可能的方向

实验(联合西湖大学)

  1. Integrator dynamics in the cortico-basal ganglia loop for flexible motor timing

  2. An approximate line attractor in the hypothalamus encodes an aggressive state

日期: 2026-05-11   标签: #line attractor 
Summary The hypothalamus regulates innate social behaviors, including mating and aggression. These behaviors can be evoked by optogenetic stimulation of specific neuronal subpopulations within MPOA and VMHvl, respectively. 下丘脑调节着先天的社交行为,包括交配和攻击。这些行为可以通过对 MPOA 和 VMHvl 中特定神经亚群进行光遗传学刺激来引发。 Here, we perform dynamical systems modeling of population neuronal activity in these nuclei during social behaviors. In VMHvl, unsupervised analysis identified a dominant dimension of neural activity with a large time constant (>50 s), generating an approximate line attractor in neural state space. Progression of the neural trajectory along this attractor was correlated with an escalation of agonistic behavior, suggesting that it may encode a scalable state of aggressiveness. ......
  1. A circuit that integrates drive state and social contact to gate mating

  2. A line attractor maintains aggressiveness during feeding in 'hangry' mice

日期: 2026-05-10   标签: #line attractor 
......
  1. Encoding of female mating dynamics by a hypothalamic line attractor

  2. Causal evidence of a line attractor encoding an affective state

日期: 2026-05-11   标签: #line attractor 
Abstract Continuous attractors are an emergent property of neural population dynamics that have been hypothesized to encode continuous variables such as head direction and eye position1–4. In mammals, direct evidence of neural implementation of a continuous attractor has been hindered by the challenge of targeting perturbations to specific neurons within contributing ensembles2,3. 连续吸引子是神经群体动力学的一个涌现属性,被假设为编码连续变量,如头部方向和眼睛位置。在哺乳动物中,直接证据表明连续吸引子的神经实现受到挑战,因为很难针对贡献集合中的特定神经元进行干扰。 ......

meta-learning(biologically plausible learning rule)

  1. The neural computation of affective internal states in the hypothalamus - A dynamical systems perspective

  2. A line attractor encoding a persistent state requires neuropeptide signaling

日期: 2026-05-10   标签: #physics  #numerical calculation 
Summary Internal states drive survival behaviors, but their neural implementation is poorly understood. Recently, we identified a line attractor in the ventromedial hypothalamus (VMH) that represents a state of aggressiveness. Line attractors can be implemented by recurrent connectivity or neuromodulatory signaling, but evidence for the latter is scant. 内部状态驱动生存行为,但其神经实现机制尚不明确。最近,我们在 腹内侧下丘脑(VMH)中识别出一个线性吸引子,它代表了一种攻击性状态。线性吸引子可以通过反馈连接或神经调制信号来实现,但后者的证据很少。 ......

自下而上的方法: 通过病毒和基因编辑, 钙成像神经活动, 研究同一区域(腹内侧下丘脑 VMH)不同神经调节受体(催产素 OXT, 精氨酸加压素 AVP) 局部失活的影响.

社交行为(如攻击性)的神经元集群可构成一个近似线性吸引子.

  1. Integration as a self-organizing process
日期: 2025-11-24   标签: #physics  #numerical calculation 
Integration—the accumulation of information over time—is a fundamental computation in navigation, decisionmaking, and memory. The dominant circuit model, the continuous attractor neural network (CANN), explains integration through finely tuned connectivity that supports marginally stable states. However, data from systems such as Drosophila central complex suggest that real connectivity is heterogeneous, implying that symmetry may only exist in a coarse-grained sense, if at all. One class of models explains this heterogenous connectivity by evoking supervised learning which can enforce coarse-grained symmetry at the expense of extensive trial and error learning or by employing biologically unrealistic learning rules. Another class employs only local learning rules, but this approach typically fails when circuit connectivity or tutoring inputs become sufficiently heterogeneous. 积分——随时间积累信息——是导航、决策和记忆中的基本计算. 主导的回路模型, 连续吸引子神经网络(CANN), 通过支持边际稳定状态的精细调制连接来解释积分. ......

embeded continuous attractors with random rnn

random rnn(DMFT), random matrix theory

  1. Symmetries and continuous attractors in disordered neural circuits
日期: 2025-10-08   标签: #physics  #numerical calculation 
0. Abstract 经典 cann: 依赖于循环权重 $\mathbb{M}$ 的连续对称性, 调谐曲线也具有平移对称性. 而小鼠头朝向细胞具有异质性. 仍可通过经典 cann 动力学解释哺乳动物神经回路. 通过动力学平均场理论(Dynamical Mean Field Theory) 表明调谐异质性网络(在大 N 下)等效于经典 ring attractor. 随机权重通过特征值简并反映出来. 因此可以对权重进行谱结构分析. ......

面试 PPT 大纲

John Hopfield (Symmetric)

Associative Memory

discrete fixed point

degenerate manifold

Examples

  • occular motor control
  • ring attractors(head direction cells)
  • place cells
  • intrinsic behavior(aggression, mating...)
  1. Existing model/theory

    • Fine tuned connectivity
    • 1996 S.Seung PNAS

    $$ \tau\frac{\mathrm{d}x}{\mathrm{d}t} = Ax + \xi_{\tau} $$

  2. Biological noisyness


问题: 是否存在一套学习规则, 使得神经网络在接受到一些实验数据的时候, 可以在无监督下自组织出对应的连续吸引子网络, 从而将现实世界的某低维变量嵌入到高维的 RNN 相空间中?

  1. 实验数据是否存在低维流形

2020: Manifold GPLVMs for discovering non-Euclidean latent structure in neural data 流形高斯过程隐变量模型: 还原了 Head Direction 的环结构

2018: Learning a latent manifold of odor representations from neural responses in piriform cortex: 不是证明了气味分子在现实世界构成低维流形, 而是从小鼠 piriform cortex 的神经活动中能够反推一个能解释这些响应的潜在嗅觉表征空间

  1. 能否在无监督下自组织, 从而恢复流形的 latent variable

  2. 是否存在某种生物学上可行的学习规则, 使得 RNN 能够将流形映射到自己的相空间中

Oja rule: Discovering plasticity rules that organize and maintain neural circuits

  1. 是否有不同的流形可以拓展应用目前学习的 random RNN 的理论框架?
    • 线性吸引子: 能否构造一个协方差矩阵, 使得生成的调谐曲线能满足 aggression 等表征?
    • 蝙蝠: (目前尚未查到比较完整的数据集) Three-dimensional head-direction coding in the bat brain: 并未构成想象中的球面吸引子, 而更像是一个环面吸引子