123,494 research outputs found
Homogeneous and Scalable Gene Expression Regulatory Networks with Random Layouts of Switching Parameters
We consider a model of large regulatory gene expression networks where the
thresholds activating the sigmoidal interactions between genes and the signs of
these interactions are shuffled randomly. Such an approach allows for a
qualitative understanding of network dynamics in a lack of empirical data
concerning the large genomes of living organisms. Local dynamics of network
nodes exhibits the multistationarity and oscillations and depends crucially
upon the global topology of a "maximal" graph (comprising of all possible
interactions between genes in the network). The long time behavior observed in
the network defined on the homogeneous "maximal" graphs is featured by the
fraction of positive interactions () allowed between genes.
There exists a critical value such that if , the
oscillations persist in the system, otherwise, when it tends to
a fixed point (which position in the phase space is determined by the initial
conditions and the certain layout of switching parameters). In networks defined
on the inhomogeneous directed graphs depleted in cycles, no oscillations arise
in the system even if the negative interactions in between genes present
therein in abundance (). For such networks, the bidirectional edges
(if occur) influence on the dynamics essentially. In particular, if a number of
edges in the "maximal" graph is bidirectional, oscillations can arise and
persist in the system at any low rate of negative interactions between genes
(). Local dynamics observed in the inhomogeneous scalable regulatory
networks is less sensitive to the choice of initial conditions. The scale free
networks demonstrate their high error tolerance.Comment: LaTeX, 30 pages, 20 picture
SketchyGAN: Towards Diverse and Realistic Sketch to Image Synthesis
Synthesizing realistic images from human drawn sketches is a challenging
problem in computer graphics and vision. Existing approaches either need exact
edge maps, or rely on retrieval of existing photographs. In this work, we
propose a novel Generative Adversarial Network (GAN) approach that synthesizes
plausible images from 50 categories including motorcycles, horses and couches.
We demonstrate a data augmentation technique for sketches which is fully
automatic, and we show that the augmented data is helpful to our task. We
introduce a new network building block suitable for both the generator and
discriminator which improves the information flow by injecting the input image
at multiple scales. Compared to state-of-the-art image translation methods, our
approach generates more realistic images and achieves significantly higher
Inception Scores.Comment: Accepted to CVPR 201
FaceShop: Deep Sketch-based Face Image Editing
We present a novel system for sketch-based face image editing, enabling users
to edit images intuitively by sketching a few strokes on a region of interest.
Our interface features tools to express a desired image manipulation by
providing both geometry and color constraints as user-drawn strokes. As an
alternative to the direct user input, our proposed system naturally supports a
copy-paste mode, which allows users to edit a given image region by using parts
of another exemplar image without the need of hand-drawn sketching at all. The
proposed interface runs in real-time and facilitates an interactive and
iterative workflow to quickly express the intended edits. Our system is based
on a novel sketch domain and a convolutional neural network trained end-to-end
to automatically learn to render image regions corresponding to the input
strokes. To achieve high quality and semantically consistent results we train
our neural network on two simultaneous tasks, namely image completion and image
translation. To the best of our knowledge, we are the first to combine these
two tasks in a unified framework for interactive image editing. Our results
show that the proposed sketch domain, network architecture, and training
procedure generalize well to real user input and enable high quality synthesis
results without additional post-processing.Comment: 13 pages, 20 figure
Synthesis of linear quantum stochastic systems via quantum feedback networks
Recent theoretical and experimental investigations of coherent feedback
control, the feedback control of a quantum system with another quantum system,
has raised the important problem of how to synthesize a class of quantum
systems, called the class of linear quantum stochastic systems, from basic
quantum optical components and devices in a systematic way. The synthesis
theory sought in this case can be naturally viewed as a quantum analogue of
linear electrical network synthesis theory and as such has potential for
applications beyond the realization of coherent feedback controllers. In
earlier work, Nurdin, James and Doherty have established that an arbitrary
linear quantum stochastic system can be realized as a cascade connection of
simpler one degree of freedom quantum harmonic oscillators, together with a
direct interaction Hamiltonian which is bilinear in the canonical operators of
the oscillators. However, from an experimental perspective and based on current
methods and technologies, direct interaction Hamiltonians are challenging to
implement for systems with more than just a few degrees of freedom. In order to
facilitate more tractable physical realizations of these systems, this paper
develops a new synthesis algorithm for linear quantum stochastic systems that
relies solely on field-mediated interactions, including in implementation of
the direct interaction Hamiltonian. Explicit synthesis examples are provided to
illustrate the realization of two degrees of freedom linear quantum stochastic
systems using the new algorithm.Comment: 21 pages, 6 figure
Synthesis of Stochastic Flow Networks
A stochastic flow network is a directed graph with incoming edges (inputs)
and outgoing edges (outputs), tokens enter through the input edges, travel
stochastically in the network, and can exit the network through the output
edges. Each node in the network is a splitter, namely, a token can enter a node
through an incoming edge and exit on one of the output edges according to a
predefined probability distribution. Stochastic flow networks can be easily
implemented by DNA-based chemical reactions, with promising applications in
molecular computing and stochastic computing. In this paper, we address a
fundamental synthesis question: Given a finite set of possible splitters and an
arbitrary rational probability distribution, design a stochastic flow network,
such that every token that enters the input edge will exit the outputs with the
prescribed probability distribution.
The problem of probability transformation dates back to von Neumann's 1951
work and was followed, among others, by Knuth and Yao in 1976. Most existing
works have been focusing on the "simulation" of target distributions. In this
paper, we design optimal-sized stochastic flow networks for "synthesizing"
target distributions. It shows that when each splitter has two outgoing edges
and is unbiased, an arbitrary rational probability \frac{a}{b} with a\leq b\leq
2^n can be realized by a stochastic flow network of size n that is optimal.
Compared to the other stochastic systems, feedback (cycles in networks)
strongly improves the expressibility of stochastic flow networks.Comment: 2 columns, 15 page
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