3 citations · 3 across the 9 of their papers we have counts for
11 papers
Lehmer-Lambert Distribution
Masoud Ataei, Vladimir V. Vinogradov
The Lehmer transform of a positive signal is the ratio of its power sums at consecutive orders, read as a function of the order, and it is a strictly increasing analytic curve from…
Lehmer Transform
Masoud Ataei
The Lehmer transform encodes a positive dataset as a single analytic curve, the ratio of its power sums at consecutive orders read as a function of the order. As the order sweeps t…
Derangetropy Operators
Masoud Ataei, Sepideh Forouzi
A derangetropy operator reweighs a probability density by a fixed profile of its own cumulative distribution function, acting through ranks alone. We prove that these operators are…
Generalized Derangetropy Functionals for Modeling Cyclical Information Flow
Masoud Ataei, Xiaogang Wang
This paper introduces a framework for modeling cyclical and feedback-driven information flow through a generalized family of entropy-modulated transformations called derangetropy f…
Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks
Masoud Ataei, Edrin Hasaj, Jacob Gipp +1
This paper presents a unified mixed-integer programming framework for training sparse and interpretable neural networks. We develop exact formulations for both fully connected and…
Efficient and Interpretable Neural Networks Using Complex Lehmer Transform
Masoud Ataei, Xiaogang Wang
We propose an efficient and interpretable neural network with a novel activation function called the weighted Lehmer transform. This new activation function enables adaptive featur…
Derangetropy in Probability Distributions and Information Dynamics
Masoud Ataei, Xiaogang Wang
We introduce derangetropy, a novel functional measure designed to characterize the dynamics of information within probability distributions. Unlike scalar measures such as Shannon…
Theory and Applications of Financial Chaos Index
Masoud Ataei, Shengyuan Chen, Zijiang Yang +1
We develop a new stock market index that captures the chaos existing in the market by measuring the mutual changes of asset prices. This new index relies on a tensor-based embeddin…
A Geometrical Branch-and-Price (GEOM-BP) Algorithm for Big Bin Packing Problems
Masoud Ataei, Shengyuan Chen
Bin packing problem examines the minimum number of identical bins needed to pack a set of items of various weights. This problem arises in various areas of the artificial intellige…
Lehmer Transform and its Theoretical Properties
Masoud Ataei, Shengyuan Chen, Xiaogang Wang
We propose a new class of transforms that we call {\it Lehmer Transform} which is motivated by the {\it Lehmer mean function}. The proposed {\it Lehmer transform} decomposes a func…
Description of Galois unipotent extensions
Masoud Ataei, Jan Minac, Nguyen Duy Tan
Given an arbitrary field , we describe all Galois extensions whose Galois groups are isomorphic to the group of upper triangular unipotent 4-by-4 matrices with entries in…