Institute for Cognitive Science Studies

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...

Depression as Entropic Collapse of Self-Organization: A Cognitive Reflex Therapy Perspective

Contemporary accounts of major depressive disorder remain substantially organized around symptom taxonomy — the cataloguing of phenomenological features specified by the DSM-5 and ICD-11 — without providing a satisfactory mechanistic account of the systemic dynamics that produce...