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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Probabilistic HIV Recency Classification -- A Logistic Regression without Labeled Individual Level Training Data
概率 HIV新近度分类 个人水平训练数据 逻辑回归
2023/4/24
Accurate HIV incidence estimation based on individual recent infection status (recent vs long-term infection) is important for monitoring the epidemic, targeting interventions to those at greatest ris...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep image prior for inverse problems: acceleration and probabilistic treatment
反问题 深度图像 加速 概率处理
2023/5/10
Since its first proposal in 2018, deep image prior has emerged as a very powerful unsupervised deep learning technique for solving inverse problems. The approach has demonstrated very encouraging empi...
Finite frames can be viewed as mass points distributed in N-dimensional Euclidean space. As such they form a subclass of a larger and rich class of probability measures that we call probabilistic fram...
PRECONDITIONING TECHNIQUES IN FRAME THEORY AND PROBABILISTIC FRAMES
Parseval frame Scalable frame Fritz John Theorem Probabilistic frames frame potential continuous frames
2015/12/10
In this chapter we survey two topics that have recently been investigated in frame theory. First, we give an overview of the class of scalable frames.These are (finite) frames with the property that e...
Minimization of the Probabilistic p-frame Potential
Frame potential equiangular tight frames probabilistic frames
2015/12/10
We investigate the optimal configurations of n points on the unit sphere for a class of potential functions. In particular, we characterize these optimal configurations in terms of theirapproximation ...
A PROBABILISTIC INTERPRETATION OF THE MACDONALD POLYNOMIALS
MacDonald polynomial probability explained
2015/7/7
A PROBABILISTIC INTERPRETATION OF THE MACDONALD POLYNOMIALS。
A Probabilistic and RIPless Theory of Compressed Sensing
Compressed sensing `1 minimization the LASSO the Dantzig selector (weak) restricted isometries random matrices sparse regression operator Bernstein inequalities Gross’ golfing scheme
2015/6/17
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribut...
Probabilistic Auto-Associative Models and Semi-Linear PCA
Probabilistic Auto-Associative Models Semi-Linear PCA
2012/11/22
Auto-Associative models cover a large class of methods used in data analysis. In this paper, we describe the generals properties of these models when the projection component is linear and we propose ...
Rigid abelian groups and the probabilistic method
random construction abelian groups with prescribed endomorphisms probabilistic method Group Theory
2011/9/5
Abstract: The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups. Usually thes...
A probabilistic view on the general relativistic Boltzmann equation
General relativity, Boltzmann equation, probability, Markov process
2011/8/24
Abstract: A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. Th...
Physical Equivalence of Pure States and Derivation of Qubit in General Probabilistic Theories
Physical Equivalence Pure States Derivation of Qubit General Probabilistic Theories
2011/3/4
In this paper, we investigate a characterization of Quantum Mechanics by two physical principles based on general probabilistic theories.
A new measure of probabilistic entropy and its properties
measure of probabilistic entropy properties
2010/9/25
The concept of entropy in communication theory was first introduced by Shannon [13] and it was then realized that entropy is a property of any stochastic system and the concept is now used widely in d...
Algebraic and probabilistic retirement models
Future Lifetimes Average Future Lifetimes Risk Pooling
2010/9/20
This paper aims to discuss retirement from the mathematician’s viewpoint. In this world of today, are individuals going to have enough retirement savings and income to survive to a certain age or deat...
A probabilistic and RIPless theory of compressed sensing
A probabilistic and RIPless theory compressed sensing
2010/11/22
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribut...
On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
Askey-Wilson densities polynomials complex parameters
2010/11/11
We give equivalent forms of Askey-Wilson (AW) polynomials expressing them with a help of Al-Salam-Chihara polynomials. After restricting parameters of AW polynomials to complex conjugate pairs we giv...