5 papers
Dimension Rigidity and Projective Geometry of Trace-Product Switchings of the Gold Cube
Oleksandr Kuznetsov
We completely classify a natural scalar trace-product switching of the Gold almost perfect nonlinear function in every even dimension. Nontrivial switchings occur on…
Quadratic APN Functions in Dimension 8 via Gröbner Basis Search in a Self-Equivalence Subspace
Oleksandr Kuznetsov
We describe a computational search for quadratic APN (Almost Perfect Nonlinear) functions over within a structured algebraic subspace defined by a self-equivalen…
LUT-Compiled Kolmogorov-Arnold Networks for Lightweight DoS Detection on IoT Edge Devices
Oleksandr Kuznetsov
Denial-of-Service (DoS) attacks pose a critical threat to Internet of Things (IoT) ecosystems, yet deploying effective intrusion detection on resource-constrained edge devices rema…
LUT-KAN: Segment-wise LUT Quantization for Fast KAN Inference
Oleksandr Kuznetsov
Kolmogorov--Arnold Networks (KAN) replace scalar weights by learnable univariate functions, often implemented with B-splines. This design can be accurate and interpretable, but it…
Efficient Denial of Service Attack Detection in IoT using Kolmogorov-Arnold Networks
Oleksandr Kuznetsov
The proliferation of Internet of Things (IoT) devices has created a pressing need for efficient security solutions, particularly against Denial of Service (DoS) attacks. While exis…