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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.

169,341 papers · 148 categories

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3774110147 · Jun 202019922001200920182026
48 results for fixed-length vector

Proposes a new model to predict click-through rates by learning user interests.

problem Difficulty in capturing diverse user interests from historical behaviors.
method Introduces a local activation unit to adaptively learn user interests from historical behaviors for each ad.
result Improves model's expressive ability by varying representation vectors over different ads.

RATQ is a new quantizer for optimizing noisy gradients in machine learning.

problem Optimizing noisy gradients in stochastic optimization.
method RATQ uses Hadamard transform and adaptive uniform quantization, and achieves near-optimal performance.
result RATQ nearly achieves information theoretic lower bounds for optimization accuracy.

A neural network approach solves multiple-instance problems more effectively.

problem Difficult to describe objects by a single vector, requiring bag-level classification.
method Proposes a neural network formalism for MIL problems, optimizing with modified back-propagation.
result Shows superior performance compared to existing classifiers on 14 benchmark datasets.

Neural machine translation is a recently proposed approach to machine translation. Unlike the traditional statistical machine translation, the neural machine translation aims at building a single neural network that can be jointly tuned to maximize the translation performance. The models proposed recently for neural ma…

2014-09-01abs ↗pdf ↗

The study finds solutions to a curvature minimisation problem in fixed-length curves.

problem Minimizing the LL^\infty-norm of curvature among curves of fixed length.
method Characterized solutions by a system of differential equations and classified the structure of solutions.
result Characterized solutions to the LL^\infty-norm of curvature problem.

Model converts code snippets into vectors for predicting method names.

problem Representing code as vectors for semantic analysis.
method Decomposes code into abstract syntax tree paths, learns atomic representations simultaneously with aggregation.
result Code vectors trained on 14M methods can predict method names from unseen files.

NBF combines deep learning with classical filtering for better belief tracking.

problem Maintaining distributions over hidden states in partially observable systems.
method Trains neural networks to map beliefs to fixed-length vectors, updating them with incoming observations and dynamics.
result NBF efficiently tracks shifting, multimodal beliefs without particle impoverishment.

We consider the expected value for the total curvature of a random closed polygon. Numerical experiments have suggested that as the number of edges becomes large, the difference between the expected total curvature of a random closed polygon and a random open polygon with the same number of turning angles approaches a …

2012-10-24abs ↗pdf ↗

SummerTime summarizes variable-length time series for machine learning applications.

problem Classical machine learning methods struggle with variable-length time series data.
method Summarizes time series into a fixed-length feature vector using Gaussian Mixture Models (GMM).
result Improves classification and regression performance in physical activity analysis.

Efficiently identifies users from walking activity data using kernel-based DTW.

problem Identifying users from walking activity data streams.
method Learning a kernel to approximate DTW for efficient analysis of streaming data from wearable sensors.
result The proposed approach reduces computational burden compared to traditional DTW.

Physical knots and links are one-dimensional submanifolds of R^3 with fixed length and thickness. We show that isotopy classes in this category can differ from those of classical knot and link theory. In particular we exhibit a Gordian Split Link, a two component link that is split in the classical theory but cannot be…

2012-03-19abs ↗pdf ↗

Unified pipeline classifies time series using complex networks and persistent homology.

problem Classifying univariate time series using various graph constructions and metrics.
method Time series to graph, graph to dissimilarity matrix, filtration to persistence diagrams, vectorization to features.
result Persistence-based features are robust to noise and optimal graph type depends on signal structure.

Fixed angles of convex polygons lead to combinatorially rich polytopes.

problem Understanding the structure of convex polygons with fixed vertex angles.
method Combining combinatorial and geometric approaches, including dual polytopes and Schwarz-Christoffel maps.
result Fixed-angles polytopes are dual to cyclic polytopes under certain conditions.

OPORP combines permutation and random projection for efficient data vector compression.

problem Efficiently estimating cosine similarity in embedding-based retrieval applications.
method OPORP uses a permutation followed by a random vector dot product, then aggregates and normalizes the results into bins.
result OPORP improves the estimation of cosine similarity, reducing variance and improving accuracy.

TREP learns pedestrian trajectories efficiently without needing full datasets.

problem Learning fixed-length vector representations of variable-length trajectories.
method Actor-critic sequence-to-sequence autoencoder with spatial-aware objective function.
result TREP efficiently learns trajectory representations without needing full datasets.

Adaptive TFTs improve cryptocurrency price prediction accuracy.

problem Precise short-term price prediction in volatile cryptocurrency markets.
method Dynamic subseries lengths and pattern-based categorization.
result Significantly outperforms baseline models in prediction accuracy and profitability.

Study on dynamic curves with elastic energy and spontaneous curvature.

problem Modeling and analyzing dynamic planar curves with elastic energy.
method Gradient flow of inclination angle, nonlocal quasilinear system, local well-posedness, global existence, convergence.
result Local well-posedness, global existence, convergence of the flow for weak regularity initial data.

Moduli spaces of hyperbolic surfaces with geodesic boundary components of fixed lengths may be endowed with a symplectic structure via the Weil-Petersson form. We show that, as the boundary lengths are sent to infinity, the Weil-Petersson form converges to a piecewise linear form first defined by Kontsevich. The proof …

2010-10-20abs ↗pdf ↗

Motivated by the study of billiards in polygons, we prove fine results for the distribution of gaps of directions of saddle connections on translation surfaces. As an application we prove that for almost every holomorphic differential ωω on a Riemann surface of genus g2g \geq 2 the smallest gap between saddle connecti…

2010-12-20abs ↗pdf ↗

End-to-end learning framework for tree-structured data.

problem Learning models struggle with tree-structured data due to lack of fixed-length vectors.
method Developed a novel framework for generic semantic tree-structured data of arbitrary topology.
result Framework yields comparable performance to standard models with dedicated feature-vectors and outperforms in compositional data.

Self multi-head attention improves speaker recognition for long utterances.

problem Speaker recognition for long speech segments using Deep Learning.
method Convolutional Neural Network (CNN) for short-term features, self multi-head attention for long-term embeddings.
result Self multi-head attention outperforms other pooling methods by 18% relative EER on VoxCeleb1 dataset.

If (M,g)(M,g) is a compact Riemannian surface then the integrals of L2(M)L^2(M)-normalized eigenfunctions eje_j over geodesic segments of fixed length are uniformly bounded. Also, if (M,g)(M,g) has negative curvature and γ(t)γ(t) is a geodesic parameterized by arc length, the measures ej(γ(t))dte_j(γ(t))\, dt on R\R tend to zero in the …

2013-02-22abs ↗pdf ↗

Study curves evolving by gradient flow of elastic energy, proving existence, smoothing, and convergence.

problem Evolution of curves with fixed length and clamped boundary conditions.
method Negative L2L^2-gradient flow of elastic energy, existence, parabolic smoothing, constrained Lojasiewicz-Simon gradient inequality.
result Convergence to a critical point as time tends to infinity.