Cognitive neuroscience — NSF BIO / IOS cross-listed with psychology at the mind-brain interface grain; mechanistic study of perception, attention, memory, language, decision-making, and executive function through the neural substrate. …
cognitive-neuroscience
Signal-detection theory: d' = z(H) − z(F), c = −(z(H)+z(F))/2
Signal-detection theory (SDT; Green & Swets 1966, Macmillan & Creelman 2005) decomposes performance in any yes/no discrimination task…
Mental chronometry: RT(n) = a + b·n; Sternberg slope b ≈ 38 ms/item
Mental chronometry — inferring the temporal structure of mental operations from reaction times — originates with Donders' (1868)…
Working memory: Miller 7±2 chunks; Cowan 4±1; Baddeley-Hitch 4-component
Working memory — the active, limited-capacity store for transiently held information in the service of complex cognition — has a storied…
d'-antisymmetry: d'(H,F) + d'(F,H) = 0; d'(H=F) = 0 (chance)
Sympy-exact witness of the d'-antisymmetry and chance-performance identities using sympy's abstract `Function`. Setup: define z =…
Stroop interference: RT_incong − RT_cong = 150 ms at anchor (RT_cong=600, RT_incong=750)
Sympy-exact witness of the Stroop effect at representative canonical reaction-time anchors. Setup: RT_cong = 600 ms (mean RT for congruent…
Sternberg scanning: RT(n) = 400 + 38n ms; RT(4) − RT(1) = 3·38 = 114 ms
Sympy-exact witness of the Sternberg (1966) linear set-size RT scaling on canonical anchor parameters. Setup: a = 400 ms (non-scanning…
Drift-diffusion model (DDM): dx = v·dt + dW_t; absorbing barriers ±a/2; ⟨T⟩=(a/2v)·tanh(av/2)
Drift-diffusion model (DDM) — the canonical sequential-sampling framework for two-alternative forced-choice (2AFC) decision making in…
Fitts' law: MT = a + b · log₂(2A/W); ID = log₂(2A/W); Fitts' 1954 information-theoretic aiming
Fitts' law — the canonical information-theoretic aiming framework in motor cognitive neuroscience (Fitts 1954; Shannon-channel-capacity…
Hick-Hyman law: RT = c + d · log₂(N+1); choice-RT scales with information H in bits
Hick-Hyman law — the canonical information-theoretic framework for choice reaction time (CRT) in cognitive neuroscience (Hick 1952 / Hyman…
DDM: ⟨T⟩=(a/2v)·tanh(av/2); P_upper=1/(1+e^{−av}); ⟨T⟩|_{v→0}=a²/4; P|_{v=0}=1/2
Sympy-exact symbolic witness of the DDM (drift-diffusion model) first-passage moments and choice-probability canonical forms. Setup:…
Fitts: MT = a + b·log₂(2A/W); ID(A=8,W=1)=4; doubling A or halving W → +1 bit ID
Sympy-exact symbolic witness of Fitts' law movement-time canonical form and its doubling-precision +1-bit anchors. Setup: amplitude A,…
Hick: RT = c + d·log₂(N+1); RT(N=1)=c+d, RT(N=3)=c+2d, RT(N=7)=c+3d; slope/bit = d
Sympy-exact symbolic witness of the Hick-Hyman law choice-RT canonical form and its integer-log₂ anchors. Setup: choice-set size N,…
DMN (Raichle 2001)
M Raichle 2001 default-mode-network; modern resting-state fMRI + Alzheimer-biomarker; mind-wandering + self-referential.
Resting-state (Biswal 1995)
B Biswal 1995 resting-state functional-connectivity; modern HCP Human Connectome Project + 1200 subjects.
Libet (1983)
B Libet 1983 readiness-potential precedes conscious will; modern Soon 2008 fMRI 7s pre-conscious decision.
BOLD (Ogawa 1990)
S Ogawa 1990 BOLD-signal; modern 7T-fMRI sub-mm + multi-band-EPI; neuro-vascular coupling Logothetis 2001.
Predictive coding (Friston 2005)
K Friston 2005 hierarchical-predictive-coding; modern free-energy-principle + active-inference.
Attention networks (Corbetta-Shulman 2002)
Corbetta-Shulman 2002 dorsal-ventral attention networks; modern frontoparietal + cingulo-opercular salience.
Hebb (1949)
D Hebb 1949 'Organization of Behavior' cell-assembly; modern modern foundational text + Bliss-Lømo 1973 LTP + 2024 engram-tagging…
Cajal (1906)
S Ramón y Cajal 1906 (Nobel 1906) neuron-doctrine; modern modern foundational text + cortical-circuit map + 2024 BICCN cell-atlas…
fMRI (Ogawa 1990)
S Ogawa 1990 BOLD-fMRI; modern modern foundational text + 7T human + 2024 abcd-cohort 12k children + ML-decoding visual-cortex generative.
DMN (Raichle 2001)
M Raichle 2001 default-mode-network; modern modern foundational text + 2024 task-DMN switch + Alzheimer's-pathology DMN-fragility…
Predictive coding (Rao-Ballard 1999)
R Rao-D Ballard 1999 predictive-coding; modern modern foundational text + Friston 2005 free-energy + 2024 active-inference AI-models.
Global workspace (Baars 1988)
B Baars 1988 + Dehaene-Naccache 2001 global-workspace; modern modern foundational text + 2024 ML-global-workspace deep-learning + LIDA…