When Geometry, Energy, Artificial Intelligence and Neuroscience Converge Modern Artificial Intelligence is rapidly moving beyond the idea that learning simply means minimizing an error function. Increasingly, researchers are asking a deeper question: what is the structure of the space in which learning takes place? This question becomes particularly important when the system being modelled is constrained, nonlinear, dynamic, or governed by physical principles. A recent work titled “Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers” , by Zhangyong Liang and Huanhuan Gao, introduces Energy Manifold Natural Gradient Descent (EMNGD) , a mathematical framework that extends energy-based natural-gradient optimization from unconstrained Euclidean parameter spaces to constrained Riemannian parameter manifolds . At its core, the framework proposes a simple but powerful principle: An optimization algorithm should not only determine how to reduce error; it sh...
The Supplementary
Motor Area (SMA) is a region of the cerebral cortex that plays a crucial role
in the planning, initiation, and coordination of voluntary movements. Here is
an overview of the Supplementary Motor Area (SMA):
1. Location:
oThe Supplementary
Motor Area is located in the medial surface of the frontal lobe, anterior to
the primary motor cortex (M1), and is part of the premotor cortex. It is
situated bilaterally in the superior frontal gyrus.
2. Function:
oThe SMA is
involved in the planning and coordination of complex movements, especially
sequences of movements and bilateral movements. It plays a role in the
preparation and organization of motor actions before their execution.
3. Motor Planning:
oThe SMA is
particularly important for the internal generation of movements, such as those
involved in tasks that require motor planning without external cues. It is
involved in the coordination of movements based on internal representations of
actions.
4. Bilateral
Movements:
oThe SMA is known
to be involved in the coordination of bilateral movements, where both sides of
the body need to work together in a synchronized manner. It helps in
synchronizing movements between the two sides of the body.
5. Role in Motor
Learning:
oThe SMA is also
implicated in motor learning processes. It is involved in the acquisition of
new motor skills and the consolidation of motor memory. Damage to the SMA can
lead to difficulties in learning new motor tasks.
6. Connections:
oThe SMA has
extensive connections with other motor areas of the brain, including the
primary motor cortex, premotor cortex, basal ganglia, and cerebellum. These
connections allow for the integration of motor planning and execution
processes.
7. Clinical
Implications:
o Dysfunction of
the SMA has been associated with movement disorders such as apraxia, where
individuals have difficulty planning and executing purposeful movements. It is
also implicated in conditions like Parkinson's disease and epilepsy.
8. Research and
Stimulation:
oThe SMA is a
target for research using techniques like transcranial magnetic stimulation
(TMS) to study its role in motor control and movement preparation. Stimulation
of the SMA has been explored as a potential therapeutic approach in movement
disorders.
In summary, the
Supplementary Motor Area (SMA) is a critical region of the brain involved in
motor planning, coordination of complex movements, and the internal generation
of actions. Its functions extend to bilateral movements, motor learning, and
the integration of motor processes. Understanding the role of the SMA provides
insights into motor control mechanisms and neurological conditions affecting
movement coordination.
Comments
Post a Comment