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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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6131925 · May 202619922001200920182026
48 results for Nested Logit

New models improve choice prediction accuracy.

problem Model misspecifications in discrete choice models lead to limited predictability and biased estimates.
method Proposes a new approach to estimate choice models by dividing the systematic part into knowledge-driven and data-driven components, which learns a new representation from available variables.
result The new models (L-MNL and L-NL) outperform traditional models in predictive performance and parameter estimation.

We study a stylized dynamic assortment planning problem during a selling season of finite length TT. At each time period, the seller offers an arriving customer an assortment of substitutable products and the customer makes the purchase among offered products according to a discrete choice model. The goal of the selle…

2018-06-27abs ↗pdf ↗

Alt-GNNs improve travel mode choice modeling by integrating graph neural networks with GEV models.

problem Capturing alternative dependence in discrete choice models with predefined, symmetric, and uniform dependence.
method Introducing Alternative Graph Neural Networks (Alt-GNNs) that embed alternative dependence within a unified framework.
result Alt-GNNs significantly improve predictive performance over benchmark models in travel mode choice datasets.

Proposes a convex model for mixed logit to handle individual heterogeneity.

problem Non-convex optimization in mixed logit models for individual heterogeneity.
method Sparse and low-rank decomposition for convex formulation.
result Convex formulation avoids simulation-based approximation and unstable model interpretation.

Graph neural networks improve residential location choice predictions.

problem Capturing spatial dependence in discrete choice models.
method Graph Neural Networks (GNN) for analyzing spatial alternatives.
result GNN-DCMs outperform classical models in residential location choice predictions.

The paper connects discrete choice models to multi-armed bandit algorithms with sublinear regret bounds.

problem Optimizing user choices in a multi-armed bandit setting.
method Establishes connections between discrete choice models and multi-armed bandit algorithms, providing sublinear regret bounds and novel algorithms.
result Sublinear regret bounds for a family of algorithms, including the Exp3 algorithm.

New method tightens federated probe-logit distillation rates under varying bandwidths.

problem Estimating conditional distributions in federated learning with heterogeneous bandwidth constraints.
method Developed a new federated probe-logit distillation (FPLD) method with optimal allocation for varying bandwidths.
result Achieved matching lower and upper bounds for the minimax rate under heterogeneous bandwidths.

Logit regularization induces logit clustering, affecting classifier performance.

problem Understanding the mechanism of logit regularization in classification.
method Analysis of logit regularization in linear classification, proving logit clustering leads to Fisher's Linear Discriminant alignment.
result Logit regularization can halve critical sample complexity and induce robust generalization.

Newly available data on the spatial distribution of retail activities in cities makes it possible to build models formalized at the level of the single retailer. Current models tackle consumer location choices at an aggregate level and the opportunity new data offers for modeling at the retail unit level lacks a theore…

2016-12-16abs ↗pdf ↗

Logit-Coordinate models improve representation of mixed data types.

problem Representation of mixed continuous-categorical data in generative models.
method Logit-coordinate framework combining categorical and continuous variables.
result Logit-Coordinate models outperform one-hot encoding in simulations and real data.

Proposes SOVR loss to improve adversarial robustness by increasing logit margins.

problem Adversarial training's difficulty in robustness against sophisticated attacks.
method Introduces SOVR loss function that switches from cross-entropy to one-vs-the-rest loss for important samples.
result SOVR loss increases logit margins of important samples, improving robustness against Auto-Attack.

In this paper, we develop improved techniques for defending against adversarial examples at scale. First, we implement the state of the art version of adversarial training at unprecedented scale on ImageNet and investigate whether it remains effective in this setting - an important open scientific question (Athalye et …

2018-03-16abs ↗pdf ↗

Generative classifier derived from any discriminative classifier rejects illegal inputs.

problem Detecting and rejecting illegal inputs like adversarial examples and out-of-distribution samples.
method SDIM-logit: learns generative classifier from logits of any discriminative classifier, imposing statistical constraints.
result SDIM-logit inherits performance of base classifier without loss and can reject illegal inputs.

This paper compares machine learning and logit models for predicting travel mode choice.

problem Comparing interpretability of machine learning and logit models for travel mode choice.
method Empirical evaluation of machine learning and logit models on stated preference survey data.
result Machine learning produces significantly higher predictive accuracy than logit models.

Optimizes assortment decisions with a new OFU scheme for online choice problems.

problem Online assortment optimization under stochastic choice with revenue performance and inference quality considerations.
method Forced-exploration OFU scheme combining regularized estimators for decision making and inference.
result Explicit regret bound and error bounds for approximate optimistic actions, showing Pareto optimality.

We consider neural network training, in applications in which there are many possible classes, but at test-time, the task is a binary classification task of determining whether the given example belongs to a specific class, where the class of interest can be different each time the classifier is applied. For instance, …

2017-05-29abs ↗pdf ↗

Study cobordisms of nested manifolds and their invariants.

problem Understanding cobordisms of nested manifolds and their invariants.
method Identify a nested analog of the Pontryagin-Thom construction and find spaces homotopy equivalent to nested Pontryagin-Thom spaces.
result Discover nested cobordism invariants and provide an alternative proof of Wall's splitting result.

New method bypasses statistical and classifier-based detection of adversarial examples.

problem Vulnerability of deep learning classifiers to adversarial examples.
method Classifier-based adaptation of statistical test method and Logit Mimicry Attack.
result Reduces detection performance to less than 2.2% TPR and 1.6% TPR for statistical test and classifier-based methods, respectively, even at 5% FPR.

Paper tackles long-tailed labels in classification problems.

problem Imbalanced or long-tailed label distribution in real-world classification problems.
method Logit adjustment applied post-hoc or during training to encourage a large relative margin between rare and dominant labels.
result Unified and generalised techniques for coping with long-tailed labels, improving generalisation and performance.

Detects misclassifications and adversarial examples using neural network logits.

problem Unable to detect misclassifications and adversarial examples in neural networks.
method Introspection using pretrained neural network logits.
result Simple 3-layer neural network trained on logits detects misclassifications competitively.

Quantum algorithm speeds up nested expectation estimation by nearly quadratically.

problem Estimating repeatedly nested expectations with quantum computing.
method Proposes a quantum algorithm achieving nearly quadratic speedup over classical methods.
result Achieves nearly quadratic speedup for RNEs, up to logarithmic factors.

The paper proposes an efficient method to scale Bayesian inference for mixed multinomial logit models to very large datasets.

problem Efficiency in Bayesian inference for mixed multinomial logit models on large datasets.
method Amortized Variational Inference with stochastic backpropagation, automatic differentiation, and GPU acceleration.
result The proposed method achieves significant computational speedups over traditional methods for large datasets.

Improved nested simulation for financial risk measurement.

problem Efficiently estimating nested risk measures in financial engineering.
method Reusing inner simulation outputs to improve efficiency and accuracy.
result The proposed approach outperforms standard nested simulation and regression methods.

Let R be an o-minimal expansion of the real field, and let L(R) be the language consisting of all nested Rolle leaves over R. We call a set nested subpfaffian over R if it is the projection of a boolean combination of definable sets and nested Rolle leaves over R. Assuming that R admits analytic cell decomposition, we …

2006-02-09abs ↗pdf ↗

The paper proposes logit regularization for improving neural network robustness against adversarial attacks.

problem Vulnerability of neural networks to adversarial examples, especially in safety-critical applications.
method Logit regularization techniques combined with other methods to enhance adversarial robustness.
result Logit regularization can improve the effectiveness of existing adversarial defenses and create stronger black-box attacks.

Many problems in machine learning and statistics involve nested expectations and thus do not permit conventional Monte Carlo (MC) estimation. For such problems, one must nest estimators, such that terms in an outer estimator themselves involve calculation of a separate, nested, estimation. We investigate the statistica…

2017-09-18abs ↗pdf ↗