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The sigmoidal tuning curve that maximizes the mutual information for a Poisson neuron, or population of Poisson neurons, is obtained. The optimal tuning curve is found to have a discrete structure that results in a quantization of the input…

Neurons and Cognition · Quantitative Biology 2009-09-24 Alexander P. Nikitin , Nigel G. Stocks , Robert P. Morse , Mark D. McDonnell

Neuroscience has recently made much progress, expanding the complexity of both neural-activity measurements and brain-computational models. However, we lack robust methods for connecting theory and experiment by evaluating our new big…

Quantitative Methods · Quantitative Biology 2023-07-06 Heiko H. Schütt , Alexander D. Kipnis , Jörn Diedrichsen , Nikolaus Kriegeskorte

Decoding behavior, perception, or cognitive state directly from neural signals has applications in brain-computer interface research as well as implications for systems neuroscience. In the last decade, deep learning has become the…

Neurons and Cognition · Quantitative Biology 2020-05-21 Jesse A. Livezey , Joshua I. Glaser

Autonomous neural systems must efficiently process information in a wide range of novel environments, which may have very different statistical properties. We consider the problem of how to optimally distribute receptors along a…

Neurons and Cognition · Quantitative Biology 2017-04-04 Marc W. Howard , Karthik H. Shankar

Analysing how neural networks represent data features in their activations can help interpret how they perform tasks. Hence, a long line of work has focused on mathematically characterising the geometry of such "neural representations." In…

Machine Learning · Computer Science 2026-02-10 Arthur Pellegrino , Angus Chadwick

Brains and artificial neural networks compute with continuous variables such as object position or stimulus orientation. However, the complex variability in neural responses makes it difficult to link internal representational structure to…

Neurons and Cognition · Quantitative Biology 2026-03-12 Will Slatton , Chi-Ning Chou , SueYeon Chung

Neural population activity in sensory cortex is organized on low-dimensional manifolds, but why such manifolds arise and what determines their geometry remain unclear. We model cortical populations as recurrent circuits driven by…

Neurons and Cognition · Quantitative Biology 2026-04-14 Vikas N. O'Reilly-Shah , Alessandro Maria Selvitella

The predictive power of neural networks often costs model interpretability. Several techniques have been developed for explaining model outputs in terms of input features; however, it is difficult to translate such interpretations into…

Machine Learning · Computer Science 2017-08-17 Benjamin J. Lengerich , Sandeep Konam , Eric P. Xing , Stephanie Rosenthal , Manuela Veloso

Modern artificial neural networks, including convolutional neural networks and vision transformers, have mastered several computer vision tasks, including object recognition. However, there are many significant differences between the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Tiago Oliveira , Tiago Marques , Arlindo L. Oliveira

Despite significant advances in the field of deep learning in applications to various fields, explaining the inner processes of deep learning models remains an important and open question. The purpose of this article is to describe and…

Machine Learning · Computer Science 2022-04-20 German Magai , Anton Ayzenberg

Recent numerical experiments have demonstrated that the choice of optimization geometry used during training can impact generalization performance when learning expressive nonlinear model classes such as deep neural networks. These…

Machine Learning · Computer Science 2022-04-25 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

Sensory perception originates from the responses of sensory neurons, which react to a collection of sensory signals linked to various physical attributes of a singular perceptual object. Unraveling how the brain extracts perceptual…

Neurons and Cognition · Quantitative Biology 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Jianfeng Feng

Neural Radiance Fields (NeRF) have achieved remarkable progress in neural rendering. Extracting geometry from NeRF typically relies on the Marching Cubes algorithm, which uses a hand-crafted threshold to define the level set. However, this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Yi Gu , Zhaorui Wang , Dongjun Ye , Renjing Xu

Active soft bodies can affect their shape through an internal actuation mechanism that induces a deformation. Similar to recent work, this paper utilizes a differentiable, quasi-static, and physics-based simulation layer to optimize for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Lingchen Yang , Byungsoo Kim , Gaspard Zoss , Baran Gözcü , Markus Gross , Barbara Solenthaler

The human brain represents objects in a way that is both invariant across instances and flexible enough to support different contexts and tasks. Yet it remains unknown how object representations are dynamically remapped as the same object…

Neurons and Cognition · Quantitative Biology 2026-05-27 Julien Dirani , Shankar Chawla , Leila Wehbe , Bradford Z. Mahon

Neural decoding may be formulated as dynamic state estimation (filtering) based on point process observations, a generally intractable problem. Numerical sampling techniques are often practically useful for the decoding of real neural data.…

Neurons and Cognition · Quantitative Biology 2019-01-15 Yuval Harel , Ron Meir , Manfred Opper

There are two major questions that neuroimaging studies attempt to answer: First, how are sensory stimuli represented in the brain (which we term the stimulus-based setting)? And, second, how does the brain generate cognition (termed the…

Neurons and Cognition · Quantitative Biology 2017-05-01 Sebastian Weichwald , Moritz Grosse-Wentrup

Backpropagation-optimized artificial neural networks, while precise, lack robustness, leading to unforeseen behaviors that affect their safety. Biological neural systems do solve some of these issues already. Unlike artificial models,…

Neural and Evolutionary Computing · Computer Science 2025-02-04 Konstantin Holzhausen , Mia Merlid , Håkon Olav Torvik , Anders Malthe-Sørenssen , Mikkel Elle Lepperød

We have developed an efficient information-maximization method for computing the optimal shapes of tuning curves of sensory neurons by optimizing the parameters of the underlying feedforward network model. When applied to the problem of…

Information Theory · Computer Science 2017-02-03 Wentao Huang , Xin Huang , Kechen Zhang

Visual representations can be defined as the activations of neuronal populations in response to images. The activation of a neuron as a function over all image space has been described as a "tuning landscape". As a function over a…

Neurons and Cognition · Quantitative Biology 2022-12-29 Binxu Wang , Carlos R. Ponce