Results 41 to 50 of about 439,058 (245)

The expected number of inversions after n adjacent transpositions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
doaj   +1 more source

ON ASYMPTOTICALLY STATISTICAL EQUIVALENT SEQUENCES

open access: yesDemonstratio Mathematica, 2003
Summary: This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent and statistically limit. Two nonnegative sequences \([x]\) and \([y]\) are said to be asymptotically statistical equivalents of multiple \(L\) provided that for every ...
openaire   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

open access: yesAdvanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice   +2 more
wiley   +1 more source

Asymptotic equivalence for nonparametric diffusion and Euler scheme experiments [PDF]

open access: yes, 2014
Prépublication MAP5International audienceThe main goal of the asymptotic equivalence theory of Le Cam (1986) is to approximate general statistical models by simple ones.
Larédo, Catherine   +1 more
core   +1 more source

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

open access: yesAdvanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare   +5 more
wiley   +1 more source

Borel asymptotic dimension and hyperfinite equivalence relations [PDF]

open access: yes, 2022
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is hyperfinite.
Conley, Clinton   +4 more
core   +1 more source

Distinct Microstructural Characteristic Lengths Defining Notch Fatigue Crack Initiation and Propagation, and Defect Tolerance in Advanced Steels

open access: yesAdvanced Engineering Materials, EarlyView.
Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
wiley   +1 more source

On the Sum of Reciprocal of Polynomial Applied to Higher Order Recurrences

open access: yesMathematics, 2019
Recently a lot of papers have been devoted to partial infinite reciprocal sums of a higher-order linear recursive sequence. In this paper, we continue this program by finding a sequence which is asymptotically equivalent to partial infinite sums ...
Pavel Trojovský
doaj   +1 more source

Asymptotic statistical equivalence for scalar ergodic diffusions [PDF]

open access: yes, 2004
For scalar diffusion models with unknown drift function asymptotic equivalence in the sense of Le Cam's deficiency between statistical experiments is considered for long-time asymptotics.
Reiß, Markus   +3 more
core   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

open access: yesAdvanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone   +11 more
wiley   +1 more source

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