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Quantum-Assisted Learning of Time-Dependent Parabolic PDEs
Nahid Binandeh Dehaghani, Ban Tran, A. Pedro Aguiar, Rafal Wisniewski, Susan Mengel
https://arxiv.org/abs/2508.17553 h…

Quantum-Assisted Learning of Time-Dependent Parabolic PDEs
We present a hybrid quantum-classical framework for solving general time-dependent parabolic partial differential equations (PDEs) using quantum variational circuits. Building on the QPINN approach, this method applies broadly to parabolic PDEs. To demonstrate its effectiveness, we focus on the 1D and 2D heat equations as representative examples and analyze its performance under constrained quantum resources. Our results show that the framework can accurately capture spatiotemporal dynamics, of…

A Category Theory Framework for Macroeconomic Modeling: The Case of Argentina's Bimonetary Economy
Luciano Pollicino
https://arxiv.org/abs/2508.13233 https://

A Category Theory Framework for Macroeconomic Modeling: The Case of Argentina's Bimonetary Economy
Traditional macroeconomic models, based on static algebraic systems, fail to capture the dynamics of a bimonetary economy like Argentina's. This paper proposes a framework based on category theory to develop a more flexible and structured model that represents the evolving relationships between key variables such as inflation expectations, interest rates, and currency demand. Using concepts like objects, morphisms, learning/forgetful functors, limits, and colimits, the model is applied to empir…