生体情報処理の高度化には“跳躍”がある――リソース制約が最適情報処理の不連続な転移を生むことを理論的に解明――

2026-07-30 東京大学

東京大学と理化学研究所の研究グループは、生物が限られたエネルギーや信頼性などのリソースの下で最適な情報処理を行う仕組みを解析する新たな数理理論を構築し、利用可能なリソースの変化に応じて最適な情報処理戦略が連続的ではなく「跳躍的(相転移的)」に切り替わることを理論的に明らかにした。解析では、リソースが少ない場合は現在の観測だけを用いる単純な推定戦略が最適である一方、一定の閾値を超えると過去の情報を記憶・活用する複雑な戦略へと不連続に転移することを示した。また、リソースが増えても必ずしも情報処理が複雑化するとは限らず、条件によってはより単純な戦略へ戻る場合もあることを見いだした。本成果は、生体知能の進化や脳の高度な情報処理の形成原理を理解するための理論基盤となるとともに、エネルギーやメモリー制約を考慮した次世代AIやロボットの効率的な設計への応用が期待される。

生体情報処理の高度化には“跳躍”がある――リソース制約が最適情報処理の不連続な転移を生むことを理論的に解明――

利用可能なリソースの変化による生体情報処理の最適戦略の変化

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資源量に起因する推定戦略における相転移の理論的分析 Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies

Takehiro Tottor and Tetsuya J. Kobayashi

Physical Review Letters  Published: 28 July, 2026

DOI: https://doi.org/10.1103/5ynb-7k4v

Abstract

Organisms adapt to volatile environments by integrating sensory information with internal memory, yet their information processing is constrained by resource limitations. Such limitations can fundamentally alter optimal estimation strategies in biological systems. For example, recent experiments suggest that organisms exhibit phase transitions between memoryless and memory-based estimation strategies depending on energy availability and sensory reliability. However, a theoretical understanding of how resource limitations induce these transitions is still missing. This Letter presents an analytical characterization of the resource-induced phase transitions in optimal estimation strategies. Our results identify the conditions under which resource limitations alter estimation strategies and analytically reveal the mechanism underlying the emergence of discontinuous, nonmonotonic, and scaling behaviors. These results provide a theoretical foundation for understanding how limited resources shape information processing in biological systems.


資源の制約は生物学的情報処理における相転移を引き起こす Resource limitations induce phase transitions in biological information processing

Takehiro Tottori and Tetsuya J. Kobayashi

Physical Review Research  Published: 14 October, 2025

DOI: https://doi.org/10.1103/nz4j-tyv1

Abstract

Biological information processing exhibits remarkable diversity across different organisms, which is presumably shaped by evolutionary optimization under limited resources. Starting from simple memoryless responses, more complex memory-based strategies may have evolved as resources became more available. In this Letter, we investigate minimal models of biological information processing under resource limitations by applying an optimal control technique proposed in [Tottori and Kobayashi, Phys. Rev. Res. 7, 043048 (2025)]. We find that resource limitations such as sensing reliability, intrinsic stochasticity, and energy cost induce discontinuous phase transitions between memoryless and memory-based strategies, even though the minimal models fall within the standard linear-quadratic-Gaussian class. Moreover, these transitions can be nonmonotonic: Optimal information processing initially shifts from memoryless to memory-based strategies as sensing reliability increases, but then reverts to memoryless strategies if it increases further. Our results suggest that the complexity of biological information processing may be an evolvable trait that can switch back and forth between distinct strategies in a punctuated manner.

1504数理・情報
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