100% Private On Device Storage

Turn Scattered Thoughts Into Connected Works

No more time lost organizing. Instantly connect your sources, capture thoughts, and recall everything scattered. Constella links it all for you.

CONNECTED MEMORY SYSTEM

Ask across the contents of all your
files and apps

A pure magical experience.

+What did my March memo say about graph-memory pricing?
Constella · from your files

Your March 14 memo argued the graph-memory tier should price on retrieved-node count, not raw token count 1. You revised that twice in April after your call with the Notion PM 2, landing on a per-seat + usage hybrid you sketched in roadmap.md 3.

indexing 2,481 files3 sources cited in answer

YOUR SECOND BRAIN, IN MOTION

How Your AI Second Brain Works

Local files flow in, fuse into one connected mind, and become living insights — answered by your own context.

Local files
research-notes.md
q4-report.pdf
investor-email.eml
~/projects/notes
vault
Insights & agents
What did I think about graph memory?
Agent · ResearchYour March memo contradicts this funding angle.
Agent · StrategyBold cut to fewer products — already in your notes.

YOUR ALWAYS-ON AGENT

A Central Dashboard for All
Your Assistants

Hand over your scattered to-dos. One agent works through them in the background — sourcing from your notes, tickets, and inbox.

Constella Agent
RunningConstella Agenthanded off from Todoist + Notion
000Items handled
00Active now
00% on time
ACTIVE DIRECTIVES // TODOIST + NOTION18 ITEMS
AGENT LOG> waking up · loading context · syncing sources…

Maximum Privacy

All 100% Stored On Your Computer.
Approved for Sensitive Work.

The maximum privacy possible. Pairs with your local models for HIPAA compliant work.

Tailored to your work

Answers that knowwhat you do all day

Constella reads in your sources, then speaks the language of your craft — with citations from your own work.

YouAnyone tested context-window decay in 50k‑token MoE models with sparse routing?
Constella · Research

Your March lit review covers three of these directly. [1] reports a 14% effective-context drop past 32k on Mixtral-class models — but [2] contradicts that on Snowflake Arctic at the same depth. Your own notes from [3] flagged the eval methodology gap between them.

1
Liu et al. — Lost in the Middle, RevisitedarXiv:2403.18119 · saved Mar 14 · pp. 7–9
PDF
2
Snowflake AI Research — Arctic long-context benchblog.snowflake.com · clipped Apr 02 · section “100k decay”
WEB
3
research-notes.md — “eval gap: needle vs. retrieval”obsidian vault · updated Apr 09 · 4 backlinks
NOTE
YouWhat’s shipped this sprint and which ideas are blocked on the new pricing change?
Constella · Product

Three updates shipped: [1] rolled out per-seat billing on Tuesday. [2] from your roadmap.md is now blocked — the volume-tier idea assumes the old usage-meter, which we just removed. [3] from Linear is the unblocker; assign it before sprint planning.

1
Changelog — v2.14 · Per-seat billing & team plansNotion · shipped Tue Apr 22 · 2 hot‑fixes
SHIP
2
Idea — volume-tier discount for high-usage teamsroadmap.md · drafted Mar 28 · blocked by billing rewrite
IDEA
3
CON‑842 · Restore usage-meter behind feature flagLinear · opened Mon · assignee: —
TICKET
YouHas any recent case law affected the enforceability clause in our standard NDA?
Constella · Legal

Yes — [1] narrowed the scope of perpetual-confidentiality clauses in NorCal jurisdictions. That conflicts with section 4(b) of your current template [2]. Your memo from January [3] already drafted the carve-out language — it just needs the citation updated.

1
Brightline v. Sequoia Holdings, 2026 Cal. App. 4th 1182Westlaw · decided Feb 11 · reversed in part
CASE
2
Standard NDA v3.2 — § 4(b) Survival of obligationstemplates/ · last edit Jan 04 · used in 47 deals
DOC
3
Memo — “Confidentiality clause carve-outs (CA)”Word · Jan 21 · 3 referenced cases
MEMO
YouPt. R.M. on metformin reporting new fatigue — anything flagged in their chart?
Constella · Clinical

Their last B12 panel [1] showed 211 pg/mL — sub-threshold for metformin-associated deficiency. The Apr 9 visit note [2] mentions tingling in extremities, which fits. NICE guidance [3] recommends supplementing before adjusting dose.

1
Lab panel — CBC, B12, ferritin · Patient R.M.EHR · drawn Mar 18 · B12 = 211 pg/mL (low‑normal)
LAB
2
Visit note — follow‑up, diabetes mgmtEHR · Apr 09 · you noted distal paresthesia
CHART
3
NICE NG28 — Type 2 diabetes mgmt in adultsguideline · saved Feb · § 1.6.10
GUIDE
Cited from your sourcesNever trained on your data

Powerful Chrome Extension

Instantly clip, summarize, and recall as you read and write on the web.

Constella rides along in every tab — clipping what matters, summarizing as you read, and surfacing what you already know right as you draft.

01 Instant clip Clip any page to your vault as you read
arxiv.org/pdf/2606.06494v1
1 / 9 100%
arXiv:2606.06494v1  [cs.LG]  4 Jun 2026

Spectral-Tail Adapters: Protecting Principal Components in Parameter-Efficient Continual Learning

Marius HalloranInstitute for Adaptive Systemsmhalloran@ias.edu
Ioana PetrescuInstitute for Adaptive Systemsipetrescu@ias.edu
A. DelgadoInstitute for Adaptive Systemsadelgado@ias.edu
Florin BrandtInstitute for Adaptive Systemsfbrandt@ias.edu
L. OkaforInstitute for Adaptive Systemslokafor@ias.edu
Abstract

Parameter-efficient finetuning methods based on spectral decomposition have enabled progress in continual learning. In this paper we introduce Spectral-Tail, which utilizes the singular bases U and V of the pre-trained weights as a fixed reference frame to learn a low-rank update applied to the singular value matrix. A soft spectral penalty discourages updates aligned with the dominant singular directions, reducing interference while routing fine-grained adaptation into the long-tail coordinates.

1  Introduction

Large Language Models (LLMs) have achieved remarkable performance across diverse reasoning and generation tasks (Zhao et al., 2023; Minaee et al., 2024). However, adapting these models to new domains remains computationally expensive, as full fine-tuning requires updating billions of parameters.

Among PEFT approaches, Low-Rank Adaptation (LoRA) (Hu et al., 2021) has emerged as one of the most widely adopted. Motivated by the evidence that task-specific updates lie in a low-dimensional subspace (Li et al., 2018), LoRA freezes the pretrained weights and learns two trainable low-rank matrices.

Existing low-rank methods often suffer from interference between overlapping update directions, especially when models are adapted across sequential tasks. Since the largest singular values encode the most critical structure, modifications there disproportionately degrade prior knowledge.

To mitigate this, we propose a spectral regularization scheme that selectively penalizes updates to the dominant singular components while allowing greater flexibility in the lower-rank "tail". Our specific contributions are as follows:

  • We introduce Spectral-Tail, a low-rank adaptation method operating over the singular values of a weight matrix, coupled with a soft regularization that steers updates toward the spectral tail.
  • Different from existing continual PEFT methods (Das et al., 2026; Wang et al., 2023a), it requires no access to adapters from prior tasks, preserving the privacy of each user's task-specific data.
  • We evaluate on a suite of continual learning tasks, matching state-of-the-art methods while increasing the stable rank of the weight matrix.

2  Related Work

Spectral LoRA variants. Leveraging the spectral properties of base weights W is a key strategy in PEFT. Many SVD-based approaches (Meng et al., 2024; Lingam et al., 2024) partition the spectrum to align trainable updates with the structure of pretrained matrices for more efficient tuning.

S The Signal
HomeEssaysArchive
Workflow · 6 min read

How I Use an AI Second Brain to Run My Business

Ever since I started saving everything into one place, meeting prep that used to take me an hour now takes five minutes, and the research that used to eat half a day takes twenty.

When you're running a business, most of the real work is hunting for context that's scattered across a dozen apps, old chats, and articles you swear you read last month. The fix isn't more notes; it's a system that recalls the right one at the right moment.

It could be a decision you made about this exact problem a quarter ago, and the reasoning behind it. Or the report you skimmed in February that's suddenly relevant to the call you're on today.

When you're running a business, most of the real work is hunting for context that's scattered across a dozen apps…
Copy ⌘C
Search the web
Constella
Inspect
Clip selection
Send selection to chat
Stella Ready to read
Dashboard
+ Capture
Clip this page
Capture Note /

Select text and right-click to clip it

Ask Stella
Summarize key points
Recall related ideas
Search similar articles & papers
Sync your knowledgebases
Back to capture
Stella is reading
Stella
Page saved to your vaultLinked to 4 related notes · on-device
Ask about this page…
docs.google.com/document/d/1aZ9…/edit
Context Engineering in AI Brains
FileEditViewInsertFormat
Share
100% Normal text BIU

Context Engineering in AI Brains

Research draft · last edited just now

Personal knowledge tools promise perfect recall, yet most degrade into write-only archives. The bottleneck is rarely storage; it is context: surfacing the right memory at the exact moment of need.

Why retrieval is the hard part

Most retrieval systems treat memory as a flat store of chunks, but a real second brain has to weight recency, relevance, and the user's own

Ask about this doc…

Instant Overlay

Instant Capture & SearchThroughout the Day

Hit O while reading a paper, drafting in your inbox, or down a YouTube rabbit hole — capture the thought or recall what you already know, then disappear.

stratechery.com /2026/the-product-is-labor

STRATECHERY·7 MIN READ·APRIL 2026

The product is labor.

Anthropic, which has yet to produce a single year of profit, commands a valuation in the same stratosphere. These numbers need an addressable market large enough to justify them.

There is only one market that big — the global market for human labor. The frontier labs are not selling software, they are selling labor itself, packaged as inference.

As we’re getting closer to that future, the bottleneck has shifted. The model is not the moat; distribution is. And distribution, increasingly, looks like in-person marketing work — pitching a different reality to people who already have the old one working fine.

The gentler interpretation is that the next decade of AI work looks less like coding and more like sales.

in-person marketing work
From your canvas3 matches
#fieldworkSF coffee shop convos — how PMs actually pick tools5 nodes·2d ago
#researchIn-person events vs paid acquisition · ROI table3 nodes·5d ago
#go-to-marketStripe’s first 20 customers — distribution moats11 nodes·1w ago
Pinned to selection · stratechery.com