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This paper presents a constrained policy gradient algorithm. We introduce constraints for safe learning with the following steps. First, learning is slowed down (lazy learning) so that the episodic policy change can be computed with the…

Machine Learning · Computer Science 2022-01-24 Balázs Varga , Balázs Kulcsár , Morteza Haghir Chehreghani

Our theoretical understanding of neural networks is lagging behind their empirical success. One of the important unexplained phenomena is why and how, during the process of training with gradient descent, the theoretical capacity of neural…

Machine Learning · Computer Science 2026-05-08 Hannah Pinson

We develop a method for training neural networks on Boolean data in which the values at all nodes are strictly $\pm 1$, and the resulting models are typically equivalent to networks whose nonzero weights are also $\pm 1$. The method…

Machine Learning · Computer Science 2026-02-20 Veit Elser , Manish Krishan Lal

Neural scaling laws describe how the performance of deep neural networks scales with key factors such as training data size, model complexity, and training time, often following power-law behaviors over multiple orders of magnitude. Despite…

Machine Learning · Statistics 2024-10-14 Roman Worschech , Bernd Rosenow

We show that many machine-learning algorithms are specific instances of a single algorithm called the \emph{Bayesian learning rule}. The rule, derived from Bayesian principles, yields a wide-range of algorithms from fields such as…

Machine Learning · Statistics 2024-06-11 Mohammad Emtiyaz Khan , Håvard Rue

Network pruning is used to reduce inference latency and power consumption in large neural networks. However, most current pruning methods rely on ad-hoc heuristics that are poorly understood. We introduce Hyperflux, a conceptually-grounded…

Machine Learning · Statistics 2025-10-30 Eugen Barbulescu , Antonio Alexoaie , Lucian Busoniu

A point-to-point wireless communication system in which the transmitter is equipped with an energy harvesting device and a rechargeable battery, is studied. Both the energy and the data arrivals at the transmitter are modeled as Markov…

Machine Learning · Computer Science 2013-05-31 Pol Blasco , Deniz Gündüz , Mischa Dohler

Biological neural networks learn complex behaviors from sparse, delayed feedback using local synaptic plasticity, yet the mechanisms enabling structured credit assignment remain elusive. In contrast, artificial recurrent networks solving…

Neurons and Cognition · Quantitative Biology 2025-12-12 Dimitra Maoutsa

Local learning rules in biological neural networks (BNNs) are commonly referred to as Hebbian learning. [26] links a biologically motivated Hebbian learning rule to a specific zeroth-order optimization method. In this work, we study a…

Statistics Theory · Mathematics 2023-11-08 Johannes Schmidt-Hieber , Wouter M Koolen

The time evolution of an exactly solvable layered feedforward neural network with three-state neurons and optimizing the mutual information is studied for arbitrary synaptic noise (temperature). Detailed stationary temperature-capacity and…

Disordered Systems and Neural Networks · Physics 2012-08-27 D. Bolle , R. Erichsen, , W. K. Theumann

For a given distribution, learning algorithm, and performance metric, the rate of convergence (or data-scaling law) is the asymptotic behavior of the algorithm's test performance as a function of number of train samples. Many learning…

Machine Learning · Computer Science 2021-11-10 Preetum Nakkiran

This paper considers the design of optimal resource allocation policies in wireless communication systems which are generically modeled as a functional optimization problem with stochastic constraints. These optimization problems have the…

Machine Learning · Computer Science 2022-02-08 Mark Eisen , Clark Zhang , Luiz F. O. Chamon , Daniel D. Lee , Alejandro Ribeiro

Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

Optimization results are one method for understanding neural computation from Nature's perspective and for defining the physical limits on neuron-like engineering. Earlier work looks at individual properties or performance criteria and…

Neurons and Cognition · Quantitative Biology 2017-12-21 William B Levy , Toby Berger , Mustafa Sungkar

In this work, we propose a distributed adaptive observer for a class of nonlinear networked systems inspired by biophysical neural network models. Neural systems learn by adjusting intrinsic and synaptic weights in a distributed fashion,…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Thiago B. Burghi , Timothy O'Leary , Rodolphe Sepulchre

Backpropagation (BP) has been pivotal in advancing machine learning and remains essential in computational applications and comparative studies of biological and artificial neural networks. Despite its widespread use, the implementation of…

Neurons and Cognition · Quantitative Biology 2025-04-15 Xinhao Fan , Shreesh P Mysore

Energy efficiency is gaining importance in wireless communication networks which have nodes with limited energy supply and signal processing capabilities. We present a numerical study of cooperative communication scenarios based on simple…

Networking and Internet Architecture · Computer Science 2014-11-27 Andrej Gajduk , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

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

The neocortex, a complex system driving multi-region interactions, remains a core puzzle in neuroscience. Despite quantitative insights across brain scales, understanding the mechanisms underlying neural activities is challenging. Advances…

Neurons and Cognition · Quantitative Biology 2024-11-27 Xiaochen Wang , Yuxuan Wu , Feng Zhang , Jin Wang

Recent experimental and theoretical studies show that energy efficiency, which measures the amount of information processed by a neuron with per unit of energy consumption, plays an important role in the evolution of neural systems. Here,…

Biological Physics · Physics 2019-11-22 Long-Fei Wang , Fei Jia , Xiao-Zhi Liu , Ya-lei Song , Lian-Chun Yu