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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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4.2%8.3%12.5%16.7% · Sep 199519922001200920182026
48 results for gradient coherence

New metric mm-coherence measures gradient alignment during training, revealing surprising memorization patterns.

problem Measuring and understanding the alignment of per-example gradients during training.
method Introducing mm-coherence as a metric to study gradient alignment, showing its advantages over existing metrics.
result Training with random labels leads to high mm-coherence, indicating common patterns even when generalization is not possible.

Gradient-coherent strong regularization improves deep neural networks' generalization.

problem Deep neural networks overfit with strong L1/L2 regularization.
method Imposes regularization only when gradients are coherent, using stochastic gradient descent.
result Significantly improves accuracy and compression (up to 9.9x).

Proposes Coherent Gradients to explain and reduce overfitting in neural networks.

problem Why neural networks generalize well despite fitting random data.
method Hypothesis about gradient dynamics and a modification to gradient descent.
result Supports hypothesis with heuristic arguments and perturbative experiments.

Study on generalization in gradient-based meta-learning, showing flatter solutions and coherence between adaptation trajectories.

problem Understanding generalization in gradient-based meta-learning.
method Analysis of objective landscapes, experimental demonstration of solution properties, and empirical evidence on coherence between adaptation trajectories.
result Meta-test solutions become flatter, lower in loss, and further away from the meta-train solution as meta-training progresses, even as generalization starts to degrade.

Study on convergence of OMD for saddle point problems, correcting previous claims.

problem Convergence of OMD for saddle point problems with exact gradients.
method Analysis of Mirror Descent and Optimistic Mirror Descent for saddle point problems.
result Monotone convergence only occurs after a large number of iterations for coherent saddle point problems.

Algorithm optimizes functions without parameters, converging to global minima.

problem Optimizing functions without parameters.
method Follow The Regularized Leader with rescaled gradients and time-varying regularizers.
result Converges to global minimizer for variationally coherent functions.

The paper addresses speckle noise in coherent imaging systems.

problem Speckle noise degrades image quality in coherent imaging systems.
method Theoretical and algorithmic analysis of likelihood-based approaches for multilook coherent imaging.
result Established the first theoretical upper bound on MSE of the maximum likelihood estimator.

Several authors have recently developed risk-sensitive policy gradient methods that augment the standard expected cost minimization problem with a measure of variability in cost. These studies have focused on specific risk-measures, such as the variance or conditional value at risk (CVaR). In this work, we extend the p…

2015-02-13abs ↗pdf ↗

We analyze why some models resist unlearning using linear stability theory.

problem Understanding and predicting when machine learning models resist unlearning.
method Linear stability theory applied to machine learning models, focusing on data coherence and optimization dynamics.
result Data coherence and signal-to-noise ratio (SNR) influence unlearning resistance; lower SNR makes unlearning easier.

Coherent Multiplex analyzes real-time wavelet coherence among multiple signals.

problem Identifying and visualizing coherence among multiple time series.
method Fast spectral similarity based on cosine similarity metrics of Fourier-transformed signals and sparse time-frequency wavelet coherence.
result Scalable real-time system for low-latency inference and monitoring of inter-signal relationships.

The transition amplitudes between coherent states on a coherent state manifold are expressed in terms of the embedding of the coherent state manifold into a projective Hilbert space. Consequences for the dimension of projective Hilbert space and a simple geometric interpretation of Calabi's diastasis follows.

1997-07-31abs ↗pdf ↗

Researchers explore non-coherent banding in site-specific recombination.

problem Understanding non-coherent banding in site-specific recombination.
method Survey of recent developments in non-coherent banding on knots.
result Recent advances in non-coherent banding model for site-specific recombination.

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular signal class by iteratively computing an approximate factorization of a training …

2012-05-28abs ↗pdf ↗

Develops equivariant Chern characters for coherent sheaves with group actions.

problem Computing Chern characters for coherent sheaves on manifolds with group actions.
method Introduces equivariant Chern characters and proves Riemann-Roch-Grothendieck theorem in Bott-Chern cohomology.
result Establishes a Riemann-Roch-Grothendieck theorem for coherent sheaves with finite group actions.

Generates coherent storybooks from plain text using diffusion models.

problem Ensuring coherency in a sequence of images for storytelling applications.
method Combines pre-trained LLM and text-guided Latent Diffusion Model for zero-shot generation.
result Outperforms state-of-the-art image editing baselines in generating coherent storybooks.

Low-rank matrix approximations are often used to help scale standard machine learning algorithms to large-scale problems. Recently, matrix coherence has been used to characterize the ability to extract global information from a subset of matrix entries in the context of these low-rank approximations and other sampling-…

2010-09-04abs ↗pdf ↗

Morse theory extended to noncompact manifolds with complex geometric data.

problem Extending Morse theory to noncompact manifolds with intricate geometric and homotopy data.
method Defining Morse homology for pairs of manifolds and related geometric/homotopy data, constructing a homotopy coherent diagram of linear maps, and showing it computes Morse homology.
result Morse homology can be computed using a chain complex derived from a homotopy coherent diagram.

Develops non-standard analysis for coherent risk estimation.

problem Estimating coherent risk measures in financial contexts.
method Non-standard analysis, hyperfinite representations, discrete Kusuoka formulae, plug-in asymptotics.
result Uniform almost sure consistency and asymptotic normality of spectral plug-in estimators.

This paper improves facial expression recognition using CNNs and coherence constraints.

problem Facial expression recognition from static images and video sequences is challenging.
method Investigates the use of Convolutional Neural Networks (CNNs) with coherence constraints in a semi-supervised setting.
result Coherence constraints improve facial expression recognition quality, especially in the presence of occlusions.

We propose a pricing technique based on coherent risk measures, which enables one to get finer price intervals than in the No Good Deals pricing. The main idea consists in splitting a liability into several parts and selling these parts to different agents. The technique is closely connected with the convolution of coh…

2006-05-02abs ↗pdf ↗

The coherent states are viewed as a powerful tool in differential geometry. It is shown that some objects in differential geometry can be expressed using quantities which appear in the construction of the coherent states. The following subjects are discussed via the coherent states: the geodesics, the conjugate locus a…

1998-07-14abs ↗pdf ↗

We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilbert space. We determine the differential action of the generators of the representation of coherent state groups on the symmetric Fock space…

2002-11-04abs ↗pdf ↗

For homogeneous simply connected Hodge manifolds it is proved that the set of coherent vectors orthogonal to a given one is the divisor responsible for the homogeneous holomorphic line bundle of the coherent vectors. In particular, for naturally reductive spaces, the divisor is the cut locus.

1998-07-14abs ↗pdf ↗

A group is coherent if all its finitely generated subgroups are finitely presented. In this article we provide a criterion for positively determining the coherence of a group. This criterion is based upon the notion of the perimeter of a map between two finite 2-complexes which is introduced here. In the groups to whic…

2002-12-31abs ↗pdf ↗

The study examines Kähler structures on coadjoint orbits of Lie groups using coherent and squeezed states.

problem Does the coadjoint orbits of Lie groups support a Kähler structure?
method Examined three Lie groups: Weyl-Heisenberg, SU(2), and SU(1,1). Used coherent and squeezed states to explore Kähler structures.
result Coherent states provide Kähler embeddings, while squeezed states only symplectic embeddings.

For arbitrary quantizable compact Kaehler manifolds, relations between the geometry given by the coherent states based on the manifold and the algebraic (projective) geometry realised via the coherent state mapping into projective space, are studied. Polar divisors, formulas relating the scalar products of coherent vec…

1999-03-17abs ↗pdf ↗