405 research outputs found
Nonlinear supratransmission in multicomponent systems
A method is proposed to solve the challenging problem of determining the
supratransmission threshold (onset of instability of harmonic boundary driving
inside a band gap) in multicomponent nonintegrable nonlinear systems. It is
successfully applied to the degenerate three-wave resonant interaction in a
birefringent quadratic medium where the process generates spatial gap solitons.
No analytic expression is known for this model showing the broad applicability
of the method to nonlinear systems.Comment: 4 pages, 3 figure
Dimensional stability in truncated moment problems
Abstract An approach to truncated moment problems is developed, via the Riesz functional and an assumed dimensional stability of its associated Hilbert spaces. Although equivalent to a concept of atness introduced by R. Curto and L. Fialkow, the dimensional stability discussed in this paper has a dierent geometric aspect and leads to statements parallel to those of Curto and Fialkow, as well as to some newer ones, obtained by simpler arguments. A stability equation, giving a local characterization of the dimensional stability, is also presented
Nanoscale Architectures for Smart Bio-Interfaces: Advances and Challenges
Volcanology & seismolog
Incorporating External Knowledge through Pre-training for Natural Language to Code Generation
Open-domain code generation aims to generate code in a general-purpose
programming language (such as Python) from natural language (NL) intents.
Motivated by the intuition that developers usually retrieve resources on the
web when writing code, we explore the effectiveness of incorporating two
varieties of external knowledge into NL-to-code generation: automatically mined
NL-code pairs from the online programming QA forum StackOverflow and
programming language API documentation. Our evaluations show that combining the
two sources with data augmentation and retrieval-based data re-sampling
improves the current state-of-the-art by up to 2.2% absolute BLEU score on the
code generation testbed CoNaLa. The code and resources are available at
https://github.com/neulab/external-knowledge-codegen.Comment: Accepted by ACL 202
Are N=1 and N=2 supersymmetric quantum mechanics equivalent?
After recalling different formulations of the definition of supersymmetric
quantum mechanics given in the literature, we discuss the relationships between
them in order to provide an answer to the question raised in the title.Comment: 15 page
Multilinear Wavelets: A Statistical Shape Space for Human Faces
We present a statistical model for D human faces in varying expression,
which decomposes the surface of the face using a wavelet transform, and learns
many localized, decorrelated multilinear models on the resulting coefficients.
Using this model we are able to reconstruct faces from noisy and occluded D
face scans, and facial motion sequences. Accurate reconstruction of face shape
is important for applications such as tele-presence and gaming. The localized
and multi-scale nature of our model allows for recovery of fine-scale detail
while retaining robustness to severe noise and occlusion, and is
computationally efficient and scalable. We validate these properties
experimentally on challenging data in the form of static scans and motion
sequences. We show that in comparison to a global multilinear model, our model
better preserves fine detail and is computationally faster, while in comparison
to a localized PCA model, our model better handles variation in expression, is
faster, and allows us to fix identity parameters for a given subject.Comment: 10 pages, 7 figures; accepted to ECCV 201
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