Семинар "Геометрия и информация", 22 ноября 2024 года
Докладчик: Дмитрий Владимирович Алексеевский (МФТИ) Тема: Introduction to Neurogeometry of Vision PART I. The Main Principe of Organization of the Visual System 1. Brain as an Information Processing Machine 2. Two approaches to modeling of brain system - discrete (Connectome) and continuous ( Neurogeometry) 3. From R. Descartes's reflexes to conditioned Pavlov’s refexes and D. Hebbian law. 4. Hopfeld model of learning. 5. Boltsmann machine. 6. Topology of the brain. From Zeeman to Blue Brain Project. II. Principles of construction of visual system. 2. Visual neurons as filters. Gauss, Marr and Gabor filters 3. Eye as an optical device. Input information on retina. 4. Information processing in retina. 5. Retinotopic map from retina to VI cortex. 6. Functional architecture of V1 cortex, Columnar architecture of V1 cortex. Simple and comptex cells. Pinwheels. Internal parameters of Hubel -Wiesel. Hypercolumns. III. Neurogeometric models of V1 cortex and hypercolumns. 1. Hoffmann- Petitot-Tandut contact model.of V1 cortex 2. Sarti-Citti-Petitot symplectic model and SCP bundle. 3. Bressloff -Cowan spherical model of hypercolumns. 4. Principle of Homogeneity and Conformal model of hypercolumns. 5. Geometry of conformal sphere. 6. Reduces conformal model as SCP bundle.
Докладчик: Дмитрий Владимирович Алексеевский (МФТИ) Тема: Introduction to Neurogeometry of Vision PART I. The Main Principe of Organization of the Visual System 1. Brain as an Information Processing Machine 2. Two approaches to modeling of brain system - discrete (Connectome) and continuous ( Neurogeometry) 3. From R. Descartes's reflexes to conditioned Pavlov’s refexes and D. Hebbian law. 4. Hopfeld model of learning. 5. Boltsmann machine. 6. Topology of the brain. From Zeeman to Blue Brain Project. II. Principles of construction of visual system. 2. Visual neurons as filters. Gauss, Marr and Gabor filters 3. Eye as an optical device. Input information on retina. 4. Information processing in retina. 5. Retinotopic map from retina to VI cortex. 6. Functional architecture of V1 cortex, Columnar architecture of V1 cortex. Simple and comptex cells. Pinwheels. Internal parameters of Hubel -Wiesel. Hypercolumns. III. Neurogeometric models of V1 cortex and hypercolumns. 1. Hoffmann- Petitot-Tandut contact model.of V1 cortex 2. Sarti-Citti-Petitot symplectic model and SCP bundle. 3. Bressloff -Cowan spherical model of hypercolumns. 4. Principle of Homogeneity and Conformal model of hypercolumns. 5. Geometry of conformal sphere. 6. Reduces conformal model as SCP bundle.