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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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3627241,0851,447 · Jun 202019922001200920182026
48 results for training problems

Adversarial training improves linear regression solutions, revealing sparsity and abrupt interpolation.

problem Adversarial attacks on linear regression models.
method Formulated as a convex problem, adversarial training is used to find robust solutions that are sparse and interpolate data.
result Adversarial training with small disturbances gives the solution with the minimum-norm that interpolates the training data, revealing abrupt transition into interpolation.

Paper trains multi-layer SNNs using NormAD for spatio-temporal error backpropagation.

problem Training multi-layer SNNs with non-linear integrate-and-fire dynamics.
method Formulates training as optimization, uses NormAD for iterative synaptic weight update.
result Validated on 2- and 3-layer SNNs solving spike-based XOR and generic problems.

This work proposes a new adversarial training method based on L2L framework.

problem Training robust neural networks against adversarial attacks.
method Generic learning-to-learn (L2L) framework to learn an optimizer and a robust classifier.
result L2L outperforms existing adversarial training methods in classification accuracy and computational efficiency.

The paper develops an algorithm to select a subset of training data for efficient regression models.

problem Designing an efficient algorithm for selecting a subset of training data to train regression models quickly without sacrificing accuracy.
method The paper tackles this problem by formulating it as a minimization of training loss with respect to both trainable parameters and subset of training data, subject to error bounds on the validation set. They use a novel problem formulation and represent it with simplified constraints using the dual of the original training problem. They then develop SELCON, an efficient majorization-minimization algorithm for data subset selection, which admits an approximation guarantee.
result The experiments show that SELCON trades off accuracy and efficiency more effectively than the current state-of-the-art.

Paper proposes DSP to accelerate deep learning model training by addressing locking and straggler problems.

problem Training deep neural networks is slow and inefficient due to locking and straggler issues.
method Layer-wise Staleness and DSP algorithm to handle locking and straggler problems.
result DSP achieves significant training speedup with stronger robustness than compared methods.

This paper explores how train-validation splits help in NAS to prevent overfitting.

problem NAS overfits with train-validation splits and needs better generalization guarantees.
method Established refined properties of validation loss and risk for NAS.
result NAS with train-validation splits can select the most generalizable model.

This paper uses QUBO to train machine learning models on quantum computers.

problem Efficiently training machine learning models on quantum computers.
method Formulated three machine learning models (linear regression, SVM, k-means) as QUBO problems.
result Formulations are more efficient or equivalent in time and space complexity to classical methods.

Optimizes deep learning training by treating it as an optimal control problem.

problem Fragility of deep neural networks to adversarial inputs.
method Formulates adversarial training as a min-max optimization problem and interprets it as an optimal control problem.
result Provides the first convergence analysis of adversarial training algorithm.

Study proves existence of robust classifiers in multiclass adversarial training.

problem Proves existence of robust classifiers in multiclass adversarial training.
method Three models of adversarial training in multiclass classification, proving existence of Borel measurable robust classifiers.
result Proves existence of Borel measurable robust classifiers in each model.

Study stabilizes adversarial training in neural networks over infinite-dimensional spaces.

problem Stability issues in adversarial training of neural networks.
method Functional analysis of minimax optimization over infinite-dimensional spaces of continuous functions and probability measures.
result Convergence property of minimax problems under certain conditions, interpreted as stabilization techniques.

Graph Pointer Networks and hierarchical reinforcement learning solve combinatorial optimization problems like TSP.

problem Traveling Salesman Problem (TSP) with constraints.
method Graph Pointer Networks (GPNs) and hierarchical reinforcement learning.
result GPNs and hierarchical RL find optimal solutions for TSP and TSP with time windows.

New methods reduce communication in distributed training for variational inequalities.

problem Reducing communication in distributed training for high-dimensional models.
method Distributed methods with compressed communication for solving variational inequalities.
result Theoretical guarantees and practical algorithms for compressed communication.

The empirical NTK diverges from the NTK in classification problems during overtraining.

problem The divergence of empirical NTK from NTK in classification problems during overtraining.
method Demonstrated strictly positive definiteness of NTKs for FCNs and ResNets. Proved divergence of neural network parameters during training with cross-entropy loss.
result The empirical NTK does not uniformly converge to the NTK across all times on the training samples as the network width increases.

We learn a compact surrogate model for optimization problems to reduce training and inference time.

problem Solving optimization problems with unknown parameters is computationally expensive and may lead to suboptimal solutions.
method We represent the optimization problem in terms of meta-variables and learn a low-dimensional surrogate model end-to-end with the predictive model.
result We achieve a large reduction in training and inference time, and improved performance.

Paper proposes a new method for training small models on regression problems.

problem Training small models for regression problems with noisy labels.
method Developed a new loss function and a multi-task network approach.
result Improved model accuracy on various datasets, consistent across different levels of annotation errors.

We present an end-to-end framework for solving the Vehicle Routing Problem (VRP) using reinforcement learning. In this approach, we train a single model that finds near-optimal solutions for problem instances sampled from a given distribution, only by observing the reward signals and following feasibility rules. Our mo…

2018-02-12abs ↗pdf ↗

In this paper, we study the generative models of sequential discrete data. To tackle the exposure bias problem inherent in maximum likelihood estimation (MLE), generative adversarial networks (GANs) are introduced to penalize the unrealistic generated samples. To exploit the supervision signal from the discriminator, m…

2018-04-11abs ↗pdf ↗

Langevin algorithms enhance training of deep neural networks for stochastic control problems.

problem Training acceleration for deep neural networks in stochastic control problems.
method Application of Langevin algorithms to minimize the loss of deep neural networks in stochastic control problems.
result Langevin algorithms improve training on various stochastic control problems.

Prob2Vec embeds problems for adaptive tutoring, achieving high similarity accuracy.

problem Retrieve problems with similar mathematical concepts for adaptive tutoring.
method Hierarchical problem embedding algorithm (Prob2Vec) combining abstraction and embedding steps.
result 96.88% accuracy on problem similarity test, significantly outperforming state-of-the-art sentence embedding methods.

The time complexity of support vector machines (SVMs) prohibits training on huge data sets with millions of data points. Recently, multilevel approaches to train SVMs have been developed to allow for time-efficient training on huge data sets. While regular SVMs perform the entire training in one -- time consuming -- op…

2018-08-20abs ↗pdf ↗

Efficient deep learning on exascale supercomputers solves materials imaging inverse problems.

problem Solving scientific inverse problems in materials imaging using deep learning.
method Novel communication strategies in synchronous distributed deep learning, including decentralized gradient reduction and computational graph-aware grouping.
result Achieved near-linear scaling of distributed training up to 27,600 GPUs on Summit, reaching 2.15(4) EFLOPS16_{16}.

Ripple Walk Training tackles graph neural network training issues for large and deep graphs.

problem Neighbors explosion, node dependence, and oversmoothing in large and deep GNNs.
method Subgraph-based training framework with Ripple Walk Sampler for high-quality subgraph sampling.
result RWT improves training efficiency and reduces space complexity for deep and large GNNs.

Paper improves adversarial training using a learned optimizer.

problem Improving robustness of deep learning models against adversarial attacks.
method Empirically identified PGD attack's limitations and used a learning-to-learn framework to train an adaptive inner optimizer.
result The proposed framework consistently improves model robustness over traditional adversarial training methods.

We consider the problem of training generative models with a Generative Adversarial Network (GAN). Although GANs can accurately model complex distributions, they are known to be difficult to train due to instabilities caused by a difficult minimax optimization problem. In this paper, we view the problem of training GAN…

2017-06-10abs ↗pdf ↗

Learning to Optimize is a recently proposed framework for learning optimization algorithms using reinforcement learning. In this paper, we explore learning an optimization algorithm for training shallow neural nets. Such high-dimensional stochastic optimization problems present interesting challenges for existing reinf…

2017-03-01abs ↗pdf ↗