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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.

169,181 papers · 148 categories

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295886115 · Jun 202019922001200920182026
48 results for binary units

Deep belief networks can approximate any multivariate density with binary hidden units.

problem Approximating multivariate probability densities with binary hidden units.
method Sharp quantitative bounds on approximation error in terms of hidden units.
result Deep belief networks can approximate any multivariate density with binary hidden units under mild integrability requirements.

Paper proposes a novel spectral approach to learn binary latent variable models.

problem Learning binary latent variable models with hidden binary units in noisy data.
method Spectral approach based on eigenvectors of second and third order moment matrices.
result Consistently estimates model parameters at optimal rate under mild conditions.

Binary testing for softmax models requires many samples, similar to leverage score models.

problem Binary hypothesis testing for softmax models and leverage score models.
method Analyzing sample complexity and drawing analogies between models.
result Sample complexity is asymptotically \(O(ε^{-2})\), where \(ε\) is the distance between model parameters.

Model neural plasticity as binary optimization to dynamically activate or deactivate network units.

problem Dynamic learning and adaptability of neural networks.
method Model neural plasticity as an L0L_0-norm regularized binary optimization problem, where units can be activated or deactivated based on a cost-benefit tradeoff.
result Demonstrates that a single parameter kk can modulate learning dynamics, unifying network sparsification and expansion.

This study uses neural networks to solve interpolation problems with sparse, infinitely wide layers.

problem Exact data interpolation using sparse, infinitely wide neural networks.
method Atomic norm framework to derive convex hulls and equivalent convex formulations.
result Simple characterizations of convex hulls for different constraints on network weights and biases.

Combining interpretability and stability methods improves DNN robustness.

problem Improving interpretability and robustness of deep neural networks.
method Combining interpretability (conductance) and stability (binary classifier) methods to detect and discard wrong predictions.
result Combining interpretability and stability methods increases model robustness.

A neural network with a single hidden layer can't represent certain multivariable functions.

problem Representing certain multivariable functions with a neural network having only one hidden layer.
method Developed a continuum version of a one-hidden-layer neural network with ReLU activation, and proved constraints on its parameters and second derivative.
result Existence of a smooth binary function that cannot be precisely represented by any such neural network.

A new method sparsifies neural networks using stochastic binary optimization.

problem Sparsifying neural networks to reduce computational cost and improve efficiency.
method Stochastic binary optimization with the Augment-Reinforce-Merge (ARM) estimator.
result ARM enables efficient network sparsification with comparable accuracy to baseline methods.

The paper provides theoretical guarantees for neural network-based anomaly detection.

problem Theoretical guarantees for unsupervised neural network-based anomaly detection.
method Casting anomaly detection as a binary classification problem, establishing non-asymptotic upper bounds and convergence rates.
result The convergence rate on the excess risk matches the minimax optimal rate.

Ward2ICU dataset protects patient privacy while generating synthetic ICU transitions data.

problem Protecting patient privacy while creating synthetic ICU transition data.
method Wasserstein Generative Adversarial Network (GAN) to generate synthetic data, class label balancing.
result Quality of synthetic data generation assessed through binary classification task.

Neural network combines GRU and SVM for better intrusion detection.

problem Improving accuracy in binary classification for network intrusion detection.
method Integrates GRU with SVM as final output layer, replacing Softmax and cross-entropy.
result GRU-SVM model outperforms conventional GRU-Softmax model in accuracy and prediction time.

Lossy compression of statistical data using quantum annealing.

problem Efficiently compressing statistical floating-point data.
method Representation learning with binary variables, classical optimization of basis vectors, quantum annealing for coefficients, bias correction.
result Quantum annealing shows promising results with 3.5x better compression than neural-network autoencoders.

The paper uses permutation representations to visualize group extensions and subgroups.

problem Visualizing and understanding group extensions and subgroups.
method Developing metaphoric rope-thread diagrams to represent semi-direct products and their constituents.
result Injective homomorphisms into semi-direct products are established.

Machine learning predicts movie genres from summaries with high accuracy.

problem Predicting movie genres from plot summaries.
method Used Naive Bayes, Word2Vec+XGBoost, Recurrent Neural Networks, and Gated Recurrent Units (GRU) for text classification and multi-label problem.
result GRU neural networks achieve the best result with a Jaccard Index of 50.0%, F-score of 0.56, and hit rate of 80.5%.

The beta-Bernoulli process provides a Bayesian nonparametric prior for models involving collections of binary-valued features. A draw from the beta process yields an infinite collection of probabilities in the unit interval, and a draw from the Bernoulli process turns these into binary-valued features. Recent work has …

2011-06-03abs ↗pdf ↗

Analyzes how ReLU affects neural network capacity and solution space geometry.

problem Understanding the effects of ReLU on neural network capacity and solution space.
method Analytical and numerical studies of two-layer neural networks with ReLU activations.
result The capacity of ReLU networks remains finite as the number of hidden neurons increases, unlike for threshold units.

SAPSAM trains CNNs on lung CTs with binary labels, improving CPA detection and localization.

problem Chronic Pulmonary Aspergillosis (CPA) detection and localization on CT scans using binary labels.
method Binary labels, average intensity projections, 2D RGB-like images, hierarchical CNN architectures.
result High classification accuracy, precise localization, predictive power of 2-year survival.

Stochastic binary hidden units in a multi-layer perceptron (MLP) network give at least three potential benefits when compared to deterministic MLP networks. (1) They allow to learn one-to-many type of mappings. (2) They can be used in structured prediction problems, where modeling the internal structure of the output i…

2014-06-11abs ↗pdf ↗

2-bit quantization improves RNN performance on resource-limited devices.

problem Large models and high latency on resource-constrained devices.
method Quantize weights and activations into multiple binary codes using alternating minimization.
result 2-bit quantization achieves significant memory saving and inference acceleration.

UniPhyNet improves cognitive load classification accuracy using EEG, ECG, and EDA signals.

problem Classifying cognitive load using multimodal physiological data.
method Unified network architecture integrating multiscale parallel convolutional blocks, ResNet-type blocks, and channel block attention module. Uses bidirectional gated recurrent unit for temporal dependencies.
result Improves raw signal classification accuracy from 70% to 80% (binary) and 62% to 74% (ternary) on CL-Drive dataset.

CRBM extracts speech features from complex spectra directly.

problem Speech coding ignores phase information in complex spectra.
method CRBM learns relationships between visible and hidden units from complex-valued spectra.
result CRBM outperforms conventional methods in speech coding.

New approach estimates personalized treatment effects using surrogate losses.

problem Estimating personalized treatment effects with binary outcomes and limited data.
method Proposes surrogate loss functions that incorporate both treatment and control data.
result Minimax support vector machine formulation yields tighter bounds.

Can we make Bayesian posterior MCMC sampling more efficient when faced with very large datasets? We argue that computing the likelihood for N datapoints in the Metropolis-Hastings (MH) test to reach a single binary decision is computationally inefficient. We introduce an approximate MH rule based on a sequential hypoth…

2013-04-19abs ↗pdf ↗

Thompson Sampling achieves independent regret bounds for logistic bandits.

problem Achieving optimal regret bounds for logistic bandits with binary rewards.
method Thompson Sampling applied to logistic bandits with binary rewards.
result Thompson Sampling achieves ildeO(dT) ilde{O}(d\sqrt{T}) regret bound for identical action and coefficient sets.

This paper resolves BIHT convergence, showing normalization is not necessary in noiseless settings but crucial for robustness.

problem Analyzing convergence and robustness of BIHT for 1-bit compressed sensing.
method Characterizes BIHT convergence and robustness, proving necessity of normalization for robustness under sign corruptions.
result Per-iteration normalization is not necessary for optimal recovery in noiseless settings but is crucial for robustness under sign corruptions.

DNPUs improve neural network performance with high-capacity nanoelectronic nodes.

problem Limited performance of single DNPUs in solving complex classification problems.
method Developed DNPUs as high-capacity neurons and implemented multi-DNPU networks.
result Feed-forward DNPU networks improve single DNPU performance from 77% to 94% test accuracy.

Improves classifier evaluation by aligning with Total Classification Cost.

problem Lack of consensus on evaluation metrics and class imbalance issues.
method Introduces Weighted Accuracy (WA) and a reweighting framework for cost-sensitive scenarios.
result WA aligns with Total Classification Cost (TCC) minimization under realistic conditions.

Methods from convex optimization are widely used as building blocks for deep learning algorithms. However, the reasons for their empirical success are unclear, since modern convolutional networks (convnets), incorporating rectifier units and max-pooling, are neither smooth nor convex. Standard guarantees therefore do n…

2016-04-07abs ↗pdf ↗

Paper tackles learning ReLU networks for binary classification with linearly separable data.

problem Learning two-layer ReLU networks for binary classification with linearly separable data.
method Stochastic gradient descent (SGD) algorithm with random noise perturbation.
result Proves global optimality of SGD for training any single-hidden-layer ReLU network.