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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for pop song

Framework generates pop song melodies and piano accompaniment.

problem Creating high-quality pop songs with automated systems.
method Unified strategy using three models: harmony alternation, melody generation, and melody integration.
result Generated melodies rated significantly higher than those from LSTM, and accompaniment comparable to Band in a Box.

A model for hit song prediction can be used in the pop music industry to identify emerging trends and potential artists or songs before they are marketed to the public. While most previous work formulates hit song prediction as a regression or classification problem, we present in this paper a convolutional neural netw…

2017-10-30abs ↗pdf ↗

Transformer improves pop piano composition by incorporating beat-based structure.

problem Generating expressive pop piano compositions with coherent rhythmic structure.
method Improved data representation for Transformers, incorporating beat-bar-phrase structure.
result Composes pop piano music with better rhythmic structure than existing models.

Predicts which songs will be Billboard hits using Spotify data.

problem Predicting which songs will become chart-topping hits.
method Used a dataset of 1.8 million hit and non-hit songs, extracted audio features, and tested four models (random forest achieved 88% accuracy).
result Random forest model achieved 88% accuracy in predicting Billboard song success.

We conjecture that the Joyce-Song wall-crossing formula for Donaldson-Thomas invariants arises naturally from an asymptotic expansion in the field theoretic work of Gaiotto, Moore and Neitzke. This would also give a new perspective on how the formulae of Joyce-Song and Kontsevich-Soibelman are related. We check the con…

2011-12-09abs ↗pdf ↗

We finish the proof of the conjecture of F. Bogomolov and F. Pop: Let F1F_{1} and F2F_{2} be fields finitely-generated and of transcendence degree 2\geq 2 over k1k_{1} and k2k_{2}, respectively, where k1k_{1} is either Qˉ\bar{\mathbb{Q}} or Fˉp\bar{\mathbb{F}}_{p}, and k2k_{2} is algebraically closed. We denote by $G_{…

2012-11-19abs ↗pdf ↗

The study uses historical revenue data to forecast music catalog cashflows and multipliers.

problem Valuation of music catalogs based on historical revenue data.
method Risk-neutral approach using discounted cashflows formula.
result Ask prices are close to multipliers justified by median song cashflows, while best bids are near multipliers justified by bottom decile cashflows.

We develop the notion of Brakke flow with free-boundary in a barrier surface. Unlike the classical free-boundary mean curvature flow, the free-boundary Brakke flow must "pop" upon tangential contact with the barrier. We prove a compactness theorem for free-boundary Brakke flows, define a Gaussian monotonicity formula v…

2016-02-11abs ↗pdf ↗

Minimal surfaces with negative curvature found in large spheres.

problem Existence of minimal surfaces with negative curvature in large dimensional spheres.
method Applied Song's strategy to closed Riemann surfaces with large automorphism groups, resulting in almost hyperbolic minimal surfaces.
result Existence of closed minimal surfaces with negative induced curvature in any sphere of large dimension.

Rating prediction is an important application, and a popular research topic in collaborative filtering. However, both the validity of learning algorithms, and the validity of standard testing procedures rest on the assumption that missing ratings are missing at random (MAR). In this paper we present the results of a us…

2012-06-20abs ↗pdf ↗

Evidence Networks simplify Bayesian model comparison for complex models.

problem Bayesian model comparison challenges with intractable likelihoods or priors.
method Loss functions and neural networks for fast, amortized estimation of Bayes factors.
result Evidence Networks provide accurate and scalable Bayes factor estimation.

In this paper, we give a criterion for the properness of the K-energy in a general Kahler class of a compact Kahler manifold by using Song-Weinkove's result. As applications, we give some Kahler classes on CP2#3CP2\mathbb{C}\mathbb{P}^2\#3\overline {\mathbb{C}\mathbb{P}^2} and $\mathbb{C}\mathbb{P}^2\#8\overline {\mathbb{C}\…

2013-11-05abs ↗pdf ↗

The paper proves infinitely many free boundary minimal hypersurfaces in compact manifolds.

problem Existence of free boundary minimal hypersurfaces in compact Riemannian manifolds.
method Adaptations of A. Song's work and Marques-Neves' resolution to Yau's conjecture, combined with Li-Zhou's regularity theorem.
result Proves the existence of infinitely many almost properly embedded free boundary minimal hypersurfaces in compact manifolds.

The abstract proves there are infinitely many minimal surfaces in 3-7 dimensions.

problem Existence of minimal surfaces in low dimensions.
method Proof using a combination of geometric and topological techniques.
result Infinitely many closed embedded minimal surfaces exist in 3-7 dimensions.

Automated discovery of diverse self-organized patterns in complex systems.

problem Automated identification of interesting spatially localized patterns in self-organizing systems.
method Intrinsically motivated machine learning algorithms (POP-IMGEPs) combined with deep auto-encoders and CPPN primitives.
result Efficiency and effectiveness of the proposed method in discovering diverse patterns compared to baselines.

The paper solves a 5-manifold foliation problem using a Sasaki-Ricci flow.

problem Solving foliation singularities on Sasakian 5-manifolds.
method Applying the Sasaki-Ricci flow to resolve cyclic quotient foliation singularities.
result Proves a Sasaki analogue of the analytic minimal model program.

Which song will Smith listen to next? Which restaurant will Alice go to tomorrow? Which product will John click next? These applications have in common the prediction of user trajectories that are in a constant state of flux over a hidden network (e.g. website links, geographic location). What users are doing now may b…

2015-11-03abs ↗pdf ↗

Bayesian predictive inference analyzes a dataset to make predictions about new observations. When a model does not match the data, predictive accuracy suffers. We develop population empirical Bayes (POP-EB), a hierarchical framework that explicitly models the empirical population distribution as part of Bayesian analys…

2014-11-02abs ↗pdf ↗

We give examples of smooth surfaces with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kahler classes that do not admit any constant scalar curvature Kahler metrics. We also compare this to the work of Song-Weinkove on the J-flow.

2005-06-22abs ↗pdf ↗

Researchers prove a Penrose inequality for spacetime with specific conditions.

problem Establishing mass lower bounds for spacetime with specific asymptotic conditions.
method Combining harmonic level set approach, Jang equation, and stability techniques.
result Proof of Penrose inequality with universal constant and minimal area requirement.

We generalize the maximal time existence of Kähler-Ricci flow in Tian-Zhang and Song-Tian to conical case. Furthermore, if the twisted canonical bundle KM+(1β)[D]K_{M}+(1-β)[D] is big or big and nef, we can expect more on the limit behaviors of such conical Kähler-Ricci flow. Moreover, the results still hold for simple normal …

2014-11-26abs ↗pdf ↗

Recurrent tasks such as pricing, calibration and risk assessment need to be executed accurately and in real-time. Simultaneously we observe an increase in model sophistication on the one hand and growing demands on the quality of risk management on the other. To address the resulting computational challenges, it is nat…

2015-05-18abs ↗pdf ↗

We prove that, on a minimal elliptic Kähler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \cite{LT} starting from any initial Kähler metric converges in Gromov-Hausdorff topology to the metric completion of the generalized Kähler-Einstein metric on its canonical model constru…

2016-10-25abs ↗pdf ↗

Let X=M×EX = M \times E where MM is an mm-dimensional Kähler manifold with negative first Chern class and EE is an nn-dimensional complex torus. We obtain CC^\infty convergence of the normalized Kähler-Ricci flow on XX to a Kähler-Einstein metric on MM. This strengthens a convergence result of Song-Weinkove and con…

2012-03-16abs ↗pdf ↗

Model predicts odor pleasantness using CNN, outperforming manual methods.

problem Predicting odor pleasantness for industry applications.
method Used a convolutional neural network to replace manual feature extraction.
result Shows 90% correlation with human ratings and 99.9% accuracy in categorizing odors.

A crossing in a knot is nugatory if changing the crossing does not change the knot type. Using an invariant of certain types of closed 3-braid diagrams, we show that if a closed 3-braid contains a nugatory crossing then its braid index is one or two. This proves a special case of a conjecture on nugatory crossings due …

2010-01-10abs ↗pdf ↗

The paper analyzes skewness and kurtosis measures for skew-elliptical distributions.

problem Examining skewness and kurtosis measures for skew-elliptical distributions.
method Deriving exact expressions for skewness and kurtosis measures for skew-elliptical distributions, constructing test statistics, and comparing measures through simulations and real data analysis.
result Exact expressions and test statistics for skewness and kurtosis measures for various skew-elliptical distributions.