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REVIEW 4 major objections 6 minor 1 cited by

LAST SToP For Modeling Asynchronous Time Series

T0 review · 4 major / 6 minor · reviewed 2026-08-09 · deepseek-v4-flash

Pith's one-line read A frozen large language model can forecast, detect anomalies in, and impute irregular timestamped event sequences when they are written as text tuples, and the StoP tuning method beats QLoRA.

desk verdict Promising LLM prompting for asynchronous time series with a useful StoP trick, but the SOTA claim is overstated and the win-rate numbers don't match the table. read the letter →

arxiv 2502.01922 v1 pith:G6ZFS3KY submitted 2025-02-04 cs.LG cs.AI

classification cs.LGcs.AI
keywords asynchronoustimeserieslargelanguagemodelstemporalpointprocessesprompttuningsoftpromptinganomalydetectionimputationforecasting
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper claims that a frozen large language model can analyze asynchronous time series—sequences of timestamped events described in natural language—if the series is formatted as a simple text prompt of comma-separated (inter-arrival time, event description) tuples. The authors introduce LASTS, a prompt structure for this, and show that the same prompt enables forecasting, anomaly detection, and imputation without building a new model per task. They also propose Stochastic Soft Prompting (StoP), which trains a soft prompt by randomly using a prefix of it in each batch, and report that it improves event-type Macro-F1 by roughly 13 percent over QLoRA and standard soft prompting while training about 25 percent faster. If correct, this extends LLM-based time-series modeling beyond evenly spaced numerical series to irregular event streams and to datasets far too large for classical point-process models.

What carries the argument

Two objects carry the argument. The first is the LASTS prompt, a system-user-assistant template that turns an asynchronous time series into a comma-separated list of tuples written as (inter-arrival time, event description), with task instructions and dataset context in the system prompt. The second is Stochastic Soft Prompting (StoP), a trainable soft-prompt method that in each training batch samples a random prefix length and back-propagates only through that prefix, while using the full prompt at inference; this makes every prefix a valid standalone prompt and produces a coarse-to-fine structure in which early tokens are diverse and later tokens refine. The separating claim is that this structured stochasticity, not randomness alone, is what gives the performance gain.

What would settle it

A reader could test this by generating a held-out asynchronous series from a known renewal process, fitting LASTS+StoP and a standard Hawkes baseline, and comparing conditional log-likelihood of the inter-arrival times; if the LLM's times do not track the baseline's conditional intensity, the claim that it models timing is refuted.

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Extended reading notes

Core claim

The central claim is that the natural-language descriptions attached to events are not noise to be discarded but the main signal: an LLM prompted with LASTS can reason about which event comes next, which event is missing, and which event is out of place, using world knowledge encoded during pretraining. The paper supports this with experiments on three text-annotated activity datasets and five standard temporal-point-process datasets. On the five standard benchmarks, LASTS with StoP beats the compared temporal point process models on 13 of 18 evaluation cells and is top-two on 17 of 18, including all event-type predictions; on the text datasets, StoP outperforms both QLoRA and standard soft prompts on almost every event-type metric. The authors also state that the model has no explicit prior on the time distribution, which they identify as the reason its time error trails specialized point-process models on a few datasets.

Load-bearing premise

The load-bearing premise is that a frozen LLM trained to predict text tokens can produce reliable continuous inter-arrival times from a short textual tuple, even though the paper states (Section 4.4) it has no explicit prior about the time distribution.

Editorial extensions

If this is right

  • The same frozen LLM can score forecasting, anomaly detection, and imputation from one prompt format, so new tasks on asynchronous series need prompt text rather than a new architecture.
  • Datasets with thousands of distinct event descriptions, where temporal point process models run out of memory or fail to converge, become tractable: LASTS+StoP is reported to work on EPIC-KITCHENS with roughly 20,000 unique narrations.
  • StoP-trained prompts can be truncated to any prefix at inference time and still function, allowing prompt length to be traded against cost on the fly.
  • Quantitative evidence that event text matters: replacing descriptions with gibberish four-letter strings degrades all metrics, so the method's gains depend on the LLM's world knowledge rather than on the time series structure alone.
  • The method also works when only integer event-type indices are available, beating the compared TPP models on most evaluations.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Beyond the paper's experiments, the same prompting should apply to regular time series if numeric readings are verbalized as events, which would unify LLM forecasting for regular and irregular series under one representation.
  • Because the authors say the model lacks an explicit time prior, a hybrid that adds a parametric intensity head on top of the LLM's event-type predictions is the most direct repair for the few datasets where its time error is worse.
  • If StoP's prefix-validity transfers beyond time series, it becomes a general parameter-efficient adaptation trick: any downstream task could train one long soft prompt and truncate it at inference to trade quality for compute.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 6 minor

Summary. The paper proposes LASTS, a prompt-design framework that encodes asynchronous time series (event type, inter-arrival time) as text for a frozen LLM, and introduces Stochastic Soft Prompting (StoP), a prompt-tuning method that trains on random prefixes of a soft prompt. The authors evaluate forecasting, imputation, and anomaly detection on three text-based action datasets (Breakfast, MultiTHUMOS, EPIC-KITCHENS) and forecasting on five standard TPP benchmarks (Amazon, Retweet, Taxi, Taobao, StackOverflow). The main claimed contributions are that LASTS enables LLMs to handle asynchronous time series across multiple tasks, and that StoP outperforms standard soft prompting and QLoRA in terms of Macro-F1 and MAE on these benchmarks.

Significance. If the results hold, the paper is a useful step toward applying LLMs to asynchronous event sequences with natural-language event descriptions, and the StoP mechanism is a simple, parameter-efficient alternative to QLoRA that appears to give consistent gains on event-type prediction. The paper includes informative ablations: the scrambled-names experiment (Appendix A.4) and the random-token-selection control (Appendix A.7) directly support the claim that textual semantics and structured prefix truncation, respectively, drive the gains. The scaling study across 1B/3B/8B backbones (Appendix A.10) is also a strength. However, the headline 'state-of-the-art' claim is overstated for time prediction, the reported win rates in Table 2 are not reproducible as written, and the absence of error bars, parsing details, and code limits the confidence one can place in the quantitative results.

major comments (4)
  1. [Section 4.4, Table 2, Abstract] The paper states that LASTS+StoP 'outperforming existing TPP models on 13 of the 18 evaluations, and is in the top-2 best models on 17 of the 18 evaluations.' Table 2 contains 16 metric-dataset columns (8 datasets x 2 metrics), of which only 14 have baseline values (both EPIC-KITCHENS entries are OOM for all TPP baselines). A direct count of the table shows 13 wins and 13 top-2 placements among the 14 comparable evaluations, not 17 of 18. More substantively, the abstract's 'state-of-the-art performance across different tasks and datasets' is not supported by the time-prediction results: on Amazon, Retweet, and Taxi, LASTS+StoP RMSE (0.600, 16.498, 0.328) is worse than the best reported TPP baseline (NHP 0.449, NHP 15.623, SAHP 0.319). The authors should correct the win-rate counts and qualify the state-of-the-art claim, e.g., state-of-the-art event-type prediction with competitive time prediction, or report a combined metric across both components.
  2. [Section 4.4, Appendix A.3, Appendix A.4] The MAE/RMSE numbers in Tables 1 and 2 are obtained by parsing LLM-generated text into (inter-arrival time, event) tuples, but the manuscript never describes the parsing procedure, the handling of malformed or non-tuple outputs, or the fraction of parseable generations. This omission is load-bearing because if invalid outputs were discarded or silently corrected, the reported time errors would be optimistic. Please provide the exact extraction method and the per-dataset parse success rate, and report results under alternative failure-handling policies (e.g., count unparseable outputs as infinite error or clamp to the maximum observed value).
  3. [All experimental tables (Tables 1, 2, 6, 7, 8, 9)] No measure of variability is reported: every table gives single numbers without error bars, confidence intervals, or multiple seeds. Since StoP is stochastic by design and LLM generation at nonzero temperature is stochastic, the claimed average improvements of 12.69% over SP and 13.55% over QLoRA in Section 4.4 (and detailed in Appendix A.9) could be within noise. Please run at least three seeds for the main comparisons and report mean and standard deviation, or provide a statistical significance test.
  4. [General reproducibility] The manuscript does not state whether code or data will be released, and the full prompts are given only for the zero-shot setting in Appendix A.3, with the adaptation prompts summarized in Appendix A.5. Because the contribution is a prompt-design and PEFT method, exact prompts for every task and dataset, preprocessing scripts, and the hyperparameter search protocol are necessary for replication. Please include these in a supplement or a public repository.
minor comments (6)
  1. [Section 1 (Contributions)] There is a typo: 'an novel prompt-tuning mechanism' should be 'a novel prompt-tuning mechanism'.
  2. [Table 2 caption] The caption says 'Performance of models on next-event's type and type prediction across five real datasets,' but the table shows eight datasets and two metrics (M-F1 and RMSE); the caption should read 'next-event's type and time prediction across eight datasets.'
  3. [Section 4.5] The statement 'All prefixes are valid prompts in StoP' is a direct consequence of training on random prefixes, not an independent empirical finding; the wording should acknowledge that this is by construction rather than an observed property.
  4. [Section 4.3] The prompt length of 400 is said to be selected 'through hyperparameter tuning across all datasets and tasks,' but it is not stated whether this selection was performed on the validation sets; please clarify to rule out test-set contamination.
  5. [Figure 5] The t-SNE dispersion claim is qualitative; consider adding a quantitative dispersion measure (e.g., average pairwise token distance or a clustering index) to support the 'greater diversity' claim for StoP tokens.
  6. [Appendix A.8] The citation 'Xu et al.' appears without a year or full reference; please provide the complete bibliographic entry.

Circularity Check

1 steps flagged · score 2.0 of 10

No load-bearing circularity; the SOTA and StoP claims are supported by held-out test results. One self-definitional observation, prefix validity in StoP, is used as evidence for a coarse-to-fine structure, but that property is entailed by the training design.

  1. self definitional [Section 4.5, 'All prefixes are valid prompts in StoP', and Section 4.2, StoP definition]
    "All prefixes are valid prompts in StoP The training paradigm of StoP forces all prefixes of StoP to act as valid standalone prompts, as they are used as prompts during training for some batches (if trained for long enough). (see Figure 6). This further strengthens our belief that tokens in StoP are arranged from coarse, independent tokens at the beginning to tokens with tokens containing finer information towards the end."

    StoP is defined by randomly sampling a prefix P[:l] for each training batch, so every prefix being a usable prompt is a direct consequence of the training procedure rather than an independent empirical finding. The paper presents prefix validity as evidence supporting the coarse-to-fine interpretation, but the interpretation is inferred from a property that was built into the method by construction. This is therefore a self-definitional observation, not a circularity that undermines the paper's central empirical claims, which are evaluated on held-out test sets against external baselines.

full rationale

The paper's main claims are empirical: LASTS prompting enables forecasting, imputation, and anomaly detection on asynchronous time series, and Stochastic Soft Prompting improves over soft prompting and QLoRA. These comparisons are measured on test splits against external baselines (Chronos, LLMTime, LLMProcesses, RMTPP, NHP, SAHP, THP, AttNHP). No fitted parameter is renamed as a prediction, and no derivation reduces a result to the input by construction. The only self-definitional element is the 'all prefixes are valid prompts' observation in Section 4.5, which is entailed by StoP's random-prefix training; it is used to support a post hoc coarse-to-fine narrative, but it is not load-bearing for the performance claims. The paper's own admission that 'our model does not have an explicit prior about the time distribution' (Section 4.4) and the apparent mismatch between the stated '13 of 18 evaluations' and the 16 entries in Table 2 are verifiability or correctness issues, not circularity. Overall circularity is minimal.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The central empirical results depend mainly on hyperparameter choices and dataset assumptions. No new physical entities or data-generating mechanisms are postulated. The main structural assumption is that text-based LLM prompting can substitute for explicit temporal point process modeling.

free parameters (5)
  • soft prompt length L = 400
    Selected via hyperparameter tuning across all datasets and tasks (Section 4.3); affects capacity and training speed.
  • StoP prefix-length sampling distribution p(l) = uniform
    The paper states a uniform distribution is used but provides no sensitivity analysis over other sampling schemes.
  • learning rates = 2e-4 (QLoRA), 1e-4 (prompt tuning)
    Constant learning rates per adaptation method (Section 4.3); no scheduler and no grid reported.
  • LoRA rank = 4
    Chosen to give a comparable number of trainable parameters to the soft-prompt setup (Section 4.3).
  • few-shot example count k = 5
    Selected based on average performance across k in {0,1,2,5,7,10} (Appendix A.11).
assumptions (4)
  • domain assumption The LLM's pretrained world knowledge about event descriptions transfers to event-sequence prediction tasks.
    Section 4.1 and the scrambled-name experiment (A.4) test this only in zero-shot; adapted models may rely less on semantics.
  • domain assumption Next-token prediction loss on the LASTS text prompt is an adequate training signal for the joint distribution of event type and inter-arrival time.
    Section 4.2; the model has no explicit continuous-time head or regression loss.
  • domain assumption Macro-F1 and MAE/RMSE computed from parsed LLM outputs accurately reflect task performance, assuming parseable outputs.
    Sections 4.3 and 4.4; parsing robustness is not reported, and no handling of malformed generated tuples is described.
  • domain assumption The TPP baseline results from EasyTPP (Xue et al., 2024) are comparable, despite the present paper's different train/validation/test split (70/10/20) and data preprocessing steps.
    Section 4.3 and Appendix A.6; the authors say they follow the same preprocessing as EasyTPP, but no direct verification is provided.

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Cite this review

Pith. "Pith review of LAST SToP For Modeling Asynchronous Time Series." pith.science (2026). https://pith.science/paper/G6ZFS3KY

@misc{pith2026250201922,
  author       = {Pith},
  title        = {Pith review of: LAST SToP For Modeling Asynchronous Time Series},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/G6ZFS3KY}},
  note         = {Machine review of arXiv:2502.01922}
}
read the original abstract

We present a novel prompt design for Large Language Models (LLMs) tailored to Asynchronous Time Series. Unlike regular time series, which assume values at evenly spaced time points, asynchronous time series consist of timestamped events occurring at irregular intervals, each described in natural language. Our approach effectively utilizes the rich natural language of event descriptions, allowing LLMs to benefit from their broad world knowledge for reasoning across different domains and tasks. This allows us to extend the scope of asynchronous time series analysis beyond forecasting to include tasks like anomaly detection and data imputation. We further introduce Stochastic Soft Prompting, a novel prompt-tuning mechanism that significantly improves model performance, outperforming existing fine-tuning methods such as QLoRA. Through extensive experiments on real world datasets, we demonstrate that our approach achieves state-of-the-art performance across different tasks and datasets.

Figures

Figures reproduced from arXiv: 2502.01922 by the authors.

Figure 1
Figure 1. We show that our LASTS framework can solve [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Components of a LASTS prompt: A concise task description is included in the system prompt, while asynchronous time series is provided as an input in the user prompt. et al., 2022), events are typically reduced to categories from a small set of options. In contrast, we retain the event types ei as natural language descriptions. We introduce LASTS, which specifies how to input an asynchronous time series as part of a … view at source ↗
Figure 3
Figure 3. Comparison of Soft Prompt (SP) and Stochastic Soft Prompt (StoP) training. For illustration, the soft prompt [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (9 more)
Figure 4
Figure 4. Figure 4: ). • Foundation models for time series: We use a state-of￾the-art pretrained foundation model for time series fore￾casting, Chronos (Ansari et al., 2024), as a baseline for forecasting and imputation tasks on asynchronous time series ( [PITH_FULL_IMAGE:figures/full_fi…
Figure 5
Figure 5. Figure 5: Learned token representations of StoP and SP. The [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: StoP-trained prefixes function as standalone [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]
Figure 8
Figure 8. Figure 8: Normalized event counts (y-axis) vs. event types sorted by count (x-axis) for two datasets - Breakfast and [PITH_FULL_IMAGE:figures/full_fig_p013_8.png]
Figure 9
Figure 9. Figure 9: Comparison of performance metrics: Macro-F1 (M-F1), Mean Absolute Error (MAE), and Accuracy (ACC), [PITH_FULL_IMAGE:figures/full_fig_p017_9.png]
Figure 10
Figure 10. Figure 10: Comparison of Macro-F1 and MAE for StoP vs. random token selection during training, evaluated on validation [PITH_FULL_IMAGE:figures/full_fig_p018_10.png]
Figure 11
Figure 11. Figure 11: Comparison of average Macro F1 and MAE across all datasets and tasks for different model sizes. The left [PITH_FULL_IMAGE:figures/full_fig_p021_11.png]
Figure 12
Figure 12. Figure 12: Average values of Macro-F1, MAE, and ACC across all datasets and tasks for different values of [PITH_FULL_IMAGE:figures/full_fig_p023_12.png]
Figure 13
Figure 13. Figure 13: Left: t-SNE projections of Stochastic Soft Prompt (StoP) tokens with a prompt length of 50 on the Breakfast dataset for the forecasting task. Adjacent tokens are connected by a line, and the color darkens as the token index increases. The presence of lighter tokens on…

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Pith tools

Reviewed August 9, 2026 · model on record in the stance chip above.