Blog
TTRL: Test-Time Reinforcement Learning
This paper investigates Reinforcement Learning (RL) on data without explicit labels for reasoning tasks in Large Language Models (LLMs). The core challenge of the problem is reward estimation during inference while not having access to ground-truth information. While this setting appears elusive,...
Extreme mass ratio inspirals around topological stars
We study a point scalar charge in circular orbit around a topological star, a regular, horizonless soliton emerging from dimensional compactification of Einstein-Maxwell theory in five dimensions, which could describe qualitative properties of microstate geometries for astrophysical black holes. This is the...
Response of the LMC’s Bar to a Recent SMC Collision and Implications for the SMC’s Dark Matter Profile
The LMC’s stellar bar is offset from the outer disk center, tilted from the disk plane, and does not drive gas inflows. These properties are atypical of bars in gas-rich galaxies, yet the LMC bar’s strength and radius are similar to typical...
Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity
We investigate 1D and 2D cluster states under local decoherence to assess the robustness of their mixed-state subsystem symmetry-protected topological (SSPT) order. By exactly computing fidelity correlators via dimensional reduction of effective statistical mechanics models, we pinpoint the critical error rate for...
Topological Origin of Andreev Flatland in UTe$_2$: Implication for Josephson STM Measurements
We propose the surface of topological superconductors as a platform for realizing two-dimensional flat bands, where electron interactions play a crucial role. The surface flat bands originate from topological features supported by two key mechanisms: (1) a trivial Chern number prevents the...
Universal Kerr effect in A-type antiferromagnets
Magneto-optic Kerr effect (MOKE) is a powerful probe of broken time-reversal symmetry ($\mathcal{T}$), typically used to study ferromagnets. While MOKE has been observed in some antiferromagnets (AFMs) with vanishing magnetization, it is often associated with structures whose symmetry is lower than basic...
The existence and local uniqueness of the eigenfunctions of the non-linear operator $ Δ_H u^{n}$ in the hyperbolic Poincaré half-plane
In this article we find locally an eigenfunctions for a particular nonlinear hyperbolic differential operator $\Delta_H u^{n}$, where $\Delta_H$ is the hyperbolic Laplacian in the half-plane of Poincair\’e. We have proved that these eigenfunctions are an analytic and non-exact whose coefficients satisfy...
A detection-task-specific deep-learning method to improve the quality of sparse-view myocardial perfusion SPECT images
Myocardial perfusion imaging (MPI) with single-photon emission computed tomography (SPECT) is a widely used and cost-effective diagnostic tool for coronary artery disease. However, the lengthy scanning time in this imaging procedure can cause patient discomfort, motion artifacts, and potentially inaccurate diagnoses due...
Physics-Informed Inference Time Scaling via Simulation-Calibrated Scientific Machine Learning
High-dimensional partial differential equations (PDEs) pose significant computational challenges across fields ranging from quantum chemistry to economics and finance. Although scientific machine learning (SciML) techniques offer approximate solutions, they often suffer from bias and neglect crucial physical insights. Inspired by inference-time scaling...
A rank-$2$ vector bundle on ${\mathbb P}^2\times {\mathbb P}^2$ and projective geometry of nonclassical Enriques surfaces in characteristic 2
We construct a rank-$2$ indecomposable vector bundle on $\mathbb P^2\times\mathbb P^2$ in characteristic $2$ that does not come from a bundle on $\mathbb P^2$ by factor projection nor from a bundle on $\mathbb P^{m} $ by central projection. We show that the...