247 research outputs found
SRB Measures for A Class of Partially Hyperbolic Attractors in Hilbert spaces
In this paper, we study the existence of SRB measures and their properties
for infinite dimensional dynamical systems in a Hilbert space. We show several
results including (i) if the system has a partially hyperbolic attractor with
nontrivial finite dimensional unstable directions, then it has at least one SRB
measure; (ii) if the attractor is uniformly hyperbolic and the system is
topological mixing and the splitting is H\"older continuous, then there exists
a unique SRB measure which is mixing; (iii) if the attractor is uniformly
hyperbolic and the system is non-wondering and and the splitting is H\"older
continuous, then there exists at most finitely many SRB measures; (iv) for a
given hyperbolic measure, there exist at most countably many ergodic components
whose basin contains an observable set
Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces
In this paper, we study the existence of SRB measures for infinite
dimensional dynamical systems in a Banach space. We show that if the system has
a partially hyperbolic attractor with nontrivial finite dimensional unstable
directions, then it has an SRB measure.Comment: arXiv admin note: text overlap with arXiv:1508.0330
Recommended from our members
Nanowire Photoelectrochemistry.
Recent applications of photoelectrochemistry at the semiconductor/liquid interface provide a renewable route of mimicking natural photosynthesis and yielding chemicals from sunlight, water, and air. Nanowires, defined as one-dimensional nanostructures, exhibit multiple unique features for photoelectrochemical applications and promise better performance as compared to their bulk counterparts. This article reviews the use of semiconductor nanowires in photoelectrochemistry. After introducing fundamental concepts essential to understanding nanowires and photoelectrochemistry, the review considers answers to the following questions: (1) How can we interface semiconductor nanowires with other building blocks for enhanced photoelectrochemical responses? (2) How are nanowires utilized for photoelectrochemical half reactions? (3) What are the techniques that allow us to obtain fundamental insights of photoelectrochemistry at single-nanowire level? (4) What are the design strategies for an integrated nanosystem that mimics a closed cycle in artificial photosynthesis? This framework should help readers evaluate the salient features of nanowires for photoelectrochemical applications, promoting the sustainable development of solar-powered chemical plants that will benefit our society in the long run
Robust Dense Mapping for Large-Scale Dynamic Environments
We present a stereo-based dense mapping algorithm for large-scale dynamic
urban environments. In contrast to other existing methods, we simultaneously
reconstruct the static background, the moving objects, and the potentially
moving but currently stationary objects separately, which is desirable for
high-level mobile robotic tasks such as path planning in crowded environments.
We use both instance-aware semantic segmentation and sparse scene flow to
classify objects as either background, moving, or potentially moving, thereby
ensuring that the system is able to model objects with the potential to
transition from static to dynamic, such as parked cars. Given camera poses
estimated from visual odometry, both the background and the (potentially)
moving objects are reconstructed separately by fusing the depth maps computed
from the stereo input. In addition to visual odometry, sparse scene flow is
also used to estimate the 3D motions of the detected moving objects, in order
to reconstruct them accurately. A map pruning technique is further developed to
improve reconstruction accuracy and reduce memory consumption, leading to
increased scalability. We evaluate our system thoroughly on the well-known
KITTI dataset. Our system is capable of running on a PC at approximately 2.5Hz,
with the primary bottleneck being the instance-aware semantic segmentation,
which is a limitation we hope to address in future work. The source code is
available from the project website (http://andreibarsan.github.io/dynslam).Comment: Presented at IEEE International Conference on Robotics and Automation
(ICRA), 201
Efficient 2D-3D Matching for Multi-Camera Visual Localization
Visual localization, i.e., determining the position and orientation of a
vehicle with respect to a map, is a key problem in autonomous driving. We
present a multicamera visual inertial localization algorithm for large scale
environments. To efficiently and effectively match features against a pre-built
global 3D map, we propose a prioritized feature matching scheme for
multi-camera systems. In contrast to existing works, designed for monocular
cameras, we (1) tailor the prioritization function to the multi-camera setup
and (2) run feature matching and pose estimation in parallel. This
significantly accelerates the matching and pose estimation stages and allows us
to dynamically adapt the matching efforts based on the surrounding environment.
In addition, we show how pose priors can be integrated into the localization
system to increase efficiency and robustness. Finally, we extend our algorithm
by fusing the absolute pose estimates with motion estimates from a multi-camera
visual inertial odometry pipeline (VIO). This results in a system that provides
reliable and drift-less pose estimation. Extensive experiments show that our
localization runs fast and robust under varying conditions, and that our
extended algorithm enables reliable real-time pose estimation.Comment: 7 pages, 5 figure
Vector-Quantized Prompt Learning for Paraphrase Generation
Deep generative modeling of natural languages has achieved many successes,
such as producing fluent sentences and translating from one language into
another. However, the development of generative modeling techniques for
paraphrase generation still lags behind largely due to the challenges in
addressing the complex conflicts between expression diversity and semantic
preservation. This paper proposes to generate diverse and high-quality
paraphrases by exploiting the pre-trained models with instance-dependent
prompts. To learn generalizable prompts, we assume that the number of abstract
transforming patterns of paraphrase generation (governed by prompts) is finite
and usually not large. Therefore, we present vector-quantized prompts as the
cues to control the generation of pre-trained models. Extensive experiments
demonstrate that the proposed method achieves new state-of-art results on three
benchmark datasets, including Quora, Wikianswers, and MSCOCO. We will release
all the code upon acceptance.Comment: EMNLP Findings, 202
Influence mechanism between information management technologies and green innovation: the role of sustainable firms practices in China
Despite the proposition of sustainable development goals by the
United Nations, the progress shown by the organizations is not
satisfactory. It also raised the attention of the policymakers to
overcome those challenges by identifying potential solutions.
Hence, the current study aims to assess the role of the information
and knowledge management process in attaining green
innovation in sustainable practices. For this purpose, the data is
collected from the 395 organizations operating in China that are
ISO 14001 certified. The application of PLS-SEM shows that information
and knowledge management significantly and positively
enhance all three sustainable practices, which eventually play an
encouraging role in green innovation. Additionally, all three types
of sustainable practices also reported mediating the relationships
between the information and knowledge management process
and green innovation. Based on the findings, organizations are
recommended to integrate and align sustainable practices, information
management, and green innovation with the mission,
vision, and routine activities and objectives
ET3D: Efficient Text-to-3D Generation via Multi-View Distillation
Recent breakthroughs in text-to-image generation has shown encouraging
results via large generative models. Due to the scarcity of 3D assets, it is
hardly to transfer the success of text-to-image generation to that of
text-to-3D generation. Existing text-to-3D generation methods usually adopt the
paradigm of DreamFusion, which conducts per-asset optimization by distilling a
pretrained text-to-image diffusion model. The generation speed usually ranges
from several minutes to tens of minutes per 3D asset, which degrades the user
experience and also imposes a burden to the service providers due to the high
computational budget.
In this work, we present an efficient text-to-3D generation method, which
requires only around 8 to generate a 3D asset given the text prompt on a
consumer graphic card. The main insight is that we exploit the images generated
by a large pre-trained text-to-image diffusion model, to supervise the training
of a text conditioned 3D generative adversarial network. Once the network is
trained, we are able to efficiently generate a 3D asset via a single forward
pass. Our method requires no 3D training data and provides an alternative
approach for efficient text-to-3D generation by distilling pre-trained image
diffusion models
Physical Biology of the Materials-Microorganism Interface.
Future solar-to-chemical production will rely upon a deep understanding of the material-microorganism interface. Hybrid technologies, which combine inorganic semiconductor light harvesters with biological catalysis to transform light, air, and water into chemicals, already demonstrate a wide product scope and energy efficiencies surpassing that of natural photosynthesis. But optimization to economic competitiveness and fundamental curiosity beg for answers to two basic questions: (1) how do materials transfer energy and charge to microorganisms, and (2) how do we design for bio- and chemocompatibility between these seemingly unnatural partners? This Perspective highlights the state-of-the-art and outlines future research paths to inform the cadre of spectroscopists, electrochemists, bioinorganic chemists, material scientists, and biologists who will ultimately solve these mysteries
- …