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

Benign Epileptiform Transients of Sleep Compared to Interictal Epileptiform Discharges

Image
Dr. Rishabh Pathak

Benign Epileptiform Transients of Sleep (BETS) and Interictal Epileptiform Discharges (IEDs) in EEG recordings have similarities in their epileptiform morphology and occurrence over the temporal lobes, but they also have key differences that aid in their differentiation.

Morphology and Occurrence:

o  BETS and IEDs share epileptiform morphology and can occur over the temporal lobes, making them more likely to be mistaken for each other.

o BETS are sharply contoured, temporal region transients that commonly occur during light sleep, particularly in stages 1 and 2 of NREM sleep.

o  IEDs, on the other hand, are interictal epileptiform discharges that represent abnormal electrical activity in the brain and are associated with epilepsy.

2.     Frequency of Occurrence:

o BETS are more likely to occur in adults between 30 and 60 years of age, with children younger than 10 years rarely exhibiting them.

o  IEDs can occur in individuals with epilepsy and may manifest during sleep, making the distinction between BETS and IEDs challenging in some cases.

3.     Waveform Characteristics:

o BETS typically have consistent waveform characteristics with shifting asymmetry, making their identification important.

o IEDs, in contrast, often vary in waveform with inconsistent amplitudes and durations, which can help differentiate them from BETS when the transients recur.

4.    Localization and Field Distribution:

o BETS are almost always centered in the mid-temporal region, extending over the entire temporal lobe and sometimes involving the adjacent frontal lobe.

o  IEDs may have a more asymmetric field distribution across the frontal poles, helping to distinguish them from the more localized BETS.

Understanding these differences between BETS and IEDs is crucial for accurate EEG interpretation and the differentiation of benign transient patterns from pathological epileptiform activity associated with epilepsy.

 

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

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

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

Distinguishing Features of Electrode Artifacts

Dr. Rishabh Pathak
Electrode artifacts in EEG recordings can present with distinct features that differentiate them from genuine brain activity.  1.      Types of Electrode Artifacts : o Variety : Electrode artifacts encompass several types, including electrode pop, electrode contact, electrode/lead movement, perspiration artifacts, salt bridge artifacts, and movement artifacts. o Characteristics : Each type of electrode artifact exhibits specific waveform patterns and spatial distributions that aid in their identification and differentiation from true EEG signals. 2.    Electrode Pop : o Description : Electrode pop artifacts are characterized by paroxysmal, sharply contoured transients that interrupt the background EEG activity. o Localization : These artifacts typically involve only one electrode and lack a field indicating a gradual decrease in potential amplitude across the scalp. o Waveform : Electrode pop waveforms have a rapid rise and a slower fall compared to in...
Post a Comment
Read more

What is anthropometric system in biomechanics?

Dr. Rishabh Pathak
  In biomechanics, the anthropometric system refers to the measurement and analysis of the physical dimensions, proportions, and characteristics of the human body. Anthropometry plays a crucial role in understanding human movement, ergonomics, sports performance, and injury prevention by providing valuable data on body segment lengths, joint centers, muscle attachment points, and other anatomical parameters. The anthropometric system involves the following key components: 1.      Body Segment Lengths : Anthropometric measurements are used to determine the lengths of various body segments such as the arms, legs, trunk, and head. These segment lengths are essential for calculating joint angles, lever arms, and moment arms during movement analysis. 2.     Joint Centers : By identifying the locations of joint centers (e.g., hip, knee, ankle), researchers and practitioners can accurately assess joint kinematics and kinetics during activities like w...
Post a Comment
Read more