Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients [PDF]
Bulletin of Mathematical Sciences, 2019 This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients.
Li Tan, Chenggui Yuan
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Probabilistic norms and statistical convergence of random variables [PDF]
Surveys in Mathematics and its Applications, 2009 The paper extends certain stochastic convergence of sequences of Rk -valued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of E-valued random variables.
Mohamad Rafi Segi Rahmat +1 more
doaj
Some theorems related to almost sure convergence of orthogonal series [PDF]
, 2000 We obtain new criterias for almost sure convergence of random sequences. We apply them to the study of almost sure convergence of orthogonal series and related sums.
Weber, Michel
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Almost sure convergence of the forward–backward–forward splitting algorithm [PDF]
, 2016 In this paper, we propose a stochastic forward–backward–forward splitting algorithm and prove its almost sure weak convergence in real separable Hilbert spaces.
Vu, Bang Cong
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Almost sure convergence of a class of stochastic algorithms [PDF]
, 1994 In this paper, we establish the almost sure convergence of Rd-valued sequences generated by a particular class of stochastic algorithms and we apply this result to a stochastic approximation type EM algorithm for the mixture ...
Biscarat, Jean Claude
core +1 more source
Almost sure convergence of randomly truncated stochastic algorithms under verifiable conditions [PDF]
, 2008 International audienceWe study the almost sure convergence of randomly truncated stochastic algorithms. We present a new convergence theorem which extends the already known results by making vanish the classical condition on the noise terms.
Jérôme Lelong, Lelong, Jérôme
core +2 more sources
On the almost sure convergence of weighted sums of random elements in D[0,1]
International Journal of Mathematics and Mathematical Sciences, 1981 Let {wn} be a sequence of positive constants and Wn=w1+…+wn where Wn→∞ and wn/Wn→∞. Let {Wn} be a sequence of independent random elements in D[0,1]. The almost sure convergence of Wn−1∑k=1nwkXk is established under certain integral conditions and growth ...
R. L. Taylor, C. A. Calhoun
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
An almost sure conditional convergence result and an application to a generalized Polya urn [PDF]
, 2009 We prove an almost sure conditional convergence result toward a Gaussian kernel and we apply it to a two-colors randomly reinforced ...
Crimaldi, I, Crimaldi, Irene
core
Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley +1 more source