2015-16: CCNS: Mathematics of Neural Networks and Neural Codes: March 9-11, 2016

Workshop Information

March 9, 2016 - 9:30am - March 11, 2016 - 3:00pm

Participation is by invitation only.
This workshop will be held at SAMSI in Research Triangle Park, NC.

Description:

This workshop will feature a full day of talks, targeting specific areas in the theory of neural networks and neural codes that are currently active areas of research. The second and third days will be focused on research sessions to further collaboration among the participants.

On the networks side, the focus is on training and fitting various types of networks (discrete models, rate models, spiking models) to produce dynamic activity patterns. This necessitates both a deep understanding of the dynamics of the networks in question, as well as state-of-the-art fitting techniques. Recent theoretical advances have led to an improved understanding of the dynamics of threshold-linear network, spiking networks with embedded cell assemblies, and pattern storage in Hopfield networks. Data sets for training these networks consist of synthetic spiking data, generated by spiking networks where we can control the "ground truth," and real spiking data from electrophysiological recordings.

On the neural coding side, the emphasis is on the further development of topological and algebraic methods for analyzing neural activity from simultaneous recordings of neurons. This activity can be pre-processed to obtain neural correlations and neural codes. Many mathematical questions arise when trying to understand how important features of correlation or coding structure can be extracted from these data. The workshop will explain recent advances to participants, and build on existing research collaborations.

Local researchers from Duke, UNC, and NC State are welcome to attend the presentations.

Workshop Organizers:

Carina Curto, Penn State, Math Dept
Brent Doiron, University of Pittsburgh, Math Dept
Chris Hillar, UC-San Francisco and UC-Berkeley, Neuroscience Dept
Vladimir Itskov, Penn State, Math Dept

Directorate Liaison: Tom Witelski, Duke University

Questions: [email protected]

List of Participants

Schedule

Wednesday, March 9, 2016
at SAMSI

9:00-9:15 Registration
9:15-9:30 Opening Remarks
  Morning Session - Recurrent Neural Networks
9:30-10:00

Chris Hillar, Univ. of California, SF and Berkeley
Overview of Network Models (Discrete, Rate, Spiking)

10:00-11:00 Carina Curto, Penn State University
Dynamics of Threshold-Linear Networks
11:00-11:30

Chengcheng Huang, University of Pittsburgh

Attentional Effects on Within-Area and  Between-Areas Noise Correlations

11:30-12:00

Aubrey Thompson, Carnegie Mellon University and University of Pittsburgh

Neural Coding in Metastable Cortical Dynamics

12:00 Chris Hillar, Univ. of California, SF and Berkeley
Fitting Recurrent Networks
1:00-2:30 Lunch
  Afternoon session - Algebra and Topology of Neural Codes
2:30-3:00 Carina Curto, Penn State University
Overview of Topology in Neuroscience
3:00-4:00

Chad Guisti, University of Pennsylvania

Topological Analysis of Neural Correlations

4:00-5:00 Vladimir Itskov, Penn State University
Convex Neural Codes
5:00-6:00 Nora Youngs, Harvey Mudd College
Algebraic Analysis of Neural Codes Using the Neural Ring

Thursday, March 10, 2016
at SAMSI

9:30-10:30 Discussion of Network-related Research Projects
(Led by Carina Curto, Brent Doiron, Chris Hillar)
10:30-1:00 Collaborative Research Time
1:00-2:00 Lunch
2:00-3:00 Discussion of Topology-Related Research Projected
(led by Vladimir Itskov)
3:00-5:30 Collaborative Research Time

Friday, March 11, 2016
at SAMSI

9:30-12:00 Research Sessions
12:00-1:00 Lunch
1:00-3:00 Collaborative Research Time
3:00 Workshop Adjourns