Neural networks trained on datasets such as ImageNet have led to major advances in visual object classification. One obstacle that prevents networks from reasoning more deeply about complex scenes ...and situations, and from integrating visual knowledge with natural language, like humans do, is their lack of common sense knowledge about the physical world. Videos, unlike still images, contain a wealth of detailed information about the physical world. However, most labelled video datasets represent high-level concepts rather than detailed physical aspects about actions and scenes. In this work, we describe our ongoing collection of the "something-something" database of video prediction tasks whose solutions require a common sense understanding of the depicted situation. The database currently contains more than 100,000 videos across 174 classes, which are defined as caption-templates. We also describe the challenges in crowd-sourcing this data at scale.
A graph drawn in the plane with
n
vertices is
k
-fan-crossing free
for
k
⩾
2
if there are no
k
+
1
edges
g
,
e
1
,
…
,
e
k
, such that
e
1
,
e
2
,
…
,
e
k
have a common endpoint and
g
crosses all
e
...i
. We prove a tight bound of
4
n
-
8
on the maximum number of edges of a
2
-fan-crossing free graph, and a tight
4
n
-
9
bound for a straight-edge drawing. For
k
⩾
3
, we prove an upper bound of
3
(
k
-
1
)
(
n
-
2
)
edges. We also discuss generalizations to monotone graph properties.
Shadows of a Closed Curve Dobbins, Michael Gene; Kim, Heuna; Montejano, Luis ...
International mathematics research notices,
04/2020, Letnik:
2020, Številka:
7
Journal Article
Recenzirano
Abstract
A shadow of a geometric object A in a given direction v is the orthogonal projection of A on the hyperplane orthogonal to v. We show that any topological embedding of a circle into Euclidean ...d-space can have at most two shadows that are simple paths in linearly independent directions. The proof is topological and uses an analog of basic properties of degree of maps on a circle to relations on a circle. This extends a previous result that dealt with the case d = 3.
The purpose of this study was to research the influence of acculturation level, English language proficiency, mental health literacy, and the role of the Korean church on utilization of mental health ...services by Koreans and Korean Americans. Existing literature on this topic is scarce and thus is limited in its ability to generalize its results. This study’s significance stems from the principle that research outcomes can serve as supportive data to reduce barriers to utility of mental health services and thereby enhance the mental health of Koreans and Korean Americans. The present study utilized a composite survey that comprised of five varying scales. The survey was distributed and collected from churches in eight states in the United States. The data for this research was organized and analyzed using multiple regression via SPSS and alpha of 0.05 for statistical significance. The data analysis showed that two out of four factors, acculturation level and the role of Korean church, influenced Koreans’ and Korean Americans’ attitudes toward seeking mental health services. As a result, it is imperative to increase individuals’ acculturation level to promote utilization of mental health services and reduce their acculturative distress from immigration. It is also notable that Korean churches play an indispensable role in raising mental health awareness and encouraging service use to their congregation members.
Congruence between two n-point sets in 4 dimension can be checked in O(n log n) time. On the way to establishing this result, we revisit several parts of 4-dimensional geometry, such as angles and ...distances between planes, Hopf fibrations, and Coxeter groups.
Shadows of a Closed Curve Dobbins, Michael Gene; Kim, Heuna; Montejano, Luis ...
arXiv (Cornell University),
06/2017
Paper, Journal Article
Odprti dostop
A shadow of a geometric object \(A\) in a given direction \(v\) is the orthogonal projection of \(A\) on the hyperplane orthogonal to \(v\). We show that any topological embedding of a circle into ...Euclidean \(d\)-space can have at most two shadows that are simple paths in linearly independent directions. The proof is topological and uses an analog of basic properties of degree of maps on a circle to relations on a circle. This extends a previous result which dealt with the case \(d=3\).
A graph drawn in the plane with n vertices is k-fan-crossing free for k > 1 if there are no k+1 edges \(g,e_1,...e_k\), such that \(e_1,e_2,...e_k\) have a common endpoint and \(g\) crosses all ...\(e_i\). We prove a tight bound of 4n-8 on the maximum number of edges of a 2-fan-crossing free graph, and a tight 4n-9 bound for a straight-edge drawing. For k > 2, we prove an upper bound of 3(k-1)(n-2) edges. We also discuss generalizations to monotone graph properties.
Neural networks trained on datasets such as ImageNet have led to major advances in visual object classification. One obstacle that prevents networks from reasoning more deeply about complex scenes ...and situations, and from integrating visual knowledge with natural language, like humans do, is their lack of common sense knowledge about the physical world. Videos, unlike still images, contain a wealth of detailed information about the physical world. However, most labelled video datasets represent high-level concepts rather than detailed physical aspects about actions and scenes. In this work, we describe our ongoing collection of the "something-something" database of video prediction tasks whose solutions require a common sense understanding of the depicted situation. The database currently contains more than 100,000 videos across 174 classes, which are defined as caption-templates. We also describe the challenges in crowd-sourcing this data at scale.
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