Memory-bound function

A computation whose elapsed time is limited primarily by memory capacity, bandwidth or latency rather than arithmetic throughput.

Version

v1 · 2026-09-08 · History

Domain-specific #

5535

Origin domain

computer performance

Subdomain

specialized structures

Core Idea

A memory-bound workload cannot keep compute units fully utilized because data movement is the dominant scarce resource. Low arithmetic intensity and cache misses make execution wait on memory transfers, so faster processors add little benefit unless locality or bandwidth improves. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.

The load-bearing residual is not the broad topic of computer performance. It is A computation whose elapsed time is limited primarily by memory capacity, bandwidth or latency rather than arithmetic throughput.

Scope of Application

Memory-bound function belongs to computer performance and is useful where the analyst can specify an algorithm, working set, memory hierarchy, access pattern, bandwidth, latency, arithmetic intensity and measured runtime, then evaluate performance scaling and profiling show memory service rather than instruction execution is the active bottleneck for the stated workload and hardware. The scope is broad within that domain but bounded by the need for performance scaling and profiling show memory service rather than instruction execution is the active bottleneck for the stated workload and hardware. The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Clarity

The abstraction clarifies a crowded vocabulary by making performance scaling and profiling show memory service rather than instruction execution is the active bottleneck for the stated workload and hardware the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name Memory-bound function can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.

Manages Complexity

Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Memory-bound function. Memory-bound function compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.

Abstract Reasoning

1. Identify the carrier. State what the elements, states, objects, or observations are: an algorithm, working set, memory hierarchy, access pattern, bandwidth, latency, arithmetic intensity and measured runtime. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express performance scaling and profiling show memory service rather than instruction execution is the active bottleneck for the stated workload and hardware independently of one notation or implementation.

Knowledge Transfer

Knowledge transfers strongly among subfields of computer performance because they reuse an algorithm, working set, memory hierarchy, access pattern, bandwidth, latency, arithmetic intensity and measured runtime, Low arithmetic intensity and cache misses make execution wait on memory transfers, so faster processors add little benefit unless locality or bandwidth improves., and type the carrier, state every parameter and convention in the definition, test that performance scaling and profiling show memory service rather than instruction execution is the active bottleneck for the stated workload and hardware, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.

Relationships to Other Abstractions

Current abstraction Memory-bound function Domain-specific

Parents (1) — more general patterns this builds on

• Memory-bound function is a kind of Bottleneck Prime

  The proposed strict upward parent is prime:bottleneck.

Hierarchy paths (3) — routes to 3 parentless roots

• Memory-bound function → Bottleneck → Cut → Network → Reservoir-Flux Network → Conservation Laws → Invariance

Show alternative paths (2)

Neighborhood in Abstraction Space

Memory-bound function sits in a moderately populated region (47^th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Memory Architecture & Parallel Computing (34 abstractions)

Nearest neighbors

• CPU cache — 0.90
• Parallel computing — 0.89
• Scratchpad memory — 0.89
• 2 GB limit — 0.89
• Register allocation — 0.89

Computed from structural-signature embeddings · 2026-09-08