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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.

168,695 papers · 148 categories

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81163244325 · Jun 202019922001200920172026
48 results for levelled embeddings

For leveled spatial graphs, we find a surface embedding that allows cellular embedding.

problem Finding a surface embedding for general spatial graphs is not always possible.
method Define leveled property, decompose graph into subgraphs, and construct surface.
result For leveled spatial graphs with a small number of levels, a surface can always be found.

Characterizes graphs with leveled embeddings and introduces new graph invariants.

problem Understanding the properties of leveled embeddings in spatial graphs.
method Characterization of graphs with leveled embeddings, introduction of new invariants.
result Characterization of graphs with low level number and determination of specific invariants for complete graphs and complete bipartite graphs.

Graph neural networks refine speaker embeddings for better session-level diarization.

problem Local speaker distinction in meeting sessions using deep embeddings.
method Graph Neural Networks (GNNs) refine speaker embeddings using session-level structural information.
result Spectral clustering on refined embeddings outperforms original embeddings significantly.

The joint optimization of representation learning and clustering in the embedding space has experienced a breakthrough in recent years. In spite of the advance, clustering with representation learning has been limited to flat-level categories, which often involves cohesive clustering with a focus on instance relations.…

2019-01-28abs ↗pdf ↗

Study compares different levels of supervision for training graph embeddings in wireless networks.

problem Improving power control in wireless interference networks.
method Training graph neural networks (GNNs) with different levels of supervision (supervised, unsupervised, self-supervised).
result Different levels of supervision impact system-level throughput, convergence, and generalization.

The paper establishes concentration bounds for embeddings of generative models.

problem Analyzing statistical properties of generative models.
method High probability concentration bounds on sample vector embeddings using Data Kernel Perspective Space.
result Determines the number of samples needed for accurate approximation of generative model embeddings.

In general, a self-attention mechanism has been applied for speaker embedding encoding. Previous studies focused on training the self-attention in a high-level layer, such as the last pooling layer. However, the effect of low-level features was reduced in the speaker embedding encoding. Therefore, we propose masked cro…

2020-01-28abs ↗pdf ↗

Paper develops a unified framework for measuring differences between conditional distributions.

problem Comparing conditional distributions in a unified and theoretically sound manner.
method Kernel embeddings and conditional maximum mean discrepancy (CMMD) framework.
result Established a coherent framework for measuring divergence between conditional distributions.

As mobile devices become more and more popular, mobile gaming has emerged as a promising market with billion-dollar revenues. A variety of mobile game platforms and services have been developed around the world. A critical challenge for these platforms and services is to understand the churn behavior in mobile games, w…

2019-01-14abs ↗pdf ↗

A new method for explaining the Siamese neural network is proposed. It uses the following main ideas. First, the explained feature vector is compared with the prototype of the corresponding class computed at the embedding level (the Siamese neural network output). The important features at this level are determined as …

2019-11-18abs ↗pdf ↗

Hybrid model learns interpretable meal-level glycemic control.

problem Lack of flexible, interpretable meal-level glycemic control methods.
method Hybrid variational autoencoder grounding latent space to mechanistic differential equation.
result Unsupervised representation discovers separation between individuals based on disease severity.

The study finds that supply chain information from LLM embeddings improves stock returns predictions.

problem Predicting stock returns using textual information from annual reports.
method Combining LLM embeddings of annual reports with supply chain knowledge graph propagation.
result Network-augmented embeddings significantly predict stock returns with a Sharpe ratio of 0.86 and alpha of 7.27%.

When a solenoid is embedded in three space, its complement is an open three manifold. We discuss the geometry and fundamental groups of such manifolds, and show that the complements of different solenoids (arising from different inverse limits) have different fundamental groups. Embeddings of the same solenoid can give…

2012-12-01abs ↗pdf ↗

PACE explains ViTs by modeling patch-level concept distributions, surpassing existing methods.

problem Lack of trustworthy post-hoc explanations for Vision Transformers (ViTs)
method Variational Bayesian explanation framework (PACE)
result PACE surpasses state-of-the-art methods in meeting desiderata for ViT explanations.

A new method for analyzing product competition using low-dimensional embeddings.

problem Computational challenges in studying product-level competition for millions of products.
method Product2Vec, a method based on representation learning algorithm Word2Vec.
result The method produces more accurate demand forecasts and price elasticities compared to state-of-the-art models.

Let XX be a simplicial complex with a piecewise linear function f:XRf:X\to\mathbb{R}. The Reeb graph Reeb(f,X)Reeb(f,X) is the quotient of XX, where we collapse each connected component of f1(t)f^{-1}(t) to a single point. Let the nodes of Reeb(f,X)Reeb(f,X) be all homologically critical points where any homology of the corresponding c…

2013-12-05abs ↗pdf ↗

Study shows how SL2\operatorname{SL}_2 Hitchin connection at level four behaves.

problem Understanding the behavior of SL2\operatorname{SL}_2 Hitchin connection at level four.
method Using Mumford-Welters connections and equivariant conformal embeddings, the connection's monodromy is shown to be finite.
result The monodromy of the SL2\operatorname{SL}_2 Hitchin connection at level four is finite.

Proves local isometric embedding of low-differentiability metrics in 3D space.

problem Isometric embedding of metrics of low differentiability in Euclidean 3-space.
method Simplified notation, geodesic and level parameters, solutions of initial value problems for first order non-linear PDEs, classical linear algebraic systems.
result Local isometric embedding exists for metrics of C1 differentiability.

Most state-of-the-art Deep Learning (DL) approaches for speaker recognition work on a short utterance level. Given the speech signal, these algorithms extract a sequence of speaker embeddings from short segments and those are averaged to obtain an utterance level speaker representation. In this work we propose the use …

2019-06-24abs ↗pdf ↗

This paper builds on the theory of generalised functions begun in [1]. The Colombeau theory of generalised scalar fields on manifolds is extended to a nonlinear theory of generalised tensor fields which is diffeomorphism invariant and has the sheaf property. The generalised Lie derivative for generalised tensor fields …

2019-10-08abs ↗pdf ↗

Investigates the rotating Kepler problem for energy values ≤ -3/2.

problem Understanding periodic orbits and symplectic structures in rotating celestial mechanics.
method Ligon-Schaaf and Levi-Civita symplectic regularizations, special concave toric domain construction.
result Identification of a special concave toric domain (SCTD) for the RKP phase space.