Blog
Non-Hermitian Hopf insulators
Hopf insulators represent a unique class of topological insulators that exist exclusively in two-band systems and are inherently unstable upon the inclusion of additional bands. Meanwhile, recent studies have shown that non-Hermiticity gives rise to distinctive complex-energy gap structures, known as point...
Dynamic 3D KAN Convolution with Adaptive Grid Optimization for Hyperspectral Image Classification
Deep neural networks face several challenges in hyperspectral image classification, including high-dimensional data, sparse distribution of ground objects, and spectral redundancy, which often lead to classification overfitting and limited generalization capability. To more efficiently adapt to ground object distributions while extracting image...
Advanced posterior analyses of hidden Markov models: finite Markov chain imbedding and hybrid decoding
Two major tasks in applications of hidden Markov models are to (i) compute distributions of summary statistics of the hidden state sequence, and (ii) decode the hidden state sequence. We describe finite Markov chain imbedding (FMCI) and hybrid decoding to solve each...
Interacting Copies of Random Constraint Satisfaction Problems
We study a system of $y=2$ coupled copies of a well-known constraint satisfaction problem (random hypergraph bicoloring) to examine how the ferromagnetic coupling between the copies affects the properties of the solution space. We solve the replicated model by applying the cavity...
Simulating biochemical reactions: The Linear Noise Approximation can capture non-linear dynamics
There is a plethora of highly stochastic non-linear dynamical systems in fields such as molecular biology, chemistry, epidemiology, and ecology. Yet, none of the currently available stochastic models are both accurate and computationally efficient for long-term predictions of large systems. The Linear...
Quantum Excitation Transfer in an Artificial Photosynthetic Light-Harvesting System
We analytically derive transfer probabilities and efficiencies for an artificial light-harvesting photosynthetic system, which consists of a ring coupled to a central acceptor. For an incident photon pair, we find near-perfect single excitation transfer efficiency with negligible double excitation transfer in the...
Time-Series Analysis on Edge-AI Hardware for Healthcare Monitoring
This project addresses the need for efficient, real-time analysis of biomedical signals such as electrocardiograms (ECG) and electroencephalograms (EEG) for continuous health monitoring. Traditional methods rely on long-duration data recording followed by offline analysis, which is power-intensive and delays responses to critical...
Reaction-diffusion approximation of nonlocal interactions in high-dimensional Euclidean space
In various phenomena such as pattern formation, neural firing in the brain and cell migration, interactions that can affect distant objects globally in space can be observed. These interactions are referred to as nonlocal interactions and are often modeled using spatial convolution...
Multiple Quantum Many-Body Clustering Probed by Dynamical Decoupling
The manipulation of quantum information in large systems requires precise control of quantum systems that are out-of-equilibrium. As the size of the system increases, its fragility in response to external perturbations and intrinsic decoherence processes also increases. The degradation of the system...
Aerodynamic Control of Laminar Separation on a Wall-Bounded Airfoil at Transitional Reynolds Numbers
Experiments were conducted in a low-turbulence wind tunnel to investigate the efficacy of localised acoustic forcing upon the dynamics and stability of the flow on a cambered, wall-bounded airfoil over a range of Reynolds numbers (Re) where the flow state can switch...