Researchers have recently made dramatic advancements in neuromorphic computing, indicating its potential reaches well beyond existing applications. A paper published in Nature Machine Intelligence highlights neuromorphic hardware developed by Intel, which can efficiently solve differential equations using the finite element method (FEM). This new paradigm has the potential to change the way we compute, taking advantage of brain inspired principles such as neuro- and bio-plausible learning.
James B. (Brad) Aimone, a prominent researcher in the field, asserts that neuromorphic computing has broader implications than many computer scientists have previously recognized. He urges us to broaden our inquiries into mathematical questions with this experimental perspective.
“It’s worth looking deeply at any kind of mathematical problem.” – James B. (Brad) Aimone
Neuromorphic Hardware and Its Functionality
Intel’s Loihi 2 is a leading example of neuromorphic hardware that’s being developed to replicate at least some of the human brain’s capabilities. The human brain is capable of running on under 10 watts of power, while simultaneously processing huge amounts of complicated information in real-time. Neuromorphic computing is directed at specific applications that operate more like the brain. This unusual technique is what makes it so well suited for partial differential equations.
The Sandia collaborative team recently adapted the FEM to a model of the motor cortex. Very well done them, they did it on Loihi 2. This application demonstrates that the neuromorphic system is indeed capable of solving partial differential equations effectively. What’s more, it underlines a prospective energy edge over conventional computational systems.
“We have made tremendous advances in AI, but people are building power plants.” – James B. (Brad) Aimone
Aimone and his colleagues believe that the energy efficiency of neuromorphic computing could revolutionize high-performance computing tasks, especially those requiring substantial resources under traditional methods.
The Connection Between Brain Function and Computation
More importantly, the research provides strong inspiration toward solving how the brain encodes information and using it to drive the development of neuromorphic systems. Neurons in the brain process rich, weighted information to emit precise, regulated time-coded, all-or-nothing pulses, similar to neuromorphic hardware. This parallelism implies that the brain operates on sophisticated mathematical challenges in, some would argue, the same way as neuromorphic computing.
Bradley Theilman, another researcher involved in the study, elaborates on this relationship:
“It’s a complex problem. The brain is controlling muscles in response to real-time information to make contact with the ball.” – Bradley Theilman
This nugget of wisdom suggests that by better understanding neurological processes, we might anticipate and encourage future improvements in computational techniques and hardware designs.
Implications for Future Research
Together, these findings’ implications are significant. While standard computational methods have been perfected on traditional hardware, neuromorphic systems have recently emerged as a powerful alternative. Researchers such as Steve Furber have demonstrated that neuromorphic hardware is extremely versatile. It can very easily implement various techniques, including the Monte Carlo method, to model processes like heat diffusion.
The Sandia team’s work not only proves that neuromorphic systems can tackle complex equations but invites further exploration into its capabilities across different domains of mathematics and engineering. Relevant progress While there are no limits to what can be done with neuromorphic computing, Aimone acknowledges some relevant progress.
“There’s no reason to assume you can’t do something in neuromorphic computing.” – James B. (Brad) Aimone
As work progresses, the prospect for neuromorphic computing to radically change the way mathematical problems are solved looks increasingly exciting. These discoveries represent a major milestone towards understanding and tapping into advanced, brain-like computational power for practical use.

