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Physics-Informed Machine Learning for Characterizing System Stability

arXiv:2511.08831v1 Announce Type: new Abstract: In the design and operation of complex dynamical systems, it is essential to ensure that all state trajectories of the dynamical system converge to a desired equilibrium within a guaranteed stability region. Yet, for many…

Solver-Free Decision-Focused Learning for Linear Optimization Problems

arXiv:2505.22224v2 Announce Type: replace Abstract: Mathematical optimization is a fundamental tool for decision-making in a wide range of applications. However, in many real-world scenarios, the parameters of the optimization problem are not known a priori and must be predicted from…

Enhancing DPSGD via Per-Sample Momentum and Low-Pass Filtering

arXiv:2511.08841v1 Announce Type: new Abstract: Differentially Private Stochastic Gradient Descent (DPSGD) is widely used to train deep neural networks with formal privacy guarantees. However, the addition of differential privacy (DP) often degrades model accuracy by introducing both noise and bias.…

On topological descriptors for graph products

arXiv:2511.08846v1 Announce Type: new Abstract: Topological descriptors have been increasingly utilized for capturing multiscale structural information in relational data. In this work, we consider various filtrations on the (box) product of graphs and the effect on their outputs on the…

Rethinking Graph Super-resolution: Dual Frameworks for Topological Fidelity

arXiv:2511.08853v1 Announce Type: new Abstract: Graph super-resolution, the task of inferring high-resolution (HR) graphs from low-resolution (LR) counterparts, is an underexplored yet crucial research direction that circumvents the need for costly data acquisition. This makes it especially desirable for resource-constrained…

Tight Bounds for Answering Adaptively Chosen Concentrated Queries

arXiv:2507.13700v2 Announce Type: replace-cross Abstract: Most work on adaptive data analysis assumes that samples in the dataset are independent. When correlations are allowed, even the non-adaptive setting can become intractable, unless some structural constraints are imposed. To address this, Bassily…