Abstract

Many factors affect eukaryotic gene expression. Transcription factors, histone codes, DNA folding, and noncoding RNA modulate expression. Those factors interact in large, broadly connected regulatory control networks. An engineer following classical principles of control theory would design a simpler regulatory network. Why are genomes overwired? Neutrality or enhanced robustness may lead to the accumulation of additional factors that complicate network architecture. Dynamics progresses like a ratchet. New factors get added. Genomes adapt to the additional complexity. The newly added factors can no longer be removed without significant loss of fitness. Alternatively, highly wired genomes may be more malleable. In large networks, most genomic variants tend to have a relatively small effect on gene expression and trait values. Many small effects lead to a smooth gradient, in which traits may change steadily with respect to underlying regulatory changes. A smooth gradient may provide a continuous path from a starting point up to the highest peak of performance. A potential path of increasing performance promotes adaptability and learning. Genomes gain by the inductive process of natural selection, a trial and error learning algorithm that discovers general solutions for adapting to environmental challenge. Similarly, deeply and densely connected computational networks gain by various inductive trial and error learning procedures, in which the networks learn to reduce the errors in sequential trials. Overwiring alters the geometry of induction by smoothing the gradient along the inductive pathways of improving performance. Those overwiring benefits for induction apply to both natural biological networks and artificial deep learning networks.

Highlights

  • What determines gene expression? The list keeps growing: transcription factors, methylation, histone codes, DNA folding, intron sequences, RNA splicing, noncoding RNA, and others[1,2].Hundreds of genomic variants affect human traits, such as height[3]

  • We may come to understand the mechanisms that improve performance and smooth gradients in deep learning networks

  • Why do some systems wire along classical deductive lines and other systems overwire? I have argued that overwired systems smooth gradients to allow adjustability and adaptability

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Summary

Introduction

What determines gene expression? The list keeps growing: transcription factors, methylation, histone codes, DNA folding, intron sequences, RNA splicing, noncoding RNA, and others[1,2]. A densely wired regulatory network has many different connections that can alter traits by a small amount Such overwired connectivity allows inputs to modulate expression smoothly. We find a set of small changes in the network parameters that would have yielded a small reduction in the error distance By following this gradient of improving performance, the network may learn from experience. Trial and error has shown certain functions to work well Most likely, those successful functions enhance the breadth of pathways that can adjust by small amounts in response to new information, again smoothing the gradient. We may come to understand the mechanisms that improve performance and smooth gradients in deep learning networks. I have argued that overwired systems smooth gradients to allow adjustability and adaptability Put another way, such networks can change in response to experience. What sorts of environmental challenges The funders had no role in study design, data collection and favor classically deductive wiring? What sorts of challenges favor analysis, decision to publish, or preparation of the manuscript

15. Alon U: An Introduction to Systems Biology
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