2,212 research outputs found
Fourier Neural Solver for large sparse linear algebraic systems
Large sparse linear algebraic systems can be found in a variety of scientific
and engineering fields, and many scientists strive to solve them in an
efficient and robust manner. In this paper, we propose an interpretable neural
solver, the Fourier Neural Solver (FNS), to address them. FNS is based on deep
learning and Fast Fourier transform. Because the error between the iterative
solution and the ground truth involves a wide range of frequency modes, FNS
combines a stationary iterative method and frequency space correction to
eliminate different components of the error. Local Fourier analysis reveals
that the FNS can pick up on the error components in frequency space that are
challenging to eliminate with stationary methods. Numerical experiments on the
anisotropy diffusion equation, convection-diffusion equation, and Helmholtz
equation show that FNS is more efficient and more robust than the
state-of-the-art neural solver.Comment: 15 pages, 10 figure
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Sound Patterns in Mandarin Recycling Repair
The objective of the present research is to investigate the ways in which Mandarin interlocutors utilize prosodic resources as part of the means to achieve interactional actions and sequential-organization in natural conversation. By approaches of interactional prosody and conversational phonetics toward the analysis of sound realization of Mandarin repair in natural conversation, this study provides a preliminary exploration on how the combination of detailed prosodic features forms various sound patterns in reflecting the interactional aspect and sequential organization of Mandarin conversation.
The current study examines the particular example of recycling repair, defined as “a repeat of part of a conversational turn,” among all methods used in accomplishing Mandarin same-turn self-repair. The data corpus consists of 260 cases of recycling repair culled from a collection of both video- and audio-taped naturally occurring Mandarin conversation. For each recycling, acoustic measurements, including duration, pitch, silence, cut-off and lengthening were carried out by using Praat. Additional judgments would be made based on the analyst’s impressionistic interpretation of these acoustic cues. After taking measurements, the results were compared and the sound patterns that emerged from recyclings of the same sound manifestation were identified.
By a qualitative case-study methodology, this thesis reports 6 sound patterns and 3 sub-patterns based on 112 cases of Mandarin recyclings selected. The findings from the current research highlight the interaction-specific, sequence-specific, and function-specific examples of recyclings in relation to the use of the 6 main prosodic patterns. 3 sub-patterns that share some similarity with 2 of the 6 sound patterns in terms of interactional function were further identified. The result from the current exploratory work on the correlation between sound patterns in Mandarin recyclings and interaction contributes significantly to an interdisciplinary study that focuses on broadening the interactional linguistic theory by paying close attention to the sound patterns in natural conversation
Formation and transportation of sand-heap in an inclined and vertically vibrated container
We report the experimental findings of formation and motion of heap in
granular materials in an inclined and vertically vibrated container. We show
experimentally how the transport velocity of heap up container is related to
the driving acceleration as well as the driving frequency of exciter. An
analogous experiment was performed with a heap-shaped Plexiglas block. We
propose that cohesion force resulted from pressure gradient in ambient gas
plays a crucial role in enhancing and maintaining a heap, and ratchet effect
causes the movement of the heap. An equation which governs the transport
velocity of the heap is presented.Comment: 9 pages, 5 figures, submitted to PR
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