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21,649
problem:01-tokenization/adversarial-tokenization-attacks#assumption-1
parsed
$T$ is applied to whole prompts
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/adversarial-tokenization-attacks.md
$T$ is applied to whole prompts — false: chat templates tokenize segments separately, so token boundaries depend on role markers and on whether the client pre-tokenizes.
violated
21,650
problem:01-tokenization/adversarial-tokenization-attacks#assumption-2
parsed
$D(T(x)) = x$
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/adversarial-tokenization-attacks.md
$D(T(x)) = x$ — false in practice for tokenizers with NFKC normalization or byte-fallback quirks, which are lossy.
violated
21,651
problem:01-tokenization/adversarial-tokenization-attacks#assumption-3
parsed
Semantic equivalence is well defined
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/adversarial-tokenization-attacks.md
Semantic equivalence is well defined — false for homoglyph text, whose meaning depends on the renderer.
violated
21,652
problem:01-tokenization/bpe-merge-optimality-gap#assumption-1
parsed
Pre-tokenization boundaries are fixed
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/bpe-merge-optimality-gap.md
Pre-tokenization boundaries are fixed. Violated in practice: GPT-2-style regex splits, digit-grouping rules and whitespace handling change $rho$ by more than most merge-order effects.
violated
21,653
problem:01-tokenization/bpe-merge-optimality-gap#assumption-2
parsed
Corpus counts are the deployment distribution
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/bpe-merge-optimality-gap.md
Corpus counts are the deployment distribution. Violated: tokenizers trained on web English are used on code, other languages and long digits.
violated
21,654
problem:01-tokenization/bpe-merge-optimality-gap#assumption-3
parsed
Non-overlapping left-to-right occurrence counting
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/bpe-merge-optimality-gap.md
Non-overlapping left-to-right occurrence counting. An approximation; the true maximum matching for self-overlapping pairs (aa in aaaaa) differs.
unstated
21,655
problem:01-tokenization/bpe-merge-optimality-gap#assumption-4
parsed
Token count is a proxy for model loss
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/bpe-merge-optimality-gap.md
Token count is a proxy for model loss. Not established (§4).
unstated
21,656
problem:01-tokenization/byte-level-parity-at-scale#assumption-1
parsed
Equal-FLOP implies equal cost
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/byte-level-parity-at-scale.md
Equal-FLOP implies equal cost. Violated. Byte models are memory-bandwidth-bound at short context and their entropy-based or dynamic chunkers add a serial dependency at decode; FLOP parity understates their latency.
violated
21,657
problem:01-tokenization/byte-level-parity-at-scale#assumption-2
parsed
BPB is tokenizer-independent
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/byte-level-parity-at-scale.md
BPB is tokenizer-independent. Holds as an arithmetic identity, but only if both models are scored on byte-identical text with identical normalization (NFC, whitespace, BOM). Silent normalization inside a tokenizer breaks it.
holds
21,658
problem:01-tokenization/byte-level-parity-at-scale#assumption-3
parsed
The BPE baseline is optimal
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/byte-level-parity-at-scale.md
The BPE baseline is optimal. Violated in the other direction — most reported comparisons use one off-the-shelf vocabulary size, unswept.
violated
21,659
problem:01-tokenization/byte-level-parity-at-scale#assumption-4
parsed
Chinchilla-style scaling laws transfer across granularity
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/byte-level-parity-at-scale.md
Chinchilla-style scaling laws transfer across granularity. Unverified. Data-optimal $T$ is quoted in tokens; the byte model's token is not the same object.
unstated
21,660
problem:01-tokenization/canonicality-bias#assumption-1
parsed
Vocabulary is prefix-free or segmentation is unique
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/canonicality-bias.md
Vocabulary is prefix-free or segmentation is unique — false for all BPE and UnigramLM vocabularies.
violated
21,661
problem:01-tokenization/canonicality-bias#assumption-2
parsed
Canonical mass $kappa approx 1$
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/canonicality-bias.md
Canonical mass $kappa approx 1$ — approximately true for English prose in-distribution, empirically false for rare words, code identifiers, non-Latin scripts, and numerals.
partly
21,662
problem:01-tokenization/canonicality-bias#assumption-3
parsed
Proposal $q$ covers the support of $p_theta$
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/canonicality-bias.md
Proposal $q$ covers the support of $p_theta$ — BPE-dropout proposals put zero mass on some fibers; the estimator is then biased low without indicating it.
unstated
21,663
problem:01-tokenization/canonicality-bias#assumption-4
parsed
The canonical encoder is deterministic across implementations
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/canonicality-bias.md
The canonical encoder is deterministic across implementations — false in practice; HuggingFace fast/slow tokenizers and byte-fallback settings disagree on some inputs.
violated
21,664
problem:01-tokenization/character-knowledge-in-subword-models#assumption-1
parsed
Tokens have a single spelling
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/character-knowledge-in-subword-models.md
Tokens have a single spelling. Violated: byte-fallback tokens, unicode normalization, leading-space variants ( dog vs dog), and case pairs give one string several ids with different frequencies.
violated
21,665
problem:01-tokenization/character-knowledge-in-subword-models#assumption-2
parsed
Probe generalization implies model-internal availability
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/character-knowledge-in-subword-models.md
Probe generalization implies model-internal availability. Violated whenever probe capacity exceeds the model's read-out; a linear probe on $E$ can exploit frequency correlates of orthography rather than orthography itself.
violated
21,666
problem:01-tokenization/character-knowledge-in-subword-models#assumption-3
parsed
Character tasks measure character knowledge
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/character-knowledge-in-subword-models.md
Character tasks measure character knowledge. Violated: counting also needs arithmetic and positional tracking; failures confound the two.
violated
21,667
problem:01-tokenization/character-knowledge-in-subword-models#assumption-4
parsed
Test tokens are unseen
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/character-knowledge-in-subword-models.md
Test tokens are unseen. Violated by morphological overlap between splits (walk/walking), which leaks spelling.
violated
21,668
problem:01-tokenization/code-vs-text-vocabulary#assumption-1
parsed
Segmentation is deterministic and optimal
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/code-vs-text-vocabulary.md
Segmentation is deterministic and optimal. Violated: BPE's greedy merge sequence is not the compression-optimal segmentation; subword regularization (Kudo 2018) shows the segmentation distribution matters.
violated
21,669
problem:01-tokenization/code-vs-text-vocabulary#assumption-2
parsed
Fertility on held-out data predicts fertility in deployment
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/code-vs-text-vocabulary.md
Fertility on held-out data predicts fertility in deployment. Violated for code: indentation conventions, minified files, and non-English identifiers shift $phi$ by tens of percent.
violated
21,670
problem:01-tokenization/code-vs-text-vocabulary#assumption-3
parsed
Domain labels are clean
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/code-vs-text-vocabulary.md
Domain labels are clean. Violated: docstrings, comments, Markdown READMEs, and notebooks are code-file text; the code/text partition is not a partition of the byte stream.
violated
21,671
problem:01-tokenization/code-vs-text-vocabulary#assumption-4
parsed
$6N$ per token holds
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/code-vs-text-vocabulary.md
$6N$ per token holds. Violated at long context, where attention is a large share, and for large $V$, where the softmax dominates at small $N$.
violated
21,672
problem:01-tokenization/compression-rate-downstream-predictor#assumption-1
parsed
$C$ is corpus-stable
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compression-rate-downstream-predictor.md
$C$ is corpus-stable — violated: a tokenizer's bytes-per-token shifts by 20–40% between web text, code, and non-Latin scripts, so $C$ is a property of the pair $(tau, D)$, not $tau$.
violated
21,673
problem:01-tokenization/compression-rate-downstream-predictor#assumption-2
parsed
Downstream tasks are tokenization-neutral
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compression-rate-downstream-predictor.md
Downstream tasks are tokenization-neutral — violated: arithmetic and character-level tasks depend on digit and character segmentation, not on aggregate compression (Singh & Strouse, 2024).
violated
21,674
problem:01-tokenization/compression-rate-downstream-predictor#assumption-3
parsed
Rank correlation at 350M transfers to 70B
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compression-rate-downstream-predictor.md
Rank correlation at 350M transfers to 70B — untested; this is the empirical gap in §5.
unstated
21,675
problem:01-tokenization/compression-rate-downstream-predictor#assumption-4
parsed
Tokenizers in $mathcal{T}$ are otherwise matched
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compression-rate-downstream-predictor.md
Tokenizers in $mathcal{T}$ are otherwise matched — usually violated: candidates differ in vocabulary size, pre-tokenization regex, and byte-fallback simultaneously.
violated
21,676
problem:01-tokenization/compute-optimal-vocabulary-size#assumption-1
parsed
$6N$ FLOPs accounting
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compute-optimal-vocabulary-size.md
$6N$ FLOPs accounting. Violated: the softmax/logit matmul over $V$ and the embedding lookup have very different arithmetic intensity and memory traffic. At $V=256$K the output projection is a large fraction of measured wall-clock but is counted as ordinary FLOPs. Compute-optimal $ne$ time-optimal.
violated
21,677
problem:01-tokenization/compute-optimal-vocabulary-size#assumption-2
parsed
Fertility independent of the model
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compute-optimal-vocabulary-size.md
Fertility independent of the model. Holds by construction, but $f$ is corpus-dependent; a tokenizer fit on web English has different $f$ on code and on Telugu (Petrov et al. 2023).
holds
21,678
problem:01-tokenization/compute-optimal-vocabulary-size#assumption-3
parsed
Loss-per-byte is monotone in downstream quality
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compute-optimal-vocabulary-size.md
Loss-per-byte is monotone in downstream quality. Contested — Goldman et al. (2024) find compression correlates with performance only within limited ranges.
unstated
21,679
problem:01-tokenization/compute-optimal-vocabulary-size#assumption-4
parsed
Data is not repeated and is not scarce
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compute-optimal-vocabulary-size.md
Data is not repeated and is not scarce. Under repetition, shorter sequences change the effective epoch count, and the trade-off shifts.
unstated
21,680
problem:01-tokenization/compute-optimal-vocabulary-size#assumption-5
parsed
Fixed depth/width
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/compute-optimal-vocabulary-size.md
Fixed depth/width. $N_v$ depends on $d$, so vocabulary and aspect ratio are entangled; papers usually fix the shape.
unstated
21,681
problem:01-tokenization/continual-vocabulary-adaptation#assumption-1
parsed
Segmentation is deterministic and cheap
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/continual-vocabulary-adaptation.md
Segmentation is deterministic and cheap. Holds for BPE/Unigram merges; violated by subword regularization (Kudo, 2018) and by any learned segmenter.
violated
21,682
problem:01-tokenization/continual-vocabulary-adaptation#assumption-2
parsed
Adding a token leaves other tokens' distributions unchanged
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/continual-vocabulary-adaptation.md
Adding a token leaves other tokens' distributions unchanged. Violated — BPE merge order is global; inserting a merge re-segments unrelated strings.
violated
21,683
problem:01-tokenization/continual-vocabulary-adaptation#assumption-3
parsed
The embedding matrix is the only vocabulary-dependent parameter
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/continual-vocabulary-adaptation.md
The embedding matrix is the only vocabulary-dependent parameter. Violated in tied-embedding models, where the change also perturbs the output head and its logit scale.
violated
21,684
problem:01-tokenization/continual-vocabulary-adaptation#assumption-4
parsed
$mathcal{D}_t$ is observable before adaptation
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/continual-vocabulary-adaptation.md
$mathcal{D}_t$ is observable before adaptation. Violated in deployment: the shift is detected from traffic that has already been mis-tokenized, so the sample is filtered by the model's own failure mode.
violated
21,685
problem:01-tokenization/cross-tokenizer-distillation#assumption-1
parsed
Bijective span alignment exists
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/cross-tokenizer-distillation.md
Bijective span alignment exists. Violated whenever token boundaries cross (_tokeniz vs _token|iz); byte-level fallbacks and unicode normalization differences (NFC vs NFKC, LLaMA's ▁ handling) break byte offsets outright.
violated
21,686
problem:01-tokenization/cross-tokenizer-distillation#assumption-2
parsed
Sorted logits carry transferable information
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/cross-tokenizer-distillation.md
Sorted logits carry transferable information. Violated when vocabularies differ in size ($32{,}000$ vs $256{,}000$): sorted tails are dominated by vocabulary-size-dependent mass, so $mathcal{L}_{mathrm{ULD}}$ conflates different beliefs with different vocabulary size.
violated
21,687
problem:01-tokenization/cross-tokenizer-distillation#assumption-3
parsed
Canonical segmentation carries nearly all mass
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/cross-tokenizer-distillation.md
Canonical segmentation carries nearly all mass. Approximately true for trained models but unquantified above 1B parameters.
unstated
21,688
problem:01-tokenization/cross-tokenizer-distillation#assumption-4
parsed
Teacher and student see the same context
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/cross-tokenizer-distillation.md
Teacher and student see the same context. Violated by differing chat templates and special tokens.
violated
21,689
problem:01-tokenization/digit-grouping-arithmetic#assumption-1
parsed
Compute matching
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/digit-grouping-arithmetic.md
Compute matching. Schemes differ in tokens-per-number ($n$ vs $lceil n/3rceil$), so equal-token training is not equal-numeral training. Violated by construction — no scheme choice can satisfy both.
violated
21,690
problem:01-tokenization/digit-grouping-arithmetic#assumption-2
parsed
Vocabulary neutrality
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/digit-grouping-arithmetic.md
Vocabulary neutrality. Assumed the extra 1100 tokens do not shift BPE merges elsewhere. Violated: at fixed total vocabulary, digit tokens displace text merges.
violated
21,691
problem:01-tokenization/digit-grouping-arithmetic#assumption-3
parsed
Corpus independence
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/digit-grouping-arithmetic.md
Corpus independence. Web text contains years, IDs and prices whose frequency drives merges; naive BPE gives 2020 one token and 2021 possibly two. Violated in every model that does not force digit splits.
violated
21,692
problem:01-tokenization/digit-grouping-arithmetic#assumption-4
parsed
Exact match is the right metric
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/digit-grouping-arithmetic.md
Exact match is the right metric. It conflates a single carry error with a total failure. Known to be violated as a proxy for understands addition.
violated
21,693
problem:01-tokenization/dynamic-token-pooling#assumption-1
parsed
Pooling is lossless enough that upsampling recovers byte-level detail
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/dynamic-token-pooling.md
Pooling is lossless enough that upsampling recovers byte-level detail. Violated: reconstruction error grows with segment length; this is why residual/skip connections from the local encoder are mandatory in every working system.
violated
21,694
problem:01-tokenization/dynamic-token-pooling#assumption-2
parsed
$rho$ is stationary across the corpus
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/dynamic-token-pooling.md
$rho$ is stationary across the corpus. Violated hard. Entropy-driven boundaries fire far more often on code, non-Latin scripts, and numbers than on English prose; $rho$ can vary 2–3× across domains within one corpus.
violated
21,695
problem:01-tokenization/dynamic-token-pooling#assumption-3
parsed
Straight-through gradients are a usable estimator of $partial mathcal{L}/partial phi$
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/dynamic-token-pooling.md
Straight-through gradients are a usable estimator of $partial mathcal{L}/partial phi$. Violated in the sense that the bias is unbounded and unmeasured; no paper reports the variance of this estimator.
violated
21,696
problem:01-tokenization/dynamic-token-pooling#assumption-4
parsed
Causality holds
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/dynamic-token-pooling.md
Causality holds. A boundary predictor that uses $h_t$ to decide $b_t$ and then pools $h_{s_k:t}$ is causal; one that uses next-byte entropy computed by a separate model is causal only if that model is itself causal.
holds
21,697
problem:01-tokenization/intrinsic-tokenizer-metrics#assumption-1
parsed
Fixed compute across arms
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/intrinsic-tokenizer-metrics.md
Fixed compute across arms. Violated in most published comparisons: equal token budgets give unequal byte budgets, so a high-compression tokenizer sees more text at the same nominal cost.
violated
21,698
problem:01-tokenization/intrinsic-tokenizer-metrics#assumption-2
parsed
Embedding parameters are negligible
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/intrinsic-tokenizer-metrics.md
Embedding parameters are negligible. Violated below ~1B parameters, where a $m=250text{k}$ embedding table dominates $P$.
violated
21,699
problem:01-tokenization/intrinsic-tokenizer-metrics#assumption-3
parsed
Downstream metrics are tokenizer-neutral
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/intrinsic-tokenizer-metrics.md
Downstream metrics are tokenizer-neutral. Violated for likelihood-scored multiple choice (MMLU, HellaSwag), where answer-string length in tokens changes the normalization.
violated
21,700
problem:01-tokenization/intrinsic-tokenizer-metrics#assumption-4
parsed
One corpus
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/intrinsic-tokenizer-metrics.md
One corpus. Violated across languages: the same tokenizer's $F$ varies by an order of magnitude between scripts.
violated
21,701
problem:01-tokenization/learned-end-to-end-segmentation#assumption-1
parsed
Held-out text is drawn from the same $mathcal{D}$ as training
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/learned-end-to-end-segmentation.md
Held-out text is drawn from the same $mathcal{D}$ as training. Violated for code, non-Latin scripts, and math, where BPE compression ratios differ by 2–4×.
violated
21,702
problem:01-tokenization/learned-end-to-end-segmentation#assumption-2
parsed
BPB is monotone in downstream utility
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/learned-end-to-end-segmentation.md
BPB is monotone in downstream utility. Known violated — Schmidt et al. (EMNLP 2024) show compression and task accuracy dissociate.
violated
21,703
problem:01-tokenization/learned-end-to-end-segmentation#assumption-3
parsed
FLOP matching implies wall-clock matching
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/learned-end-to-end-segmentation.md
FLOP matching implies wall-clock matching. Violated: variable-length chunking gives ragged batches; realized throughput can be 20–40% below the FLOP-implied figure.
violated
21,704
problem:01-tokenization/learned-end-to-end-segmentation#assumption-4
parsed
The segmenter's $rho$ is stable across the run
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/learned-end-to-end-segmentation.md
The segmenter's $rho$ is stable across the run. Violated without an auxiliary ratio loss; segmenters collapse to all-boundaries or no-boundaries.
violated
21,705
problem:01-tokenization/low-resource-vocabulary-curse#assumption-1
parsed
Sentence-aligned parity corpora are translations, so low-resource sides carry translationese and are typically translated from English
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/low-resource-vocabulary-curse.md
Sentence-aligned parity corpora are translations, so low-resource sides carry translationese and are typically translated from English — this deflates $R_ell$ relative to native text.
unstated
21,706
problem:01-tokenization/low-resource-vocabulary-curse#assumption-2
parsed
$p_ell$ from web crawls is contaminated
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/low-resource-vocabulary-curse.md
$p_ell$ from web crawls is contaminated: large fractions of low-resource CommonCrawl subsets are machine-translated or misidentified by language ID (Kreutzer et al., TACL 2022).
unstated
21,707
problem:01-tokenization/low-resource-vocabulary-curse#assumption-3
parsed
Fertility assumes a word boundary exists
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/low-resource-vocabulary-curse.md
Fertility assumes a word boundary exists.
unstated
21,708
problem:01-tokenization/low-resource-vocabulary-curse#assumption-4
parsed
Constant loss-to-accuracy transfer across languages
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/low-resource-vocabulary-curse.md
Constant loss-to-accuracy transfer across languages.
unstated
21,709
problem:01-tokenization/morphological-alignment-performance#assumption-1
parsed
A gold segmentation exists and is unique
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/morphological-alignment-performance.md
A gold segmentation exists and is unique. Violated: -ing in building (noun) versus building (verb); fusional morphs in Semitic templatic morphology have no contiguous boundary at all.
violated
21,710
problem:01-tokenization/morphological-alignment-performance#assumption-2
parsed
Alignment is language-independent
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/morphological-alignment-performance.md
Alignment is language-independent. Violated: $A$ is computed against a lexicon whose coverage differs by two orders of magnitude between English and, say, Amharic.
violated
21,711
problem:01-tokenization/morphological-alignment-performance#assumption-3
parsed
The tokenizer is deterministic and context-free
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/morphological-alignment-performance.md
The tokenizer is deterministic and context-free. Violated by subword regularization (Kudo, 2018) and by any inference-time sampling.
violated
21,712
problem:01-tokenization/morphological-alignment-performance#assumption-4
parsed
Downstream tasks probe morphology
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/morphological-alignment-performance.md
Downstream tasks probe morphology. Mostly false: MMLU-style benchmarks are dominated by knowledge, not composition.
partly
21,713
problem:01-tokenization/multimodal-discrete-vocabulary#assumption-1
parsed
Losses across modalities are comparable in nats/token
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/multimodal-discrete-vocabulary.md
Losses across modalities are comparable in nats/token. Violated: text at $sim 2.2$ nats/token over a 65k BPE vocabulary and image codes at $sim 5$ nats/token over an 8k codebook carry different bits per unit of semantic content. Cross-modality loss comparison is not meaningful.
violated
21,714
problem:01-tokenization/multimodal-discrete-vocabulary#assumption-2
parsed
Token count is a fair unit of compute allocation
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/multimodal-discrete-vocabulary.md
Token count is a fair unit of compute allocation. Violated: a $512times512$ image is 1024 Chameleon tokens; a paragraph of comparable information is ~200.
violated
21,715
problem:01-tokenization/multimodal-discrete-vocabulary#assumption-3
parsed
Codebook indices are exchangeable
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/multimodal-discrete-vocabulary.md
Codebook indices are exchangeable. Violated: VQ codes are geometric neighbors in a learned embedding space, BPE ids are arbitrary. A shared softmax mixes two incompatible index geometries.
violated
21,716
problem:01-tokenization/multimodal-discrete-vocabulary#assumption-4
parsed
Reconstruction distortion predicts generative quality
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/multimodal-discrete-vocabulary.md
Reconstruction distortion predicts generative quality. Violated — see §4.
violated
21,717
problem:01-tokenization/new-token-embedding-initialization#assumption-1
parsed
New-token frequencies in $mathcal{D}$ match deployment
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/new-token-embedding-initialization.md
New-token frequencies in $mathcal{D}$ match deployment. Violated: adaptation corpora are usually narrower than deployment.
violated
21,718
problem:01-tokenization/new-token-embedding-initialization#assumption-2
parsed
$Sigma$ is isotropic enough that a diagonal fit is faithful
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/new-token-embedding-initialization.md
$Sigma$ is isotropic enough that a diagonal fit is faithful. Violated: LM embedding spaces are strongly anisotropic, with a dominant common direction (Ethayarajh, EMNLP 2019).
violated
21,719
problem:01-tokenization/new-token-embedding-initialization#assumption-3
parsed
Existing rows are well-trained, so their statistics are a sane target
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/new-token-embedding-initialization.md
Existing rows are well-trained, so their statistics are a sane target. Violated: Land & Bartolo (EMNLP 2024) find thousands of under-trained tokens in production vocabularies; $mu$ and $Sigma$ are contaminated by them.
violated
21,720
problem:01-tokenization/new-token-embedding-initialization#assumption-4
parsed
Tied embeddings make input and output init the same problem
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/new-token-embedding-initialization.md
Tied embeddings make input and output init the same problem. False even when weights are tied — the input role wants what does this token mean and the output role wants when should I emit this token, and the tie forces one compromise.
violated
21,721
problem:01-tokenization/optimal-tokenizer-construction-hardness#assumption-1
parsed
Objective = token count
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/optimal-tokenizer-construction-hardness.md
Objective = token count — violated: the model's loss is not a function of sequence length alone.
violated
21,722
problem:01-tokenization/optimal-tokenizer-construction-hardness#assumption-2
parsed
Word-boundary independence
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/optimal-tokenizer-construction-hardness.md
Word-boundary independence — violated by SuperBPE-style superword tokenizers and by whitespace-free scripts.
violated
21,723
problem:01-tokenization/optimal-tokenizer-construction-hardness#assumption-3
parsed
Held-out corpus matches the training corpus distribution
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/optimal-tokenizer-construction-hardness.md
Held-out corpus matches the training corpus distribution — violated for code, multilingual, and post-2024 web mixes.
violated
21,724
problem:01-tokenization/optimal-tokenizer-construction-hardness#assumption-4
parsed
Vocabulary cost is uniform in $k$
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/optimal-tokenizer-construction-hardness.md
Vocabulary cost is uniform in $k$ — violated: embedding/softmax parameters scale as $k cdot d$, so $k$ trades against $N$.
violated
21,725
problem:01-tokenization/post-hoc-vocabulary-expansion#assumption-1
parsed
Embeddings compose additively
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/post-hoc-vocabulary-expansion.md
Embeddings compose additively: $e(v') approx sum_i w_i, e(v_i)$ for the old-tokenizer decomposition $T(v') = (v_1,dots,v_k)$. Approximately true for input embeddings, measurably worse for unembeddings (Hewitt 2021; Minixhofer et al. 2024).
unstated
21,726
problem:01-tokenization/post-hoc-vocabulary-expansion#assumption-2
parsed
The body is tokenizer-agnostic
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/post-hoc-vocabulary-expansion.md
The body is tokenizer-agnostic. Violated: attention heads specialize to positional token-boundary patterns induced by the original segmentation.
violated
21,727
problem:01-tokenization/post-hoc-vocabulary-expansion#assumption-3
parsed
New embeddings should be distributionally matched to old ones
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/post-hoc-vocabulary-expansion.md
New embeddings should be distributionally matched to old ones. Only weakly justified; it is a regularizer against out-of-distribution norms, not a correctness argument.
unstated
21,728
problem:01-tokenization/post-hoc-vocabulary-expansion#assumption-4
parsed
Tied embeddings halve the problem
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/post-hoc-vocabulary-expansion.md
Tied embeddings halve the problem. False in the direction that matters — tying forces one vector to serve two roles with different optimal geometry.
violated
21,729
problem:01-tokenization/speculative-decoding-vocabulary-mismatch#assumption-1
parsed
Acceptance is i.i.d. across positions
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/speculative-decoding-vocabulary-mismatch.md
Acceptance is i.i.d. across positions — assumed by $S(alpha,gamma,c)$; violated: acceptance is strongly autocorrelated (bursty), so $S$ overestimates variance-free gain and mis-predicts optimal $gamma$.
violated
21,730
problem:01-tokenization/speculative-decoding-vocabulary-mismatch#assumption-2
parsed
Detokenize–retokenize is an identity on model outputs
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/speculative-decoding-vocabulary-mismatch.md
Detokenize–retokenize is an identity on model outputs — violated whenever the target can emit non-canonical token sequences (it can, with nonzero probability) and by byte-fallback/UTF-8 splits.
violated
21,731
problem:01-tokenization/speculative-decoding-vocabulary-mismatch#assumption-3
parsed
$V_p cap V_q$ carries most probability mass
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/speculative-decoding-vocabulary-mismatch.md
$V_p cap V_q$ carries most probability mass — often violated across tokenizer families; string-identical entries may differ in byte-level escaping (Ġ vs ▁) so the naive string intersection undercounts.
violated
21,732
problem:01-tokenization/speculative-decoding-vocabulary-mismatch#assumption-4
parsed
Target and draft prompts are the same tokens
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/speculative-decoding-vocabulary-mismatch.md
Target and draft prompts are the same tokens — vacuously false here; prompt segmentation differs, which changes $q$ itself.
violated
21,733
problem:01-tokenization/subword-regularization-at-scale#assumption-1
parsed
$q$ is a fixed, string-independent noise process
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/subword-regularization-at-scale.md
$q$ is a fixed, string-independent noise process. Violated: $q_alpha$ depends on $p_u$, which is fitted to the same corpus, so the noise is correlated with the data.
violated
21,734
problem:01-tokenization/subword-regularization-at-scale#assumption-2
parsed
Train and test segmentation distributions match
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/subword-regularization-at-scale.md
Train and test segmentation distributions match. Deliberately violated — that is the point of the method, and it makes $mathcal{L}_{text{SR}}$ a biased estimator of test bpb.
violated
21,735
problem:01-tokenization/subword-regularization-at-scale#assumption-3
parsed
Segmentation is the only thing varying
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/subword-regularization-at-scale.md
Segmentation is the only thing varying. Violated in most published comparisons, which change tokenizer algorithm (BPE vs unigram) at the same time as adding stochasticity.
violated
21,736
problem:01-tokenization/subword-regularization-at-scale#assumption-4
parsed
Effective vocabulary is unchanged
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/01-tokenization/subword-regularization-at-scale.md
Effective vocabulary is unchanged. Violated: BPE-dropout raises token-frequency entropy and effectively upweights short tokens, so sequences lengthen by 5–20% at $p=0.1$, changing FLOPs per document.
violated
21,737
problem:02-attention/attention-adversarial-context-injection#assumption-1
parsed
Provenance $rho$ is known and correct
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-injection.md
Provenance $rho$ is known and correct. Violated in practice: tool outputs get concatenated into a single user turn; multi-agent pipelines lose labels at hop boundaries.
violated
21,738
problem:02-attention/attention-adversarial-context-injection#assumption-2
parsed
The injected span is contiguous and bounded
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-injection.md
The injected span is contiguous and bounded. Violated: attacks are distributed across many retrieved documents, and many-shot conditioning uses $10^2$–$10^3$ shots (Anil et al., 2024).
violated
21,739
problem:02-attention/attention-adversarial-context-injection#assumption-3
parsed
Attention weight is a proxy for information flow
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-injection.md
Attention weight is a proxy for information flow. Known false in general — attention weights are not identifiable as explanations (Jain & Wallace, NAACL 2019; Wiegreffe & Pinter, EMNLP 2019), and residual/MLP paths carry effect that $alpha_S$ misses.
violated
21,740
problem:02-attention/attention-adversarial-context-injection#assumption-4
parsed
Instruction and data are separable categories
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-injection.md
Instruction and data are separable categories. Zverev et al. (ICLR 2025) show the separation itself lacks an agreed formal definition; models score poorly on any of the candidates.
unstated
21,741
problem:02-attention/attention-adversarial-context-robustness#assumption-1
parsed
Perturbation lives in a continuous ball around embeddings
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-robustness.md
Perturbation lives in a continuous ball around embeddings — violated: insertion is discrete, changes sequence length, and shifts positional indices of all downstream tokens.
violated
21,742
problem:02-attention/attention-adversarial-context-robustness#assumption-2
parsed
Bounded input domain, so self-attention is Lipschitz
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-robustness.md
Bounded input domain, so self-attention is Lipschitz — violated in general: Kim, Papamakarios & Mnih (ICML 2021) show standard dot-product self-attention is not Lipschitz on an unbounded domain; bounds require an explicit input-norm cap.
violated
21,743
problem:02-attention/attention-adversarial-context-robustness#assumption-3
parsed
Trusted/untrusted boundary is known
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-robustness.md
Trusted/untrusted boundary is known — holds by construction in agent frameworks, but is violated whenever untrusted text is summarized into the trusted channel.
violated
21,744
problem:02-attention/attention-adversarial-context-robustness#assumption-4
parsed
$Phi$ is a faithful proxy for harm
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-adversarial-context-robustness.md
$Phi$ is a faithful proxy for harm — usually violated; see §6.
violated
21,745
problem:02-attention/attention-as-faithful-explanation#assumption-1
parsed
Baseline $b$ is off-manifold-neutral
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-as-faithful-explanation.md
Baseline $b$ is off-manifold-neutral. Violated — masking creates inputs outside the training distribution; measured $Delta$ mixes attribution with distribution shift (Hooker et al., ROAR, NeurIPS 2019).
violated
21,746
problem:02-attention/attention-as-faithful-explanation#assumption-2
parsed
Contributions are additive over positions
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-as-faithful-explanation.md
Contributions are additive over positions. Violated — attention heads compose multiplicatively across layers; single-token $Delta$ misses interactions.
violated
21,747
problem:02-attention/attention-as-faithful-explanation#assumption-3
parsed
Attention is the only routing channel
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-as-faithful-explanation.md
Attention is the only routing channel. Violated — residual stream, LayerNorm scaling, and value-vector norms all carry magnitude that $A$ does not (Kobayashi et al., EMNLP 2020).
violated
21,748
problem:02-attention/attention-as-faithful-explanation#assumption-4
parsed
One true explanation exists
real
2026-10-07
ai_research
2026-09-10
https://github.com/samyama-ai/ai_research/blob/a02e87b368016fd9568ba5ae8561ea601a8dee41/topics/02-attention/attention-as-faithful-explanation.md
One true explanation exists. Violated under redundancy: two duplicated evidence tokens each have zero individual causal effect.
violated
End of preview. Expand in Data Studio

AI Research Open-Problems Knowledge Graph

29,707 nodes. 62,842 edges. A catalog of 1,000 open and hard research problems in AI and machine learning as a graph: each problem with its topic, the papers it cites and their authors and venues, the assumptions it rests on, the open questions it leaves, what blocks it, and the next experiment that would move it.

Built with Samyama Graph. Source catalog: samyama-ai/ai_research, commit a02e87b368016fd9568ba5ae8561ea601a8dee41 (source date 2026-09-10, retrieved 2026-10-07).

Licence: not yet chosen. The source repository states no licence. This card will be updated when one is chosen. Until then, do not assume any reuse rights.

What is in it

Every problem page in the source catalog follows a 10-section template. The graph keeps its structure:

  • Problem (1,000) — title, statement, and status: open 401, empirically-open 295, partially-solved 189, methodologically-blocked 96, solved-but-impractical 19.
  • Topic (35) — the catalog's taxonomy, from tokenization onward.
  • Paper (4,932), Person (15,102), Venue (527) — the literature each problem cites, parsed from the pages' references.
  • Assumption (3,263) — what a problem rests on, with whether it is violated.
  • OpenQuestion (3,790) — classified as theoretically open (1,152), empirically open (1,509), methodologically blocked (1,088), or unclassified (41).
  • Obstruction (6) — recurring reasons progress is blocked, e.g. confounded measurement.
  • FutureDirection (1,000) — the concrete next experiment, one per problem, with its scale.
  • Institution (51) — groups active on a problem.

Provenance — read this

  • Problem pages are synthesized, not verified. The source template marks each page synthesized | verified; all 1,000 here are synthesized (catalog_provenance column). Treat statements, assumptions, open questions and proposed experiments as a structured draft, not as reviewed expert consensus.
  • Citations are intended to be real. The source catalog's rules forbid fabricated identifiers and its audit checks titles against the arXiv API. Paper nodes carry arxiv_id or doi where present. They have not been independently re-verified for this release.
  • Every node carries source_url pointing at the exact file and commit it was parsed from, and method saying how it was derived (parsed, name-matched, keyword-classified).
  • Person nodes are author names as printed in citations, not resolved identities. Two people with the same name may share a node, and one person cited two ways may have two.

Why a graph

// Which papers underpin the most open problems?
MATCH (p:Problem)-[:CITES]->(paper:Paper)
WHERE p.status IN ['open', 'empirically-open']
RETURN paper.title, count(p) AS problems ORDER BY problems DESC LIMIT 10

// Problems that are empirically open — the experiment is runnable — and what it would cost
MATCH (p:Problem)-[:HAS_GAP]->(q:OpenQuestion {kind: 'empirically_open'}),
      (p)-[:HAS_NEXT_EXPERIMENT]->(f:FutureDirection)
RETURN p.title, f.scale LIMIT 20

// Shared hidden assumptions across topics
MATCH (t1:Topic)<-[:IN_TOPIC]-(:Problem)-[:RESTS_ON]->(a:Assumption)<-[:RESTS_ON]-(:Problem)-[:IN_TOPIC]->(t2:Topic)
WHERE t1 <> t2
RETURN a.name, collect(DISTINCT t1.name) AS topics LIMIT 20

Files

Nodes carry an id; edges reference those ids as src and tgt. A node's own key from the source (e.g. person:rico_sennrich) is in the key column. List-valued properties are JSON strings.

nodes/

File Rows
person.csv 15,102
paper.csv 4,932
openquestion.csv 3,790
assumption.csv 3,263
problem.csv 1,000
futuredirection.csv 1,000
venue.csv 527
institution.csv 51
topic.csv 35
obstruction.csv 6
datasource.csv 1

edges/

File Rows Connects
authored_by.csv 28,757 Paper → Person
cites.csv 12,615 Problem → Paper
appeared_at.csv 4,365 Paper → Venue
has_gap.csv 3,790 Problem → OpenQuestion
rests_on.csv 3,263 Problem → Assumption
related_to.csv 3,128 Problem → Problem
active_on.csv 2,476 Institution → Problem
blocked_by.csv 1,448 Problem → Obstruction
has_next_experiment.csv 1,000 Problem → FutureDirection
from_source.csv 1,000 Problem → DataSource
in_topic.csv 1,000 Problem → Topic

Usage

from datasets import load_dataset
problems = load_dataset("VaidhyaMegha/ai-research-kg", "problem")
docker run --rm -p 8080:8080 -p 6379:6379 public.ecr.aws/f9f6l5u4/samyama-graph:1.1.0
curl -X POST localhost:8080/api/snapshot/import -F "file=@ai-research.sgsnap"

Verification

  • Totals reconcile against the snapshot header: 29,707 nodes, 62,842 edges, 11 labels, 11 edge types.
  • 0 dangling edges. 0 orphan nodes.
  • CSVs were exported from the same snapshot that is published here.

Limitations

  • Problem content is synthesized and unreviewed (above).
  • Edge creation timestamps are not in the snapshot; node timestamps are.
  • Author names are not disambiguated.
  • A point-in-time export of one commit; the source catalog keeps changing.

Citation

AI Research Open-Problems Knowledge Graph, v1.0 (29,707 nodes, 62,842 edges).
Built with Samyama Graph. https://huggingface.co/datasets/VaidhyaMegha/ai-research-kg
Source: https://github.com/samyama-ai/ai-research-kg.git
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