1,287 research outputs found
TopologyNet: Topology based deep convolutional neural networks for biomolecular property predictions
Although deep learning approaches have had tremendous success in image, video
and audio processing, computer vision, and speech recognition, their
applications to three-dimensional (3D) biomolecular structural data sets have
been hindered by the entangled geometric complexity and biological complexity.
We introduce topology, i.e., element specific persistent homology (ESPH), to
untangle geometric complexity and biological complexity. ESPH represents 3D
complex geometry by one-dimensional (1D) topological invariants and retains
crucial biological information via a multichannel image representation. It is
able to reveal hidden structure-function relationships in biomolecules. We
further integrate ESPH and convolutional neural networks to construct a
multichannel topological neural network (TopologyNet) for the predictions of
protein-ligand binding affinities and protein stability changes upon mutation.
To overcome the limitations to deep learning arising from small and noisy
training sets, we present a multitask topological convolutional neural network
(MT-TCNN). We demonstrate that the present TopologyNet architectures outperform
other state-of-the-art methods in the predictions of protein-ligand binding
affinities, globular protein mutation impacts, and membrane protein mutation
impacts.Comment: 20 pages, 8 figures, 5 table
Baryon Number Non-Conservation and the Topology of Gauge Fields
An introduction to the subject of baryon number non-conservation in the
electroweak theory at high temperatures or energies is followed by a summary of
our discovery of an infinite surface of sphaleron-like configurations which
play a key role in baryon-number non-conserving transitions in a hot
electroweak plasma.Comment: Talk given by Ola Tornkvist, to appear in the proceedings of the
meeting of the American Physical Society, Division of Particles and Fields
(DPF 96) in Minneapolis, Minnesota, August 10-15, 1996. Plain latex, 6 page
Limits on Electroweak Instanton-Induced Processes with Multiple Boson Production
Recently, the CMS collaboration has reported their search for electroweak
instanton-like processes with anomalous violation assuming multi-fermion
but zero-boson final states. On the other hand, many theoretical studies
suggest that anomalous processes may have an observably large production
rate only if their final state contains a large number of electroweak gauge
bosons. In this paper, we compare collider signatures of zero- and multi-boson
events of anomalous violation at the LHC and derive an upper limit on the
cross-section for the multi-boson process by recasting the CMS analysis.Comment: 14 pages, 6 figures; JHEP version with typographic errors fixe
Scattering with Baryon Number Violation -- The Case of Higgs Particle Production --
\noindent A formalism based on path-integral expression of time-evolution
operator during tunneling at a finite energy proposed by the authors is applied
to gauge-Higgs system to produce Higgs particles with .
Instead of starting from instanton tunneling at the zero energy, a classical
bounce solution giving sphaleron (instanton) action at high (low) energies is
used as the tunneling configuration. Fourier transform of the bounce
configuration in coherent state expression at the entrance and exit of the
tunneling plays an important role. Numerical results at various energies for
are given. Though the cross section with
results from a severe cancellation of several large quantities in the leading
order as occured in the instanton calculus, it seems unlikely that the cross
section grows as largely as to reach unitarity bound at energies . It is pointed out that the actual value of the
gauge coupling constant may be too large to take the weak coupling limit.}Comment: modified PHYZZX(included), 4 Figures (not included), SAGA-HE-46 :
KYUSHU-HET-
Semiclassical Study of Baryon and Lepton Number Violation in High-Energy Electroweak Collisions
We make use of a semiclassical method for calculating the suppression
exponent for topology changing transitions in high-energy electroweak
collisions. In the Standard Model these processes are accompanied by violation
of baryon and lepton number. By using a suitable computational technique we
obtain results for s-wave scattering in a large region of initial data. Our
results show that baryon and lepton number violation remains exponentially
suppressed up to very high energies of at least 30 sphaleron masses (250 TeV).
We also conclude that the known analytic approaches inferred from low energy
expansion provide reasonably good approximations up to the sphaleron energy (8
TeV) only.Comment: 23 pages, 18 figures. Phys.Rev.D journal version (two references
added
Chern-Simons number diffusion in (1+1)-dimensional Higgs theory
We study the Chern-Simons number diffusion rate in the (1+1)-dimensional
latticeAbelian Higgs model at temperatures much higher than, as well as
comparable to, the sphaleron energy. It is found that in the high-temperature
limit the rate is likely to grow as power 2/3 of the temperature. In the
intermediate-temperature regime, our numerical simulations show that very weak
temperature dependence of the rate, found in previous work, persists at smaller
lattice spacings. We discuss possibilities of relating the observed behavior of
the rate to static finite-temperature properties of the model.Comment: 9 pages, LATeX + 4 figures included as postscript files, to be
encapsulated using epsf. Text + figures uuencoded. Also available as a
compressed postscript file by anonymous ftp from maggia.ethz.ch (login ftp,
pw ftp; then: cd pub, binary, get ahm.ps.Z). IPS Research Report No. 94-0
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