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Why do neurons encode information the way they do? Normative answers to this question model neural activity as the solution to an optimisation problem; for example, the celebrated efficient coding hypothesis frames neural activity as the…

Neurons and Cognition · Quantitative Biology 2026-03-06 William Dorrell , Peter E. Latham , James Whittington

We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (SNR) and constrained by the permitted minimum mean-square error (MMSE) at lower SNRs. The maximum…

Information Theory · Computer Science 2012-08-10 Ronit Bustin , Shlomo Shamai

Quantum error correction is an essential technique for constructing a scalable quantum computer. In order to implement quantum error correction with near-term quantum devices, a fast and near-optimal decoding method is demanded. A decoder…

Quantum Physics · Physics 2020-09-16 Amarsanaa Davaasuren , Yasunari Suzuki , Keisuke Fujii , Masato Koashi

This paper considers minimum sum mean-squared error (sum-MSE) linear transceiver designs in multiuser downlink systems with imperfect channel state information. Specifically, we derive the optimal energy allocations for training and data…

Information Theory · Computer Science 2010-01-19 Adam J. Tenenbaum , Raviraj S. Adve

Optimal control and sequential decision making are widely used in many complex tasks. Optimal control over a sequence of natural images is a first step towards understanding the role of vision in control. Here, we formalize this problem as…

Machine Learning · Computer Science 2026-05-07 Peter N. Loxley

In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

Machine Learning · Computer Science 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

Machine Learning · Statistics 2016-09-13 Yuval Harel , Ron Meir , Manfred Opper

Convex relaxations of the optimal finger selection algorithm are proposed for a minimum mean square error (MMSE) Rake receiver in an impulse radio ultra-wideband system. First, the optimal finger selection problem is formulated as an…

Information Theory · Computer Science 2016-11-17 Sinan Gezici , Mung Chiang , H. Vincent Poor , Hisashi Kobayashi

Multimodal program synthesis, which leverages different types of user input to synthesize a desired program, is an attractive way to scale program synthesis to challenging settings; however, it requires integrating noisy signals from the…

Computation and Language · Computer Science 2021-09-16 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

A primary challenge in utilizing in-vitro biological neural networks for computations is finding good encoding and decoding schemes for inputting and decoding data to and from the networks. Furthermore, identifying the optimal parameter…

Neurons and Cognition · Quantitative Biology 2024-04-18 Trym A. E. Lindell , Ola H. Ramstad , Ionna Sandvig , Axel Sandvig , Stefano Nichele

Fine-tuning all the layers of a pre-trained neural language encoder (either using all the parameters or using parameter-efficient methods) is often the de-facto way of adapting it to a new task. We show evidence that for different…

Sparse and convolutional constraints form a natural prior for many optimization problems that arise from physical processes. Detecting motifs in speech and musical passages, super-resolving images, compressing videos, and reconstructing…

Computer Vision and Pattern Recognition · Computer Science 2014-06-11 Hilton Bristow , Simon Lucey

We are motivated by problems that arise in a number of applications such as Online Marketing and Explosives detection, where the observations are usually modeled using Poisson statistics. We model each observation as a Poisson random…

Machine Learning · Statistics 2016-06-29 Mohammad H. Rohban , Delaram Motamedvaziri , Venkatesh Saligrama

Computation in the brain involves multiple types of neurons, yet the organizing principles for how these neurons work together remain unclear. Information theory has offered explanations for how different types of neurons can optimize the…

Neurons and Cognition · Quantitative Biology 2015-06-22 David B. Kastner , Stephen A. Baccus , Tatyana O. Sharpee

Instruction tuning improves the ability of large language models (LLMs) to follow diverse human instructions, but achieving strong performance on specific target tasks remains challenging. A critical bottleneck is selecting the most…

Machine Learning · Computer Science 2025-05-19 Da Ma , Gonghu Shang , Zhi Chen , Libo Qin , Yijie Luo , Lei Pan , Shuai Fan , Lu Chen , Kai Yu

The sensory-triggered activity of a neuron is typically characterized in terms of a tuning curve, which describes the neuron's average response as a function of a parameter that characterizes a physical stimulus. What determines the shapes…

Neurons and Cognition · Quantitative Biology 2007-05-23 Emilio Salinas

Formulations of the turbo equalization approach to iterative equalization and decoding vary greatly when channel knowledge is either partially or completely unknown. Maximum aposteriori probability (MAP) and minimum mean square error (MMSE)…

Systems and Control · Computer Science 2012-03-20 Nargiz Kalantarova , Kyeongyeon Kim , Suleyman S. Kozat , Andrew C. Singer

We examine how the prior probability distribution of a sensory variable in the environment influences the optimal allocation of neurons and spikes in a population that represents that variable. We start with a conventional response model,…

Neurons and Cognition · Quantitative Biology 2012-09-25 Deep Ganguli , Eero Simoncelli

We study the convergence rates of the EM algorithm for learning two-component mixed linear regression under all regimes of signal-to-noise ratio (SNR). We resolve a long-standing question that many recent results have attempted to tackle:…

Machine Learning · Statistics 2021-02-08 Jeongyeol Kwon , Nhat Ho , Constantine Caramanis