Skip to main content

Energy Manifold Natural Gradient Descent: From Riemannian Optimization to Modern Neuroscience, NeuroAI and Quantum Physics

Dr. Rishabh Pathak
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...
Post a Comment

Abnormal Synaptic Homeostasis in Autism Spectrum Disorders

Image
Dr. Rishabh Pathak

Abnormal synaptic homeostasis is a key feature observed in individuals with autism spectrum disorders (ASD), contributing to the cognitive and behavioral impairments associated with the condition. Here is an overview of the abnormal synaptic homeostasis in ASD:


1.      Synaptic Dysfunction in Autism:

o    Excitatory-Inhibitory Imbalance: Individuals with ASD often exhibit an imbalance between excitatory and inhibitory neurotransmission, leading to altered synaptic activity and neural circuit function. This imbalance can affect information processing, sensory integration, and cognitive functions in individuals with ASD [T10].

o    Altered Synaptic Plasticity: Impairments in synaptic plasticity mechanisms, such as long-term potentiation (LTP) and long-term depression (LTD), have been reported in ASD. Dysregulation of synaptic plasticity can impact learning and memory processes, as well as social and communication skills in individuals with ASD [T11].

o    Synaptic Pruning Abnormalities: Atypical synaptic pruning, the process by which unnecessary synapses are eliminated during development, has been observed in ASD. Disruptions in synaptic pruning can lead to aberrant connectivity patterns, altered neural networks, and impaired information processing in the brain [T12].

2.Molecular Mechanisms Underlying Abnormal Synaptic Homeostasis:

o Dysregulation of Synaptic Proteins: Mutations in genes encoding synaptic proteins, such as neuroligins, neurexins, and Shank family proteins, have been implicated in ASD. Alterations in these synaptic proteins can disrupt synaptic structure, function, and plasticity, contributing to abnormal synaptic homeostasis in individuals with ASD [T13].

oAltered Neurotransmitter Systems: Dysfunctions in neurotransmitter systems, including glutamate, GABA, serotonin, and dopamine, have been linked to synaptic abnormalities in ASD. Imbalances in neurotransmission can affect synaptic signaling, neuronal excitability, and synaptic plasticity mechanisms in individuals with ASD [T14].

oImmune-Mediated Synaptic Dysfunction: Immune dysregulation and neuroinflammation have been associated with synaptic abnormalities in ASD. Immune-mediated synaptic dysfunction can lead to synaptic pruning deficits, altered synaptic connectivity, and impaired neural communication in individuals with ASD [T15].

3.     Therapeutic Implications:

oTargeting Synaptic Function: Therapeutic strategies aimed at modulating synaptic function and plasticity, such as NMDA receptor modulators, GABAergic agents, and synaptic protein regulators, may help restore synaptic homeostasis and improve cognitive and behavioral outcomes in individuals with ASD [T16].

oNeurotransmitter Modulation: Pharmacological interventions targeting neurotransmitter systems implicated in synaptic dysfunction, such as glutamatergic and GABAergic signaling, could potentially normalize synaptic activity and neural circuit function in individuals with ASD [T17].

oImmune Modulation: Approaches aimed at modulating immune responses and reducing neuroinflammation may help mitigate immune-mediated synaptic dysfunction and restore synaptic homeostasis in individuals with ASD [T18].

In conclusion, understanding and addressing the abnormal synaptic homeostasis in Autism Spectrum Disorders is crucial for developing targeted interventions that can improve synaptic function, neural connectivity, and cognitive outcomes in individuals with ASD. By targeting molecular mechanisms, neurotransmitter imbalances, and immune-mediated synaptic dysfunction, researchers and clinicians aim to restore synaptic homeostasis and enhance the quality of life for individuals affected by ASD.

 

Categories:

Comments

Post a Comment

Popular posts from this blog

Cell Maturation (Dendrite and Axon Growth)

Dr. Rishabh Pathak
Cell maturation, encompassing dendrite and axon growth, is a crucial stage of brain development where neurons undergo structural changes to establish connections and form functional neural circuits. Here is an overview of cell maturation in the context of dendrite and axon growth: 1.      Dendrite Growth : o     Definition : Dendrites are branched extensions of a neuron that receive signals from other neurons and transmit these signals to the cell body. o     Dendritic Arborization : During maturation, neurons extend and elaborate their dendritic arbors, increasing the surface area available for synaptic connections. o     Synaptic Integration : Dendritic growth is essential for forming synapses with other neurons, allowing for the integration of incoming signals and information processing. o     Activity-Dependent Plasticity : Dendritic growth can be influenced by neural activity and sensory experiences, sh...
Post a Comment
Read more

Elements Selection Techniques

Dr. Rishabh Pathak
Element selection techniques play a crucial role in determining how individual elements or units are chosen from the population to form a sample. Here are some common element selection techniques used in sampling: 1.     Unrestricted Sampling : §   In unrestricted sampling, each element in the population has an equal chance of being selected for the sample. This approach is commonly used in simple random sampling, where every element is selected independently of other elements. 2.     Restricted Sampling : §   Restricted sampling involves imposing certain restrictions or conditions on the selection of sample elements. This can include stratification, clustering, or other criteria that guide the selection process. Restricted sampling techniques include: §   Stratified Sampling: The population is divided into homogeneous subgroups (strata), and samples are selected from each stratum to ensure representation of different characteristics. § ...
Post a Comment
Read more

Unrestricted Sampling

Dr. Rishabh Pathak
Unrestricted sampling, also known as simple random sampling, is a fundamental sampling technique where each element in the population has an equal and independent chance of being selected for the sample. In unrestricted sampling: 1.     Equal Probability of Selection : §   In simple random sampling, every element in the population has an equal probability of being chosen for the sample. This ensures that each unit is selected independently of other units, without any bias towards specific elements. 2.     Random Selection : §   The selection of sample elements is done randomly, without any systematic pattern or predetermined order. This randomness is essential to ensure that the sample is representative of the population and to minimize selection bias. 3.     Independence of Selection : §   Each selection is made independently of previous selections, meaning that the inclusion or exclusion of one element does not influence the ...
Post a Comment
Read more

Beta Activity compared to Muscles Artifacts

Dr. Rishabh Pathak
Beta activity in EEG recordings can sometimes be confused with muscle artifacts due to their overlapping frequency components. Frequency Components : o   Muscle artifacts often have frequency components of 25 Hz and greater, which can overlap with the frequency range of beta activity. o   Beta activity in EEG recordings typically falls within the beta frequency range of 13-30 Hz, with variations based on specific brain states and cognitive processes. 2.      Waveform Characteristics : o   Electromyographic (EMG) artifacts, which represent muscle activity, have distinct waveform characteristics that can help differentiate them from beta activity. o   EMG artifacts may exhibit a sharper contour with less rhythmicity, especially when the high-frequency filter is set at 70 Hz or higher, compared to the smoother contour and rhythmicity of beta activity. 3.      High-Frequency Filter Settings : o   Adjusting the high-frequency f...
Post a Comment
Read more

Amphiarthrodial or Cartilaginous Joints

Dr. Rishabh Pathak
Amphiarthrodial joints, also known as cartilaginous joints, are joints where the adjacent bones are connected by cartilage. These joints allow for limited movement and provide both stability and flexibility to the skeletal system. Here is an overview of amphiarthrodial or cartilaginous joints: Amphiarthrodial or Cartilaginous Joints: 1.     Structure : o     Cartilage : §   Amphiarthrodial joints are characterized by the presence of cartilage between the articulating surfaces of the bones. §   The cartilage can be hyaline cartilage or fibrocartilage, depending on the specific joint and its function. o     Lack of Joint Cavity : §   Similar to fibrous joints, cartilaginous joints do not have a synovial cavity, and the bones are held together by the cartilaginous tissue. 2.     Types : o     Synchondroses : §   Synchondroses are cartilaginous joints where the connecting material is hyaline carti...
Post a Comment
Read more