metadata
tags:
- sentence-transformers
- sentence-similarity
- feature-extraction
- generated_from_trainer
- dataset_size:9702
- loss:TripletLoss
base_model: sentence-transformers/allenai-specter
widget:
- source_sentence: >-
The class of algorithmically computable simple games (i) includes the
class of games that have finite carriers and (ii) is included in the class
of games that have finite winning coalitions. This paper characterizes
computable games, strengthens the earlier result that computable games
violate anonymity, and gives examples showing that the above inclusions
are strict. It also extends Nakamura's theorem about the nonemptyness of
the core and shows that computable games have a finite Nakamura number,
implying that the number of alternatives that the players can deal with
rationally is restricted.
sentences:
- >-
We are going to study the limiting spectral measure of fixed dimensional
Hermitian block-matrices with large dimensional Wigner blocks. We are
going also to identify the limiting spectral measure when the Hermitian
block-structure is Circulant. Using the limiting spectral measure of a
Hermitian Circulant block-matrix we will show that the spectral measure
of a Wigner matrix with $k-$weakly dependent entries need not to be the
semicircle law in the limit.
- >-
The scope of the present study is Eulerian modeling and simulation of
polydisperse liquid sprays undergoing droplet coalescence and
evaporation. The fundamental mathematical description is the Williams
spray equation governing the joint number density function f(v, u; x, t)
of droplet volume and velocity. Eulerian multi-fluid models have already
been rigorously derived from this equation in Laurent et al. (2004). The
first key feature of the paper is the application of direct quadrature
method of moments (DQMOM) introduced by Marchisio and Fox (2005) to the
Williams spray equation. Both the multi-fluid method and DQMOM yield
systems of Eulerian conservation equations with complicated interaction
terms representing coalescence. In order to validate and compare these
approaches, the chosen configuration is a self-similar 2D axisymmetrical
decelerating nozzle with sprays having various size distributions,
ranging from smooth ones up to Dirac delta functions. The second key
feature of the paper is a thorough comparison of the two approaches for
various test-cases to a reference solution obtained through a classical
stochastic Lagrangian solver. Both Eulerian models prove to describe
adequately spray coalescence and yield a very interesting alternative to
the Lagrangian solver.
- >-
Recently, the iterative approach named linear tabling has received
considerable attention because of its simplicity, ease of
implementation, and good space efficiency. Linear tabling is a framework
from which different methods can be derived based on the strategies used
in handling looping subgoals. One decision concerns when answers are
consumed and returned. This paper describes two strategies, namely, {\it
lazy} and {\it eager} strategies, and compares them both qualitatively
and quantitatively. The results indicate that, while the lazy strategy
has good locality and is well suited for finding all solutions, the
eager strategy is comparable in speed with the lazy strategy and is well
suited for programs with cuts. Linear tabling relies on depth-first
iterative deepening rather than suspension to compute fixpoints. Each
cluster of inter-dependent subgoals as represented by a top-most looping
subgoal is iteratively evaluated until no subgoal in it can produce any
new answers. Naive re-evaluation of all looping subgoals, albeit simple,
may be computationally unacceptable. In this paper, we also introduce
semi-naive optimization, an effective technique employed in bottom-up
evaluation of logic programs to avoid redundant joins of answers, into
linear tabling. We give the conditions for the technique to be safe
(i.e. sound and complete) and propose an optimization technique called
{\it early answer promotion} to enhance its effectiveness. Benchmarking
in B-Prolog demonstrates that with this optimization linear tabling
compares favorably well in speed with the state-of-the-art
implementation of SLG.
- source_sentence: >-
We survey recent progress on the Greenfield-Wallach and Katok conjectures
on globally hypoelliptic and cohomology free vector fields and derive a
proof of the conjectures in dimension three. The argument is primarily
based on recent work of F. and J. Rodriguez Hertz which allows us to
reduce the question to the case of a Reeb flow for a contact form. The
contact case is settled by invoking the Weinstein conjecture (which has
been recently announced by C. Taubes).
sentences:
- >-
We describe several views of the semantics of a simple programming
language as formal documents in the calculus of inductive constructions
that can be verified by the Coq proof system. Covered aspects are
natural semantics, denotational semantics, axiomatic semantics, and
abstract interpretation. Descriptions as recursive functions are also
provided whenever suitable, thus yielding a a verification condition
generator and a static analyser that can be run inside the theorem
prover for use in reflective proofs. Extraction of an interpreter from
the denotational semantics is also described. All different aspects are
formally proved sound with respect to the natural semantics
specification.
- >-
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from
N-dimensional hypercomplex numbers (N a power of 2, at least 4) can
represent singularities and, as N approaches infinite, fractals -- and
thereby,scale-free networks. Any integer greater than 8 and not a power
of 2 generates a meta-fractal or "Sky" when it is interpreted as the
"strut constant" (S) of an ensemble of octahedral vertex figures called
"Box-Kites" (the fundamental building blocks of ZDs). Remarkably simple
bit-manipulation rules or "recipes" provide tools for transforming one
fractal genus into others within the context of Wolfram's Class 4
complexity.
- >-
The purpose of this paper is to determine the asymptotic of the average
energy of a configuration of N zeros of system of random polynomials of
degree N as N tends to infinity and more generally the zeros of random
holomorphic sections of a line bundle L over any Riemann surface M. And
we compare our results to the well-known minimum of energies.
- source_sentence: >-
How do blogs cite and influence each other? How do such links evolve? Does
the popularity of old blog posts drop exponentially with time? These are
some of the questions that we address in this work. Our goal is to build a
model that generates realistic cascades, so that it can help us with link
prediction and outlier detection. Blogs (weblogs) have become an important
medium of information because of their timely publication, ease of use,
and wide availability. In fact, they often make headlines, by discussing
and discovering evidence about political events and facts. Often blogs
link to one another, creating a publicly available record of how
information and influence spreads through an underlying social network.
Aggregating links from several blog posts creates a directed graph which
we analyze to discover the patterns of information propagation in
blogspace, and thereby understand the underlying social network. Not only
are blogs interesting on their own merit, but our analysis also sheds
light on how rumors, viruses, and ideas propagate over social and computer
networks. Here we report some surprising findings of the blog linking and
information propagation structure, after we analyzed one of the largest
available datasets, with 45,000 blogs and ~ 2.2 million blog-postings. Our
analysis also sheds light on how rumors, viruses, and ideas propagate over
social and computer networks. We also present a simple model that mimics
the spread of information on the blogosphere, and produces information
cascades very similar to those found in real life.
sentences:
- >-
We present a suite of programs to determine the ground state of the
time-independent Gross-Pitaevskii equation, used in the simulation of
Bose-Einstein condensates. The calculation is based on the Optimal
Damping Algorithm, ensuring a fast convergence to the true ground state.
Versions are given for the one-, two-, and three-dimensional equation,
using either a spectral method, well suited for harmonic trapping
potentials, or a spatial grid.
- >-
We propose a method to perform precision measurements of the interaction
parameters in systems of N ultra-cold spin 1/2 atoms. The spectroscopy
is realized by first creating a coherent spin superposition of the two
relevant internal states of each atom and then letting the atoms evolve
under a squeezing Hamiltonian. The non-linear nature of the Hamiltonian
decreases the fundamental limit imposed by the Heisenberg uncertainty
principle to N^(-2), a factor of N smaller than the fundamental limit
achievable with non-interacting atoms. We study the effect of
decoherence and show that even with decoherence, entangled states can
outperform the signal to noise limit of non-entangled states. We present
two possible experimental implementations of the method using
Bose-Einstein spinor condensates and fermionic atoms loaded in optical
lattices and discuss their advantages and disadvantages.
- >-
Bivariate linear mixed models are useful when analyzing longitudinal
data of two associated markers. In this paper, we present a bivariate
linear mixed model including random effects or first-order
auto-regressive process and independent measurement error for both
markers. Codes and tricks to fit these models using SAS Proc MIXED are
provided. Limitations of this program are discussed and an example in
the field of HIV infection is shown. Despite some limitations, SAS Proc
MIXED is a useful tool that may be easily extendable to multivariate
response in longitudinal studies.
- source_sentence: >-
The effect of the magnetic field on the critical behavior of
Sr0:9La0:1CuO2 is explored in terms of reversible magnetization data. As
the correlation length transverse to the magnetic field Hi,applied along
the i-axis, cannot grow beyond the limiting magnetic length LHi, related
to the average distance between vortex lines, one expects a magnetic field
induced finite size effect. Invoking the scaling theory of critical
phenomena we provide clear evidence for this effect. It implies that in
type II superconductors there is a 3D to 1D crossover line Hpi(T).
Consequently, below Tc and above Hpi(T) uperconductivity is confined to
cylinders with diameter LHi(1D). Accordingly, there is no continuous phase
transition in the (H,T)-plane along the Hc2-lines as predicted by the
mean-field treatment.
sentences:
- >-
We introduce a new construction, the isotropy groupoid, to organize the
orbit data for split $\Gamma$-spaces. We show that equivariant principal
$G$-bundles over split $\Gamma$-CW complexes $X$ can be effectively
classified by means of representations of their isotropy groupoids. For
instance, if the quotient complex $A=\Gamma\backslash X$ is a graph,
with all edge stabilizers toral subgroups of $\Gamma$, we obtain a
purely combinatorial classification of bundles with structural group $G$
a compact connected Lie group. If $G$ is abelian, our approach gives
combinatorial and geometric descriptions of some results of
Lashof-May-Segal and Goresky-Kottwitz-MacPherson.
- >-
We analyze 27 house price indexes of Las Vegas from Jun. 1983 to Mar.
2005, corresponding to 27 different zip codes. These analyses confirm
the existence of a real-estate bubble, defined as a price acceleration
faster than exponential, which is found however to be confined to a
rather limited time interval in the recent past from approximately 2003
to mid-2004 and has progressively transformed into a more normal growth
rate comparable to pre-bubble levels in 2005. There has been no bubble
till 2002 except for a medium-sized surge in 1990. In addition, we have
identified a strong yearly periodicity which provides a good potential
for fine-tuned prediction from month to month. A monthly monitoring
using a model that we have developed could confirm, by testing the
intra-year structure, if indeed the market has returned to ``normal'' or
if more turbulence is expected ahead. We predict the evolution of the
indexes one year ahead, which is validated with new data up to Sep.
2006. The present analysis demonstrates the existence of very
significant variations at the local scale, in the sense that the bubble
in Las Vegas seems to have preceded the more global USA bubble and has
ended approximately two years earlier (mid 2004 for Las Vegas compared
with mid-2006 for the whole of the USA).
- >-
The use of off-resonant standing light waves to manipulate ultracold
atoms is investigated. Previous work has illustrated that optical pulses
can provide efficient beam-splitting and reflection operations for
atomic wave packets. The performance of these operations is
characterized experimentally using Bose-Einstein condensates confined in
a weak magnetic trap. Under optimum conditions, fidelities of up to 0.99
for beam splitting and 0.98 for reflection are observed, and splitting
operations of up to third order are achieved. The dependence of the
operations on light intensity and atomic velocity is measured and found
to agree well with theoretical estimates.
- source_sentence: >-
Let G be a free group in a variety of groups, but G is not absolutely
free. We prove that the group of automorphisms Aut(G) is linear iff G is a
virtually nilpotent group.
sentences:
- >-
An orthogonal array OA(q^{2n-1},q^{2n-2}, q,2) is constructed from the
action of a subset of PGL(n+1,q^2) on some non--degenerate Hermitian
varieties in PG(n,q^2). It is also shown that the rows of this
orthogonal array correspond to some blocks of an affine design, which
for q> 2 is a non--classical model of the affine space AG(2n-1,q).
- >-
We describe a new universality class for unitary invariant random matrix
ensembles. It arises in the double scaling limit of ensembles of random
$n \times n$ Hermitian matrices $Z_{n,N}^{-1} |\det M|^{2\alpha} e^{-N
\Tr V(M)} dM$ with $\alpha > -1/2$, where the factor $|\det
M|^{2\alpha}$ induces critical eigenvalue behavior near the origin.
Under the assumption that the limiting mean eigenvalue density
associated with $V$ is regular, and that the origin is a right endpoint
of its support, we compute the limiting eigenvalue correlation kernel in
the double scaling limit as $n, N \to \infty$ such that $n^{2/3}(n/N-1)
= O(1)$. We use the Deift-Zhou steepest descent method for the
Riemann-Hilbert problem for polynomials on the line orthogonal with
respect to the weight $|x|^{2\alpha} e^{-NV(x)}$. Our main attention is
on the construction of a local parametrix near the origin by means of
the $\psi$-functions associated with a distinguished solution of the
Painleve XXXIV equation. This solution is related to a particular
solution of the Painleve II equation, which however is different from
the usual Hastings-McLeod solution.
- >-
Suppose that a target function is monotonic, namely, weakly increasing,
and an original estimate of the target function is available, which is
not weakly increasing. Many common estimation methods used in statistics
produce such estimates. We show that these estimates can always be
improved with no harm using rearrangement techniques: The rearrangement
methods, univariate and multivariate, transform the original estimate to
a monotonic estimate, and the resulting estimate is closer to the true
curve in common metrics than the original estimate. We illustrate the
results with a computational example and an empirical example dealing
with age-height growth charts.
pipeline_tag: sentence-similarity
library_name: sentence-transformers
metrics:
- cosine_accuracy
model-index:
- name: SentenceTransformer based on sentence-transformers/allenai-specter
results:
- task:
type: triplet
name: Triplet
dataset:
name: triplet eval
type: triplet_eval
metrics:
- type: cosine_accuracy
value: 0.9319999814033508
name: Cosine Accuracy
- type: cosine_accuracy
value: 0.9399999976158142
name: Cosine Accuracy
SentenceTransformer based on sentence-transformers/allenai-specter
This is a sentence-transformers model finetuned from sentence-transformers/allenai-specter. It maps sentences & paragraphs to a 768-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.
Model Details
Model Description
- Model Type: Sentence Transformer
- Base model: sentence-transformers/allenai-specter
- Maximum Sequence Length: 512 tokens
- Output Dimensionality: 768 dimensions
- Similarity Function: Cosine Similarity
Model Sources
- Documentation: Sentence Transformers Documentation
- Repository: Sentence Transformers on GitHub
- Hugging Face: Sentence Transformers on Hugging Face
Full Model Architecture
SentenceTransformer(
(0): Transformer({'max_seq_length': 512, 'do_lower_case': False}) with Transformer model: BertModel
(1): Pooling({'word_embedding_dimension': 768, 'pooling_mode_cls_token': True, 'pooling_mode_mean_tokens': False, 'pooling_mode_max_tokens': False, 'pooling_mode_mean_sqrt_len_tokens': False, 'pooling_mode_weightedmean_tokens': False, 'pooling_mode_lasttoken': False, 'include_prompt': True})
)
Usage
Direct Usage (Sentence Transformers)
First install the Sentence Transformers library:
pip install -U sentence-transformers
Then you can load this model and run inference.
from sentence_transformers import SentenceTransformer
# Download from the 🤗 Hub
model = SentenceTransformer("nadrajak/allenai-specter-ft")
# Run inference
sentences = [
'Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear iff G is a virtually nilpotent group.',
'An orthogonal array OA(q^{2n-1},q^{2n-2}, q,2) is constructed from the action of a subset of PGL(n+1,q^2) on some non--degenerate Hermitian varieties in PG(n,q^2). It is also shown that the rows of this orthogonal array correspond to some blocks of an affine design, which for q> 2 is a non--classical model of the affine space AG(2n-1,q).',
'Suppose that a target function is monotonic, namely, weakly increasing, and an original estimate of the target function is available, which is not weakly increasing. Many common estimation methods used in statistics produce such estimates. We show that these estimates can always be improved with no harm using rearrangement techniques: The rearrangement methods, univariate and multivariate, transform the original estimate to a monotonic estimate, and the resulting estimate is closer to the true curve in common metrics than the original estimate. We illustrate the results with a computational example and an empirical example dealing with age-height growth charts.',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 768]
# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]
Evaluation
Metrics
Triplet
- Dataset:
triplet_eval
- Evaluated with
TripletEvaluator
Metric | Value |
---|---|
cosine_accuracy | 0.932 |
Triplet
- Dataset:
triplet_eval
- Evaluated with
TripletEvaluator
Metric | Value |
---|---|
cosine_accuracy | 0.94 |
Training Details
Training Dataset
Unnamed Dataset
- Size: 9,702 training samples
- Columns:
anchor
,positive
, andnegative
- Approximate statistics based on the first 1000 samples:
anchor positive negative type string string string details - min: 37 tokens
- mean: 175.25 tokens
- max: 512 tokens
- min: 36 tokens
- mean: 172.87 tokens
- max: 512 tokens
- min: 37 tokens
- mean: 162.78 tokens
- max: 451 tokens
- Samples:
anchor positive negative We study the notion of the scaled entropy of a filtration of $\sigma$-fields (= decreasing sequence of $\sigma$-fields) introduced by the first author ({V4}). We suggest a method for computing this entropy for the sequence of $\sigma$-fields of pasts of a Markov process determined by a random walk over the trajectories of a Bernoulli action of a commutative or nilpotent countable group (Theorems
5,6). Since the scaled entropy is a metric invariant of the filtration, it follows that the sequences of $\sigma$-fields of pasts of random walks over the trajectories of Bernoulli actions of lattices (groups ${\Bbb Z}^d$) are metrically nonisomorphic for different dimensions $d$, and for the same $d$ but different values of the entropy of the Bernoulli scheme. We give a brief survey of the metric theory of filtrations, in particular, formulate the standardness criterion and describe its connections with the scaled entropy and the notion of a tower of measures.In this paper we complete a classification of finite linear spaces $\cS$ with line size at most 12 admitting a line-transitive point-imprimitive subgroup of automorphisms. The examples are the Desarguesian projective planes of orders $4,7, 9$ and 11, two designs on 91 points with line size 6, and 467 designs on 729 points with line size 8.
We show that the combined data from solar, long-baseline and reactor neutrino experiments can exclude the generalized bicycle model of Lorentz noninvariant direction-dependent and/or direction-independent oscillations of massless neutrinos. This model has five parameters, which is more than is needed in standard oscillation phenomenology with neutrino masses. Solar data alone are sufficient to exclude the pure direction-dependent case. The combination of solar and long-baseline data rules out the pure direction-independent case. With the addition of KamLAND data, a mixture of direction-dependent and direction-independent terms in the effective Hamiltonian is also excluded.
We discuss a numerical model for black hole growth and its associated feedback processes that for the first time allows cosmological simulations of structure formation to self-consistently follow the build up of the cosmic population of galaxies and active galactic nuclei. Our model assumes that seed black holes are present at early cosmic epochs at the centres of forming halos. We then track their growth from gas accretion and mergers with other black holes in the course of cosmic time. For black holes that are active, we distinguish between two distinct modes of feedback, depending on the black hole accretion rate itself. Black holes that accrete at high rates are assumed to be in a `quasar regime', where we model their feedback by thermally coupling a small fraction of their bolometric luminosity to the surrounding gas. For black holes with low accretion rates, we conjecture that most of their feedback occurs in mechanical form, where AGN-driven bubbles are injected into a gaseous e...
Context: L'-band (3.8 micron) images of the Galactic Center show a large number of thin filaments in the mini-spiral, located west of the mini-cavity and along the inner edge of the Northern Arm. One possible mechanism that could produce such structures is the interaction of a central wind with the mini-spiral. Additionally, we identify similar features that appear to be associated with stars. Aims: We present the first proper motion measurements of the thin dust filaments observed in the central parsec around SgrA* and investigate possible mechanisms that could be responsible for the observed motions. Methods: The observations have been carried out using the NACO adaptive optics system at the ESO VLT. The images have been transformed to a common coordinate system and features of interest were extracted. Then a cross-correlation technique could be performed in order to determine the offsets between the features with respect to their position in the reference epoch. Results: We derive t...
Energy resolution, alpha/beta ratio, pulse-shape discrimination for gamma rays and alpha particles, temperature dependence of scintillation properties, and radioactive contamination were studied with CaMoO4 crystal scintillators. A high sensitivity experiment to search for neutrinoless double beta decay of 100-Mo by using CaMoO4 scintillators is discussed.
From a macroscopic point of view phase transitions as surface melting or two dimensional (2D) towards three dimensional (3D) growth mode (Stranski-Krastanov transition) can be described in terms of Gibbs excess quantity duly amended by size effects (since usual Gibbs excess quantities are only well defined for semi-infinite systems). The aim of this study is to consider such amended quantities to describe surface melting and Stranski-Krastanov transition of epitaxial layers. the so-introduced size effects allows us to predict the equilibrium thickness of the wetting layer of the Stranski-Krastanov growth mode and to describe and classify two different melting cases: the incomplete melting relayed by a first order transition and the continuous premelting relayed by continuous overheating
We tailor the shape and phase of the pump pulse spectrum in order to study the coherent lattice dynamics in tellurium. Employing the coherent control via splitting the pump pulse into a two-pulse sequence, we show that the oscillations due to A1 coherent phonons can be cancelled but not enhanced as compared to single pulse excitation. We further demonstrate that a decisive factor for the coherent phonon generation is the bandwidth of the pulse spectrum and not the steepness of the pulse envelope. We also observe that the coherent amplitude for long pump pulses decreases exponentially independent of the shape of the pulse spectrum. Finally, by varying the pulse chirp, we show that the coherent amplitude is independent of while the oscillation lifetime is dependent on the chirp sign.
From the spectral plot of the (normalized) graph Laplacian, the essential qualitative properties of a network can be simultaneously deduced. Given a class of empirical networks, reconstruction schemes for elucidating the evolutionary dynamics leading to those particular data can then be developed. This method is exemplified for protein-protein interaction networks. Traces of their evolutionary history of duplication and divergence processes are identified. In particular, we can identify typical specific features that robustly distinguish protein-protein interaction networks from other classes of networks, in spite of possible statistical fluctuations of the underlying data.
- Loss:
TripletLoss
with these parameters:{ "distance_metric": "TripletDistanceMetric.EUCLIDEAN", "triplet_margin": 5 }
Evaluation Dataset
Unnamed Dataset
- Size: 2,389 evaluation samples
- Columns:
anchor
,positive
, andnegative
- Approximate statistics based on the first 1000 samples:
anchor positive negative type string string string details - min: 39 tokens
- mean: 169.07 tokens
- max: 485 tokens
- min: 37 tokens
- mean: 168.4 tokens
- max: 512 tokens
- min: 39 tokens
- mean: 165.13 tokens
- max: 478 tokens
- Samples:
anchor positive negative We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.
We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. http://www.ams.org/mathscinet-getitem?mr=MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. math/0509612). The two dual processes are approximated by particle processes which are forward and backward processes in a graphical representation. We identify duality relations between the basic building blocks of the particle processes which lead to the two dualities mentioned above.
CLIC is a linear $e^+e^-$ ($\gamma\gamma$) collider project which uses a drive beam to accelerate the main beam. The drive beam provides RF power for each corresponding unit of the main linac through energy extracting RF structures. CLIC has a wide range of center-of-mass energy options from 150 GeV to 3 TeV. The present paper contains optimization of Free Electron Laser (FEL) using one bunch of CLIC drive beam in order to provide polarized light amplification using appropriate wiggler and luminosity spectrum of $\gamma\gamma$ collider for $E_{cm}$=0.5 TeV. Then amplified laser can be converted to a polarized high-energy $\gamma$ beam at the Conversion point (CP-prior to electron positron interaction point) in the process of Compton backscattering. At the CP a powerful laser pulse (FEL) focused to main linac electrons (positrons). Here this scheme described and it is show that CLIC drive beam parameters satisfy the requirement of FEL additionally essential undulator parameters has been...
We determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction X in addition to the usual Coulomb repulsion U at half-filling. For large enough X and positive U the model shows three phases. For large U the system is in the spin-density wave phase already known in the usual Hubbard model. As U decreases, there is first a spin transition to a spontaneously dimerized bond-ordered wave phase and then a charge transition to a novel phase in which the dominant correlations at large distances correspond to an incommensurate singlet superconductor.
Vortex-antivortex pairs are localized excitations and have been found to be spontaneously created in magnetic elements. In the case that the vortex and the antivortex have opposite polarities the pair has a nonzero topological charge, and it behaves as a rotating vortex dipole. We find theoretically, and confirm numerically, the form of the energy as a function of the angular momentum of the system and the associated rotation frequencies. We discuss the process of annihilation of the pair which changes the topological charge of the system by unity while its energy is monotonically decreasing. Such a change in the topological charge affects profoundly the dynamics in the magnetic system. We finally discuss the connection of our results with Bloch Points (BP) and the implications for BP dynamics.
We present results of simulations of a muon content in the air showers induced by very high energy cosmic rays. Muon energy distributions and muon densities at ground level are given. We discuss a prompt muon component generated by decays of charm mesons. The method combines standard Monte Carlo generators incorporated in the CORSIKA code and phenomenological estimates of the charm hadroproduction.
We discuss quantum evolution of a decaying state in relation to a recent experiment of Katz et al. Based on exact analytical and numerical solutions of a simple model, we identify a regime where qubit retains coherence over a finite time interval independently of the rates of three competing decoherence processes. In this regime, the quantum decay process can be continuously monitored via a ``weak'' measurement without affecting the qubit coherence.
We investigate the physical property of the kappa parameter and the kappa-distribution in the kappa-deformed statistics, based on Kaniadakis entropy, for a relativistic gas in an electromagnetic field. We derive two relations for the relativistic gas in the framework of kappa-deformed statistics, which describe the physical situation represented by the relativistic kappa-distribution function, provide a reasonable connection between the parameter kappa, the temperature four-gradient and the four-vector potential gradient, and thus present for the case kappa different from zero a clearly physical meaning. It is shown that such a physical situation is a meta-equilibrium state of the system, but has a new physical characteristic.
We analyze 27 house price indexes of Las Vegas from Jun. 1983 to Mar. 2005, corresponding to 27 different zip codes. These analyses confirm the existence of a real-estate bubble, defined as a price acceleration faster than exponential, which is found however to be confined to a rather limited time interval in the recent past from approximately 2003 to mid-2004 and has progressively transformed into a more normal growth rate comparable to pre-bubble levels in 2005. There has been no bubble till 2002 except for a medium-sized surge in 1990. In addition, we have identified a strong yearly periodicity which provides a good potential for fine-tuned prediction from month to month. A monthly monitoring using a model that we have developed could confirm, by testing the intra-year structure, if indeed the market has returned to ``normal'' or if more turbulence is expected ahead. We predict the evolution of the indexes one year ahead, which is validated with new data up to Sep. 2006. The present...
- Loss:
TripletLoss
with these parameters:{ "distance_metric": "TripletDistanceMetric.EUCLIDEAN", "triplet_margin": 5 }
Training Hyperparameters
Non-Default Hyperparameters
eval_strategy
: stepslearning_rate
: 2e-05warmup_ratio
: 0.1fp16
: True
All Hyperparameters
Click to expand
overwrite_output_dir
: Falsedo_predict
: Falseeval_strategy
: stepsprediction_loss_only
: Trueper_device_train_batch_size
: 8per_device_eval_batch_size
: 8per_gpu_train_batch_size
: Noneper_gpu_eval_batch_size
: Nonegradient_accumulation_steps
: 1eval_accumulation_steps
: Nonetorch_empty_cache_steps
: Nonelearning_rate
: 2e-05weight_decay
: 0.0adam_beta1
: 0.9adam_beta2
: 0.999adam_epsilon
: 1e-08max_grad_norm
: 1.0num_train_epochs
: 3max_steps
: -1lr_scheduler_type
: linearlr_scheduler_kwargs
: {}warmup_ratio
: 0.1warmup_steps
: 0log_level
: passivelog_level_replica
: warninglog_on_each_node
: Truelogging_nan_inf_filter
: Truesave_safetensors
: Truesave_on_each_node
: Falsesave_only_model
: Falserestore_callback_states_from_checkpoint
: Falseno_cuda
: Falseuse_cpu
: Falseuse_mps_device
: Falseseed
: 42data_seed
: Nonejit_mode_eval
: Falseuse_ipex
: Falsebf16
: Falsefp16
: Truefp16_opt_level
: O1half_precision_backend
: autobf16_full_eval
: Falsefp16_full_eval
: Falsetf32
: Nonelocal_rank
: 0ddp_backend
: Nonetpu_num_cores
: Nonetpu_metrics_debug
: Falsedebug
: []dataloader_drop_last
: Falsedataloader_num_workers
: 0dataloader_prefetch_factor
: Nonepast_index
: -1disable_tqdm
: Falseremove_unused_columns
: Truelabel_names
: Noneload_best_model_at_end
: Falseignore_data_skip
: Falsefsdp
: []fsdp_min_num_params
: 0fsdp_config
: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}fsdp_transformer_layer_cls_to_wrap
: Noneaccelerator_config
: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}deepspeed
: Nonelabel_smoothing_factor
: 0.0optim
: adamw_torchoptim_args
: Noneadafactor
: Falsegroup_by_length
: Falselength_column_name
: lengthddp_find_unused_parameters
: Noneddp_bucket_cap_mb
: Noneddp_broadcast_buffers
: Falsedataloader_pin_memory
: Truedataloader_persistent_workers
: Falseskip_memory_metrics
: Trueuse_legacy_prediction_loop
: Falsepush_to_hub
: Falseresume_from_checkpoint
: Nonehub_model_id
: Nonehub_strategy
: every_savehub_private_repo
: Nonehub_always_push
: Falsegradient_checkpointing
: Falsegradient_checkpointing_kwargs
: Noneinclude_inputs_for_metrics
: Falseinclude_for_metrics
: []eval_do_concat_batches
: Truefp16_backend
: autopush_to_hub_model_id
: Nonepush_to_hub_organization
: Nonemp_parameters
:auto_find_batch_size
: Falsefull_determinism
: Falsetorchdynamo
: Noneray_scope
: lastddp_timeout
: 1800torch_compile
: Falsetorch_compile_backend
: Nonetorch_compile_mode
: Noneinclude_tokens_per_second
: Falseinclude_num_input_tokens_seen
: Falseneftune_noise_alpha
: Noneoptim_target_modules
: Nonebatch_eval_metrics
: Falseeval_on_start
: Falseuse_liger_kernel
: Falseeval_use_gather_object
: Falseaverage_tokens_across_devices
: Falseprompts
: Nonebatch_sampler
: batch_samplermulti_dataset_batch_sampler
: proportional
Training Logs
Epoch | Step | Training Loss | Validation Loss | triplet_eval_cosine_accuracy |
---|---|---|---|---|
-1 | -1 | - | - | 0.8210 |
0.4122 | 500 | 1.4856 | 1.2697 | 0.8910 |
0.8244 | 1000 | 0.897 | 0.9961 | 0.9250 |
1.2366 | 1500 | 0.5647 | 1.0038 | 0.9210 |
1.6488 | 2000 | 0.3959 | 0.8957 | 0.9330 |
2.0610 | 2500 | 0.3289 | 0.8055 | 0.9220 |
2.4732 | 3000 | 0.1267 | 0.7920 | 0.9290 |
2.8854 | 3500 | 0.096 | 0.8040 | 0.9320 |
-1 | -1 | - | - | 0.9400 |
Framework Versions
- Python: 3.11.13
- Sentence Transformers: 4.1.0
- Transformers: 4.52.4
- PyTorch: 2.6.0+cu124
- Accelerate: 1.8.1
- Datasets: 2.14.4
- Tokenizers: 0.21.2
Citation
BibTeX
Sentence Transformers
@inproceedings{reimers-2019-sentence-bert,
title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",
author = "Reimers, Nils and Gurevych, Iryna",
booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",
month = "11",
year = "2019",
publisher = "Association for Computational Linguistics",
url = "https://arxiv.org/abs/1908.10084",
}
TripletLoss
@misc{hermans2017defense,
title={In Defense of the Triplet Loss for Person Re-Identification},
author={Alexander Hermans and Lucas Beyer and Bastian Leibe},
year={2017},
eprint={1703.07737},
archivePrefix={arXiv},
primaryClass={cs.CV}
}