Bycelium

Bycelium

Rethink Science with Bayesianism

Dynamics-informed machine learning for recovering extensive missing systems dynamics

Inevitable missing values in observational time series often hinder reliable data-driven modeling of complex systems across diverse domains. Recovery is essential yet challenging, particularly in high-dimensional systems where most variables can exhibit extensive intra-series missingness and widespread inter-variable missingness simultaneously. In this study, we introduce a dynamics-informed imputation framework, termed Full-Partial Reconstruction Mapping (FPRM). In contrast to traditional approaches that directly fit time series interdependences, the FPRM embeds intrinsic dynamical priors via state-space reconstruction and recovers multiple incomplete series by learning diffeomorphic topology between attractors from complete and incomplete data. We validate the FPRM on paradigmatic model systems (e.g., an ecology system, the ordinary Lorenz system, a coupled 120-dimensional (120D) Lorenz system, and a coupled 120D Rössler system and real-world datasets (e.g., road occupancy rate from transportation system, electroencephalogram (EEG) signals from neuroscience, exchange rates from finance, and wind speed from climate systems). Even in high-dimensional systems where only one variable is fully observed and all others suffer from extreme missingness (e.g., 90%), the FPRM enables reliable imputation of multiple incomplete variables—a task that challenges most existing approaches. This dynamics-guided framework outperforms traditional approaches, alleviating substantial data gaps and enabling robust data-driven paradigms for complex dynamical systems.

Dynamical independence: Discovering emergent macroscopic processes in complex dynamical systems

We introduce a notion of emergence for macroscopic variables associated with highly multivariate microscopic dynamical processes. Dynamical independence instantiates the intuition of an emergent macroscopic process as one possessing the characteristics of a dynamical system ``in its own right,'' with its own dynamical laws distinct from those of the underlying microscopic dynamics. We quantify (departure from) dynamical independence by a transformation-invariant Shannon information-based measure of dynamical dependence. We emphasize the data-driven discovery of dynamically independent macroscopic variables, and introduce the idea of a multiscale ``emergence portrait'' for complex systems. We show how dynamical dependence may be computed explicitly for linear systems in both time and frequency domains, facilitating discovery of emergent phenomena across spatiotemporal scales, and outline application of the linear operationalization to inference of emergence portraits for neural systems from neurophysiological time-series data. We discuss dynamical independence for discrete- and continuous-time deterministic dynamics, with potential application to Hamiltonian mechanics and classical complex systems such as flocking and cellular automata.

Robert Mahon (@bedform.org)

It amazes me how much money our professional societies spend on outside firms to make certain their conference websites get worse and worse every single year

Indiemusi.ch

The current state of social media leaves us with a lot of questions. How can we stay united as music players amidst of platform monopolies?

indiemusi.ch

Manage your music catalogue in the Atmosphere

atbbs

Bulletin boards on the Atmosphere.

proto instant messenger

AIM-inspired group chat on the AT Protocol. Real-time chat rooms, presence, away messages — a safe space for community.

protoimsg | AIM-inspired group chat on the AT Protocol

Community chat rooms, peer-to-peer video calls, encrypted DMs, and buddy lists built on the AT Protocol. Works with Blacksky, Bluesky, or any atproto account.

Skylight

Want to actually see the people you follow? Done. Want to decide what shows up in your feed, and what doesn't? Easy. A social app where your interests come first.

orbyt - video communities

a new video app for bluesky

Skylight

Want to actually see the people you follow? Done. Want to decide what shows up in your feed, and what doesn't? Easy. A social app where your interests come first.

Spark - Take back your timeline

Social media is addictive and manipulative. It's time for social that puts the user in control.

Rabbithole - Thinking with portals

protoimsg | AIM-inspired group chat on the AT Protocol

Community chat rooms, peer-to-peer video calls, encrypted DMs, and buddy lists built on the AT Protocol. Works with Blacksky, Bluesky, or any atproto account.

Chats where you truly own your data.

Colibri is an open source chat platform built on the AT protocol for communities big and small.

Chats where you truly own your data.

Colibri is an open source chat platform built on the AT protocol for communities big and small.

protoimsg | AIM-inspired group chat on the AT Protocol

Community chat rooms, peer-to-peer video calls, encrypted DMs, and buddy lists built on the AT Protocol. Works with Blacksky, Bluesky, or any atproto account.

protoimsg | AIM-inspired group chat on the AT Protocol

Community chat rooms, peer-to-peer video calls, encrypted DMs, and buddy lists built on the AT Protocol. Works with Blacksky, Bluesky, or any atproto account.

Roomy Space

A community platform integrated with the AT Protocol

Chats where you truly own your data.

Colibri is an open source chat platform built on the AT protocol for communities big and small.

Drerings

Draw pictures, show them to your friends

oekaki BBS

PinkSea is an Oekaki BBS running as an AT Protocol application. Log in and draw!