Cognitive Research (United States)

Localization and anticipation of seizure onset and propagation using network architecture of pathological high‐frequency oscillations

Abstract Objective In focal epilepsies, seizures originate from a presumed seizure onset zone (SOZ) and propagate through a network of dynamically interconnected brain regions. Accurate identification of the SOZ and propagation pathways is critical for surgical planning in patien...

Gödel's Incompleteness Theorem and the Power of Context

Gödel's incompleteness theorem and Turing's halting problem are conventionally read as fundamental limits of formal reason. We argue the opposite: they are not limits of reason, but the cost of practicing reason context-free. Incompleteness (Gödel), the undecidability of semantic...

Imagine to Ensure Safety in Hierarchical Reinforcement Learning

This work investigates the safe exploration problem in reinforcement learning, where an agent must maximize cumulative performance while simultaneously satisfying safety constraints. This challenge becomes particularly difficult in long-horizon tasks because safe reinforcement le...

Structural analysis of the signless Brouwer conjecture: projection thresholds, extremal families, and the Laplacian–signless gap

We study the signless Brouwer conjecture (Ashraf–Omidi–Tayfeh-Rezaie): the inequality S_k(Q) ≤ m + C(k+1,2) for the sum of the k largest eigenvalues of the signless Laplacian Q = D + A of a graph with m edges, where C(k+1,2) denotes the binomial coefficient (k+1)(k)/2. We develop...