arXiv:2508.09103v3 Announce Type: replace-cross
Abstract: A quantum thermodynamic system is described by a Hamiltonian and a list of conserved, non-commuting charges, and a fundamental goal is to determine the minimum energy of the system subject to c…
arXiv:2604.03068v1 Announce Type: cross
Abstract: We analyze the one-pass stochastic gradient descent dynamics of a two-layer neural network with quadratic activations in a teacher–student framework. In the high-dimensional regime, where the input di…
arXiv:2604.01938v1 Announce Type: new
Abstract: The structure of all the permutations of a sequence can be represented as a permutohedron, a graph where vertices are permutations and two vertices are linked if a swap of adjacent elements in the permut…
arXiv:2312.06608v4 Announce Type: replace-cross
Abstract: The dynamics of many-body systems can often be captured in terms of only a few relevant variables. Mathematical and numerical approaches exist to identify these variables by exploiting a separa…
arXiv:2604.01484v1 Announce Type: cross
Abstract: The topological gap $\Delta = TP_{H_1}^{real} – TP_{H_1}^{shuf}$ — the excess $H_1$ total persistence of the majority-spin alpha complex over a density-matched null — encodes critical correlations in…
arXiv:2604.02121v1 Announce Type: cross
Abstract: Stochastic kinetic models are ubiquitous in physics, yet inferring their parameters from experimental data remains challenging. In deterministic models, parameter inference often relies on gradients, a…
arXiv:2604.00067v1 Announce Type: cross
Abstract: An agent that operates sequentially must incorporate new experience without forgetting old experience, under a fixed memory budget. We propose a framework in which memory is not a parameter vector but …
arXiv:2604.00947v1 Announce Type: new
Abstract: Since the random language model was proposed by E. DeGiuli [Phys. Rev. Lett. 122, 128301], language models have been investigated intensively from the viewpoint of statistical mechanics. Recently, the ex…
arXiv:2512.18147v2 Announce Type: replace-cross
Abstract: Accurate calculations of solvation free energies remain a central challenge in molecular simulations, often requiring extensive sampling and numerous alchemical intermediates to ensure sufficie…
arXiv:2604.00919v1 Announce Type: cross
Abstract: Variational autoencoders (VAEs) learn compact latent representations of complex data, but their generative capacity is fundamentally constrained by the choice of prior distribution over the latent spac…