43 research outputs found
Harmonizing Output Imbalance for semantic segmentation on extremely-imbalanced input data
Semantic segmentation is a high level computer vision task that assigns a
label for each pixel of an image. It is challenging to deal with
extremely-imbalanced data in which the ratio of target pixels to background
pixels is lower than 1:1000. Such severe input imbalance leads to output
imbalance for poor model training. This paper considers three issues for
extremely-imbalanced data: inspired by the region-based Dice loss, an implicit
measure for the output imbalance is proposed, and an adaptive algorithm is
designed for guiding the output imbalance hyperparameter selection; then it is
generalized to distribution-based loss for dealing with output imbalance; and
finally a compound loss with our adaptive hyperparameter selection algorithm
can keep the consistency of training and inference for harmonizing the output
imbalance. With four popular deep architectures on our private dataset from
three different input imbalance scales and three public datasets, extensive
experiments demonstrate the competitive/promising performance of the proposed
method.Comment: 18 pages, 13 figures, 2 appendixe
The Method of Subsuper Solutions for Weighted p(r)-Laplacian Equation Boundary Value Problems
This paper investigates the existence of solutions for weighted p(r)-Laplacian ordinary boundary value problems. Our method is based on Leray-Schauder degree. As an application, we give the existence of weak solutions for p(x)-Laplacian partial differential equations
The Method of Subsuper Solutions for Weighted <inline-formula> <graphic file="1029-242X-2008-621621-i1.gif"/></inline-formula>-Laplacian Equation Boundary Value Problems
Abstract This paper investigates the existence of solutions for weighted -Laplacian ordinary boundary value problems. Our method is based on Leray-Schauder degree. As an application, we give the existence of weak solutions for -Laplacian partial differential equations.</p
Existence of Solutions for a Class of Weighted <inline-formula> <graphic file="1029-242X-2008-791762-i1.gif"/></inline-formula>-Laplacian System Multipoint Boundary Value Problems
<p>Abstract</p> <p>This paper investigates the existence of solutions for weighted <inline-formula> <graphic file="1029-242X-2008-791762-i2.gif"/></inline-formula>-Laplacian system multipoint boundary value problems. When the nonlinearity term <inline-formula> <graphic file="1029-242X-2008-791762-i3.gif"/></inline-formula> satisfies sub-<inline-formula> <graphic file="1029-242X-2008-791762-i4.gif"/></inline-formula><inline-formula> <graphic file="1029-242X-2008-791762-i5.gif"/></inline-formula> growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree.</p
Existence of Solutions for a Class of Weighted p t -Laplacian System Multipoint Boundary Value Problems
This paper investigates the existence of solutions for weighted p t -Laplacian system multipoint boundary value problems. When the nonlinearity term f t, ·, · satisfies sub-p − −1 growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree
Existence of Solutions for a Class of Weighted -Laplacian System Multipoint Boundary Value Problems
This paper investigates the existence of solutions for weighted p(t)-Laplacian system multipoint boundary value problems. When the nonlinearity term f(t,⋅,⋅) satisfies sub-p−−1 growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree
Beijing : industrial agglomeration, policy promotion and innovative development
In 2007, based on the steady progress in development in creative industries in 2006, Beijing, as a city, has shown further development in creative industries overall with more constructive policies in place, healthy growth in creative industry clusters and general supportive environment towards creative industries development in the city
Preparation, characterization, and photocatalytic performance of polyvinylidene fluoride membrane modified with TiO2-C hybrid aerogels
TiO2-C hybrid aerogels containing submicrometer anatase and carbon
nanoparticles were prepared with TiCl4 and resorcinol-furfural. A modified
polyvinylidene fluoride (PVDF) ultrafiltration membrane was prepared through
phase inversion after dispersing the TiO2-C hybrid aerogel into a PVDF
solution. The surface features, structure, and hydrophilicity of the membrane
were characterized by scanning electron microscopy, X-ray diffraction,
Fourier transform infrared spectroscopy, contact angle measurement, and pure
water flux. The mechanical strength of this membrane was also determined. The
photocatalytic performance of the modified membrane was investigated using
reactive brilliant red (X-3B) as a representative contaminant.
Characterization results indicated that the TiO2-C hybrid aerogels were
distributed evenly in the PVDF membrane, showing enhanced hydrophilicity,
mechanical strength, and pure water flux. Furthermore, the photodegradation
rate of X-3B through the modified membrane was significantly high owing to
the photocatalytic action of the TiO2-C hybrid aerogels distributed in the
modified membrane