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The growing capacity of neural networks has strongly contributed to their success at complex machine learning tasks and the computational demand of such large models has, in turn, stimulated a significant improvement in the hardware…

Machine Learning · Computer Science 2021-04-27 Mohammed Amer , Tomás Maul , Iman Yi Liao

We suggest a general approach to quantification of different forms of aleatoric uncertainty in regression tasks performed by artificial neural networks. It is based on the simultaneous training of two neural networks with a joint loss…

Machine Learning · Statistics 2018-09-05 Pavel Gurevich , Hannes Stuke

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

Disordered Systems and Neural Networks · Physics 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

The influence of deep learning is continuously expanding across different domains, and its new applications are ubiquitous. The question of neural network design thus increases in importance, as traditional empirical approaches are reaching…

Neural and Evolutionary Computing · Computer Science 2021-01-29 Anton Muravev , Jenni Raitoharju , Moncef Gabbouj

Combining additive models and neural networks allows to broaden the scope of statistical regression and extend deep learning-based approaches by interpretable structured additive predictors at the same time. Existing attempts uniting the…

Machine Learning · Statistics 2022-07-12 David Rügamer , Chris Kolb , Nadja Klein

We study the training of deep neural networks by gradient descent where floating-point arithmetic is used to compute the gradients. In this framework and under realistic assumptions, we demonstrate that it is highly unlikely to find ReLU…

Machine Learning · Computer Science 2023-11-16 Clemens Karner , Vladimir Kazeev , Philipp Christian Petersen

The use of numerical uncertainty representations allows better modeling of some aspects of human evidential reasoning. It also makes knowledge acquisition and system development, test, and modification more difficult. We propose that where…

Artificial Intelligence · Computer Science 2013-04-11 Richard A. Caruana

Machine learning algorithms, especially Neural Networks (NNs), are a valuable tool used to approximate non-linear relationships, like the AC-Optimal Power Flow (AC-OPF), with considerable accuracy -- and achieving a speedup of several…

Machine Learning · Computer Science 2023-03-24 Rahul Nellikkath , Spyros Chatzivasileiadis

Discrete-choice models are used in economics, marketing and revenue management to predict customer purchase probabilities, say as a function of prices and other features of the offered assortment. While they have been shown to be…

Artificial Intelligence · Computer Science 2023-08-11 Hanzhao Wang , Zhongze Cai , Xiaocheng Li , Kalyan Talluri

The machine learning literature contains several constructions for prediction intervals that are intuitively reasonable but ultimately ad-hoc in that they do not come with provable performance guarantees. We present methods from the…

Machine Learning · Statistics 2020-02-25 Danijel Kivaranovic , Kory D. Johnson , Hannes Leeb

For Deep Neural Networks (DNNs) to become useful in safety-critical applications, such as self-driving cars and disease diagnosis, they must be stable to perturbations in input and model parameters. Characterizing the sensitivity of a DNN…

Machine Learning · Computer Science 2023-07-25 Naman Maheshwari , Nicholas Malaya , Scott Moe , Jaydeep P. Kulkarni , Sudhanva Gurumurthi

For efficient neural network inference, it is desirable to achieve state-of-the-art accuracy with the simplest networks requiring the least computation, memory, and power. Quantizing networks to lower precision is a powerful technique for…

Machine Learning · Computer Science 2024-01-12 Deepika Bablani , Jeffrey L. Mckinstry , Steven K. Esser , Rathinakumar Appuswamy , Dharmendra S. Modha

Data is scaling exponentially in fields ranging from genomics to neuroscience to economics. A central question is: can modern machine learning methods be applied to construct predictive models of natural systems like cells and brains based…

Statistical Mechanics · Physics 2018-08-17 Audrey Huang , Benjamin Sheldan , David A. Sivak , Matt Thomson

How much can pruning algorithms teach us about the fundamentals of learning representations in neural networks? And how much can these fundamentals help while devising new pruning techniques? A lot, it turns out. Neural network pruning has…

Neural and Evolutionary Computing · Computer Science 2017-11-28 Aditya Sharma , Nikolas Wolfe , Bhiksha Raj

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely…

Adaptation and Self-Organizing Systems · Physics 2019-07-02 Rok Cestnik , Markus Abel

Artificial networks have been studied through the prism of statistical mechanics as disordered systems since the 80s, starting from the simple models of Hopfield's associative memory and the single-neuron perceptron classifier. Assuming…

Disordered Systems and Neural Networks · Physics 2023-04-14 Marylou Gabrié , Surya Ganguli , Carlo Lucibello , Riccardo Zecchina

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

Machine Learning · Statistics 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

We present an approach to adaptively utilize deep neural networks in order to reduce the evaluation time on new examples without loss of accuracy. Rather than attempting to redesign or approximate existing networks, we propose two schemes…

Machine Learning · Computer Science 2017-09-20 Tolga Bolukbasi , Joseph Wang , Ofer Dekel , Venkatesh Saligrama

Despite evidence for the existence of engrams as memory support structures in our brains, there is no consensus framework in neuroscience as to what their physical implementation might be. Here we propose how we might design a computer…

Neurons and Cognition · Quantitative Biology 2023-03-03 Jesus Marco de Lucas

Deep learning harnesses massive parallel floating-point processing to train and evaluate large neural networks. Trends indicate that deeper and larger neural networks with an increasing number of parameters achieve higher accuracy than…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Brad Larson , Bishal Upadhyaya , Luke McDermott , Siddha Ganju