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Biological neural networks are notoriously hard to model due to their stochastic behavior and high dimensionality. We tackle this problem by constructing a dynamical model of both the expectations and covariances of the fractions of active…

Neurons and Cognition · Quantitative Biology 2025-02-25 Vincent Painchaud , Patrick Desrosiers , Nicolas Doyon

Operating in a dynamic real world environment requires a forward thinking and adversarial aware design for classifiers, beyond fitting the model to the training data. In such scenarios, it is necessary to make classifiers - a) harder to…

Machine Learning · Computer Science 2018-03-28 Tegjyot Singh Sethi , Mehmed Kantardzic , Lingyu Lyua , Jiashun Chen

Stochastic neurons can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such stochastic neurons, i.e.,…

Machine Learning · Computer Science 2013-05-15 Yoshua Bengio

Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and…

Data Analysis, Statistics and Probability · Physics 2016-07-27 Daniel Pumpe , Maksim Greiner , Ewald Müller , Torsten A. Enßlin

We investigate the functioning of a classifying biological neural network from the perspective of statistical learning theory, modelled, in a simplified setting, as a continuous-time stochastic recurrent neural network (RNN) with identity…

Machine Learning · Statistics 2023-09-13 Wiebke Bartolomaeus , Youness Boutaib , Sandra Nestler , Holger Rauhut

Recently, it is observed [Md. Nurujjaman et al, Phy. Rev. E \textbf{80}, 015201 (R) (2009)] that in an excitable system, one can maintain noise induced coherency in the coherence resonance by blocking the destructive effect of the noise on…

Chaotic Dynamics · Physics 2010-03-17 Md. Nurujjaman

Deep neural networks (DNNs) have been widely used in the fields such as natural language processing, computer vision and image recognition. But several studies have been shown that deep neural networks can be easily fooled by artificial…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Long Zhang , Xuechao Sun , Yong Li , Zhenyu Zhang

Deep learning models have been used in creating various effective image classification applications. However, they are vulnerable to adversarial attacks that seek to misguide the models into predicting incorrect classes. Our study of major…

Cryptography and Security · Computer Science 2023-06-02 Mohammed Alkhowaiter , Hisham Kholidy , Mnassar Alyami , Abdulmajeed Alghamdi , Cliff Zou

Machine learning models are now widely deployed in real-world applications. However, the existence of adversarial examples has been long considered a real threat to such models. While numerous defenses aiming to improve the robustness have…

Machine Learning · Computer Science 2021-03-10 Sahar Abdelnabi , Mario Fritz

We study the problem of training machine learning models incrementally with batches of samples annotated with noisy oracles. We select each batch of samples that are important and also diverse via clustering and importance sampling. More…

Machine Learning · Computer Science 2020-10-30 Gaurav Gupta , Anit Kumar Sahu , Wan-Yi Lin

With latent variables, stochastic recurrent models have achieved state-of-the-art performance in modeling sound-wave sequence. However, opposite results are also observed in other domains, where standard recurrent networks often outperform…

Machine Learning · Computer Science 2019-09-17 Zihang Dai , Guokun Lai , Yiming Yang , Shinjae Yoo

Deep learning has emerged as a powerful approach for malware detection, demonstrating impressive accuracy across various data representations. However, these models face critical limitations in real-world, non-stationary environments where…

Cryptography and Security · Computer Science 2026-04-24 Pawan Acharya , Lan Zhang

Cognitive sensing refers to a reconfigurable sensor that dynamically adapts its sensing mechanism by using stochastic control to optimize its sensing resources. For example, cognitive radars are sophisticated dynamical systems; they use…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Vikram Krishnamurthy

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

Machine Learning · Computer Science 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

How can we efficiently propagate uncertainty in a latent state representation with recurrent neural networks? This paper introduces stochastic recurrent neural networks which glue a deterministic recurrent neural network and a state space…

Machine Learning · Statistics 2016-11-15 Marco Fraccaro , Søren Kaae Sønderby , Ulrich Paquet , Ole Winther

Deep Learning based AI systems have shown great promise in various domains such as vision, audio, autonomous systems (vehicles, drones), etc. Recent research on neural networks has shown the susceptibility of deep networks to adversarial…

Machine Learning · Computer Science 2019-11-25 Sambuddha Saha , Aashish Kumar , Pratyush Sahay , George Jose , Srinivas Kruthiventi , Harikrishna Muralidhara

Machine learning can greatly benefit from providing learning algorithms with pairs of contrastive training examples -- typically pairs of instances that differ only slightly, yet have different class labels. Intuitively, the difference in…

Machine Learning · Computer Science 2025-06-23 Farnam Mansouri , Hans U. Simon , Adish Singla , Yuxin Chen , Sandra Zilles

We propose denoising dictionary learning (DDL), a simple yet effective technique as a protection measure against adversarial perturbations. We examined denoising dictionary learning on MNIST and CIFAR10 perturbed under two different…

Machine Learning · Statistics 2018-01-09 John Mitro , Derek Bridge , Steven Prestwich

The qualitative study of dynamical systems using bifurcation theory is key to understanding systems from biological clocks and neurons to physical phase transitions. Data generated from such systems can feature complex transients, an…

Chaotic Dynamics · Physics 2025-09-19 Nicolas Romeo , Chris Chi , Aaron R. Dinner , Elizabeth R. Jerison

Recent studies have shown that neural network (NN) based image classifiers are highly vulnerable to adversarial examples, which poses a threat to security-sensitive image recognition task. Prior work has shown that JPEG compression can…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Cheng Zhang , Pan Gao