Researchers applied the mathematical theory of synchronization to clarify how recurrent neural networks (RNNs) generate predictions, revealing a certain map, based on the generalized synchronization, that yields correct target values. They showed that conventional reservoir computing (RC), a type of RNN, can be viewed as a linear approximation, and introduced a “generalized readout” incorporating further order approximations. Using a chaotic time-series forecasting task, they demonstrated that this approach dramatically enhances both prediction accuracy and robustness.

The temperature changes hour to hour and day to day, exchange rates behave no differently. Wherever studies of the variability of similar one-dimensional time series are concerned, analyses based on multifractals have managed to gain recognition. Now, these tools have been developed and successfully applied to two-dimensional cases, including the study of abstract paintings by Jackson Pollock.

Oxford, OH and Cleveland, OH – January 15, 2025 -  Miami University and Cleveland Clinic are partnering to advance education in quantum computing and elevate Ohio’s global position in this transformative field. Through an innovative partnership, Ohio’s first specialized degree programs and research experiences in quantum computing will be established. This initiative also will cultivate scientific and entrepreneurial talent to develop companies, elevate businesses, and advance organizations that leverage quantum computing.