Search Results for author: Claudius Gros

Found 20 papers, 7 papers with code

Climbing the Complexity Ladder with Expressive Attention

no code implementations26 Jul 2024 Claudius Gros

Attention involves comparing query and key vectors in terms of a scalar product, $\mathbf{Q}^T\mathbf{K}$, together with a subsequent softmax normalization.

A game of life with dormancy

1 code implementation19 Jun 2024 Daniel Henrik Nevermann, Claudius Gros, Jay T. Lennon

It is based on Conway's Game of Life, a deterministic cellular automaton where simple rules govern the metabolic state of an individual based on the metabolic state of its neighbors.

Scaling Laws for a Multi-Agent Reinforcement Learning Model

1 code implementation29 Sep 2022 Oren Neumann, Claudius Gros

A substantial amount of attention has been dedicated as a consequence to the description of scaling laws, although mostly for supervised learning and only to a reduced extent for reinforcement learning frameworks.

Multi-agent Reinforcement Learning reinforcement-learning +2

Generic catastrophic poverty when selfish investors exploit a degradable common resource

no code implementations17 Aug 2022 Claudius Gros

Oligarchs are characterized by payoffs that are finite and not decreasing when $N$ increases.

Collective strategy condensation towards class-separated societies

no code implementations7 Jun 2022 Claudius Gros

In physics, the wavefunctions of bosonic particles collapse when the system undergoes a Bose-Einstein condensation.

Emotions as abstract evaluation criteria in biological and artificial intelligences

no code implementations30 Nov 2021 Claudius Gros

The resulting timeline of experienced emotions is compared with the `character' of the agent, which is defined in terms of a preferred distribution of emotional states.

Nonlinear Dendritic Coincidence Detection for Supervised Learning

1 code implementation12 Jul 2021 Fabian Schubert, Claudius Gros

Cortical pyramidal neurons have a complex dendritic anatomy, whose function is an active research field.

Anatomy

A devil's advocate view on 'self-organized' brain criticality

no code implementations19 Apr 2021 Claudius Gros

Stationarity of the constituents of the body and of its functionalities is a basic requirement for life, being equivalent to survival in first place.

When to end a lock down? How fast must vaccination campaigns proceed in order to keep health costs in check?

no code implementations29 Mar 2021 Claudius Gros, Thomas Czypionka, Daniel Gros

We propose a simple rule of thumb for countries which have embarked on a vaccination campaign while still facing the need to keep non-pharmaceutical interventions (NPI) in place because of the ongoing spread of SARS-CoV-2.

Investment vs. reward in a competitive knapsack problem

no code implementations NeurIPS Workshop LMCA 2020 Oren Neumann, Claudius Gros

Natural selection drives species to develop brains, with sizes that increase with the complexity of the tasks to be tackled.

Local homeostatic regulation of the spectral radius of echo-state networks

1 code implementation26 Jan 2021 Fabian Schubert, Claudius Gros

This result allows us to introduce two local homeostatic synaptic scaling mechanisms, termed flow control and variance control, that implicitly drive the spectral radius towards the desired value under working conditions.

The economics of stop-and-go epidemic control

no code implementations14 Dec 2020 Claudius Gros, Daniel Gros

We analyse 'stop-and-go' containment policies that produce infection cycles as periods of tight lockdowns are followed by periods of falling infection rates.

A generic framework for task selection driven by synthetic emotions

no code implementations25 Sep 2019 Claudius Gros

The long-term goal of the agent, to align experience with character, is achieved by optimizing the frequency for selecting the individual tasks.

Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model

no code implementations30 Dec 2017 Mario Bijelic, Ryui Kaneko, Claudius Gros, Roser Valentí

We investigate the competition between charge-density-wave (CDW) states and a Coulomb interaction-driven topological Mott insulator (TMI) in the honeycomb extended Hubbard model.

Strongly Correlated Electrons

Emergent lattices with geometrical frustration in doped extended Hubbard models

1 code implementation21 Jun 2016 Ryui Kaneko, Luca F. Tocchio, Roser Valentí, Claudius Gros

For this purpose we investigate the phase diagram of doped extended Hubbard models on two lattices: (i) the honeycomb lattice with on-site $U$ and nearest-neighbor $V$ Coulomb interactions at $3/4$ filling ($n=3/2$) and (ii) the triangular lattice with on-site $U$, nearest-neighbor $V$, and next-nearest-neighbor $V'$ Coulomb interactions at $3/8$ filling ($n=3/4$).

Strongly Correlated Electrons

How to test for partially predictable chaos

1 code implementation18 May 2016 Hendrik Wernecke, Bulcsú Sándor, Claudius Gros

For a chaotic system pairs of initially close-by trajectories become eventually fully uncorrelated on the attracting set.

Chaotic Dynamics Disordered Systems and Neural Networks Computational Physics

Spontaneous symmetry breaking in correlated wave functions

1 code implementation29 Oct 2015 Ryui Kaneko, Luca F. Tocchio, Roser Valentí, Federico Becca, Claudius Gros

We show that Jastrow-Slater wave functions, in which a density-density Jastrow factor is applied onto an uncorrelated fermionic state, may possess long-range order even when all symmetries are preserved in the wave function.

Strongly Correlated Electrons

Attractor Metadynamics in Adapting Neural Networks

no code implementations22 Apr 2014 Claudius Gros, Mathias Linkerhand, Valentin Walther

We find both first- and second-order changes in the location of adiabatic attractors and argue that the study of the continuously evolving attractor landscape constitutes a powerful tool for understanding the overall development of the neural dynamics.

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