Conveners
(DAPI) M2-6 Applied Physics I | Physique appliquée I (DPAE)
- Bob Laxal
Reservoir Computing (RC) is a simple and efficient machine learning (ML) framework for learning and forecasting the dynamics of nonlinear systems. Despite RC's remarkable successes—for example, learning chaotic dynamics—much remains unknown about its ability to learn the behavior of complex systems from data (and data alone). In particular, real physical systems typically possess multiple...
A three-component description of nonlinear body waves in porous media is presented. The processes observed and described here have been patented and applied commercially to oil production and groundwater remediation. It is shown here that even if the correct nonlinear equations are used, three-component wave descriptions of porous media cannot be constructed solely from the equations of...
Korteweg-de Vries (KdV) is a useful partial differential equation (PDE) that models the evolution of waves in shallow water with weak dispersion and weak nonlinearity. Kadomtsev-Petviashvili (KP) equation can be thought of as an extension of KdV to two spatial dimensions. As a result, in addition to containing the weak nonlinearity and weak dispersion, it is also weakly two-dimensional....
In a prediction market, traders buy and sell contracts linked to the outcome of real-world events such as “Will Donald Trump be Re-Elected President on November 5, 2024”. Each contract (share) pays the bearer 1 dollar if the event happens by the given date, and expires worthless (0 dollars) otherwise. Because contracts trade between 0 and 1 dollar, the price at any given time represents the...
Real networked systems are fundamentally vulnerable to attacks that fragment the system via removal of a handful of key nodes, akin to percolation transitions in lattice systems. Though the problem of optimally attacking a network is NP hard [1], deep reinforcement learning is often able to learn near-optimal solutions to similar problems on disordered topologies (graphs) [2,3]. This raises...
