PLATE I · MMXXVI
Anno 2026 · Folio 1.2.2
FIG. 1.2.2
Core science → technology
breakthrough

MEMPHIS

a hippocampal · memristive · neuromorphic architecture

· study of a synaptic substrate ·

Phase
MEMPHIS Rev.A · NMR-01v · iiLOT 2026 / IVCA3·CA1 HIPPOCAMPAL CORECA3 ↔ CA1 MODULE010203040506

Click any numbered anchor to inspect its role

03

Memristive crossbar

co-localised memory and compute

A self-organising memristor array where each intersection stores a synaptic weight and performs analogue multiply-accumulate in place. Energy is spent only when events flow — not on shuffling activations.


I · The core breakthrough

The core breakthrough of MEMPHIS lies in the integration of hippocampal-inspired computational principles with a self-organising memristive hardware substrate, enabling a new class of ultra-low-power, adaptive computing systems in which memory and computation are co-localised.

This is a fundamental departure from conventional architectures, in which processing and memory sit on opposite sides of a bus. MEMPHIS implements a two-phase computational paradigm — online event-driven processing for real-time interaction; offline replay-driven consolidation for memory optimisation — inside the same physical system.

The decisive validation: a small-scale memristive spiking network (CA3-CA1) performs associative recall and replay-driven consolidation, improving task performance after offline processing without further external input.

II · The circuit MEMPHIS reproduces

Six labelled circuit motifs anchor the device-co-design problem. Hover any node to read its role; the incident edges light up to show its couplings to the rest of the substrate.

PLATE M-III · MMXXVI · FIG. 1.2.cCA3 ↔ CA1 HIPPOCAMPAL CIRCUITThe circuit MEMPHIS reproducesECENTORHINAL CORTEXthe input gatewayDGDENTATE GYRUSpattern separationCA3CA3associative pattern completionSch.SCHAFFER COLLATERALSCA3 → CA1 read-out pathCA1CA1novelty detection · read-outNMNEUROMODULATORY BUSprioritisation · gain · gating

EDGE LEGENDINPUT · EC → ·CA3 → CA1 OUTPUTNEUROMODULATORYCIRCUIT NODE
CA3 · recurrent collaterals
associative pattern completion
Dense recurrent connectivity implementing an auto-associative attractor network. Partial cues retrieve full stored patterns. The 'sea horse' of the hippocampus — the place where Hebb's primitive lives in the loop.
Six circuit motifs — six device-co-design constraints. The substrate succeeds when it reproduces all six in silicon.
III · The learning primitive

Move the cursor across the curve. A pre-synaptic spike that precedes a post-synaptic spike strengthens the connection; reverse the order and the connection weakens. MEMPHIS demands the memristive substrate produce this window intrinsically from device physics, not from a software training rule applied over the top.

PLATE M-I · MMXXVI · FIG. 1.2.aSPIKE-TIMING DEPENDENT PLASTICITY · Δw vs ΔtSTDP — the learning primitive-80-60-40-200+20+40+60+80Δt · MS (t_post − t_pre)+1+0.5-0.5-1ΔwLTP · PRE → POST · POTENTIATIONLTD · POST → PRE · DEPRESSIONSPIKE PAIR · t_pre · t_postPREPOSTΔt = +8.0 MSCURRENT REGIMEPotentiationLTP · pre before postΔt · t_post − t_pre+8.0 msΔw · weight change+0.641
A pre-synaptic spike that precedes a post-synaptic spike by a few milliseconds strengthens the connection between them — Hebb’s 'cells that fire together' stated precisely. Reverse the order and the connection weakens. The exponential window is biology’s primitive for credit assignment in time. MEMPHIS demands that the memristive substrate produce this curveintrinsically from device physics — not from a software training rule applied over the top.
Scrub the curve. The substrate that learns is the one whose devices already obey this window — without an external trainer.
IV · Two phases, one substrate

Online events drive sparse, salient computation. Offline intrinsic dynamics replay and consolidate — without external input. One physical substrate, two regimes.

PLATE M-II · MMXXVI · FIG. 1.2.b

ONLINE EVENT-DRIVEN ↔ OFFLINE REPLAY-DRIVEN


Two-phase dynamics

One physical substrate runs in two regimes. Online events drive sparse, salient computation. Offline intrinsic dynamics replay and consolidate — without external input.

Phase

AWAKE · EVENT-DRIVEN

online inference

T · MILLISECONDS · INPUT-LOCKEDENERGY ∝ Σ EVENTS

Sparse, salient spikes propagate through CA3 → CA1. Energy is spent only on novelty.

SLEEP · REPLAY-DRIVEN

offline consolidation

T · MINUTES · INTRINSIC DYNAMICSENERGY ≈ CONSTANT · LOW

Intrinsic dynamics replay and consolidate. Memristive thresholds shift; redundant weights fade; salient patterns are reinforced.

One substrate, two regimes. The chip never stops learning — but it stops paying for it during sleep.
V · The energy gradient

Per-synaptic-event energy on a log axis. GPU AI sits six orders of magnitude above mammalian cortex. MEMPHIS targets the biological benchmark — three orders below today’s best neuromorphic silicon.

PLATE M-V · MMXXVI · FIG. 2.1.aENERGY PER SYNAPTIC EVENT · LOG SCALEThe energy gradient1 fJ10 fJ100 fJ1 pJ10 pJ100 pJ1 nJPER EVENTBIOLOGICAL BENCHMARK ≈ 100 fJ1NJGPU AItransformer inference2023–202610PJLoihi · TrueNorthstate-of-the-art neuromorphic2014–2024100FJBiologymammalian cortexMILLIONS OF YEARS< 10FJMEMPHIStarget · self-organising memristive2026 → 2029 (TARGET)− 5 ORDERS OF MAGNITUDETIER · MEMPHIS
target · self-organising memristive
< 10 fJ
MEMPHIS target: < 10 fJ per synaptic event for 100×100 nm² memristive devices — three orders below Loihi/TrueNorth and approaching biology.
MEMPHIS targets the biological benchmark — not the next neuromorphic increment. Five orders of magnitude separate it from today’s GPU-borne foundation-model inference.
VI · Five advances beyond the state of the art

Computational paradigm

Distributed, event-driven computation inspired by biological circuits — not sequential and energy-intensive.

Learning capability

Continuous, replay-consolidated adaptation that addresses catastrophic forgetting without separating training from deployment.

Memory optimisation

Hardware-embedded sleep-like processes — replay and synaptic scaling — for long-term memory formation and restructuring.

Hardware substrate

Self-organising memristive systems as a physically grounded implementation of synaptic plasticity, targeting competitive energy efficiency and high integration density.

System-level functionality

Biologically-inspired modulatory pathways for prioritisation and adaptive memory processing, beyond current neuromorphic implementations.

VII · Contribution to the long-term vision

A hippocampal-inspired neuromorphic system with integrated learning and memory consolidation is a concrete step toward post–von-Neumann computing — paradigms in which intelligence emerges from the interaction between computation, memory and physical substrate, not from their separation.

The proposed system establishes three things at once: the scientific basis for replay-driven learning in artificial systems, the technological feasibility of ultra-low-power adaptive hardware, and a scalable framework for future brain-inspired architectures in AI and robotics.

The project focuses on a constrained hippocampal module — but the principles developed here are directly extendable to more complex cognitive systems, embedded inside the dynamics of the physical hardware itself.

The critical uncertaintyMEMPHIS brief

Whether memristive devices can be matched and stabilised at the precision required by the replay-driven dynamics. The biology demands a tighter device-to-device tolerance than today’s memristive arrays routinely deliver; the engineering question is whether self-organisation can close that gap inside the operating regime, not whether it must.

VIII · Read the full submission