97,084 research outputs found
Node Embedding over Temporal Graphs
In this work, we present a method for node embedding in temporal graphs. We
propose an algorithm that learns the evolution of a temporal graph's nodes and
edges over time and incorporates this dynamics in a temporal node embedding
framework for different graph prediction tasks. We present a joint loss
function that creates a temporal embedding of a node by learning to combine its
historical temporal embeddings, such that it optimizes per given task (e.g.,
link prediction). The algorithm is initialized using static node embeddings,
which are then aligned over the representations of a node at different time
points, and eventually adapted for the given task in a joint optimization. We
evaluate the effectiveness of our approach over a variety of temporal graphs
for the two fundamental tasks of temporal link prediction and multi-label node
classification, comparing to competitive baselines and algorithmic
alternatives. Our algorithm shows performance improvements across many of the
datasets and baselines and is found particularly effective for graphs that are
less cohesive, with a lower clustering coefficient
Testing constrained sequential dominance models of neutrinos
Constrained sequential dominance (CSD) is a natural framework for
implementing the see-saw mechanism of neutrino masses which allows the mixing
angles and phases to be accurately predicted in terms of relatively few input
parameters. We analyze a class of CSD() models where, in the flavour basis,
two right-handed neutrinos are dominantly responsible for the "atmospheric" and
"solar" neutrino masses with Yukawa couplings to proportional to and , respectively, where
is a positive integer. These coupling patterns may arise in indirect family
symmetry models based on . With two right-handed neutrinos, using a
test, we find a good agreement with data for CSD(3) and CSD(4) where
the entire PMNS mixing matrix is controlled by a single phase , which
takes simple values, leading to accurate predictions for mixing angles and the
magnitude of the oscillation phase . We carefully study the
perturbing effect of a third "decoupled" right-handed neutrino, leading to a
bound on the lightest physical neutrino mass meV for the
viable cases, corresponding to a normal neutrino mass hierarchy. We also
discuss a direct link between the oscillation phase and
leptogenesis in CSD() due to the same see-saw phase appearing in both
the neutrino mass matrix and leptogenesis.Comment: 34 pages, 15 figures. Version to be published in J.Phys G. Note the
change in title. Clarifying comments added. Previous versions: 32 pages, 15
figures. Improved discussion of chi squared analysis, new plots added. // 29
pages, 13 figures. Minor changes and discussion about the origin of the
vacuum alignments added to an Appendi
ProtNN: Fast and Accurate Nearest Neighbor Protein Function Prediction based on Graph Embedding in Structural and Topological Space
Studying the function of proteins is important for understanding the
molecular mechanisms of life. The number of publicly available protein
structures has increasingly become extremely large. Still, the determination of
the function of a protein structure remains a difficult, costly, and time
consuming task. The difficulties are often due to the essential role of spatial
and topological structures in the determination of protein functions in living
cells. In this paper, we propose ProtNN, a novel approach for protein function
prediction. Given an unannotated protein structure and a set of annotated
proteins, ProtNN finds the nearest neighbor annotated structures based on
protein-graph pairwise similarities. Given a query protein, ProtNN finds the
nearest neighbor reference proteins based on a graph representation model and a
pairwise similarity between vector embedding of both query and reference
protein-graphs in structural and topological spaces. ProtNN assigns to the
query protein the function with the highest number of votes across the set of k
nearest neighbor reference proteins, where k is a user-defined parameter.
Experimental evaluation demonstrates that ProtNN is able to accurately classify
several datasets in an extremely fast runtime compared to state-of-the-art
approaches. We further show that ProtNN is able to scale up to a whole PDB
dataset in a single-process mode with no parallelization, with a gain of
thousands order of magnitude of runtime compared to state-of-the-art
approaches
- …