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Integrative approaches for microRNA target prediction: combining sequence information and the paired mRNA and miRNA expression profiles
target prediction expression profile integrative analysis
2016/1/20
Gene regulation is a key factor in gaining a full understanding of molecular biology. microRNA (miRNA), a novel class of non-coding RNA, has recently been found to be one crucial class of post-transac...
Optimal Estimation of Deterioration from Diagnostic Image Sequence
Damage interior-point methods optimal estimation regularization
2015/7/9
Estimation of mechanical structure damage can greatly benefit from the knowledge that the damage accumulates irreversibly over time. This paper formulates a problem of estimation of a pixel-wise monot...
Statistical estimation of quadratic Rényi entropy for a stationary m-dependent sequence
Entropy estimation quadratic R′enyi entropy stationarym-dependent sequence inter-point distances U-statistics
2013/4/27
The R\'enyi entropy is a generalization of the Shannon entropy and is widely used in mathematical statistics and applied sciences for quantifying the uncertainty in a probability distribution. We cons...
A Sequence of Relaxations Constraining Hidden Variable Models
Sequence Relaxations Constraining Hidden Variable Models
2011/7/6
Many widely studied graphical models with latent variables lead to nontrivial constraints on the distribution of the observed variables. Inspired by the Bell inequalities in quantum mechanics, we refe...
A Monte Carlo Algorithm for Universally Optimal Bayesian Sequence Prediction and Planning
recurrent neural network Turing machine AIXI reinforcement learning planning sequence prediction Universal prior
2010/3/9
The aim of this work is to address the question of whether we can in principle
design rational decision-making agents or artificial intelligences embedded
in computable physics such that their decis...
On Weight Matrix and Free Energy Models for Sequence Motif Detection
asymptotic efficiency discriminant analysis protein-DNA interaction predictive error transcription factor binding site
2010/3/9
The problem of motif detection can be formulated as the construction
of a discriminant function to separate sequences of a specific
pattern from background. In computational biology, motif detection...
Topology of the convergence in probability on a linear span of a sequence of independent random variables
Topology of the convergence a linear span independent random variables
2009/9/23
Topology of the convergence in probability on a linear span of a sequence of independent random variables。
Asymptotic multivariate normality for the subseries values of a general statistic form a stationary sequence - with applications to nonparametric confidence intervals
Asymptotic multivariate the subseries values of a general statistic a stationary sequence
2009/9/23
Asymptotic multivariate normality for the subseries values of a general statistic form a stationary sequence - with applications to nonparametric confidence intervals。
Compressing Parameters in Bayesian High-order Models with Application to Logistic Sequence Models
compressing parameters high-ordermodels Markov chain Monte Carlo logistic models interaction
2009/9/22
Bayesian classication and regression with high-order interactions is
largely infeasible because Markov chain Monte Carlo (MCMC) would need to be
applied with a great many parameters, whose number in...
On the approximation of a random variable by a conditioning of a given sequence
Condtional expectation almost sure convergence stochastics onvergence
2009/9/21
Let (a,$ Pj,I IN a non-atomic probability spa- If(Xw)
is a sequenm 5f r.y.'s satisry'ying X, -+ Q as. (respeclitrely, in probability)
a s n - , ~ and EX:-+ca, EX;-=+w as n-roo, th@n for any tv. Y
t...
Limiting distributions and almost sure limit theorems for the normalized maxima of complete and incomplete samples from Gaussian sequence
complete and incomplete samples limiting distribution maximum stationary Gaussian sequence
2009/9/16
Let ${X_k, kgeqslant 1}$ be a stationary Gaussian sequence with partial maximum $M_n=max{X_{k},1leqslant kleqslant n}$ and sample mean $overline{X}_n=sum_{k=1}^{n}X_{k}/n$. Suppose that some of the ra...
Deviation from mean in sequence comparison with a periodic sequence
Longest common subsequence variance bound Chvatal-Sankoff conjecture
2009/6/12
Deviation from mean in sequence comparison with a periodic sequence.
Joint Distributions Associated with Compound Patterns in a Sequence of Markov Dependent Multistate Trials and Estimation Problems
Chen-Stein approximations Markov chain maximum likelihood estimate multistate trials non-overlap counting overlap counting parameter estimation patterns probability generating function runs
2009/3/5
Let Λi, 1 ≤ i ≤ l be simple patterns, i.e., finite sequences of outcomes from a set Γ = {b1, b2, ..., bm} and let Λ be a compound pattern (a set ofl distinct simple patterns). In this paper, we study ...