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Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

Guiding behavior requires the brain to make predictions about future sensory inputs. Here we show that efficient predictive computation starts at the earliest stages of the visual system. We estimate how much information groups of retinal…

Neurons and Cognition · Quantitative Biology 2013-07-02 Stephanie E. Palmer , Olivier Marre , Michael J. Berry , William Bialek

We develop a novel framework for costly information acquisition in which a decision-maker learns about an unobserved state by choosing a signal distribution, with the cost of information determined by the distribution of noise in the…

Theoretical Economics · Economics 2025-03-27 Peter Achim , Kemal Ozbek

Learning is a complex dynamical process shaped by a range of interconnected decisions. Careful design of hyperparameter schedules for artificial neural networks or efficient allocation of cognitive resources by biological learners can…

Disordered Systems and Neural Networks · Physics 2025-07-11 Francesca Mignacco , Francesco Mori

Predictive coding (PC) is a general theory of cortical function. The local, gradient-based learning rules found in one kind of PC model have recently been shown to closely approximate backpropagation. This finding suggests that this…

Neural and Evolutionary Computing · Computer Science 2021-12-09 Nick Alonso , Emre Neftci

Living cells are continually exposed to environmental signals that vary in time. These signals are detected and processed by biochemical networks, which are often highly stochastic. To understand how cells cope with a fluctuating…

Molecular Networks · Quantitative Biology 2012-06-01 Wiet de Ronde , Filipe Tostevin , Pieter Rein ten Wolde

In this paper, we consider the problem of recovering a graph that represents the statistical data dependency among nodes for a set of data samples generated by nodes, which provides the basic structure to perform an inference task, such as…

Machine Learning · Statistics 2018-05-01 Hyeryung Jang , HyungSeok Song , Yung Yi

While modern machine learning has transformed numerous application domains, its growing computational demands increasingly constrain scalability and efficiency, particularly on embedded and resource-limited platforms. In practice, neural…

Machine Learning · Computer Science 2025-10-30 Bernhard Klein

Biological organisms are open, adaptve systems that can respond to changes in environment in specific ways. Adaptation and response can be posed as an optimization problem, with a tradeoff between the benefit obtained from a response and…

Statistical Mechanics · Physics 2018-10-17 Suman G. Das , Madan Rao , Garud Iyengar

The design of codes for communicating reliably over a statistically well defined channel is an important endeavor involving deep mathematical research and wide-ranging practical applications. In this work, we present the first family of…

Machine Learning · Computer Science 2018-07-03 Hyeji Kim , Yihan Jiang , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

This essay, derived from a lecture at "The Physics Modeling of Thought" workshop in Berlin in winter 2023, explores the mutually beneficial relationship between theoretical neuroscience and statistical physics through the lens of efficient…

Neurons and Cognition · Quantitative Biology 2024-08-06 Jonathan Kadmon

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Many embedded real-time control systems suffer from resource constraints and dynamic workload variations. Although optimal feedback scheduling schemes are in principle capable of maximizing the overall control performance of multitasking…

Other Computer Science · Computer Science 2008-12-18 Feng Xia , Yu-Chu Tian , Youxian Sun , Jinxiang Dong

Thanks to novel, powerful brain activity recording techniques, we can create data-driven models from thousands of recording channels and large portions of the cortex, which can improve our understanding of brain-states neuromodulation and…

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

Optimization and Control · Mathematics 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira

Neural scaling laws establish a predictable relationship between model performance and data or compute, offering crucial guidance for resource allocation in new domains and tasks. Yet such laws are most needed precisely where they are…

Machine Learning · Computer Science 2026-05-11 Xing Han , Ziyin Liu , Suchi Saria , Paul Pu Liang

Dale's principle implies that biological neural networks are composed of neurons that are either excitatory or inhibitory. While the number of possible architectures of such Daleian networks is exponentially smaller than non-Daleian ones,…

Neurons and Cognition · Quantitative Biology 2022-10-13 Adam Haber , Elad Schneidman

The subcortical sensory pathways are the fundamental channels for mapping the outside world to our minds. Sensory pathways efficiently transmit information by adapting neural responses to the local statistics of the sensory input. The…

Neurons and Cognition · Quantitative Biology 2020-03-26 Alejandro Tabas , Glad Mihai , Stefan Kiebel , Robert Trampel , Katharina von Kriegstein

Gaussian channels with memory and with noiseless feedback have been widely studied in the information theory literature. However, a coding scheme to achieve the feedback capacity is not available. In this paper, a coding scheme is proposed…

Information Theory · Computer Science 2007-07-13 Jialing Liu , Nicola Elia

The extraction of signals from noise is a common problem in all areas of science and engineering. A particularly useful version is that of forecasting: determining a causal filter that estimates a future value of a hidden process from past…

Optimization and Control · Mathematics 2026-02-02 Serhii Kryhin , Tatiana Mouzykantskii , Vivishek Sudhir