Results 1 to 10 of about 11,188 (189)
Finite free convolutions of polynomials [PDF]
Probability Theory and Related Fields, 2022 AbstractWe study three convolutions of polynomials in the context of free probability theory. We prove that these convolutions can be written as the expected characteristic polynomials of sums and products of unitarily invariant random matrices. The symmetric additive and multiplicative convolutions were introduced by Walsh and Szegö in different ...
Daniel A Spielman +2 more
exaly +8 more sources
Rank one HCIZ at high temperature: interpolating between classical and free convolutions
SciPost Physics, 2022 We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where $\frac{N \beta}{2} \to c $, called the high temperature regime and show that it can be used to construct a promising one-parameter interpolation, with parameter $c ...
Pierre Mergny, Marc Potters
doaj +4 more sources
Free Generalized Gamma Convolutions [PDF]
Electronic Communications in Probability, 2008 ما يسمى بيوكسيشن بيركوفيسي باتا يضع مجموعة من القوانين الكلاسيكية القابلة للقسمة بلا حدود لمجموعة من القوانين الحرة القابلة للقسمة بلا حدود. الغرض من هذا العمل هو دراسة القوانين الحرة القابلة للقسمة بلا حدود المقابلة لالتفافات غاما المعممة الكلاسيكية (GGC).
Noriyoshi Sakuma
exaly +4 more sources
ASSOCIATIVE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2005 We define two families of deformations of probability measures depending on the second free cumulants and the corresponding new associative convolutions arising from the conditionally free convolution. These deformations do not commute with dilation of measures, which means that the limit theorems cannot be obtained as a direct application of the ...
Krystek, Anna Dorota +1 more
exaly +2 more sources
MLCANet: Multi-Level Composite Attention-Guided Network for Non-Homogeneous Image Dehazing in Adverse Weather Conditions [PDF]
SensorsImage dehazing is a challenging ill-posed problem in low-level computer vision tasks, requiring the restoration of high-quality, haze-free images from complex and foggy conditions.
Yongsheng Qiu
doaj +2 more sources
DGS-YOLO: A Detection Network for Rapid Pig Face Recognition [PDF]
AnimalsThis study addresses the practical demand for facial recognition of pigs in the food safety and insurance industries, tackling the challenge of low recognition accuracy caused by complex farming environments, occlusions, and similar textures. To this end,
Hongli Chao +9 more
doaj +2 more sources
Stability of Cauchy–Stieltjes Kernel Families by Free and Boolean Convolutions Product
MathematicsLet F(νj)={Qmjνj,mj∈(m−νj,m+νj)}, j=1,2, be two Cauchy–Stieltjes Kernel (CSK) families induced by non-degenerate compactly supported probability measures ν1 and ν2. Introduce the set of measures F=F(ν1)⊞F(ν2)={Qm1ν1⊞Qm2ν2,m1∈(m−ν1,m+ν1)andm2∈(m−ν2,m+ν2)}.
Ayed. R. A. Alanzi +2 more
doaj +3 more sources
An Intelligent Ship Detection Algorithm Based on Visual Sensor Signal Processing for AIoT-Enabled Maritime Surveillance Automation [PDF]
SensorsOriented object detection constitutes a fundamental yet challenging task in Artificial Intelligence of Things (AIoT)-enabled maritime surveillance, where real-time processing of dense visual streams is imperative.
Liang Zhang +3 more
doaj +2 more sources
Multi-channel free space optical convolutions [PDF]
EPJ Web of Conferences, 2023 Convolutional layers are a critical feature of modern neural networks and require significant com-putational resources. In response, optical accelerators have been developed as a low-energy, high-bandwidth approach for performing large-scale convolutions.
Song Alexander +2 more
doaj +1 more source
The Dirichlet divisor problem over square-free integers and unitary convolutions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We obtain an asymptotic formula for the sum ~D₂ of the divisors of all square-free integers less than or equal to x, with error term O(x^{1/2 + ε}). This improves the error term O(x^{3/4 + ε}) presented in [7] obtained via analytical methods.
André Pierro de Camargo
doaj +1 more source