a model for a gas of $N$ confined particles subject to a two-body repulsive interaction, namely the one-dimensional log or Riesz gas. We are interested in the so-called \textit{high temperature} regime, \textit{ie} where the inverse temperature $β_N$ scales as $Nβ_N\rightarrow2P>0$. We establish, in the log case, a large deviation (LD) principle and moderate deviations estimates for the largest particle $x_\mathrm{max}$ when appropriately rescaled . Our result is an extension of […

This https://arxiv.org/abs/2502.20327 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Parabolic bundles and the intersection cohomology of moduli spaces of vector bundles on curves
The study of the intersection cohomology of moduli spaces of semistable bundles was initiated by Frances Kirwan in the 1980's. In this paper, we give a complete geometric proof of a recursive formula, which reduces the calculation of the intersection Betti numbers of the moduli spaces of semistable bundles on Riemann surfaces in degree-0 and arbitrary rank to the known formulas of the Betti numbers of the smooth, degree-1 moduli spaces. Our formula was motivated by the work of Mozgovoy and Rein…

Just found out that an old intranet we initially created for a customer back in 2008-9 (on Drupal 4.7 or maybe 5, subsequently upgraded through to Drupal 6) is still running (not on the open internet). Their MS Sharepoint replacement for it has been... less than stunningly successful in its designated role.
I suspect that original Intranet, even inflation adjusted, would've cost the orders of magnitude less in up-front development and per-year maintenance.

Nesting-driven ferromagnetism of itinerant electrons
Ya. I. Rodionov, A. V. Rozhkov, M. E. S. Beck, A. O. Sboychakov, K. I. Kugel, A. L. Rakhmanov
https://arxiv.org/abs/2507.11614

Nesting-driven ferromagnetism of itinerant electrons
We theoretically investigate a model with electrons and holes whose Fermi surfaces are perfectly nested. The fermions are assumed to be interacting, both with each other and with the lattice. To suppress inhomogeneous states, a sufficiently strong long-range Coulomb repulsion is included into the model. Using the mean field approximation, one can demonstrate that in the absence of doping, the ground state of such a model is insulating and possesses a density-wave order, either SDW, or CDW. Upon…

This https://arxiv.org/abs/2505.23993 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Cellular Sheaves on Higher-Dimensional Structures
Defining cellular sheaves beyond graph structures, such as on simplicial complexes containing higher-dimensional simplices, is an essential and intriguing topic in topological data analysis (TDA) and the development of sheaf neural networks. In this paper, we explore methods for constructing non-trivial cellular sheaves on spaces that include structures of dimension greater than one. This extends the focus from 0- or 1-dimensional components, such as vertices and edges, to elements like triangl…

This https://arxiv.org/abs/2505.23821 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

SpeechVerifier: Robust Acoustic Fingerprint against Tampering Attacks via Watermarking
With the surge of social media, maliciously tampered public speeches, especially those from influential figures, have seriously affected social stability and public trust. Existing speech tampering detection methods remain insufficient: they either rely on external reference data or fail to be both sensitive to attacks and robust to benign operations, such as compression and resampling. To tackle these challenges, we introduce SpeechVerifer to proactively verify speech integrity using only the …

This https://arxiv.org/abs/2401.04176 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Simple Diagonal State Designs with Reconfigurable Real-Time Circuits
Unitary designs are widely used in quantum computation, but in many practical settings it suffices to construct a diagonal state design generated with unitary gates diagonal in the computational basis. In this work, we introduce a simple and efficient diagonal state 3-design based on real-time evolutions under 2-local Hamiltonians. Our construction is inspired by the classical Girard-Hutchinson trace estimator in that it involves the stochastic preparation of many random-phase states. Though th…

This https://arxiv.org/abs/2406.18497 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The equivariant model structure on cartesian cubical sets
We develop a constructive model of homotopy type theory in a Quillen model category that classically presents the usual homotopy theory of spaces. Our model is based on presheaves over the cartesian cube category, a well-behaved Eilenberg-Zilber category. The key innovation is an additional equivariance condition in the specification of the cubical Kan fibrations, which can be described as the pullback of an interval-based class of uniform fibrations in the category of symmetric sequences of cu…