activity
20202025
most citedNonlinear Opinion Dynamics with Tunable Sensitivity

113 citations · 144 across the 22 of their papers we have counts for

collaborators

22 papers

eess.SY2025

Spiking control systems for soft robotics: a rhythmic case study in a soft robotic crawler

Juncal Arbelaiz, Alessio Franci, Naomi Ehrich Leonard +2

Inspired by spiking neural feedback, we propose a spiking controller to engineer the locomotion of a soft robotic crawler. Its bistability, akin to neural fast positive feedback, c…

eess.SY2025

Tunable Thresholds and Frequency Encoding in a Spiking NOD Controller

Ian Xul Belaustegui, Alessio Franci, Naomi Ehrich Leonard

Spiking Nonlinear Opinion Dynamics (S-NOD) is an excitable decision-making model inspired by the spiking dynamics of neurons. S-NOD enables the design of agile decision-making that…

math.DS2024

Opinion-driven risk perception and reaction in SIS epidemics

Marcela Ordorica Arango, Anastasia Bizyaeva, Simon A. Levin +1

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection.…

math.AP2024

Spatially-invariant opinion dynamics on the circle

Giovanna Amorim, Anastasia Bizyaeva, Alessio Franci +1

We propose and analyze a nonlinear opinion dynamics model for an agent making decisions about a continuous distribution of options in the presence of input. Inspired by perceptual…

eess.SY2024

Spiking Nonlinear Opinion Dynamics (S-NOD) for Agile Decision-Making

Charlotte Cathcart, Ian Xul Belaustegui, Alessio Franci +1

We present, analyze, and illustrate a first-of-its-kind model of two-dimensional excitable (spiking) dynamics for decision-making over two options. The model, Spiking Nonlinear Opi…

eess.SY2024

Excitable crawling

Juncal Arbelaiz, Alessio Franci, Naomi Ehrich Leonard +2

We propose and analyze the suitability of a spiking controller to engineer the locomotion of a soft robotic crawler. Inspired by the FitzHugh-Nagumo model of neural excitability, w…

eess.SY2024

Sparse dynamic network reconstruction through L1-regularization of a Lyapunov equation

Ian Xul Belaustegui, Marcela Ordorica Arango, Román Rossi-Pool +2

An important problem in many areas of science is that of recovering interaction networks from simultaneous time-series of many interacting dynamical processes. A common approach is…

cs.RO2023

Threshold Decision-Making Dynamics Adaptive to Physical Constraints and Changing Environment

Giovanna Amorim, María Santos, Shinkyu Park +2

We propose a threshold decision-making framework for controlling the physical dynamics of an agent switching between two spatial tasks. Our framework couples a nonlinear opinion dy…

q-bio.PE2023

Active risk aversion in SIS epidemics on networks

Anastasia Bizyaeva, Marcela Ordorica Arango, Yunxiu Zhou +2

We present and analyze an actively controlled Susceptible-Infected-Susceptible (actSIS) model of interconnected populations to study how risk aversion strategies, such as social di…

physics.soc-ph2023★ 2 cited

Multi-topic belief formation through bifurcations over signed social networks

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structur…

eess.SY2023★ 2 cited

Learning with Delayed Payoffs in Population Games using Kullback-Leibler Divergence Regularization

Shinkyu Park, Naomi Ehrich Leonard

We study a multi-agent decision problem in large population games. Agents from multiple populations select strategies for repeated interactions with one another. At each stage of t…

eess.SY2023★ 1 cited

Emergent Coordination through Game-Induced Nonlinear Opinion Dynamics

Haimin Hu, Kensuke Nakamura, Kai-Chieh Hsu +2

We present a multi-agent decision-making framework for the emergent coordination of autonomous agents whose intents are initially undecided. Dynamic non-cooperative games have been…

cs.RO2022★ 3 cited

Proactive Opinion-Driven Robot Navigation around Human Movers

Charlotte Cathcart, María Santos, Shinkyu Park +1

We propose, analyze, and experimentally verify a new proactive approach for robot social navigation driven by the robot's "opinion" for which way and by how much to pass human move…

math.OC2022★ 1 cited

Sustained oscillations in multi-topic belief dynamics over signed networks

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary cond…

math.DS2022

Breaking indecision in multi-agent, multi-option dynamics

Alessio Franci, Martin Golubitsky, Ian Stewart +2

How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees a…

math.OC2022★ 13 cited

Switching transformations for decentralized control of opinion patterns in signed networks: application to dynamic task allocation

Anastasia Bizyaeva, Giovanna Amorim, Maria Santos +2

We propose a new decentralized design method to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion…

stat.ML2021★ 5 cited

One More Step Towards Reality: Cooperative Bandits with Imperfect Communication

Udari Madhushani, Abhimanyu Dubey, Naomi Ehrich Leonard +1

The cooperative bandit problem is increasingly becoming relevant due to its applications in large-scale decision-making. However, most research for this problem focuses exclusively…

stat.ML2021★ 4 cited

When to Call Your Neighbor? Strategic Communication in Cooperative Stochastic Bandits

Udari Madhushani, Naomi Leonard

In cooperative bandits, a framework that captures essential features of collective sequential decision making, agents can minimize group regret, and thereby improve performance, by…

cs.LG2021

Provably Efficient Multi-Agent Reinforcement Learning with Fully Decentralized Communication

Justin Lidard, Udari Madhushani, Naomi Ehrich Leonard

A challenge in reinforcement learning (RL) is minimizing the cost of sampling associated with exploration. Distributed exploration reduces sampling complexity in multi-agent RL (MA…

physics.soc-ph2021

Tuning Cooperative Behavior in Games with Nonlinear Opinion Dynamics

Shinkyu Park, Anastasia Bizyaeva, Mari Kawakatsu +2

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agen…

cs.LG2020

On Using Hamiltonian Monte Carlo Sampling for Reinforcement Learning Problems in High-dimension

Udari Madhushani, Biswadip Dey, Naomi Ehrich Leonard +1

Value function based reinforcement learning (RL) algorithms, for example, -learning, learn optimal policies from datasets of actions, rewards, and state transitions. However, wh…

math.OC2020★ 113 cited

Nonlinear Opinion Dynamics with Tunable Sensitivity

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges…