A5100433169- Statistical Mechanics and Entropy
- Geometric Analysis and Curvature Flows
- Geometry and complex manifolds
- Game Theory and Voting Systems
- Topological and Geometric Data Analysis
- Advanced Statistical Methods and Models
- Mathematical Analysis and Transform Methods
- Economic theories and models
- Homotopy and Cohomology in Algebraic Topology
- Algebraic structures and combinatorial models
- Mathematical Inequalities and Applications
- Advanced Mathematical Theories and Applications
- Bayesian Modeling and Causal Inference
- Auction Theory and Applications
- Nonlinear Differential Equations Analysis
- Cognitive and developmental aspects of mathematical skills
- Numerical methods in inverse problems
- Geometric and Algebraic Topology
- Advanced Topics in Algebra
- Mobile Crowdsensing and Crowdsourcing
- Game Theory and Applications
- Rough Sets and Fuzzy Logic
- Image and Signal Denoising Methods
- Morphological variations and asymmetry
- Credit Risk and Financial Regulations
University of Michigan–Ann Arbor
2015-2024
Anhui Xinhua University
2024
Guangzhou Xinhua University
2024
Hebei Normal University
2024
Tianjin University of Technology
2023
Iowa State University
2021
Nanjing Audit University
2016-2020
Hong Kong Polytechnic University
2020
Michigan United
2014-2020
Université de Montréal
2020
Yahoo Answers (YA) is a large and diverse question-answer forum, acting not only as medium for sharing technical knowledge, but place where one can seek advice, gather opinions, satisfy one's curiosity about countless number of things. In this paper, we to understand YA's knowledge activity. We analyze the forum categories cluster them according content characteristics patterns interaction among users. While interactions in some resemble expertise forums, others incorporate discussion,...
People search for people with suitable expertise all of the time in their social networks - to answer questions or provide help. Recently, efforts have been made augment this searching. However, relatively little is known about characteristics various algorithms that might be useful. In paper, we examine three families searching strategies believe may useful location. We do so through a simulation, based on Enron email data set. (We would unable suitably experiment real organization, thus...
Help-seeking communities have been playing an increasingly critical role in the way people seek and share information. However, traditional help-seeking mechanisms of these online some limitations. In this paper, we describe expertise-finding mechanism that attempts to alleviate limitations caused by not knowing users' expertise levels. As a result using social network data from community, can automatically infer level. This allows, for example, question list be personalized user's level as...
Divergence functions are the non-symmetric “distance” on manifold, Μθ, of parametric probability density over a measure space, (Χ,μ). Classical information geometry prescribes, Μθ: (i) Riemannian metric given by Fisher information; (ii) pair dual connections (giving rise to family α-connections) that preserve under parallel transport their joint actions; and (iii) divergence ( α-divergence) defined Μθ x which induce connections. Here, we construct an extension this differential geometric...
Abstract Theory‐of‐mind (ToM) involves modeling an individual’s mental states to plan one’s action and anticipate others’ actions through recursive reasoning that may be myopic (with limited recursion) or predictive full recursion). ToM recursion was examined using a series of two‐player, sequential‐move matrix games with maximum three steps. Participants were assigned the role Player I, controlling initial last step, II, second step. Appropriate for role, participants either anticipated...
A paper was published (Harsha and Subrahamanian Moosath, 2014) in which the authors claimed to have discovered an extension Amari's \(\alpha\)-geometry through a general monotone embedding function. It will be pointed out here that this so-called \((F, G)\)-geometry (which includes \(F\)-geometry as special case) is identical Zhang's (2004) \(\alpha\)-geometry, where name of pair functions \(\rho\) \(\tau\) were used instead \(F\) \(H\) Harsha Moosath (2014). Their weighting function \(G\)...
Tsallis and Rényi entropies, which are monotone transformations of each other, deformations the celebrated Shannon entropy. Maximization these deformed under suitable constraints, leads to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula> -exponential family has applications in non-extensive statistical physics, information theory statistics. In previous information-geometric...
The divergence function in information geometry, and the discrete Lagrangian geometric mechanics each induce a differential structure on product manifold Q × . We aim to investigate relationship between these two objects, fundamental role that duality, form of Legendre transforms, plays both fields. By establishing an analogy approaches, we will show how fruitful cross-fertilization techniques may arise from switching formulations based cotangent bundle T * (as mechanics) tangent geometry)....
Let $X$ and $Y$ be domains of $\mathbb{R}^n$ equipped with respective probability measures $\mu$ $ \nu$. We consider the problem optimal transport from to $\nu$ respect a cost function $c: X \times Y \to \mathbb{R}$. To ensure that solution this is smooth, it necessary make several assumptions about structure function. In particular, Ma, Trudinger, Wang established regularity estimates when are strongly \textit{relatively $c$-convex} each other has non-negative \textit{MTW tensor}. For...
We first give a solution to key problem concerning the completeness of space weighted pseudo almost‐periodic functions and then establish new composition theorem with respect these functions. Some important remarks concrete examples are also presented. Moreover, we prove an existence for mild semilinear evolution equation: x ′ ( t ) = A + f , )), ∈ ℝ where is infinitesimal generator exponentially stable C 0 ‐semigroup. An application given illustrate abstract theorem.
Compare to searching online information directly, asking friends or finding referral a human expert is preferred in many information-gathering tasks. It's easier judge the quality of from personal as well obtain that not publicly published [1]. Instant Messaging (IM) has potentials effectively support such social network based seeking [3], which are fully explored other than providing better communications. For instance, user usually does know what his friends' know. If none IM buddy list...