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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.

168,657 papers · 148 categories

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1122 · Sep 201219922001200920172026
45 results for NB

The seemingly disjoint problems of count and mixture modeling are united under the negative binomial (NB) process. A gamma process is employed to model the rate measure of a Poisson process, whose normalization provides a random probability measure for mixture modeling and whose marginalization leads to an NB process f…

2012-09-15abs ↗pdf ↗

By developing data augmentation methods unique to the negative binomial (NB) distribution, we unite seemingly disjoint count and mixture models under the NB process framework. We develop fundamental properties of the models and derive efficient Gibbs sampling inference. We show that the gamma-NB process can be reduced …

2012-09-05abs ↗pdf ↗

Study on knot unknotting numbers and their behavior under connected sums.

problem Behavior of knot unknotting numbers under connected sums.
method Analyzing the band-unknotting number and its sub-additivity properties.
result Infinitely many examples showing unb(K1#K2)<unb(K1)+unb(K2)u_{nb}(K_1\#K_2) < u_{nb}(K_1) + u_{nb}(K_2) and unb(K1#K2)<unb(Ki)u_{nb}(K_1\#K_2) < u_{nb}(K_i) for i=1,2i=1,2.

We consider estimating the edge-probability matrix of a network generated from a graphon model when the full network is not observed---only some overlapping subgraphs are. We extend the neighbourhood smoothing (NBS) algorithm of Zhang et al. (2017) to this missing-data set-up and show experimentally that, for a wide ra…

2019-06-02abs ↗pdf ↗

As a consequence of the strong and usually violated conditional independence assumption (CIA) of naive Bayes (NB) classifier, the performance of NB becomes less and less favorable compared to sophisticated classifiers when the sample size increases. We learn from this phenomenon that when the size of the training data …

2014-12-21abs ↗pdf ↗

This paper simplifies the Nash Bargaining Solution for use in intellectual property cases.

problem Limited application of Nash Bargaining Solution in assigning intellectual property damages.
method Normalizes the Nash Bargaining Solution and provides a methodology for determining bargaining weight.
result Clarifies the application of Nash Bargaining Solution to specific case facts.

Study optimizes smart contract adoption under high demand variability using Negative Binomial models.

problem Effective supply chain management under high demand variability.
method Combines dynamic Negative Binomial demand modeling with endogenous smart contract adoption optimization.
result The NB model outperforms other benchmarks in forecasting and optimizing smart contract adoption and order quantity.

Accurate statistical models of neural spike responses can characterize the information carried by neural populations. But the limited samples of spike counts during recording usually result in model overfitting. Besides, current models assume spike counts to be Poisson-distributed, which ignores the fact that many neur…

2016-05-10abs ↗pdf ↗

Unified understanding of neural representation similarity measures.

problem Fragmented research landscape of neural network similarity measures.
method Observation and exploration of connections between shape distances and normalized Bures similarity.
result Cosine of the Riemannian shape distance equals normalized Bures similarity.

New method computes discriminative classifiers from generative models.

problem Discriminative vs generative classifiers are often seen as distinct, but this work shows they can be equivalent.
method General theoretical result showing generative classifiers can be computed discriminatively.
result Bayesian Maximum Posterior classifier from generative models matches discriminative classifier definition.

Unified representation of density-power-based divergences simplifies estimation to M-estimation.

problem Outliers in density estimation.
method Define a norm-based Bregman density power divergence (NB-DPD) that reduces to M-estimation.
result NB-DPD connects and generalizes existing divergences, highlighting robustness properties.

Unbounded primitivity index in free groups linked to Chebyshev function.

problem Analyzing primitivity and simplicity indices in free groups.
method Combining topological, group-theoretic, and number-theoretic approaches, including asymptotic properties of the second Chebyshev function.
result Proved the unboundedness of the primitivity index sequence and its asymptotic behavior.

This study uses machine learning to predict sovereign credit ratings and identifies key factors.

problem Predicting sovereign credit ratings and identifying important factors.
method Used Multilayer Perceptron (MLP), Classification and Regression Trees (CART), Support Vector Machines (SVM), Naïve Bayes (NB), and Ordered Logit (OL) models.
result MLP is the best model for predicting sovereign credit ratings with a 68% accuracy.

We study the multi-armed bandit problem with multiple plays and a budget constraint for both the stochastic and the adversarial setting. At each round, exactly KK out of NN possible arms have to be played (with 1KN1\leq K \leq N). In addition to observing the individual rewards for each arm played, the player also lea…

2017-11-16abs ↗pdf ↗

The Conway potential function (CPF) for colored links is a convenient version of the multi-variable Alexander-Conway polynomial. We give a skein characterization of CPF, much simpler than the one by Murakami. In particular, Conway's `smoothing of crossings' is not in the axioms. The proof uses a reduction scheme in a t…

2014-07-11abs ↗pdf ↗

We characterize the combinatorial structure of conditionally-i.i.d. sequences of negative binomial processes with a common beta process base measure. In Bayesian nonparametric applications, such processes have served as models for latent multisets of features underlying data. Analogously, random subsets arise from cond…

2013-12-31abs ↗pdf ↗

Vehicular Ad-hoc NETworks (VANET) can efficiently detect traffic congestion, but detection is not enough because congestion can be further classified as recurrent and non-recurrent congestion (NRC). In particular, NRC in an urban network is mainly caused by incidents, workzones, special events and adverse weather. We p…

2019-04-26abs ↗pdf ↗

This study analyzes app reviews to understand students' behavior in the app market.

problem Extracting sentiment from growing app reviews manually is impractical.
method Used machine learning algorithms with TF-IDF for text representation and ensemble learning for evaluation.
result SVM achieved the highest accuracy (93.37%) on tri-gram + TF-IDF scheme.

Bayesian CART models improve insurance claims frequency prediction and interpretation.

problem Improving accuracy and interpretability in insurance pricing models.
method Introducing Bayesian CART models for claims frequency, implementing MCMC algorithm for posterior tree exploration, and using DIC for model selection.
result Bayesian CART models can better classify policy-holders into risk groups.

New method calibrates false detection rates in sequential change detection.

problem Challenges in setting time-invariant thresholds for false positives.
method Simulation-based approach to time-varying thresholds.
result Accurately targets desired expected runtime while keeping false positive rate constant.

The study of healthy brain development helps to better understand the brain transformation and brain connectivity patterns which happen during childhood to adulthood. This study presents a sparse machine learning solution across whole-brain functional connectivity (FC) measures of three sets of data, derived from resti…

2019-04-01abs ↗pdf ↗

Crash prediction is a critical component of road safety analyses. A widely adopted approach to crash prediction is application of regression based techniques. The underlying calibration process is often time-consuming, requiring significant domain knowledge and expertise and cannot be easily automated. This paper intro…

2018-12-17abs ↗pdf ↗

The paper benchmarks data stream classifiers for human activity recognition on connected devices.

problem Challenges in human activity recognition on connected devices, particularly high memory consumption and low F1 scores.
method Evaluation of five stream classification algorithms on real and synthetic datasets, measuring both performance and resource consumption.
result HT and MF classifiers show superior performance and resilience to concept drift compared to other algorithms.

Let BnB_n denote the classical braid group on nn strands and let the {\em mixed braid group} Bm,nB_{m,n} be the subgroup of Bm+nB_{m+n} comprising braids for which the first mm strands form the identity braid. Let Bm,=nBm,nB_{m,\infty}=\cup_nB_{m,n}. We will describe explicit algebraic moves on Bm,B_{m,\infty} such that equivale…

2004-05-26abs ↗pdf ↗

Improved generalization bounds for SGD in non-convex learning.

problem Understanding generalization properties of SGD in non-convex settings.
method Introducing Type II perturbed SGD (T2pm-SGD) to analyze generalization error bounds.
result Tighter generalization error bounds for SGD in non-convex learning, especially for sub-Gaussian and bounded loss functions.

fastai is a deep learning library which provides practitioners with high-level components that can quickly and easily provide state-of-the-art results in standard deep learning domains, and provides researchers with low-level components that can be mixed and matched to build new approaches. It aims to do both things wi…

2020-02-11abs ↗pdf ↗

This study examines how data types affect ML algorithms' performance in Bitcoin price prediction.

problem Improving the accuracy of Bitcoin price forecasts for financial gain.
method Constructed continuous and trend data from Bitcoin's historical data, applied various ML algorithms, and compared their performance using accuracy and AUC.
result Data type significantly impacts ML algorithms' performance in Bitcoin price prediction.