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arXiv:2506.13150v4 Announce Type: replace-cross Abstract: We propose a new Bayesian approach to generalize the federated Alternating Direction Method of Multipliers (ADMM). We show that the...
arXiv:2507.06764v4 Announce Type: replace-cross Abstract: In this work, we propose Fast Equivariant Imaging (FEI), a novel unsupervised learning framework to rapidly and efficiently train deep...
arXiv:2507.12686v2 Announce Type: replace-cross Abstract: We study the Finite-Dimensional Distributions (FDDs) of deep neural networks with randomly initialized weights that have finite-order moments. Specifically, we...
arXiv:2507.16553v2 Announce Type: replace-cross Abstract: In this study, we propose a robust control strategy for a counter-current heat exchanger. The primary objective is to regulate...
arXiv:2507.19943v3 Announce Type: replace-cross Abstract: We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form...
arXiv:2508.10454v2 Announce Type: replace-cross Abstract: We propose an accurate, efficient, and low-memory sum-of-Gaussians tensor neural network (SOG-TNN) algorithm for solving the high-dimensional Schr\"{o}dinger equation. The...
arXiv:2509.14345v2 Announce Type: replace-cross Abstract: Quantum conditional entropies play a fundamental role in quantum information theory. In quantum key distribution, they are exploited to obtain...
arXiv:2509.21675v2 Announce Type: replace-cross Abstract: Clustering is a hard discrete optimization problem. Nonconvex approaches such as low-rank semidefinite programming (SDP) have recently demonstrated promising statistical...
arXiv:2510.02540v2 Announce Type: replace-cross Abstract: This paper studies the use of kernel density estimation (KDE) for linear algebraic tasks involving the kernel matrix of a...
arXiv:2510.02595v4 Announce Type: replace-cross Abstract: Lubrication theory makes use of the assumptions of a long and thin fluid domain and a small scaled Reynolds number...
arXiv:2510.26303v3 Announce Type: replace-cross Abstract: Adam [Kingma & Ba, 2015] is the de facto optimizer in deep learning, yet its theoretical understanding remains limited. Prior...
arXiv:2511.00968v2 Announce Type: replace-cross Abstract: The adiabatic theorem is one of the most interesting and significant theorems in quantum mechanics. However, the adiabatic theorem can...
arXiv:2511.03460v3 Announce Type: replace-cross Abstract: We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform $p$-body interactions. We derive the R-matrix and...
arXiv:2511.14827v3 Announce Type: replace-cross Abstract: Wasserstein gradient flow provides a general framework for minimizing an energy functional $J$ over the space of probability measures on...
arXiv:2512.05637v3 Announce Type: replace-cross Abstract: Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their...
arXiv:2512.09191v3 Announce Type: replace-cross Abstract: There exist several different proposals for a measure in Quantum Gravity theories. Although sometimes being labelled as non covariant, the...
arXiv:2512.10217v2 Announce Type: replace-cross Abstract: PANDA is a powerful generic algorithm for answering conjunctive queries (CQs) and disjunctive datalog rules (DDRs) given input degree constraints....
arXiv:2601.13022v2 Announce Type: replace-cross Abstract: Building on the earlier work by Araki and Tanii, Aschieri et al., and Buratti et al., we demonstrate that every...
arXiv:2602.07970v3 Announce Type: replace-cross Abstract: Partial Differential Equations are precise in modelling the physical, biological and graphical phenomena. However, the numerical methods suffer from the...
arXiv:2602.07988v4 Announce Type: replace-cross Abstract: The Lorentz mirror model provides a clean setting to study macroscopic transport generated solely by quenched environmental randomness. We introduce...
arXiv:2602.21129v2 Announce Type: replace-cross Abstract: We present the exact analytic solution of the Makeenko-Migdal loop equations, solving planar QCD ($N_c \to \infty$) in the continuum...
arXiv:2603.01387v2 Announce Type: replace-cross Abstract: The Bayesian brain hypothesis has been a leading theory in understanding perceptual decision-making under uncertainty. While extensive psychophysical evidence supports...
arXiv:2603.03287v1 Announce Type: new Abstract: In the past decade, advances in artificial intelligence have revolutionized sketch-based 3D modeling, leading to a new paradigm known as...
arXiv:2603.03290v1 Announce Type: new Abstract: Long-horizon LLM agents require memory systems that remain accurate under fixed context budgets. However, existing systems struggle with two persistent...