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However, in doing so, $\\Tilde{\\Delta}$ ceases to represent a physical sampling interval, limiting its irregular time series modeling capability. Continuous-time SSMs, such as S5, preserve the physical meaning of $\\Tilde{\\Delta}$ and handle irregular timestamps natively ($\\Tilde{\\Delta}\\equiv\\Delta)$, but their dynamics remain linear time-invariant (LTI), limiting per-token expressivity. We propose \\textbf{TIDES}, a selective SSM variant that reconciles selective and continuous architectures by moving input-dependence off the step size and onto the diagonal state matrix. As a result, $\\Tilde{\\Delta}$ retains its physical meaning, tied to the state discretization, allowing the model to handle irregular timestamps natively without sacrificing the per-token expres","title":"TIDES: Implicit Time-Awareness in Selective State Space Models","url":"https://arxiv.org/abs/2605.09742","vendor":"arxiv_cs_ai"},"summary":"arXiv:2605.09742v1 Announce Type: cross \nAbstract: Selective state space models (SSMs), such as Mamba, achieve strong per-token expressivity by making the time discretization step $\\Tilde{\\Delta}$ a learned function of the input. However, in doing so, $\\Tilde{\\Delta}$ ceases to represent a physical sampling interval, limiting its irregular time series modeling capability. Continuous-time SSMs, such as S5, preserve the physical meaning of $\\Tilde{\\Delta}$ and handle irregular timestamps natively ($\\Tilde{\\Delta}\\equiv\\Delta)$, but their dynamics remain linear time-invariant (LTI), limiting per-token expressivity. We propose \\textbf{TIDES}, a selective SSM variant that reconciles selective and continuous architectures by moving input-dependence off the step size and onto the diagonal state matrix. As a result, $\\Tilde{\\Delta}$ retains its physical meaning, tied to the state discretization, allowing the model to handle irregular timestamps natively without sacrificing the per-token expres","title":"TIDES: Implicit Time-Awareness in Selective State Space Models","vendor":"arxiv_cs_ai"},"confidence":{"method":"deterministic"},"decision":"POSITIVE","issued_at":"2026-05-12T04:43:42Z","notes":"Spider vendor_press (news) news.vendor_press.v1","object":{"captured_by":"crovia.spider.vendor_press","primary_source_url":"https://arxiv.org/abs/2605.09742"},"predecessors":[],"schema":"crovia.axiom.v1","signature":"ed25519:40bbed984d3fe4dca27d1d5596902fe676e09db94709272b4806ed8ed5b830d41dcd698aa3167addf1d70918e1c42aae429b4e299de8b9b41f3cadefdc04a902","signer":"crovia.substrate","subject":{"observed_at":"2026-05-12T04:43:42Z","source_collector":"spider:vendor_press","target_id":"https://arxiv.org/abs/2605.09742"},"tsa":{"authority":"crovia.substrate.bootstrap","rfc3161_token":"{\"kind\":\"crovia.bootstrap.tsa\",\"source_jsonl\":\"/opt/crovia/spider/data/news/vendor_press_v1.jsonl\",\"source_seal_merkle_root\":\"spider_vendor_press_v1\",\"upgrade_path\":\"Sessione H \\u2014 OpenTimestamps weekly anchor\"}"},"zk_mode":"clear","zk_proof":null},"ledger":{"leaf_hash":"b009ce7f9fd45f4ac0ded0310737ada96b6c0f02ea369f9d6dae1ec39bed541b","leaf_index":128764,"ledger_path":"/opt/crovia/substrate/axiom_ledger.jsonl"},"merkle_proof":{"hash_alg":"sha256","leaf_prefix":"0x00","node_prefix":"0x01","odd_leaf_rule":"duplicate_last","path":[{"sibling":"2a9e7f7e44ad72ecbdad9feb1812bf9c1ead65e91ddd087178df73bd4ac68186","side":"right"},{"sibling":"aa9496b61f1405560d3c0a5d3535b9211b9199beb7df6a1fc9d5ce1d2ee661da","side":"right"},{"sibling":"92308b77d0ff7a02f298ad8d80de248dcb478ed1aeb79e5ecea6758f2da29839","side":"left"},{"sibling":"ab1eece9fa2dac1a67fb05373cca6825717776e41077667537dd55a54c36b702","side":"left"},{"sibling":"5f3adec406ab641d1d0ae8eb8899ae5a84acdfbca83f81f8c6d26616bff69cff","side":"left"},{"sibling":"4c99c0fa50bab9cfdff8620bd6186743c3ee2c9ecf9b69f24fe1d40c85b9423f","side":"left"},{"sibling":"b8399efa86c600d3b6c6043f58d34ae85891a591cd008a713987d313dca752fc","side":"left"},{"sibling":"66ed9d27919b2830cd6c07ec62488d62635d76aad26e26435c6ebbcd12730198","side":"left"},{"sibling":"831b04b4dcc29bcff4577c406291bc4f644057b650a55f064d46d1cab5185326","side":"right"},{"sibling":"1d74b0fb79eace68949b4d82b0e430b1d9eb122c125f67f5be7d50c074c228e7","side":"left"},{"sibling":"c6eaf7a4fcab2db96e9e9423acb6922c80f64882d0f3f50d09e53a4807d23084","side":"left"},{"sibling":"df12eaabc0a370aff5d0488478f48d2b3f90d025c903643f98ea804b017688ec","side":"right"},{"sibling":"ffc4d51379293bc3e1910c7d612f409dc610fd9acf8241793fb89f82e1bad4ef","side":"left"},{"sibling":"62ac6554017807bd83187f5a3e5f4f72d6c482616429c2780e9fff1f4845fa04","side":"left"},{"sibling":"3a5e69cf0803f4c91f3895ed7c9a95748fef240bec4422e167c05300f79f06c0","side":"left"},{"sibling":"f2817ab288b5324fe49770372c7a10f33f7cd11005f8d4c0a730316f5229dc98","side":"left"},{"sibling":"725fac972e772ca0dc598810ea1abc70df472f72d2d6ab8a0baee2b80e5d2f4c","side":"left"},{"sibling":"98fc57dfef8873b512edc8340f7181df57302bb96777625e072235c62d7c5895","side":"right"}]},"schema":"crovia.axiom_proof.v1","seal":{"first_collector_run_id":"","first_receipt_hash":"","jsonl_path":"/opt/crovia/substrate/axiom_ledger.jsonl","key_id":"430895f101d38164","last_collector_run_id":"","last_receipt_hash":"","leaf_count":134292,"merkle_root":"77fc9c28fae777b81da5b495b3115474df6592dfac590333213d3bdf8b94a9b3","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","run_id":"hourly_json_retrofit_20260515T023701Z","schema":"crovia.seal.v1","seal_family_version":"crovia-seal-family/1","seal_kind":"substrate_batch","sealed_at":"2026-05-15T02:37:25Z","sig_algorithm":"ed25519","signature":"68107a834b00b24f5d4501e5ec727445311f132a486567ecc4c72a4e6dff24c8c21f2de3105293353ba5fdbe370d032819af6aa70f694e2e39b6af6737507009","signer_version":"1.1.0"},"trust_root":{"key_id":"430895f101d38164","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","signature_algorithm":"ed25519","url":"/registry/canon/TRUST_ROOT.md"},"verifier":{"spec":"/registry/canon/AXIOM_RECEIPT_v1.md","url":"/v/axm_f90598fbec99423aca7ef34e62707b82d3ccca4a099b4bd758407e319a484d35"}}