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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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4080119159 · Jun 202019922001200920172026
48 results for harmony alternation

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.

Fibonacci Ensembles use Fibonacci weights to improve ensemble learning, inspired by natural growth patterns.

problem Improving ensemble learning methods to enhance model performance and interpretability.
method Introduces Fibonacci weights and a recursive ensemble dynamic to reduce variance and enrich representational depth.
result Fibonacci weighting can match or improve upon uniform averaging in ensemble learning experiments.

We give a topological interpretation of the space of L2L^2 harmonis forms of some QALE manifolds introduced by D. Joyce. We introduce a analytical criterium which make possible the used of Mayer-Vietoris sequence.

2005-01-19abs ↗pdf ↗

The paper investigates how neural network width and depth impact training speed through gradient confusion.

problem Gradient confusion in neural networks during training.
method Formal analysis using gradient confusion, theoretical and experimental results.
result Increasing network width reduces gradient confusion, leading to faster training.

Novel method HAO mitigates Graph Injection Attack by preserving homophily.

problem Graph Injection Attack's high flexibility can harm graph homophily.
method Introduce homophily unnoticeability constraint and Harmonious Adversarial Objective (HAO).
result GIA with HAO breaks homophily-based defenses and outperforms previous attacks.

Associated to a Thurston map f:S2S2f: S^2 \to S^2 with postcritical set PP are several different invariants obtained via pullback: a relation on the set of free homotopy classes of curves in S2PS^2- P, a linear operator on the free R\R-module generated by these homotopy classes of curves, a virtual endomorphism on the pur…

2012-12-19abs ↗pdf ↗

We present effective methods to compute equivariant harmonic maps from the universal cover of a surface into a nonpositively curved space. By discretizing the theory appropriately, we show that the energy functional is strongly convex and derive convergence of the discrete heat flow to the energy minimizer, with explic…

2018-10-29abs ↗pdf ↗

Autonomous Vehicles(AV) are one of the brightest promises of the future which would help cut down fatalities and improve travel time while working in harmony. Autonomous vehicles will face with challenging situations and experiences not seen before. These experiences should be converted to knowledge and help the vehicl…

2018-08-16abs ↗pdf ↗

The paper studies convergence of discrete harmonic maps to smooth ones.

problem Discretization of harmonic maps between Riemannian manifolds.
method Introducing triangulations with vertex and edge weights, and studying convergence conditions.
result Suitable conditions on weighted triangulations ensure convergence of discrete harmonic maps to smooth ones.

Discovering and exploring the underlying structure of multi-instrumental music using learning-based approaches remains an open problem. We extend the recent MusicVAE model to represent multitrack polyphonic measures as vectors in a latent space. Our approach enables several useful operations such as generating plausibl…

2018-06-01abs ↗pdf ↗

Modeling ToM in multi-agent games using adaptive feedback control.

problem Understanding how agents predict and model other agents' mental states in complex interactions.
method Embodied and situated agent models based on distributed adaptive control theory.
result Probabilistic learning agents outperform pure reinforcement-based strategies in game-theoretic tasks.

CNNs improve wind speed forecasts in the Netherlands.

problem Limited spatial patterns in current post-processing methods.
method Convolutional Neural Networks (CNNs) for spatial wind speed information.
result CNNs produce better probabilistic forecasts with higher Brier skill scores.

The design of codes for communicating reliably over a statistically well defined channel is an important endeavor involving deep mathematical research and wide-ranging practical applications. In this work, we present the first family of codes obtained via deep learning, which significantly beats state-of-the-art codes …

2018-07-02abs ↗pdf ↗

PoEL protocol aims to efficiently create and secure liquidity for blockchain networks.

problem Lack of sustainable liquidity and network security in Proof of Stake blockchains.
method PoEL uses staking rewards to attract risk capital, structuring incentives for capital efficiency and security.
result PoEL protocol enhances blockchain network security and liquidity sustainability.

While the costs of human violence have attracted a great deal of attention from the research community, the effects of the network-on-network (NoN) violence popularised by Generative Adversarial Networks have yet to be addressed. In this work, we quantify the financial, social, spiritual, cultural, grammatical and derm…

2017-03-07abs ↗pdf ↗

Online audio advertising is a particular form of advertising used abundantly in online music streaming services. In these platforms, which tend to host tens of thousands of unique audio advertisements (ads), providing high quality ads ensures a better user experience and results in longer user engagement. Therefore, th…

2018-02-09abs ↗pdf ↗

This article serves a few purposes. First of all, it reviews polyfold--Kuranishi correspondence I (http://arxiv.org/abs/1402.7008) and previews and samples some results from four papers I have been preparing. It is also a written-up and expanded version of a talk I gave at a symplectic conference in Chengdu on June 28,…

2015-10-23abs ↗pdf ↗

About a decade ago Thurston proved that a vast collection of 3-manifolds carry metrics of constant negative curvature. These manifolds are thus elements of {\em hyperbolic geometry}, as natural as Euclid's regular polyhedra. For a closed manifold, Mostow rigidity assures that a hyperbolic structure is unique when it ex…

1992-10-01abs ↗pdf ↗

This paper optimizes UAV and FeICIC locations in a three-tier LTE-Advanced network.

problem Optimizing UAV and FeICIC locations in a three-tier LTE-Advanced network.
method Integrates UAVs as both UE and BS in LTE-Advanced HetNet, uses CRE, ICIC, 3D beamforming, and genetic algorithms for optimization.
result Heuristic algorithms outperform brute-force techniques in achieving better 5pSE and coverage probability.

SinReQ adds sinusoidal regularization to improve quantized neural networks.

problem Accuracy loss in quantized deep neural networks.
method SinReQ adds a periodic term to the objective function of quantized training algorithms.
result SinReQ closes the accuracy gap by 32.4% and 27.5% compared to DoReFa and WRPN respectively.

Kernel Dynamic Mode Decomposition reconstructs dynamical systems using Laplacian kernel.

problem Reconstructing spatial-temporal dynamics of complex systems.
method Kernel Dynamic Mode Decomposition with Laplacian kernel.
result Laplacian kernel allows for the closability of Koopman operators in RKHS, enabling reconstruction.

A new method merges neural networks using CCA to improve model performance.

problem Improving model accuracy through ensembling while reducing computational and storage costs.
method CCA Merge, a new model merging algorithm based on Canonical Correlation Analysis.
result CCA Merge leads to better model performance than past methods, especially in merging more than two models.

The study compares statistical post-processing methods for solar radiation forecasts.

problem Improving accuracy and uncertainty quantification of solar radiation forecasts.
method Statistical post-processing techniques using relationships between meteorological variables and solar radiation.
result Quantile regression and generalized random forests generally perform best in probabilistic forecasts.

An alternating distance is a link invariant that measures how far away a link is from alternating. We study several alternating distances and demonstrate that there exist families of links for which the difference between certain alternating distances is arbitrarily large. We also show that two alternating distances, t…

2014-06-26abs ↗pdf ↗

New quasi-alternating links created from existing ones.

problem Creating new quasi-alternating links from existing ones.
method Extending the construction of quasi-alternating links by replacing a crossing with an alternating tangle of the same type.
result Jones polynomial of new quasi-alternating links has no gap if the original link has no gap.

A link is almost alternating if it is non-alternating and has a diagram that can be transformed into an alternating diagram via one crossing change. We give formulas for the first two and last two potential coefficients of the Jones polynomial of an almost alternating link. Using these formulas, we show that the Jones …

2017-07-18abs ↗pdf ↗

Bankwitz characterized an alternating diagram representing the trivial knot. A non-alternating diagram is called almost alternating if one crossing change makes the diagram alternating. We characterize an almost alternaing diagram representing the trivial knot. As a corollary we determine an unknotting number one alter…

2006-04-30abs ↗pdf ↗

In this paper, we show that a link which has a positive and almost alternating diagram is alternating, besides that a positive and non-alternating Montesinos link has an almost positive-alternating diagram.

2015-10-12abs ↗pdf ↗

We construct an infinite family of quasi-alternating links from a given quasi-alternating link by replacing a crossing by a product of rational tangles each of which extends that crossing. Consequently, we determine an infinite family of quasi-alternating Montesinos links. This family contains all the classes of quasi-…

2012-05-21abs ↗pdf ↗

Study of alternating links on nonorientable surfaces, extending results to nonorientable projections.

problem Generalizing hyperbolic geometry results to nonorientable surfaces.
method Extending results from orientable to nonorientable surfaces.
result Klein-bottly alternating links in prism manifolds have hyperbolic geometry.

Decomposes prime alternating links into prime tangles.

problem Understanding how to decompose prime alternating links into prime tangles.
method Refined results from Menasco and Thistlethwaite, focusing on alternating property and pseudo-Montesinos links.
result If a prime alternating link can be decomposed into two prime tangles, it must be visible in an alternating link diagram or the link is pseudo-Montesinos.