Results 61 to 70 of about 166,494,588 (247)
On the Law of the Iterated Logarithm for Martingales
The Annals of Probability, 1992 Let \(\{U_n\), \(n\geq 1\}\) be a martingale adapted to an increasing sequence of \(\sigma\)-fields \(\{\mathcal F_n\), \(n\geq 1\}\) and \(s_n^2 = \sum_{i=1}^n E(X_i^2\mid\mathcal F_{i-1})\), \(n\geq 1\). The main result establishes (with probability 1) an upper bound of \(\limsup_{n\to\infty}U_n/s_n\varphi(s_n)\) with \(\varphi(x):=(2\log\log(x^2\vee
openaire +2 more sources
Advanced Science, EarlyView.Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang +2 more
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A law of the iterated logarithm for iterated random walks, with application to random recursive trees [PDF]
, 2022 Consider a Crump-Mode-Jagers process generated by an increasing random walk whose increments have finite second moment. Let $Y_k(t)$ be the number of individuals in generation $k\in \mathbb N$ born in the time interval $[0,t]$.
Kotelnikova, Valeriya +2 more
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Advanced Science, EarlyView.Here, we present an optoelectronic synaptic memtransistor (OSMT) integrating photoresponsive IGZO with contact‐engineered HfO2, enabling electrically and optically tunable synaptic weights. The device demonstrates broad range of tunable conductance states and array‐level image processing, highlighting its potential for intelligent machine vision ...
Donghyun Kang +6 more
wiley +1 more source
Design Rules for Quantitative Control of Intragrain Planar Defects in Halide Perovskites
Advanced Science, EarlyView.Dose‐budgeted electron microscopy reveals the design rules governing intragrain planar defects in halide perovskites: {112}t ferroelastic twins proliferate with increasing tetragonality and grain size, whereas {111}c twins and stacking faults emerge as the lattice approaches cubic symmetry.
Byeongjun Gil +3 more
wiley +1 more source
Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information
Entropy, 2020 The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encoder and decoder.
Lampros Gavalakis, Ioannis Kontoyiannis
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Probabilistic Computing via Gate‐Tunable Random Telegraph Noise
Advanced Science, EarlyView.Intrinsic random telegraph noise in metal–oxide–semiconductor field‐effect transistors is harnessed to create gate‐tunable probabilistic bits. By modulating carrier‐trapping dynamics, the device produces stochastic binary outputs with a continuous bias‐to‐probability transfer.
Gyungwon Yun +8 more
wiley +1 more source
Advanced Electronic Materials, EarlyView.Passive resistive memory arrays promise efficient in‐memory computing but suffer from sneak paths and programming variability. Here, highly uniform 32 × 32 passive RRAM crossbars are programmed with multilevel precision below 3% error and 99.5% yield.
S. Ricci +6 more
wiley +1 more source
Laws of the iterated logarithm for iterated perturbed random walks
Modern Stochastics: Theory and ApplicationsLet ${({\xi _{k}},{\eta _{k}})_{k\ge 1}}$ be independent identically distributed random vectors with arbitrarily dependent positive components and ${T_{k}}:={\xi _{1}}+\cdots +{\xi _{k-1}}+{\eta _{k}}$ for $k\in \mathbb{N}$. The random sequence ${({T_{k}}
Oksana Braganets
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Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.A closed‐loop, data‐driven approach facilitates the exploration of high‐performance Si─Ge─Sn alloys as promising fast‐charging battery anodes. Autonomous electrochemical experimentation using a scanning droplet cell is combined with real‐time optimization to efficiently navigate composition space.
Alexey Sanin +7 more
wiley +1 more source