The research library

Good ideas need
checkable evidence.

We study when conventional computation can be replaced, what it costs, and what evidence would make that substitution credible.

03 public preprints · Formal, empirical, and exploratory workScope and limitations included.

3 papers in this view

Formal methods

July 2026

Proof-Carrying Optimality for Finite Identification under Bounded Adversarial Answer Errors

PreprintVikram LexUnder Review at JMLR

Develops proof-carrying methods for finite identification when answers may contain a bounded number of adversarial errors. Candidate construction is separated from independently checkable optimality certificates: all 30 primary cells receive two-sided proofs, while 300 of 303 declared sweep cells receive proofs and three are explicitly reported as resource-limit outcomes.

Scope: explicit finite behavior tables and declared probe alphabets. Verification is polynomial in the explicit table and supplied proof, not necessarily in a succinct game description.

Formal MethodsCertified SearchRobust Identification

Empirical studies

July 2026

Bounded-Horizon Local Transformer Training on CPUs: Quality, Throughput, and Memory

PreprintVikram LexUnder Review at JAIR

Tests bounded-horizon local training as a CPU-constrained alternative to full-horizon Transformer training. Async RGC measured 1.382× BP throughput with higher memory use, but the prespecified held-out 1% non-inferiority criterion and TinyStories transfer criterion failed; readout equivalence was not established.

The throughput comparison used 29 stage-worker threads for RGC and 24 BP intra-op threads; measured PSS increased from 1.94 to 4.31 GiB.

Local LearningCPU TrainingNegative Results

Early explorations

June 2026

Quantum Hybrid Modules for AI: Attention, Optimization, and Verification on Near-Term Quantum Hardware

PreprintVikram LexUnder Review

Explores quantum-classical modules for AI search, optimization, attention, and kernel methods. This is an early exploratory preprint; its current results do not establish a practical or end-to-end quantum advantage, and it does not represent a current product direction.

Quantum ComputingExploratory Research

How we approach the work

State the conditions.

A result is useful when its scope is clear. We describe the assumptions, resource limits, and settings where our claims apply.

Measure the tradeoffs.

Speed alone is not the whole story. Quality, memory, compute, and transfer all matter when evaluating an alternative.

Publish the limitations.

Failed criteria and negative results belong in the record. We make room for evidence that changes the direction of a project.