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arXiv:2603.03513v1 Announce Type: cross Abstract: We introduce a spectral approach to characterizing the three-dimensional Edwards-Anderson spin glass. By analyzing the eigenvalue statistics of overlap matrices...
arXiv:2603.03523v1 Announce Type: cross Abstract: We study reinforcement learning in infinite-horizon discounted Markov decision processes with continuous state spaces, where data are generated online from...
arXiv:2603.03558v1 Announce Type: cross Abstract: Inspired by the formalism that relates the star-exponential with the quantum propagator for bosonic systems, in this work we introduce...
arXiv:2603.03613v1 Announce Type: cross Abstract: The No Free Lunch (NFL) theorem guarantees equal average performance only under uniform sampling of a function space closed under...
arXiv:2603.03621v1 Announce Type: cross Abstract: We develop a rigorous framework for extending neural operators to handle out-of-distribution input functions. We leverage kernel approximation techniques and...
arXiv:2603.03626v1 Announce Type: cross Abstract: Low-dimensional structure in real-world data plays an important role in the success of generative models, which motivates diffusion models defined...
arXiv:2603.03628v1 Announce Type: cross Abstract: The HOMFLY-PT and Kauffman polynomials are related to each other for special classes of knots constructed by full twists and...
arXiv:2603.03632v1 Announce Type: cross Abstract: Safety filters based on Control Barrier Functions (CBFs) provide formal guarantees of forward invariance, but are often difficult to implement...
arXiv:2603.03664v1 Announce Type: cross Abstract: Learning-to-communicate (LTC) in partially observable environments has received increasing attention in deep multi-agent reinforcement learning, where the control and communication...
arXiv:2603.03700v1 Announce Type: cross Abstract: Despite the remarkable empirical success of score-based diffusion models, their statistical guarantees remain underdeveloped. Existing analyses often provide pessimistic convergence...
arXiv:2603.03712v1 Announce Type: cross Abstract: Malware attacks in today's vast digital ecosystem pose a serious threat. Understanding malware propagation dynamics and designing effective control strategies...
arXiv:2603.03759v1 Announce Type: cross Abstract: Many large-scale platforms and networked control systems have a centralized decision maker interacting with a massive population of agents under...
arXiv:2603.03816v1 Announce Type: cross Abstract: This paper is motivated by a cutting-edge application in neuroscience: the analysis of electroencephalogram (EEG) signals recorded under flash stimulation....
arXiv:2603.03926v1 Announce Type: cross Abstract: State-of-the-art ensemble Kalman filtering (EnKF) algorithms require incorporating localization techniques to cope with the rank deficiency and the inherited spurious...
arXiv:2603.03998v1 Announce Type: cross Abstract: Quantum Singular Value Transformation (QSVT) provides a unified framework for applying polynomial functions to the singular values of a block-encoded...
arXiv:2603.04014v1 Announce Type: cross Abstract: In the pure Calculus of Constructions (CC) one can define data types and function over these, and there is a...
arXiv:2603.04062v1 Announce Type: cross Abstract: Noisy labels in distributed datasets induce severe local overfitting and consequently compromise the global model in federated learning (FL). Most...
arXiv:2603.04085v1 Announce Type: cross Abstract: In stellarator design, the coil winding surfaces $\Sigma\subset\mathbb R^3$ support current distributions $j$ that shape the magnetic field. This work...
arXiv:2603.04202v1 Announce Type: cross Abstract: We construct nonlinear wave operators and prove small-data asymptotic completeness for the Maxwell--Higgs system on the domain of outer communications...
arXiv:2603.04204v1 Announce Type: cross Abstract: Density aggregation is a central problem in machine learning, for instance when combining predictions from a Deep Ensemble. The choice...
arXiv:2603.04255v1 Announce Type: cross Abstract: A symbolic determinant under rank-one restriction computes a polynomial of the form $\det(A_0+A_1y_1+\ldots+A_ny_n)$, where $A_0,A_1,\ldots,A_n$ are square matrices over a...
arXiv:2603.04270v1 Announce Type: cross Abstract: The interfacial diffusion associated with finite volume method (FVM) discretizations of multiphase flows creates the need for an interface sharpening...
arXiv:2603.04298v1 Announce Type: cross Abstract: We present a new method for computation of the index of completely mixed equilibria in finite games, based on the...
arXiv:2603.04315v1 Announce Type: cross Abstract: To characterize the community structure in network data, researchers have developed various block-type models, including the stochastic block model, the...