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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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75149224298 · Jun 202019922001200920172026
48 results for sponge examples

Study finds a measure for sponge components of Lalley-Gatzouras type.

problem Understanding the distribution of δ-connected components in self-affine sponges.
method Generalized existing results to self-affine sponges of Lalley-Gatzouras type, proving a measure relationship.
result Existence of a Bernoulli measure for cylinder components with a specific asymptotic relation.

The paper examines properties of self-affine Sierpiński sponges using metric invariants.

problem Investigating properties of self-affine Sierpiński sponges using metric invariants.
method Examined through maximal power law property and perfectly disconnectedness.
result Characterized self-affine Sierpiński sponges by their metric properties.

Regularized spectral methods improve clustering in signed graphs, especially for sparse data.

problem Clustering signed graphs with positive and negative edges.
method Developed regularized versions of SPONGE and Signed Laplacian methods for clustering signed graphs, especially for sparse data.
result Theoretical guarantees and empirical performance improvements for clustering signed graphs, especially in sparse regimes.

We construct a Fredholm module on self-similar sets such as the Cantor dust, the Sierpinski carpet and the Menger sponge. Our construction is a higher dimensional analogue of Connes' combinatorial construction of the Fredholm module on the Cantor set. We also calculate the Dixmier trace of two operators induced by the …

2019-12-12abs ↗pdf ↗

New framework constructs holographic tensor networks using hyperbolic buildings.

problem Building holographic tensor networks for non-integer dimensions and fractal spaces.
method Introducing a unifying framework based on hyperbolic buildings and dualities.
result Constructs a family of bulk regions satisfying complementary recovery and Ryu-Takayanagi formula.

We introduce a principled and theoretically sound spectral method for kk-way clustering in signed graphs, where the affinity measure between nodes takes either positive or negative values. Our approach is motivated by social balance theory, where the task of clustering aims to decompose the network into disjoint group…

2019-04-18abs ↗pdf ↗

We show that every inner metric space X is the metric quotient of a complete R-tree via a free isometric action, which we call the covering R-tree of X. The quotient mapping is a weak submetry (hence, open) and light. In the case of compact 1-dimensional geodesic space X, the free isometric action is via a subgroup of …

2007-07-24abs ↗pdf ↗

Quantum GBS boosts asset clustering for robust statistical arbitrage portfolios.

problem Identifying co-moving assets from correlation matrices for statistical arbitrage.
method Mapping S&P 500 correlation data to GBS-compatible adjacency matrices, benchmarking classical and quantum clustering algorithms.
result Quantum GBS generates superior alpha during high volatility periods, persisting under low-loss conditions.

With rapid progress and significant successes in a wide spectrum of applications, deep learning is being applied in many safety-critical environments. However, deep neural networks have been recently found vulnerable to well-designed input samples, called adversarial examples. Adversarial examples are imperceptible to …

2017-12-19abs ↗pdf ↗

Cincer cleans both new and past data by identifying and relabeling suspicious and counter-examples.

problem Sequential learning under label noise, especially in applications with human supervision.
method Cincer uses example-based explanations to identify and relabel suspicious and counter-examples, leveraging Fisher information matrix approximation.
result Cincer achieves better data and models by clarifying the model's suspicions, especially with FIM approximation.

Proposes BATer for improved adversarial example detection.

problem Detecting adversarial examples in neural networks.
method Introduces a Bayesian adversarial example detector (BATer) using random components in a Bayesian neural network.
result BATer outperforms state-of-the-art detectors in adversarial example detection.

We consider learning problems where the training set consists of two types of examples: private and public. The goal is to design a learning algorithm that satisfies differential privacy only with respect to the private examples. This setting interpolates between private learning (where all examples are private) and cl…

2019-10-25abs ↗pdf ↗

Catastrophic forgetting of connectionist neural networks is caused by the global sharing of parameters among all training examples. In this study, we analyze parameter sharing under the conditional computation framework where the parameters of a neural network are conditioned on each input example. At one extreme, if e…

2019-06-16abs ↗pdf ↗

RelatIF selects more intuitive training examples for explaining model predictions.

problem Influence functions identify outliers as explanatory examples, leading to poor explanations.
method RelatIF separates global and local influence, optimizing for local relative to global effects.
result Examples selected by RelatIF are more intuitive than those from influence functions.

Recent studies show that widely used deep neural networks (DNNs) are vulnerable to carefully crafted adversarial examples. Many advanced algorithms have been proposed to generate adversarial examples by leveraging the Lp\mathcal{L}_p distance for penalizing perturbations. Researchers have explored different defense met…

2018-01-08abs ↗pdf ↗

Algorithm learns from both labeled and arbitrary test examples, giving guarantees for bounded VC dimension classes.

problem Learning from arbitrary test examples, not just perturbations.
method Selective transductive learning algorithm that outputs abstaining predictions.
result Nontrivial guarantees for bounded VC dimension classes with arbitrary train and test distributions.

When learning a new concept, not all training examples may prove equally useful for training: some may have higher or lower training value than others. The goal of this paper is to bring to the attention of the vision community the following considerations: (1) some examples are better than others for training detector…

2013-11-25abs ↗pdf ↗

StrokeCoder uses Transformers to generate images from single examples.

problem Creating diverse images from a single example.
method Transformer Neural Network learns from a single path-based example to generate a set of images.
result The model can generate a large set of deviated images that still represent the original image's style and concept.

The paper analyzes how forgetting in LLMs is linked to simple task-upstream example associations.

problem Forgetting of upstream knowledge in fine-tuned LLMs.
method Empirical analysis of forgotten examples in NN upstream examples after MM new tasks, using low-rank matrix approximation.
result Forgetting can be predicted efficiently using matrix completion over empirical associations.

New examples of manifolds with positive scalar curvature and infinitely many poles.

problem Constructing manifolds with positive scalar curvature and understanding their limits.
method Extending previous examples to create new sequences of manifolds.
result Found new examples of manifolds with infinitely many poles and positive scalar curvature.

This study explores how examples influence ICL in LLMs.

problem Understanding how examples impact in-context learning in large language models.
method Theoretical study with a probabilistic model extending from Gaussian mixture model.
result The impact of pre-training knowledge and examples on ICL prediction accuracy.

In many classification problems unlabelled data is abundant and a subset can be chosen for labelling. This defines the context of active learning (AL), where methods systematically select that subset, to improve a classifier by retraining. Given a classification problem, and a classifier trained on a small number of la…

2014-07-30abs ↗pdf ↗

Deep networks prioritize easier examples over harder ones, leading to faster training.

problem Understanding how deep networks prioritize examples of varying difficulty.
method Investigated the effect of linear vs non-linear learning modes on example difficulty.
result Non-linear dynamics tend to sequentialize the learning of examples of increasing difficulty.

Method trains deep models to explain predictions with fewer examples.

problem Difficulty in humans understanding deep model predictions.
method Simultaneously trains prediction and explanation models with sparse regularization.
result Improves faithfulness of explanations with fewer examples while maintaining predictive performance.

In recent years, the electrocardiogram (ECG) has seen a large diffusion in both medical and commercial applications, fueled by the rise of single-lead versions. Single-lead ECG can be embedded in medical devices and wearable products such as the injectable Medtronic Linq monitor, the iRhythm Ziopatch wearable monitor, …

2019-05-13abs ↗pdf ↗

We study the problem of reducing the amount of labeled training data required to train supervised classification models. We approach it by leveraging Active Learning, through sequential selection of examples which benefit the model most. Selecting examples one by one is not practical for the amount of training examples…

2019-01-17abs ↗pdf ↗

We propose a method to generate audio adversarial examples that can attack a state-of-the-art speech recognition model in the physical world. Previous work assumes that generated adversarial examples are directly fed to the recognition model, and is not able to perform such a physical attack because of reverberation an…

2018-10-28abs ↗pdf ↗