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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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2615217821,042 · Jun 202019922001200920172026
48 results for DNN generalization

DNNs improve accuracy by using more evidence from images.

problem Understanding why DNNs generalize well and improving model selection metrics.
method Minimal sufficient views (MSVs) to identify key evidence regions in images.
result DNNs with more evidence regions in images have higher generalization performance.

Paper proposes a new confidence dimension to measure DNN generalization.

problem Measuring the generalization ability of deep neural networks is challenging.
method Introduces confidence dimension (CD) based on Hoeffding's inequality and VC-dimension.
result CD provides a feasible framework to calculate the upper bound of generalization.

This paper improves DNN generalization by accurately estimating mutual information.

problem Intractability of estimating mutual information in DNNs.
method Introduces a probabilistic representation of DNNs to accurately estimate mutual information.
result Derives a tighter generalization bound than previous relaxations.

Deep Neural Network (DNN) acoustic models have yielded many state-of-the-art results in Automatic Speech Recognition (ASR) tasks. More recently, Recurrent Neural Network (RNN) models have been shown to outperform DNNs counterparts. However, state-of-the-art DNN and RNN models tend to be impractical to deploy on embedde…

2015-04-07abs ↗pdf ↗

Why deep neural networks (DNNs) capable of overfitting often generalize well in practice is a mystery [#zhang2016understanding]. To find a potential mechanism, we focus on the study of implicit biases underlying the training process of DNNs. In this work, for both real and synthetic datasets, we empirically find that a…

2018-07-03abs ↗pdf ↗

We present a novel deep Recurrent Neural Network (RNN) model for acoustic modelling in Automatic Speech Recognition (ASR). We term our contribution as a TC-DNN-BLSTM-DNN model, the model combines a Deep Neural Network (DNN) with Time Convolution (TC), followed by a Bidirectional Long Short-Term Memory (BLSTM), and a fi…

2015-04-07abs ↗pdf ↗

Along with fruitful applications of Deep Neural Networks (DNNs) to realistic problems, recently, some empirical studies of DNNs reported a universal phenomenon of Frequency Principle (F-Principle): a DNN tends to learn a target function from low to high frequencies during the training. The F-Principle has been very use…

2019-06-21abs ↗pdf ↗

The paper develops generalization bounds for deep compound Gaussian neural networks.

problem Developing theoretical guarantees for the performance of deep neural networks.
method Novel generalization error bounds using a compound Gaussian prior and Dudley's integral.
result Theoretical bounds show generalization error scales O(nln(n))\mathcal{O}(n\sqrt{\ln(n)}) in signal dimension and O((NetworkSize)3/2)\mathcal{O}((Network Size)^{3/2}) in network size.

We theoretically discuss why deep neural networks (DNNs) performs better than other models in some cases by investigating statistical properties of DNNs for non-smooth functions. While DNNs have empirically shown higher performance than other standard methods, understanding its mechanism is still a challenging problem.…

2018-02-13abs ↗pdf ↗

Survey connects three DNN generalization fields for better inference.

problem Assessing if DNNs generalize correctly at inference time.
method Investigates predictive uncertainty, out-of-distribution, and adversarial example detection.
result Connects three fields for better DNN inference.

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2018-09-14abs ↗pdf ↗

Deep neural networks can generalize by reducing high-frequency noise over time, not always following a monotonic learning bias.

problem Understanding the learning dynamics and generalization of over-parameterized DNNs.
method Experimental analysis of deep double descent, focusing on the spectral bias of DNNs.
result The high-frequency components of DNNs diminish over training, leading to a second descent in test error.

Deep neural networks (DNNs) are now a central component of nearly all state-of-the-art speech recognition systems. Building neural network acoustic models requires several design decisions including network architecture, size, and training loss function. This paper offers an empirical investigation on which aspects of …

2014-06-30abs ↗pdf ↗

Recent explainability related studies have shown that state-of-the-art DNNs do not always adopt correct evidences to make decisions. It not only hampers their generalization but also makes them less likely to be trusted by end-users. In pursuit of developing more credible DNNs, in this paper we propose CREX, which enco…

2019-08-13abs ↗pdf ↗

Embedding principle explains loss landscape of deep neural networks.

problem Understanding the structure of loss landscapes in deep neural networks.
method Proposed an embedding principle that critical points of narrower DNNs can be embedded to critical points of wider DNNs.
result Wide DNNs are often attracted by highly-degenerate critical points embedded from narrower DNNs.

In recent studies, several asymptotic upper bounds on generalization errors on deep neural networks (DNNs) are theoretically derived. These bounds are functions of several norms of weights of the DNNs, such as the Frobenius and spectral norms, and they are computed for weights grouped according to either input and outp…

2019-05-22abs ↗pdf ↗

In this work, we introduce a novel probabilistic representation of deep learning, which provides an explicit explanation for the Deep Neural Networks (DNNs) in three aspects: (i) neurons define the energy of a Gibbs distribution; (ii) the hidden layers of DNNs formulate Gibbs distributions; and (iii) the whole architec…

2019-08-26abs ↗pdf ↗

The paper develops adaptive deep learning methods for nonlinear time series models.

problem Estimating mean functions of non-stationary and nonlinear time series models.
method Develops non-penalized and sparse-penalized DNN estimators for general non-stationary time series, derives minimax lower bounds, and shows the sparse-penalized DNN estimator is adaptive and optimal.
result Sparse-penalized DNN estimator achieves minimax optimal rates for many nonlinear AR models.

GBML with deep nets converges globally and generalizes well.

problem Theoretical guarantees for few-shot learning with deep nets.
method Proving global convergence and generalization bounds for GBML with over-parameterized DNNs.
result GBML with over-parameterized DNNs converges globally to the optimum at a linear rate and achieves good generalization.

slimTrain simplifies DNN training by separating features and adapting hyperparameters.

problem Challenges in training deep neural networks, including non-convexity, non-smoothness, and hyperparameter sensitivity.
method slimTrain exploits separability in DNN architectures to reduce hyperparameter sensitivity and improve convergence.
result slimTrain outperforms existing methods with recommended hyperparameters and reduces sensitivity to remaining hyperparameters.

Paper improves DNN accelerator robustness against bit errors with energy savings.

problem Bit errors in quantized DNN weights reduce energy efficiency.
method Combines robust fixed-point quantization, weight clipping, and random bit error training.
result Significantly improves robustness against random bit errors with high energy savings.

Deep neural networks (DNN) are able to successfully process and classify speech utterances. However, understanding the reason behind a classification by DNN is difficult. One such debugging method used with image classification DNNs is activation maximization, which generates example-images that are classified as one o…

2019-07-06abs ↗pdf ↗

Deep Neural Networks (DNNs) are universal function approximators providing state-of- the-art solutions on wide range of applications. Common perceptual tasks such as speech recognition, image classification, and object tracking are now commonly tackled via DNNs. Some fundamental problems remain: (1) the lack of a mathe…

2017-10-25abs ↗pdf ↗

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2019-04-30abs ↗pdf ↗

Deep neural networks (DNNs) have emerged as key enablers of machine learning. Applying larger DNNs to more diverse applications is an important challenge. The computations performed during DNN training and inference are dominated by operations on the weight matrices describing the DNN. As DNNs incorporate more layers a…

2018-07-06abs ↗pdf ↗

Sparse DNNs face scalability issues; MIT/IEEE/Amazon challenge analyzes best solutions.

problem Scalability issues in Sparse Deep Neural Networks (DNNs).
method Mathematically defined DNN inference computation, community submissions from various fields.
result Sparse DNN execution time, TmDNNT_{ m DNN}, is strongly dependent on the number of operations, NmopN_{ m op}.

The paper defines and analyzes feature complexity in DNNs, proposing metrics for feature disentanglement and evaluation.

problem Understanding and quantifying the complexity of features learned by deep neural networks.
method Proposes a definition and disentanglement of feature complexity orders, introduces metrics for reliability and over-fitting evaluation.
result Establishes a relationship between feature complexity and DNN performance, and proposes a generic mathematical tool for network compression and knowledge distillation.

Deep neural networks outperform other methods in estimating non-smooth functions with singularities.

problem Estimating functions with singularities on hypersurfaces.
method Developed a minimax rate analysis for DNNs, proving their almost optimal convergence rate.
result DNNs outperform other estimators in estimating non-smooth functions with singularities.

To help understand the underlying mechanisms of neural networks (NNs), several groups have, in recent years, studied the number of linear regions \ell of piecewise linear functions generated by deep neural networks (DNN). In particular, they showed that \ell can grow exponentially with the number of network paramet…

2019-05-27abs ↗pdf ↗

DNNs improve localization from channel estimates, overcoming practical impairments.

problem Improving localization accuracy from channel estimates in Massive MIMO systems.
method Principled feature design for DNNs invariant to practical impairments.
result DNN achieves high localization accuracy and generalization capability.

The tremendous recent success of deep neural networks (DNNs) has sparked a surge of interest in understanding their predictive ability. Unlike the human visual system which is able to generalize robustly and learn with little supervision, DNNs normally require a massive amount of data to learn new concepts. In addition…

2019-11-14abs ↗pdf ↗

Deep networks can be understood as logical circuits, improving interpretability and generalization.

problem Lack of interpretability in deep neural networks.
method Hierarchical decomposition of DNN discrete classification map into logical combinations of intermediate classifiers.
result Deep networks can be interpreted as logical circuits with improved generalization.

DNNs generalize object recognition in novel orientations via neurons tuned to common features.

problem Understanding how DNNs generalize to objects in novel orientations.
method Training DNNs with familiar objects from multiple viewpoints and analyzing neuron responses.
result DNNs disseminate orientation-invariance from familiar objects to recognize objects in novel orientations.

The lack of mathematical tractability of Deep Neural Networks (DNNs) has hindered progress towards having a unified convergence analysis of training algorithms, in the general setting. We propose a unified optimization framework for training different types of DNNs, and establish its convergence for arbitrary loss, act…

2018-05-23abs ↗pdf ↗